Showing posts with label ethics. Show all posts
Showing posts with label ethics. Show all posts

20 January 2009

A Good Beginning

At my lab today they broadcast the inauguration of Barack Obama, the 44th American to become President of the United States, but the very first African American. Afterward they marked the lab's annual celebration of the Reverend Dr. Martin Luther King, Jr.'s birthday with a panel discussion on the question of whether Dr. King's dream that people would be judged "not by the color of their skin, but by the content of their character" had been achieved.

If the panelists hadn't said it, I would have. We have been forcefully reminded these past few weeks by the killing of Oscar Grant that it has not been achieved. Not fully, not yet. But today a huge stride has been made toward achieving that dream.

I remember another stride, taken 45 years ago.

In 1963, I heard that the middle-aged woman who was to be my fourth grade teacher told her class in our segregated, all-white school that they should "never let a colored child be your friend." I was in her class when the school was desegregated in 1964. As far as I could tell, she never let her prejudice show to her new students, white or black. At the end of the academic year, as was her longstanding custom, she kissed each and every one of her students on the forehead as they left her classroom for the last time. That year was a big step for her, and for all of us fourth-graders. Those purple lipstick marks on those dark foreheads could have been little prophecies that this day would surely come.

04 January 2009

Yes, I've Thought About It

I've been blogging recently about the problems associated with reducing the US nuclear weapons arsenal deliberately or by neglect. Am I for real, or am I just one of those people who deny the horror of what they contemplate by "psychic numbing" as Robert Jay Lifton believed? Am I one of those dehumanizing and dehumanized beasts that Bob Dylan wrote of in Masters of War?


Master Of War - Pearl Jam - Nuclear Remix - WalKnDude

I do not dare resolve that question for myself. That would be immoral. The Apostle Paul wasn't kidding when he said in his letter to the Phillipians (2:12), "work out your own salvation with fear and trembling." Not for me. And not for you either, though you may not be aware of it.

But I do what I do because I believe all humanity needs it to be done. And yes, I believe the special status of the United States (despite its imperfections) as the last, best hope for the spread of liberal democracy requires me to do what I can to keep it strong. Liberal democracy (government chosen by the people it governs, and limited in its power over the people it governs) may not make a heaven on earth, but all the other systems of government have made hells.

See also: Obscenity and Peace, in which the obscenity referred to is war itself.

14 November 2008

Fascism or Ignorance?

Here is a recent note by the Diesmeister:

As the Republican Party mulls its recent defeat and seeks the road forward, discordant notes emerge from leading conservative voices. Some have made useful calls for moderation, patience, or a refocus on core values. All of these are legitimate parts of a discourse for renewal. Amid these have appeared some articles which are either terrifying or merely tone deaf in precisely the register that presaged the most recent Republican debacle.

The National Review Online posted an article, Restoring Reaganism, by Deroy Murdock in which the author issued a call for the Republican Party to reenact a famous Nazi purge, which resulted in at least 80 deaths and 1000 arrests. Murdock wrote: “What the Republican party today badly needs is a Night of the Long Knives.” By this he meant the party should eliminate heretics from its ranks and return to the purity of conservative principles. We may charitably assume he did not advocate the actual murder of dissenting voices within party ranks.

The political merit of expelling moderate voices is dubious and the language used in this instance is reprehensible. Advocating a Night of Long Knives is terrifying for the intolerance and violence it implies. It is precisely intolerance which hung like an albatross about the neck of the Republican ticket. Does the conservative movement in America truly intend to invoke fascist images as it seeks renewal?

The timing for this article could hardly have been worse. According to the website it was posted the day after the 70th anniversary of another famous Nazi purge, Krystallnacht when about 100 Jews were killed outright and 30,000 more were sent to prison or into camps. We might forgive Mr. Murdock for not keeping a clear knowledge of important events in world history, but the editorial board of the National Review should not be excused for failing to make the connection. Surely someone must have the historical knowledge to recognize a singularly ill-timed reference.

Is the editorial board sufficiently comfortable with the images of fascism that neither the reference nor the timing struck them as ill-conceived. Given this editorial lapse will Mr. Murdock next deploy the image of Krystallnacht itself in some future paean of political wisdom?

15 April 2008

Brother Jed has a Point

I think it was the spring of 1978 at The University of Texas at Austin when I first encountered the Preacher Man. Only later did I realize that he was probably the famous George Smock, aka "Brother Jed." He was saying something like

All the women on this campus are whores, and all the men are just boys!


One of my students, Tawny, took him on. She argued boldly that a mature, responsible, and moral sexuality was possible without adhering blindly to the blanket prohibition of sex between people not married to each other. I admired her courage. And I thought she was right.

Thirty years later the Centers for Disease Control states that nineteen (19) million new STD (sexually transmitted disease) infections occur each year, almost half of them among young people ages 15 to 24. Whether you agree with Brother Jed or not, he has science on his side. If absolutely everyone abstained from any kind of sexual activity outside of marriage, STDs would die out. And if people resumed their present habits after the STD die-out, new ones would arise to take advantage of the ecological niche offered by networks of sexual contacts.

Simply put, abstinence and chastity are good public health. If you are screwing around, don't expect the rest of us to take you seriously when you admonish us about the environment, vegetarianism, or any issue demanding behavioral changes to improve public health, safety, or sustainability. First get your own act together.

Now I don't expect everyone to be abstinent outside of marriage. But I do expect you to keep the number of your sexual contacts low as part of your obligation to respect and preserve our human environment.

03 April 2008

Lord of the Flies

Third graders in Waycross, GA, plotted to kill their teacher. At Yahoo News, the Associated Press story begins

Allegations that third-graders hatched an elaborate plot to knock out, handcuff and stab their teacher were met with shock by neighbors and with doubt by psychiatry experts who said it is unlikely that children that young seriously intended to hurt anyone.

Police say the plot at Center Elementary School began because the children, ages 8 to 10, were apparently angry after the teacher disciplined one of the students for standing on a chair.

Students brought a crystal paperweight, a steak knife with a broken handle, steel handcuffs and other items as part of last week's plot, police said Tuesday. They said nine students were involved, but prosecutors are seeking juvenile charges against only three of them.

Experts said children that age are certainly imaginative and capable of creating elaborate games. But Dr. Louis Kraus, a child psychiatry expert at Rush University Medical Center in Chicago, said he doubts they would have actually attacked.


It continues in that vein to leave the impression that the writers think this is an unusual and isolated incident. It is not. Just a few days before another group of kids about the same age were in the process of hatching a plot to kill their teacher in a public city school in Manhattan. This one didn't make the news, but I can report it here, because I know the teacher.

