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2020-2021: CI

THE DAILY ASTRONOMER
Friday, March 26, 2021
Exploratorium XXXIII: Entangled Strings

Contrary to student opinion, science does not frown. It merely scrutinizes and its furrowed brow might be often mistaken for a frown. In science's defense, it might be austere, but it's not hostile. The scientific method merely demands that all conclusions be predicated on objective reasoning that, itself, is based on data and observation. Though this requirement might seem daunting, we can find simple examples all around us.

We theorize, for instance, that whenever we toss a rock off a cliff, it will fall to the ground with a certain acceleration. That theory is all very well, but science insists that we test it repeatedly. Such testing is easy enough. We have a pile of rocks and we throw each one off a cliff and observe the result. Each thrown rock falls to the ground and we measure its descent time. From this measurement we can calculate the acceleration. Sure enough, the acceleration is consistent for each rock. Unfortunately, we haven't yet established a law. We have merely subjected the theory to a series of trials that all confirmed it. Had one rock stopped in mid-air and started ascending, or if one rock had accelerated much faster than the others, we would have a contradiction to the theory. We'd have to search for other causes to explain this anomaly. If we couldn't find any reasons for the contradiction, we might have to modify our theory or abandon it all together.
Science is rigorous and unsentimental. Even if your idea is elegantly phrased and looks pretty when expressed as a triple integral, science will make short work of it if it doesn't stand up to examination.

This discussion of the scientific method brings us clumsily to "String Theory."
Admittedly, science does frown a bit at string theory. Dismissed by many scientists as gussied-up metaphysics, string theory strives to both explain the fundamental nature of matter as well as reconcile the disparate fields of quantum mechanics and the General Theory of Relativity. If you're now frowning too, please bear with us as we untangle these different threads.

We address the first aspect by finding a piece of chalk on the planetarium's blackboard ledge. We can choose this little item simply because the Universe includes chalkboard ledges as much as it includes distant galaxies and Saturn's rings. Within this chalk piece we find Calcium Carbonate, a compound of calcium, carbon and oxygen. Regard the chalk as occupying the macro-level. The next level down is molecular: a calcium carbonate molecule consists of one calcium atom, one carbon atom and three oxygen atoms. Below the molecular level is the atomic and then sub-atomic levels: a single calcium atom consists of twenty protons and twenty neutrons in the nucleus that is surrounded by twenty electrons. Even lower is the sub-sub-atomic level: each proton consists of a quark triplet. These quarks are bound by the strong nuclear force.

Does another level lurk below this one?
A string theorist would suggest that the quark level is based on one lower down: strings.




The simple idea is that fundamental matter consists of strings. Think analogously of these strings producing different vibrations. Each 'frequency' generates a different type of particle, such as a quark or electron,* in the same manner that certain string vibrations on instruments produce specific notes. The beauty of this theory, according to its defenders, is that it explains how matter can appear so different while still being manifestations of the same phenomena. The problem with this theory, according to its detractors, is that it doesn't lend itself to testing. Scientists haven't devised any method by which to determine if matter results from string interactions. Thus, some regard string theory as a nifty idea, but not a true theory because rigorous trials are not possible. At least not yet.
The second aspect pertains to quantum mechanics and the general theory of relativity. Quantum mechanics is the physics of the infinitesimally small. Quantum mechanics explains behaviors of minuscule entities that do not conform to classical physical principles.  Look at an electron. Classical physics would model electrons as being like small planets in orbit around the nucleus: a solar system in miniature. The fact is that physics once assumed atoms to be exactly like planet systems, only smaller. However, inconsistencies in atomic models compelled physicists to develop a new system of laws to explain how these sub-atomic particles behave. For instance, if the negatively charged electrons were tiny balls revolving around the positively charged nucleus, then the electrons would eventually crash into the nucleus, thereby destroying the atom.
Obviously, this self-implosion doesn't happen because the cosmos is stuffed with perfectly healthy atoms, thank you very much.
Quantum physics replaces the "flying ball" electrons with the "cloud electrons," in which electrons are not solid objects occupying specific space-time points. Instead, they are little cloud forms that can only occupy shells at fixed distances from the nucleus.
General relativity is Albert Einstein's theory explaining gravity. According to GR, gravity is not a force but is the result of macroscopic objects bending local space-time geometries. Any highly massive object will distort space-time enough to either deflect the paths of nearby objects or trap them altogether. The classical analogy is a bowling ball on a taut spandex sheet. The ball bends the sheet around it, producing an indentation. If one tossed ball bearings across the sheet, the small little ball bearings close to the large ball would fall into the indentation. They would, in effect, be trapped by the bowling ball's gravity well. So, the Sun isn't exerting a gravitational pull on the planets. The Sun is distorting its local space-time geometry and the planets are moving within the distortion.
Both quantum mechanics and general relativity are considered valid because they both yield predictions about particle behaviors that scientists can test.** A nagging issue pertains to how one can reconcile the macroscopic model of relativity with the microscopic realm of quantum mechanics. General relativity has given physicists deep insight into the nature of stars, black holes, and even how time differs on Earth's surface as opposed to high above it. However, general relativity assumes that all particles have classical behaviors, such as those observed in rocks and planets. It does not work well with quantum mechanics, hence the search for a unifying theory of "quantum gravity."
String theory offers the needed reconciliation  by introducing the "graviton," an elementary particle responsible for the space-time distortions caused by massive, macroscopic particles. Nobody has found this graviton and nobody is quite sure how one would be detected. Such string theory reconciliations also come with a few conditions that are untestable and, to some, seem bizarre, such as the proposition that the cosmos has eleven dimensions. We think of the world as having four dimensions: three spatial - length, breadth, width- and one temporal -duration. String theorists believe that seven others are curled up somewhere. They have no geometrical interpretation. Such extra-dimensions are necessary so the complicated mathematics involved works out.
However, here again we encounter a great deal of theory with no possible observation and consequently no testing. Perhaps someday a clever theorist will devise a means to test these theories for confirmation, modification or abandonment.
Until that time, of course, many will dismiss string theory as being a great tangle of enjoyable mind play.





*If I had been lazy and allowed Uber Professor Xavier Trinket to pen this article, he would have written exhaustively about the various types of elementary particles, including leptons and quarks (both types of fermions) and bosons, for instance. He would include all this extraneous material to inform the reader that elementary particles are not confined to merely quarks and electrons. This is why we're all grateful that he's a cranky twerp who doesn't get along with anybody and prefers to remain in his catacomb office where he doesn't have to write any articles or do any other type of work.


**It might seem curious that scientists could test such a theory about such an abstract concept as space-time bends. In 1919, Sir Arthur Eddington led an expedition to South America to photograph the starfield around the Sun during a total solar eclipse. When eclipsed by the moon, the Sun would be dark and the stars beyond it would be briefly visible. According to Einstein's General Theory of Relativity, the Sun's gravity field would bend incoming starlight, causing the apparent star locations to shift slightly from their usual positions. Eddington's team captured and then analyzed the photographs to determine that, indeed, the Sun's gravity "well" deflected the incoming starlight.



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