Showing posts with label space-time. Show all posts
Showing posts with label space-time. Show all posts

Thursday, December 18, 2014

Of Space-Time and Clock Towers

by Len Hart, the Existentialist Cowboy

Brian Greene is an American theoretical physicist and string theorist who has worked on mirror symmetry since 1996 while a professor at Columbia University. As a result, he believes that in “infinite” universes, matter can arrange itself in an infinite number of ways. Eventually, a “universe” is repeated. Such a parallel universe would look very much like the one we live in.

Therefore, Greene says, if the universe is infinitely large, it is also home to infinite parallel universes.
As a string theorist, he believes that apparent conflicts between current cosmology (Relativity theory) and quantum mechanics is resolved with string theory –his 'specialty' for the past 25 years. Greene believes that the entire universe is explained with small strings vibrating in as many as 11 dimensions. Moreover, within our single universe time is relative to where you are and how fast you are going at any given instant.

Therefore, time is always local even within the single universe we live in. For example, time is slower for anyone who is moving. As Einstein demonstrated, time stops for anyone traveling at light speed.

Einstein imagined a street car leaving the clock tower in Bern. As long as his speed was less than that of light, the clock viewed from the street car would appear to be moving forward, marking the 'forward' progress of time. But –should the street car exceed the speed of light, the hands of the clock would appear to go backward as the street car catches up with and passes light beams.

This effect can be simulated with an oscillator or an old 33 and a third RPM album turntable with a disc of concentric hash marks calibrated to appear stationary under florescent (pulsing) light. If the turntable is too slow, the hash marks will appear to rotate in one direction. If the rotation is too fast, the marks will appear to move in the opposite direction. At the desired turntable speed, the hashmarks will appear absolutely motionless. By the same token, time STOPS for one traveling at the speed of light.

The downside is that many other unfortunate things will happen to you at that speed. So –don't try this at home or without the supervision of experts. You are safe if you confine your experiments to an old 33 1/3 RPM turntable and some old Rolling Stone LPs.

A few years ago, Julian Barbour “shook up” readers of “Discover” magazine when he denied the existence of “time”. He may have been correct. In fact, he is consistent with Einstein. Einstein posits that time is merely one's local' movement relative to the speed of light. Young Einstein lived in Bern (Switzerland) where he worked at the patent office. He often took the tram home in a direction away from the famous Bern clock tower. He imagined how the clock might appear should his tram exceed light speed.

He immediately concluded that the hands on the clock tower would appear to move backward relative to the forward movement perceived by pedestrians on either side of the street. The explanation is simple: at faster than light travel, the tram overtakes light that had already left the tower. One looking back at the tower would see the hands run backward.

That, of course, is a dramatic example that drives home the point for anyone daring to imagine faster-than-light trams. The conclusion is simpler: time is different for every person occupying a different space from every other person. For that matter, time differs from every point to every other point in the universe.Barbour believes the past, present and future all exist in what may be called a timeless 'super-verse'. Barbour posits a series of “NOWS” like individual frames on a motion picture film strip. 'Nows' exist for actual events but, interestingly, many 'nows' are alternate possibilities, i.e, virtual universes.

This view is consistent with Einstein's analogy re: the Bern clock tower. To use Barbour's film strip analogy, NOW is a single frame. The universe is the entire film strip. Parallel universes may be compared to alternate "film strips", thus Barbour's views are consistent with Greene's "parallel" universes. If Barbour's timeless universe is akin to a film-strip, then Greene's parallel universes are a shelf full of film-strip canisters –each containing a feature-length film. In this case the feature-length movie is the universe as it unfolds. But as long as we travel at sub-light speeds, we move forward in time as "light" over-takes us. But if we should exceed light speed we will eventually see the big bang! In fact, we can see remnants of the big bang now. This "object", astronomers tell us, is some 13.7 billion years old and as many light-years distant.


Saturday, June 04, 2011

The Man Who Changed the Universe

by Len Hart, The Existentialist Cowboy

The year 1564 is noteworthy for several reasons. John Calvin and Michelangelo died. Shakespeare and Galileo Galilei were born.

It was Galileo, upon the shoulders of great Renaissance artists and Neo-Platonists who preceded him, who may have ignited the beginnings of the Scientific Revolution early in the 17th century. He demonstrated the extraordinary effectiveness of the experimental observation of nature and coupled that with the analytical power of mathematics.