And now, just last evening my neighbor's teenaged son was mugged. The neighbor's email reads, in part

He was walking home from his girlfriend's house at 11:30 pm . A car (new Lexus) with 5 boys drove up, they jumped out of the car and surrounded him. They had baseball bats and golf clubs. All he had was his cell phone which they took. They did not believe that he didn't have anything else, so they patted him down. They also wanted his shoes, but didn't take them when they found out they weren't expensive ones.

He called 911 as soon as he got home. The police were there very quickly. They caught the guys at the Shell station by Lucky.

When they were caught they had a trunk full of shoes and other stolen goods. They confessed to the mugging and were linked to other crimes. They had been cruising PLS neighborhoods looking for open garages and people to steal from.

Two of them were over 18 so were taken to jail the other 3 were juveniles.


"Why can't the English teach their children how to speak?" laments Henry Higgins in the musical comedy, My Fair Lady. To which I reply, why can't the Americans teach their children how to behave?

What are we teaching our children? Where are they getting these ideas? Are we exposing morally immature minds to crime shows like The Sopranos, and Law & Order? Or are we simply not paying attention while they form their own little violent tribes or gangs, partly in cyberspace, partly all too really in this world?

William Golding knew what kids will do when left without close and powerful adult supervision. They act uncivilized because they are uncivilized. It takes constant effort on the part of their parents and their society to civilize children, and that effort must last for the first 18 to 25 years of the children's lives. If you don't know what I mean, go to your local library and check out a copy of Golding's short novel, Lord of the Flies.

I've read many pieces on the decline of the West, most of which are bulls--t, and none of which put their finger on one inescapable truth. If you want to have a civilization, you must civilize your kids. And don't assume you can delegate the task to your schools (which are overwhelmed with uncivilized kids) or even your churches.

So to the educators, psychiatrists, and parents out there: Get out of your denial, get control of your kids, and socialize them to norms of decent behavior. Otherwise, it will be every one for himself, and us aging boomers will have no choice but to get concealed-carry permits.

15 March 2008

The Point of Eliot Spitzer

If you go to the office of the Governor of New York website, you find this charming quotation:

Eliot Spitzer was inaugurated as New York’s 54th Governor on January 1, 2007. In his inaugural address, Governor Spitzer said: "Every policy, every action and every decision we make in this administration will further two overarching objectives: We must transform our government so that it is as ethical and wise as all of New York, and we must rebuild our economy so that it is ready to compete on the global stage in the next century".


Now we know that Eliot Spitzer, once New York's Attorney General, was not what he presented himself to be — a knight in shining armor riding to avenge the downtrodden little guy. In case you have been in a cave the last couple of weeks, Eliot was caught laundering money to pay for his visits to $5000/night prostitutes. It's the very same kind of corruption Eliot fought against when he was a prosecutor. One could say that Eliot was a hypocrite, but that doesn't tell us much. The point is that all the while Eliot was fighting corruption, he was actually fighting his own inner demons — by attacking them as he found them in other people.

His fall is well-deserved, considering the suffering he brought via his overzealous prosecutions of people, not all of whom had committed crimes. But it is also pathetic, considering that he fell prey to the most common of temptations — not the sex — the urge to fight one's demons in other people, rather than face them in himself. To illustrate how common it is, that particular urge plays a big part in making war, policing our communities, preaching, prejudice, etc. It is a bad thing that can be harnessed to get us to do good things, but only when it is channeled and checked.

So, I view Eliot as a kind of Everyman. I do not rejoice at his fall. But I am relieved that one can still so fall, even if one is a Democrat. Indeed, contrary to the example set by Bill Clinton, Spitzer has come clean, and resigned his office. I hope he seeks psychotherapy to root out those inner demons and become a free man.

Certainly we, a free people, must insist on having free leaders. Not leaders who are slaves to their own desires or other temptations.

22 January 2008

God Save us from our Politics

Vance has a really great post, The last things and things before the last, in which he uses quotes from Bonhoeffer's unfinished Ethics to rescue religion from politics (and possibly vice versa).

Have a look, and also see The Antithesis of Science, which argues that the opposite of science is not religion, but politics.

I take offense at those on the right and left who, relentlessly politicize everything in their compulsive search for advantage and power. It must be another US presidential election year.

01 November 2007

Paul W. Tibbets

Brigadier General Paul Tibbets, USAF (ret.), has died at the age of 92. He is best known for being the pilot of the airplane that dropped the atomic bomb on Hiroshima, Japan on August 6, 1945, killing 140,000 people.

It's the kind of thing one goes to Hell for.

But then, if he had refused to drop the bomb, and had somehow prevented the bomb from ever being dropped, many hundreds of thousands of Japanese civilians would have died resisting the coming US invasion of Japan. Japanese cultural sites and treasures would have been destroyed all over the island nation. And of course, several hundred thousand American and allied troops would have died during the invasion as well.

In other words, stopping the bombing would also have been the kind of thing one goes to Hell for.

On the other hand, if General Tibbets (then a Colonel) had merely walked away from the mission, and let someone else take it, he would have been cravenly trying to save the purity of his own soul, while accomplishing nothing, and letting someone else face God's judgment.

That, too, is the kind of thing one goes to Hell for. At least according to Dante, who placed such selfish fools in its first circle.

Every one of Tibbets' choices with regard to the mission threw him on God's mercy. For him, God's Forgiveness was not an option, but an absolute necessity.

Perhaps you feel that your situation is different, that no choice you have ever made or will ever make will place you in a position of needing Forgiveness. That you will always have a choice between good and evil, and that you will always choose the good. May you be so lucky. May you be so blessed. You will be among the saints.

May God have mercy on you, Paul Tibbets. The same mercy I pray God shows to me when I am called to account for my life.

18 March 2006

Corrupting The Nation's Youth

Letter Submitted to The Nation
Re: Princeton Tilts Right

I was delighted to see that my college friend, Robby George, is doing well enough to attract the attention of The Nation. Though Robby and I disagree on abortion and homosexuality, I have always had the impression that Robby's civility was not a tactic to disarm his critics. Rather, I think he believes that civility and civil discourse are more important to preserving our democracy than winning a particular argument.

This point may be lost on Max Blumenthal, who characterizes George's Madison Program as an attack to which Princeton University has capitulated. It is more likely that Princeton is becoming tolerant of yet another form of diversity - that of opinion.

Rather than seeing Robby as Princeton's token conservative, Mr. Blumenthal characterizes him as a corruptor of the nation's youth. If Blumenthal were an ancient city-state, I imagine he would call for Robby George to drink hemlock.

04 August 2005

Hiroshima Remembered

This Saturday will be the 60th anniversary of the atomic bombing of Hiroshima, Japan, by the United States of America. Given the state of education in the US and the wider world, one wonders how many people realize that the attack was not unprovoked - that the attack was part of a tactic to avoid a massive invasion of the Japan and the horrendous casualties such an invasion would have cost to both to the US and Allied Forces, as well as to the Japanese military and civilian population. That the attack ended World War II. That the Empire of Japan had invaded and butchered its neighbors, and had executed a devastating pre-emptive air strike against the US Navy at Pearl Harbor 3 1/2 years earlier, in order to prevent tue US from interfering with its war in the Pacific. That Japan was so prepared to fight to the finish that it took two atomic bombings to convince their leadership to give up. That anything less that Unconditional Surrender would have been immoral, after what Japan had done to its neighbors, because anything less than unconditional surrender would have failed to dismantle the leadership that made that war.

And now, with hindsight, one wonders whether an invasion followed by an occupation would have led to an insurgency. Perhaps the atomic bombing led the Japanese to believe that if they tried an insurgency, the occupiers would simply have withdrawn and resumed atomic bombing.

Still, there is the realization on the part of those who developed the bombs, especially Leo Szilard, that had the US lost some subsequent major conflict, those who had much to do with the atomic bombing of Japan might have been tried for war crimes. See his short story, "My Trial as a War Criminal," in The Voice of the Dolphins, Stanford University Press, 1961.

That is to say, the atomic bombings of Hiroshima and, some days later, Nagasaki, were evil in both their intent and their effects. It's just that they were less evil than the alternatives. May their like not ever happen again to any people.

23 June 2005

Intellectual Warfare: Mathematics is Culturally Relative

Diane Ravitch has an editorial in the Wall Street Journal (June 20, p A14) entitled "Ethnomathematics." She specifically cites a new college textbook for Education majors, Rethinking Mathematics: Teaching Social Justice by the Numbers which as she puts it "shows how problem solving, ethnomathematics and political action can be merged." Ethnomathematics is based on the principle that students will learn better if they are taught math in the way it was developed by their ancestral culture. [Does this mean that students of mixed ethnicity must do each lesson more than once? Must Italian kids use Roman Numerals to do long division?]

First let me say that pure mathematics is a language, which if you stick to its grammatical rules, guarantees that the statements you generate are true. You can generate falsehoods by making mistakes in the application of mathematics to real world problems, but that is applied mathematics. Pure mathematics guarantees truth because it only talks about itself.

In that respect, it is a closed system, whose structure is independent of the cultural and historical processes by which it was discovered. In other words, contrary to some multiculturalists, mathematics is not the property of Western Civilization, nor is it linked with the values of oppressors. It simply is. Whether you like it or not.

Pure mathematics serves only one cause: Truth. That is to say, mathematics is the only opportunity that humans have to encounter Absolute Truth by means of unaided reason. Mathematical statements are true, because, within the confines of mathematics, you can prove them to be true. There is a corollary to this: the only reason to do mathematics is to get the right answer!

As such, I think mathematics has a positive moral value: One can experience the limits of human will and knowledge by encountering and exploring mathematics. But those who relentlessly politicize everything including mathematics, don't want to encounter limits to their will. Ultimately they are attempting to demolish the chief obstacle to their will by deconstructing the concept of Absolute Truth itself.

I have a question for such people. When Truth is overthrown, and all is relative, what limits will you respect when you are in power, and to what will you appeal when you are out of power?

Keep mathematics pure and simple, and emphasize that in mathematics at least, there is right and wrong. Teach ways to achieve social justice in Civics class, please. And in that forum, teach ways in which social justice advocates have depended on mathematical truth. Because seeking Justice without regard for Truth leads to Tyranny.

10 June 2005

Psychological Warfare II: God and Country are not Values

I have been told of a book on methods of psychotherapy in which the subject of values was discussed at length. Here is the list of Values Domains from the book:


  1. Primary love relationship

  2. Children/family

  3. Friendships

  4. Work/career

  5. Community

  6. Personal growth/development

  7. Environment/planet

  8. Play/recreation



Now, no such list can include everything, but one can quibble about whether it includes the most important things. The things that make us who we are. One wonders how the values of, say, Pat Tillman might fit into this scheme.

Apparently the authors consider religion and spirituality to be subsumed under personal growth and development. As if spirituality were an option like reading a book, or learning to play piano.

I have learned from VCBC's Forum thread on "God = Nature" that putting Spirituality under Personal Growth may be misleading. Maybe it should go under Environment. Or maybe, it should replace Environment, so that psychotherapists could explore their own feelings about the absence of one of their core value domains. Because for many people the Environment is the transcendent value that they substitute for the spirituality that they have rejected, or of which they are simply ignorant.

Ah, but what about "Country?" Perhaps that could be included under Community, but Community is usually understood to be one's neighborhood, or maybe one's town. Maybe it also includes one's voluntary associations. I think "Country" was left out because many psychologists think that nationalism of any kind is a negative value. Nationalism and religion just cause wars. Never mind that the Enlightenment that spawned the liberal democracies that defend individual rights with national power originally sprang from Protestant Christianity.

I wonder how they would handle a client with the Pat Tillman's values. I suppose they would struggle with counter-transferrence issues of antipathy toward religion and nationalism, and try to cure the client of both.

Imagine that. Values for psychotherapists with no room for God or Country. All I can say is that if your Boy Scout or Girl Scout has behavioral problems, choose his or her therapist very carefully.

24 March 2005

Another Good Friday for a Protest

Tomorrow morning at around 6:45 the usual crowd of protesters plans to gather at a staging area to block traffic going into the laboratory where I work. It's a defense research lab, where among other things, scientists develop and maintain the knowledge necessary to maintain America's stockpile of nuclear weapons.

The protest is an annual Good Friday event. Head out West, do a little protesting, visit the kids. What they protest boils down to this: those of us who work at the Lab crucify Christ in a manner that is different from the way the protesters crucify Christ. They think they object to our content, but, given that they are as human as we are, I think its really just a matter of style. The world understands the dynamic of Crucifixion all too well, and admits that it does all too rarely.

What the world does not understand well is the dynamic of Resurrection. The real question those of us who are Christian should ask ourselves is "What are we doing with our lives if we really believe in the Resurrection?" The Resurrection changed the lives of the first Christians, and they changed history. Is the Resurrection changing our lives? Or are we living on autopilot, contributing to humanity's bad news instead of proclaiming and living out the Good News?

I can ignore a Good Friday protest. But a protest on the Tuesday after Easter, our first day back to work at the Lab after celebrating the Resurrection, well, that would get my attention.

05 March 2005

A Duty to Remember

My mother told me that many Germans are comparing President Bush to Hitler. Sure enough, some are.

Now before I say what I must say next, let me point out that I speak German, and I am married to a German-American. Further, I think that Germany's embrace of the Nazis came from a quality of soul that exists in every human being and every human organization. But the Germans, alone in Western Civilization, gave in to it en masse.