The revolution is still underway, still challenging entrenched orthodoxies, fallacies, and medieval mindsets.
Galileo believed that nature was inherently mathematical, that mathematics was the language of nature, and that mathematics was the key to understanding the reality behind the appearance of natural phenomena--for example, accelerated and parabolic motions.
--Prof. Joseph W. Dauben, The Art of Renaissance Science: Galileo and Perspective
A Revolution in Thought

Galileo revolutionized physics before Newton. He showed how observation and careful measurement may lead to "hidden causes". For Galileo, those "hidden causes" represented the pervasive mathematical unity underlying the Universe itself. Einstein is most often associated with the concept of the curvature of space-time. But, in fact, Einstein might not have thought about it so clearly had not Galileo laid down a framework, a 'scientific method', within which both Newton and Einstein would later flourish.

Consider, for example, Galileo's contribution to our understanding of the curvature of space-time. To do so, we must understand the "parabola:"
Parabola, plane curve consisting of all points equidistant from a given fixed point (focus) and a given fixed line (directrix). It is the conic section cut by a plane parallel to one of the elements of the cone. The axis of a parabola is the line through the focus perpendicular to the directrix. The vertex is the point at which the axis intersects the curve. The latus rectum is the chord through the focus perpendicular to the axis. Examples of this curve are the path of a projectile and the shape of the cross section of a parallel beam reflector.
Before Galileo, a cannon ball was thought to either fall abruptly upon "losing impetus" or that it described "some sort" of curve. But no one knew what kind of curve or even if it was a curve. It was Galileo who understood that a projectile fired from a cannon is a falling body. Simply, a falling body describes a curve over time even those apparently falling straight down from a fixed point. This is so because the "fixed point" is merely theoretical. The entire universe and everything in it is in motion.

A Glimpse of Space-Time

Galileo's work --his measurements of the rate of acceleration of all falling bodies --that made it possible to imagine orbiting bodies literally "falling" about a larger one in predictable orbits --the moon around the earth, the earth around the sun, the sun about the center of our galaxy, the Milky Way. All orbits can be described and the results are consistent with Galileo's findings.

Fast forward to the 20th Century. Einstein equates gravity with the curvature of space-time, an insight that reprised in another context, another paradigm, Galileo's discovery that the paths of missiles and projectiles are curves, specifically, parabolas.

Einstein went cosmological, envisioning a falling elevator with a hole in the side admitting a beam of light. The graphed path of the traversing light beam --over the time it takes to traverse the falling elevator --is Galileo's parabola. Thus —in two monumentally important paradigm shifts —Galileo and Einstein —-we glimpse the very curvature of space-time itself.

Newton may have posited a "force" to explain "falling" but the equation describing the rate of falling bodies —a curve if graphed horizontally over time —is Galileo's. It was Einstein who understood that the same curvature may describe space-time and render moot Newton's "force", a force that literally reached out into space and acted upon another body instantaneously. For Einstein, gravity was not a force that 'reached out an grabbed ya'; it was, rather, the very shape of space-time. In a sense, Einstein, like Galileo before him, had 'changed' the universe.

Of Space, Time & Einstein

With this insight, the Universe is changed —seen in a completely different way. This is important in at least two ways:

  • it changes our understanding of the Universe hitherto thought of as a clockwork in absolute space;
  • it illustrates the very nature of creativity.
Both Galileo and Einstein were able to perceive previously unknown relationships in seemingly unrelated phenomena.

The Big TOE of Science

The current search for TOE (Theory of Everything) is a culmination of this turn of thought. And the verdict is still out on whether the Universe is "closed" and will ultimately implode, or whether it will simply go on expanding forever, perhaps swallowed up by infinite and empty space. But these areas of inquiry would have been forever closed had not Galileo and others opened the door.

Renaissance artists, Leonardo da Vinci in Italy and Albrecht Durer in the North, had evinced an interest in the realistic depiction of nature from the early 15th century on. Leonardo's notebooks, for example, are a revelatory fusion of intuitive and cognitive thinking. Da Vinci was especially skilled at analytical and verbal descriptions of natural events while depicting them "artistically" in detailed sketches, paintings, and analytical diagrams.

It is the path from Leonardo to Galileo that unites the burgeoning interests in science and art under an umbrella of shared values: humanism. It is here that free thought flourished in the very shadow of ignorance, superstition, and the Inquisition. Were it not for that, even now, we could not walk in the sunshine.