Apparently, some Germans have studiously forgotten what Hitler was like, and what National Socialism (Nazism) really was. In this they commit a new moral outrage. Because, for themselves and for all humankind, it is their duty to remember.

16 June 2003

The Root Causes of War

Once again, I heard a radio commentator speak of "the root causes of war: poverty and oppression." I beg to differ. It makes more sense to say that the root causes of war are wealth and freedom.

Consider that there was only one culture on earth that had no word for, and indeed no concept of, war. That was the Aleut (Eskimo) culture prior to first contact with the outside world. The reason for this was economic. In that culture, if a group of guys got together, they immediately organized a hunting party or starved to death. There was never enough surplus to support large-scale group violence.

In every other culture, there have been enough resources for groups of guys to fight each other, without having to spend all their time trying to feed themselves. Hence, war is a phenomenon of wealth, or at least of something other than crushing poverty.

By the same token, war can be said to be caused by freedom. When Marshal Tito (backed by the Soviet Union) ruled Yugoslavia, his police state apparatus kept its boot on the necks of the Serbs and Croats so that they couldn't fight each other. Only after Tito died and the Soviet Union collapsed, did people have enough freedom to rabble-rouse, obtain weapons, and begin the recent civil war. (Sort of like India's present Bal Thackeray whose party orchestrates anti-Muslim violence in India to gain power at the ballot box.)

It is, of course, wicked to advocate forcing all humanity to endure starvation under a world-wide police state in order to eliminate war. Such a situation might be characterized by an absence of war, but it would not be peace.

Nevertheless, we can still salvage a useful idea here. The individual states comprising the United States do not fight each other, because the monopoly of violence is given to a higher power — the Federal Government. The individual states have given up their freedom to attack each other as well as their sovereign right to defend themselves. And this sacrifice is not just a paper committment: they have also given up the ability: states have no standing armies of their own. The National Guard may take orders from a state Governor, but not if the President of the United States commands otherwise.

In other words, world peace requires world government. Now, given that most of the world thinks the way to wealth is to take it from the United States rather than to generate their own, how soon do you think that will come to pass?

Moreover, peace requires a committment to deter, detain, and in some cases simply kill those would be warlords who bring disorder into failed and failing societies (because they want power and/or wealth, and see warlordism as the quickest way to get them). World government would not have the discernment to know when to act or against whom. Consider that Libya is on the UN Human Rights Commission, and that the United States may soon be removed. Consider that the UN took no action against Pol Pot in Kampuchea, or against the murderers in Rwanda. If the measure of effectiveness at securing world peace is body count, then it really is fair to call the UN an incompetent debating society.

So where does this leave us? Are we, after 2400 years of philosophical debate, back at "might makes right?" After all, what we call "Shock and Awe," the Germans once called "Blitzkrieg." With the US response to the 9/11 attacks in Afganistan, Iraq, some "law enforcement assistance" in Saudi Arabia and other Middle Eastern countries, and who knows what sort of action in regard to North Korea, we are witnessing what future historians may call, "The American Rampage."

On the other hand, the United States went along with the European powers who set up autocratic and semi-autocratic states throughout the world as the most convenient way to protect their economic interests in the colonial and post-colonial periods.
These states are now either transitioning to some form of democracy (perhaps not based on the New England township as de Toqueville described American democracy, but some form nevertheless) or they are becoming the so-called "failed" states that get taken over by warlords who can become international terrorists. Perhaps the United States is correct in (at least partially) abandoning its policy of assenting to what some writers call "autocracy lite" in Europe's former colonies, which assent was implicitly racist, historically unjust and ultimately counterproductive.

Perhaps, in order for the world to regain anything like a "moral compass" in international relations the world should look to the stated principles on which the United States was founded. To quote from the US Declaration of Independence:

When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.—That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, —That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness.


Herein we find grounds for the United States' effective redefinition of sovereignty — those governments are sovereign which derive their just powers from the consent of the governed. Those which don't are not entitled to have their claims to sovereignty respected. Those governments which cannot be regularly and nonviolently changed by the people they govern, are subject to violent overthrow from without, if they do not respect the most basic rights of their people and the peace of their neighbors.

In 1787, America was the only constitutional Republic in the world. By 1990, according to Francis Fukuyama's count there were 61. With the collapse of the Soviet Empire, there are even more now. After 216 years, the American Revolution is starting to catch on. Maybe it's time to give it a little help. Because the root causes of war are all traceable to governments that do not respond to, respect, and value people — their own or any other.

11 March 2003

Making a Killing

"This briefing is unclassified, but it does contain graphic violence," warned the speaker. Lights dimmed, and the screen showed what looked like an SUV driving down a country road, viewed from above. A fireball exploded in front of the SUV, blowing its front tires. The six men who bolted from it sprinted at world-record pace back down the road they had just driven, not stopping until they reached a vehicle that had been following them at a discreet distance. From their arm movements, they seemed to be warning the occupants of the second vehicle that there were landmines in the road ahead. But there were no landmines. Another cluster of fireballs engulfed the men and the second vehicle.

The audience snickered, encouraged by the briefer's enthusiasm for his subject. I felt myself smile, too. The dead men had been "illegal combatants" fighting in Afganistan for al-Qaeda, the terrorist organization that destroyed the World Trade Center and part of the Pentagon on September 11, 2001. They had been killed by an AC-130 gunship, flying at night so they couldn't see it, so high they couldn't hear it. The violence of their demise seemed cartoon-like through AC-130's black-and-white, night vision enhanced telescopic gun camera, but there was no doubt that the little dark lines flying out of the bright fireball were their body parts. There was also no doubt who they were — the conversation between the pilot, the gunner, and ground control indicated that they had been carefully identified and specifically targeted for what they had done, and were about to do again. It should also give you an idea of what will happen if the US and its allies go to war in Iraq — there will be no "carpet bombing," but Saddam's army won't be able to move.

Still, someone's brothers, husbands, and sons had just been blown to bits. The smile left my face. I had been tempted into enjoying the deaths of men. Again.

What we had watched was a "hit" carried out by a joint operation of the US Air Force and (most likely) US Special Forces operating on the ground in enemy-controlled territory. The idea was to inflict maximum damage with minimal loss of US personnel in a situation where the US personnel were outnumbered, and our allies out-gunned. Attempting to capture rather than kill the enemy would only have gotten our people and our allies killed.

Of course, there is the option of non-pursuit. We could have just let them continue down the road. So that they could kill more of us. Of anyone who seriously advocates that notion I have a request — pick someone like me who thinks you are personally enabling terrorism and become a human shield for him or her 24/7 until all the terrorists go away.

Or maybe we could negotiate with their leaders — Usama bin Laden and company. Here is their opening position. They want you dead. Period. Now, you bargain with them, if you can find them.

But there is another aspect to the aerial gunship attack that I must mention before I close. If it were to have occurred over the US instead of Afganistan, we ourselves would have been as terrorized by the air-strike as we are by the terrorists. Which means that it sets about the right tone. The terrorists use "asymmetric means" to bypass our defenses — so we use our own form of "asymmetric means" to bypass theirs. They slaughter indiscriminately, yet they wind up being killed by precisely, personally targeted bolts from the sky, with each shot planned to get them to react the way their killers want them to, in order to minimize the expenditure of ordnance in achieving the objective. This is precisely why we use war as a paradigm for US (and when it stands with us, the world's) actions against terrorists. If we restricted ourselves only to the law enforcement paradigm, the means described above would be unavailable to us, because it would be illegal, which would give the terrorists the advantage. They know how to beat the law enforcement paradigm.

In sum, I'm afraid the evil action I saw on the film was the best we could do. I am not proud of my initial reaction to it, but neither am I ashamed. Rather, I think that our enemies should realize that they can stimulate even nice, introspective, anti-capital punishment types like me to say "yes" to graphic violence against them.

Maybe our enemies should consider negotiating with us. Once they stop fighting us, we can be quite reasonable. Just ask the Germans, or the Japanese, or even (if you count the Cold War) the Russians.

Still, if anyone can offer a more Godly suggestion, something realistic that would so amaze the hearts and minds of the terrorists and their supporters that they would forgive us our trespasses against them (both real and imagined) and let us live in peace, I would love to hear about it. The whole world is waiting.

02 February 2003

Farewell, Columbia

The Second Space Shuttle Tragedy

Spontaneous Columbia memorial, courtesy of NASA
Yesterday morning, I was making pancakes while my wife went into the "Dog Room" to do a little yoga. She caught a bit of broadcasting as she put her DVD into the player. "I think you'll want to see this," she said.

On the television screen was an image of clear blue sky with a cluster of white streaks. It was the Space Shuttle. "Oh, shit," I said. "It broke up. They're dead." I had seen something like it seventeen years ago, when the Space Shuttle Challenger exploded during its ascent.

Once the investigation was over, I put the blame for Challenger where the facts pointed, on managerial arrogance at Morton Thiokol and NASA. This time, it appears to be a different form of managerial incompetence, one more deeply ingrained in the human condition, expressed in the bromide, "When you're up to your ass in alligators, it's hard to remember that your original objective was to drain the swamp." Under the pressure of dealing with day-to-day difficulties, things that are not critical to be solved this very day — things that can wait because they've waited until now — wait indefinitely. All of us who manage must let things slide in order to keep up with the stuff we know is critical. In this case, the list of safety upgrades to Shuttle technology may have slid too long. Time and investigation will tell.

I say these things, not to start a hunt for scapegoats — there are likely to be none this time — but to direct the attention of my fellow believers in the Abrahamic religions (Judaism, Christianity, and Islam) to look to the Human Condition, rather than to Divine Judgement. In particular, I think of the Iraqi official who claimed that the accident was God's Judgement against Israel and the United States. By that same logic, one could attribute the decline of the Arab Islamic world with respect to the West since 1400 (as described by Bernard Lewis in his book What Went Wrong) to God's Judgement against Muslims. As I assume the official in question would hesitate to do that, I consider that he should hesitate to declare God's Judgement concerning the Columbia.

But now we must turn to the human cost paid by the Columbia's crew — Rick Husband, William McCool, Michael Anderson, Kalpana Chawla, David M. Brown, Laurel Blair Salton Clark, and Ilan Roman — and their families and friends. Their loss is the incalculable loss of seven worlds that might have been. Worlds that they all very much wanted. May God comfort the survivors according to their needs, and bring them in time to experience healing of their grief.

This human cost is also felt by the whole People of the United States, and by the peoples of India and Israel. The media will ask, is manned space flight worth the risk? Is it worth the money? Let me start with the second to answer the first.

Manned space flight has not been economically worthwhile since it began, and will not be economically worthwhile for the foreseeable future. We are not in it for the money.

Manned space flight has never yielded any scientific knowledge that could not have been gained by unmanned flight (other than the response of the human body to long-term weightlessness), nor is it likely to do so for a very long time. We are not in it for the science.

What manned space flight has yielded, is astonishing advances in engineering and engineering management — the twin arts/sciences/diciplines/practices of making and using things that work. But we are not in it for the engineering. We aren't in it even for the prestige — its no longer new enough to astonish the world with each marginal advance.

We are in manned space flight for just one thing — the adventure. If we turn away from that adventure, we turn away from a future as grand as the Universe to a smaller destiny sandwiched between the top of the atmosphere and the bottom of the sea. Never mind that we will tie the fate of humanity to the fate of one small, vulnerable planet — I'm thinking much shorter term than that.
If we turn away from manned space flight we will diminish our culture here and now. We will slip from a culture of boundless optimism to a culture of limits. We will achieve less, because we will attempt less. We will begin to stagnate. What the astronauts bought for us with their courage was Hope in this world.

Manned space flight is not worth doing in itself. It is worth doing because it helps make all the other things worth doing. Let us honor the courage, the drive, the spirit, and the sacrifice of Columbia's crew by doing what they would have us do — let us continue.

And some day, we will find a way up from earth's gravity well, and a way to fly through space, that will take us to the stars.

Editor's Note: The discipline required to do complex and dangerous things safely is practiced by High Reliability Organizations. NASA appears not to be one of them.

06 November 2000

Under the Ban

Abortion before Roe v. Wade

I remember the way it was before Roe v. Wade.

One of my college classmates, call him Steve, had a girlfriend we'll call Lori, who went to another school. Despite their passion, they took their responsibility seriously, and used birth control every time. But she still got pregnant.

There was no question of having the baby. They were at critical junctures of their lives, in which continuing their educations was a make-or-break endeavor to escape poverty. They could not stay in college without help from their families, who would have insisted that they drop out and get married.
Instead, Steve managed to raise some money, and they flew secretly to a nearby state where Lori could get an abortion. They returned the same day, to make it look like a long, but ordinary date. The abortion was legal and safe, except for their rushing in, having the procedure, and rushing out to catch the plane. At the clinic, Lori was fine. On the plane, she hemorrhaged.

She bled for days. She felt weak, and hid her paleness with make-up. She knew she needed medical help, but she waited, hoping to keep her secret. By the Grace of God, the bleeding finally stopped.
Steve felt guilty for risking Lori's life, and for killing the life that would have been their child. He tried to believe in reincarnation — that somehow, the kid would get another chance. Not long after that, his relationship with Lori died, too. They haven't communicated in almost 30 years.

There is a lesson in this for both those pro-choice and pro-life. For the pro-choice it is this: According to the founding documents of our republic, we are endowed with rights by our Creator, including the right to life. To any thinking person of faith, it is blasphemy to assert that our Creator gives us the right to kill the lives that would otherwise become our children. Abortion is not a right — it's a wrong. It may be a need, given the state of human nature. As long as we guarantee access to abortion, it is a freedom. But it's still wrong. The pro-choice cause is hurt by pretending otherwise.

For the pro-life the lesson is this: Given the tragic state of human nature, good people — people more moral than most — are going to get abortions, with or without Roe v. Wade. It's just that without it, more middle-class girls will become injured or dead, more poor girls will become mothers, and more unwanted children will be neglected and abused. I know a conservative Christian who became pro-choice after working with abused children who had been made wards of the court.

Both sides need to admit that human nature is such that we knowingly do wrong, we deny that we know it, and we develop wrong-headed solutions to stop ourselves. Defending a woman's freedom to choose abortion will no more make you a good person than denying her that freedom. We cannot by our own efforts perfect ourselves — all attempts by societies to do so have ended horrendously, from gas chambers of National Socialism, to the Cambodian killing fields — and you know it.

I hope that bit of rhetoric pissed you off. You pro-choice and pro-life people out there might just drop your attacks on each other for a moment, and for the love of God, listen to each other. Give the other side its due when it tells the truth. Consider what reasonable limits we might place on the freedom to choose abortion — because all freedoms must have limits. Stop playing a single-issue politics that gives us is a corrupted judiciary and a demeaned public discourse. We ask our politicians, "Are you pro-choice or pro-life," when we should ask, "What is Justice?" and "How do you plan to lead us closer to achieving it?"

The freedom to choose abortion is the freedom to kill while you can still convince yourself that you're not killing your child. It's a freedom the majority of us grant to increase your odds (or your partner's odds) of surviving what some of you would probably do anyway. It is our way of helping our prodigal sons and daughters survive to return someday. But preserving the freedom to choose abortion is evil, and it is doubly evil to assert otherwise. It's just that letting girls like Lori die would be evil, too.

And for those who have had abortions, there is Forgiveness. It's free for anyone who knows they need it.

Thoughts on Peacemaking

The Necessity of Non-Violence

contributed by Robert Franklin

But my hand was made strong
By the hand of the almighty
We forward in this generation
Triumphantly
All I ever had, is songs of freedom
Won't you help to sing, these songs of freedom
Cause all I ever had, redemption songs
Redemption songs
Emancipate yourselves from mental slavery
None but ourselves can free our minds
Have no fear for atomic energy
Cause none of them can stop the time
How long shall they kill our prophets
While we stand aside and look
Some say it's just a part of it
We've got to fulfill the book
Won't you help to sing, these songs of freedom
Cause all I ever had, redemption songs
Redemption songs, redemption songs"
- Bob Marley, Redemption Song
Somewhere between starting a new book for an anthropology class and Goodbye Earl by the Dixie Chicks, I was struck by the powerful feeling that violence is inescapable. The book I was reading is entitled: We Wish to Inform You That Tomorrow We Will be Killed with Our Families: Stories from Rwanda by Philip Gourevitch (Piccador, 1998). Striking as the title seems, what struck me more was the following paragraph:
"We went on through the first room and out the far side. There was another room and another and another and another. They were full of bodies, and more bodies were scattered in the grass, and they were stray skulls in the grass, which was thick and wonderfully green. Standing outside, I heard a crunch. The old Canadian colonel stumbled in front of me, and I saw, though he did not notice, that his foot had rolled on a skull and broken it. For the first time at Nyarubuye my feelings focused, and what I felt was a small but keen anger at this man. Then I heard another crunch, and felt a vibration underfoot. I had stepped on one, too." (p.20)
Gourevich describes the aftermath of a massacre, one of many in a planned genocide perpetrated by the Hutus against the Tutsis in Rwanda. Upon flying into this village in Rwanda, Gourevitch is exposed to the aftermath of death — of murder, of brutality, of ... the product of human action.
Initially I wasn't sure why the paragraph I quoted struck me, why it got me thinking. Then it hit me - Gourevich unconsciously stepped on a human skull too. He had become angry with the Canadian colonel for accidentally desiccated a kind of sacred space, a grotesque and macabre combination of graveyard and slaughterhouse. Then, Gourevich found himself committing the same transgression - desecrating the remains of the dead.

Twenty-seven pages into We Wish to Inform You That Tomorrow We Will be Killed with Our Families, I had to put it down and stop for a while since it had become too hard for me to read. It made me feel sick to my stomach. Why? The incident in Rwanda is nonunique. By now, with our history, you'd think I would be fairly nonplused by massacres. After all, how many have there been in the twentieth century alone? How much exposure have we, as a culture, and as individuals, had to this kind of violence? For starters, there was the Holocaust during World War II.

Art Spiegelman brings Auschwitz tortures to life in Maus:
"But after a few weeks I got too sick even to eat ... Typhus! I got very hot fever and I couldn't sleep. Typhus! Every night people died of this. At night I had to go to the toilet down. It was always full, the whole corridor, with the dead people piled there. You couldn't go through... You had to go on their heads, and this was terrible, because it was so slippery, the skin, you thought you are falling, and this was every night. So now I had Typhus, and I had to go to the toilet down, and I said, 'Now it's my time. Now I will be lying like this ones and somebody will step on me!'"
If Spiegelman's account doesn't move you, there's always Eli Wiesel's Night or perhaps Speilberg's Schindler's List.

Yet it goes on. The Killing Fields of Asia. The Scorched Earth Campaign in El Salvador. But this is nothing new, considering our blood littered history. Cortés and the conquistadors. The Spanish Inquisition. The Crusades. Violence seems to be the brutal and inescapable reality.

Considering the intrinsic nature of violence in our world overwhelms me. In our culture, we constantly immerse ourselves in violence. We entertain ourselves with violence: Our movies - Full Metal Jacket, Braveheart, The Godfather, to name a few (I have intentionally listed movies I count among my favorites); Our television; And our high culture, even the Immortal Bard - are infused with violence. One of my favorite works of western literature, Hamlet, has, at it's base, an act of violence. Even our children's toys. Thinking about it, almost all of my toys as a boy involved violence in some way shape or form, from the obvious G.I. Joe to my Legos. Even chess is, at the most basic level, a war game.

At this point all the pop culture sermons about the inculturation of violence are knocking around inside of my head. And I've decided to ignore them. Let me explain.

I am a pacifist.

I have chosen to live my life without intentionally committing an act of violence against another human being. This however, becomes something of a pragmatic and philosophical problem for me. As an American who is physically ineligible for police and military service (necessary violence?) and who does not own a gun — the odds of me killing someone intentionally are pretty slim. Besides, if worse comes to worse, I have no qualms about turning tale and running. Yet it's relatively easy for me to commit an act of violence against someone unintentionally or indirectly. I can easily do physical or psychological harm to someone I've never met by buying clothing made in a sweat shop and thus perpetuating the exploitation of an oppressed group of fifteen year old girls. I can say something in jest that does psychological harm to someone around me. I can ignore the cry of someone for help and commit an indirect act of violence by allowing violence to happen.

It seems violence is inescapable. Unless I choose to make all my own cloths from material I wove myself, never say a wrong word, and run to the aid of anyone who might remotely stand the risk of being in physical danger, I can't escape violence. And if I managed to accomplish all of those things, I'd be a mute Martha Stewart meets Ghandi meets Superman. That's not something I would choose to be, though I wouldn't mind being a little more like Ghandi.

I am therefore left with the inescapable, so what now?

Micah 6:8 says, "He has told you, O mortal, what is good; and what does the Lord require of you but to do justice, and to love kindness, and to walk humbly with your God?"

As with most things scriptural, the interpretation of this passage is up for grabs. I feel comfortable in saying four people I hold in the highest regard, all Saints in their own right, would each say something different about the passage. Roman Catholic Arch-Bishop Oscar Romero demonstrated his as he turned against the oppressive structure he had his origins in, and eventually was martyred for his (our) cause. Episcopal Arch-Bishop Desmond Tutu demanded justice on a global level for his (our) people. Mother Theresa lived her interpretation in the streets of Calcutta. St. Benedict had an intense personal understanding of humility.

I have chosen those four because each represents a different aspect of Micah 6:8 for me. Archbishop Romero and Archbishop Tutu demonstrated what it was to do justice. I chose them because they did not exhibit justice as most Americans today think of it. Their justice was not one in which individuals received due punishment or reward for their actions. On the most basic level, if we all got what we really deserved, based on our individual sins, we'd be in a lot of trouble. Romero and Tutu had a concept of peace making justice. Instead of demanding the blood of those who oppressed them, they demanded compassion and equity for everyone. Most importantly, they put themselves on the line for justice. Tutu marched countless times in protests and spoke out directly and clearly against the oppressive power of Apartheid. Romero celebrated the Eucharist with peasants after being stripped and humiliated by soldiers and was eventually martyred for his pursuit of justice.

Mother Theresa understood, on a level much deeper than I ever may, what it was to love kindness. She gave intense and personal care to the sick and dying that no one else would touch. If picking up a disease infested, maggot ridden, starving, smelly, dying beggar out of shit strewn sewers doesn't show what it means to love kindness, nothing does.

Benedict knew what humility meant. The first word of his Rule is "Listen." The Rule of Benedict teaches us to listen to others, and to defer to others without letting go of who we are and our own needs. We are taught balance and inner peace. These are the things we need for humility.

Yet these are not the only valid interpretations of Micah 6:8. Each of us must come to terms with our own world views. Each individual must come to terms with what being human means. Each of us must come to terms with what it means to cope with violence in our world.

I offer a few caveats though. It is not possible to shut ourselves off from the world. Just because something involves violence does not mean it looses its value. Exempla gratia, the movies I listed earlier. They all have tremendous value as cinema and art. As for Hamlet, anybody who tries to convince me that because it involves violence it has no value might as well take up arguing with brick walls. Violence is indeed a part of our culture, yet we are indeed called to do justice, love kindness, and to walk humbly with our God.

Sometimes, violence is inescapable for the oppressed. What options do the victims of a genocide campaign have but to try to defend themselves lest their race be wiped off the face of the earth? Can we say, in all fairness, that the Hitler should have been fought with only non-violent means?
Realistically, there is no way we will ever be rid of violence as long as humans run the world. Does pacifism then become an exercise in futility?

Not in the least.

Pacifism and peacemaking are no more futile in the dealing with violence than medicine is in fighting disease and death. Everyone will inevitably get sick and die. This does not make medicine useless or invaluable. Medical science keeps us healthy and improves our quality of life, it helps to advance us and to preserve us. Medicine makes whole what was broken. Peacemaking and pacifism do no less.

Those that choose to respond to violence with peace, with justice, mercy, kindness, and listening, are the brokers of healing in a world ridden with violence. When somebody has lost everything - family, home, land, worldly possessions, faith, and identity, the only thing left is a story that nobody can take away. A little over a year ago I got to spend a considerable amount of time with six massacre survivors from El Salvador. These folks experienced a whole sale exodus from their home to another country, across the mountains and back again. What they had to give were their stories. And the telling of these stories was a healing experience for them. The act of telling the story is an act of peacemaking.

Peacemakers are the recipients and the tellers of these stories. Yet to receive a story is not the end. There is a call to act on the story. Ask Desmond, Oscar, or Theresa.

It is painfully clear that peace does not immediately come from these stories; look to Northern Ireland. But they give us a starting point. Once we come to grips with the stories, we have a road map of sorts to follow. We know where the injury is and where the healing begins.

Gourevitch and Speigleman gave us stories. This is the way peace is made, by the telling of stories and by listening. How does this solve my pacifist dilemma? I accept that violence is a part of my world and de facto a part of my life. I choose to not directly perpetrate violence against others. I choose to avoid perpetrating indirect violence against others when it is in my power to do so. I choose to listen. I choose to act on what I hear. I choose to share what I hear with the masses, speaking truth to power. I choose to do justice, love kindness, and to walk humbly with my God.

Pax domini semper tecum sit.

05 November 2000

The Best and Most Useful Lie Ever Told

The Reality and Unreality of Calculus
We're going to make the lie true. - Maggie in Tennesee Williams, Cat on a Hot Tin Roof, 1955

At a web site devoted in large part to the ethics of honesty over and against the ethics of moral purity, it is only fair to acknowledge the limits of honesty itself. After all, complete honesty requires complete self-insight, which none of us has unless it is a gift of God. Besides, sometimes something less than honesty can have great practical value, especially in applied mathematics.

Now mathematics itself can't lie, because it is its own context. It is a language that, if you follow its grammatical rules, guarantees truth, because it only talks about itself. The lie comes in the misapplication of mathematics to real-world situations. Or as Disraeli once said, "There are lies, damned lies, and statistics." But let's skip statistics and get right to the root of it all - calculus, the subject I think every college freshman should study.1

Calculus, especially differential calculus, is used to model almost all the physics we know. This modeling is based on the idea that we can evaluate a function of position and time at points that are arbitrarily close to each other. Suppose for example that we do not know the value of a function at point B, but we do in the region around B. We simply keep picking points A closer and closer to point B, and note the trend in the value of the function we're interested in. This is called taking the limit of our function as point A approaches point B.

To be concrete about this, suppose you wrote down the times you passed certain distance markers as you drove down the highway. For our function we could take the distance between any two markers (in miles or kilometers) and divide by the time (in hours) it took you to drive between the markers, giving your speed in either miles or kilometers per hour. That would give us your average speed between the markers. To get your instantaneous speed, we would have to measure your position at two points infinitesmally close together and divide by the infinitesmally small time interval it took you to go between them. While this may present a problem for actual measurement, it's no problem for mathematics.

Now, as long as we have gone this far, we could take the difference between your instantaneous speeds at two infinitesmally close points along the road, divide by the infinitesmally small time interval it took you to pass from one to the other and get your instantaneous acceleration - the instantaneous change in your instantaneous speed (in miles or kilometers per hour per hour). It is this instantaneous acceleration that Newton was referring to when he wrote "F=ma," or "force equals mass times acceleration," the equation upon which all our physics, directly or indirectly, is based.

The problem is that these limits as one point gets infinitesmally close to another don't really exist. The existence of such a limit presupposes that space and time have no gaps - that they are continuous - which means that you can go smoothly from point A to point B without encountering any holes in the "fabric" of space and time. In fact, the requirements are more stringent: also disallowed are creases, kinks, knots, edges, passageways like the holes in a sponge, etc. For the notion of limits (on which calculus depends) to be valid, the ride from A to B must be much smoother that it possibly can be.

Of course, you don't notice rough spots in space and time while driving your car or walking down the street, because they are quite small, much smaller than an atomic nucleus, or even a sub-atomic particle. But we suspect they're there, because of the probable existence of quantum gravitational zero-point oscillations, the so-called "spacetime foam" mentioned in a previous essay.2 Such a foam may seem smooth to say, a sub-atomic particle, but would be far too rough for calculus to be valid all the way down to infinitesmally small scales.

Another reason I suspect the calculus of being invalid is macroscopic, the so-called Einstein-Poldosky-Rosen paradox,3 which begins like this. Suppose you had a sub-atomic particle that had no intrinsic angular momentum, or spin. Further suppose the particle decays into two more "daughter" particles, each of the same mass, that move apart because of the energy released by the decay. Conservation of linear momentum guarantees that the particles move in opposite directions at equal speeds. And conservation of angular momentum guarantees that each particle would spin in the direction opposite that of the other, so that the two spins would cancel each other out if the particles could be brought back together.

Now, according to our understanding of quantum mechanics, the axis about which the daughter particles spin does not come into existence until a measurement of the spin is made. (This is also a statement about the isotropy of the universe - since space is the same in all directions, there is no preferred axis about which the particles will spin.) The spin of the particle is a potential quantity, which gets made actual by the act of measurement.

And here is the paradox: The other particle, whose axis of spin is also undetermined, instantaneously assumes an equal and opposite spin about the same axis as the first particle measured, regardless of how far away the measurement was made. This appears to violate the principle of Special Relativity that no signal can travel faster than the speed of light.

The paradox is resolved by claiming that neither of the particles by itself forms a complete quantum mechanical system. The system is non-local, which means that until the measurement is made, the two particles are actually one quantum mechanical object. After the measurement, they are each a separate and complete system.

This non-locality is a nice bit of philosophical reasoning, and it's well supported by theory (the work of John S. Bell, among others) and experiment (particularly those of Alain Aspect and co-workers). But in order to make quantum mechanics conform rigorously to Special Relativity I think we need to go further.

In particular, a principal (albeit largely esthetic) tenet of the so-called "Einstein Programme" for theoretical physics is that all physics is local physics, and that all interactions are local interactions. This "locality principle" implies that there must be some sense in which the distance between the two particles in the "non-local" state is actually zero. Allow me to leap from science into speculation.

The particles in the "non-local state" are clearly separated by some distance in three-dimensional space (actually four-dimensional space-time). Perhaps the non-local state of the particles itself creates a bridge between them in one or more other dimensions, which collapses when a measurement is made on either one of them. The total separation between them would then have to be reckoned according to a five- or higher-dimensional formula, which would give zero, even though the three-dimensional part that we're currently aware of is much greater than zero. Figure 1 below shows a cartoon image of this concept. 4

Figure 1. Diagram illustrating a speculative interpretation of the EPR thought experiment. When the spin of either particle of the pair is observed, the quantum mechanical state "collapses" and the higher-dimensional zero-length topological connection between them is broken. The curved "strip of paper" in the figure is meant to represent three-dimensional space. Time is represented by the tracks of the particles, positions since their emission from the parent-particle decay process.

The existence of such a bridge would mean that little higher-dimensional pathways spring up and disappear all the time in our universe, which brings us back to the calculus. The universe may be too swiss-cheesy with sub-microscopic higher-dimensional holes for the smoothness requirments of calculus to be met. In other words, the idea that calculus actually describes reality is a lie.

But it's a good one, because it's so very nearly true that we didn't notice any problems with it for three hundred years. For the most part we still don't notice. We can calculate orbits that get people to the moon and back with calculus. We figured out electromagnetism with it, which gave us radios, televisions, computers, Walkmans, and so much more. And I guarantee that a more accurate theory will be much harder (if not impossible) to use for solving the problems for which calculus works well.

In conclusion, I can say that our mathematics is not so much a map of reality as a metaphor for it. Our current metaphor, the calculus, has such a grip on our imaginations that we physicists will do almost anything to save it, including inventing Supersymmetric String Theories.5 But for practical purposes thus far, calculus is extremely powerful and convenient. If it is ultimately a lie to describe physical reality with it, it is the best and most useful one ever told.



Notes

  1. See, Teach Your Children.
  2. See, Science and Faith.
  3. The most complete discussion I know of this "thought experiment" is in John S. Bell's Speakable and unspeakable in quantum mechanics, Cambridge University Press, 1987. Since most of the discussions are somewhat technical, I recommend you check it out of the library rather than buy it, unless you've already taken an undergraduate course in quantum mechanics.
  4. For the physicists in the readership, this means that I think that the "collapse of the wavefunction" may be linked to topology change for the case of non-local states. The dimensionality of the "bridge" is equal to the number of non-local quantum numbers describing the state. Janet B. Jones-Oliviera pointed out to me that this type of topology change is fundamentally irreversible. I wonder if any of this might imply altering current methods for calculating Feynman diagrams.
  5. String theories were invented because taking the limit as point A goes to point B causes certain physical quantities like the self-energy of a point-like particle to become infinite. Although there are mathematically well established ways to handle these infinities in most field theories, they don't work with gravity. Therefore the current rage in physics is to do away with the notion of point-like particles and to pretend that all fundamental particles are closed loops, or strings. This fixes the immediate problem of the infinities, but still hasn't yielded a practical theory. I think this is because the "foaminess" of spacetime at this level has yet to be addressed with a mathematics that has no "points" (or point-substitutes) at all unless some physics makes them happen. Actually, space-time may be "foamy" (multiply connected) even at the macroscopic level, if my speculation regarding the Einstein-Poldosky-Rosen thought experiment has any substance to it.