10 November 2012

Notes - Strings and Elsewhere + Ship @ Still


            Late afternoon. You have been reading up on String Theory as Doug suggested "hyperspace to elsewhere" but the only problem is once you are in elsewhere is how do you stop? Return to Wiki Offline (as you and Carol are at Pine Hill Lakes Park). - Amorella

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String theory is an active research framework in particle physics in that attempts to reconcile quantum mechanics and general relativity. It is a contender for a theory of everything (TOE), a self-contained mathematical model that describes all fundamental forces and forms of matter.
String theory posits that the electrons and quarks within an atom are not 0-dimensional objects, but rather 1-dimensional oscillating lines ("strings"). The earliest string model, the bosonic string, incorporated only bosons, although this view developed to the superstring theory, which posits that a connection (a "supersymmetry") exists between bosons and fermions. String theories also require the existence of several extra dimensions to the universe that have been compactified into extremely small scales, in addition to the four known spacetime dimensions.
The theory has its origins in an effort to understand the strong force, the dual resonance model (1969). Subsequent to this, five different superstring theories were developed that incorporated fermions and possessed other properties necessary for a theory of everything. Since the mid-1990s, in particular due to insights from dualities shown to relate the five theories, an eleven-dimensional theory called M-theory is believed to encompass all of the previously-distinct superstring theories.
Many theoretical physicists (e.g., Stephen Hawking, Witten, Maldacena and Susskind) believe that string theory is a step toward the correct fundamental description of nature. This is because string theory allows for the consistent combination of quantum field theory and general relativity, agrees with general insights in quantum gravity (such as the holographic principle and Black hole thermodynamics), and because it has passed many non-trivial checks of its internal consistency. According to Hawking in particular, "M-theory is the only candidate for a complete theory of the universe." Nevertheless, other physicists, such as Feynaman and Glashow, have criticized string theory for not providing novel experimental predictions at accessible energy scales.

From: Wikipedia Offline
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         One dimensionality (physics) above can be analogous to the one dimensionality of my existence (metaphysics). - Amorella

         This sounds good in context with the fiction. Where do we go from this?

         Continue with the article. - Amorella

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Overview

String theory posits that the electrons and quarks within an atom are not 0-dimensional objects, but made up of 1-dimensional strings. These strings can oscillate, giving the observed particles their flavor, charge, mass and spin. Among the modes of oscillation of the string is a massless, spin-two state -- a graviton. The existence of this graviton state and the fact that the equations describing string theory include Einstein's equations for general relativity mean that string theory is a quantum theory of gravity. Since string theory is widely believed to be mathematically consistent, many hope that it fully describes our universe, making it a theory of everything. String theory is known to contain configurations that describe all the observed fundamental forces and matter but with a zero cosmological constant and some new fields. Other configurations have different values of the cosmological constant, and are metastable but long-lived. This leads many to believe that there is at least one metastable solution that is quantitatively identical with the standard model, with a small cosmological constant, containing dark matter and a plausible mechanism for cosmic inflation. It is not yet known whether string theory has such a solution, nor how much freedom the theory allows to chose the details.
String theories also include objects other than strings, called branes. The word brane, derived from "membrane", refers to a variety of interrelated objects, such as D-branes, black p-branes and Neveu-Schwarz 5-branes. These are extended objects that are charged sources for differential form generalizations of the vector potential electromagnetic field. These objects are related to one another by a variety of dualities. Black hole-like black p-branes are identified with D-branes, which are endpoints for strings, and this identification is called Gauge-gravity duality. Research on this equivalence has led to new insights on quantum chromodynamics, the fundamental theory of the strong nuclear force. The strings make closed loops unless they encounter D-branes, where they can open up into 1-dimensional lines. The endpoints of the string cannot break off the D-brane, but they can slide around on it.
The full theory does not yet have a satisfactory definition in all circumstances, since the scattering of strings is most straightforwardly defined by a perturbation theory. The complete quantum mechanics of high dimensional branes is not easily defined, and the behavior of string theory in cosmological settings (time-dependent backgrounds) is not fully worked out. It is also not clear as to whether there is any principle by which string theory selects its vacuum state, the spacetime configuration that determines the properties of our universe (see string theory landscape).

From Wikipedia Offline
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         You have reread the article a couple of times and are searching for further connections to one-dimensionality in physics. - Amorella

         Doug sent me two articles today. Here is a selection from one:

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Hidden in Einstein's Math: Faster-than-Light Travel?

Clara Moskowitz, LiveScience senior writer

Date: 08 October 2012 Time: 12:02 PM ET

Although Einstein's theories suggest nothing can move faster than the speed of light, two scientists have extended his equations to show what would happen if faster-than-light travel were possible.

Despite an apparent prohibition on such travel by Einstein’s theory of special relativity, the scientists said the theory actually lends itself easily to a description of velocities that exceed the speed of light.
"We started thinking about it, and we think this is a very natural extension of Einstein's equations," said applied mathematician James Hill, who co-authored the new paper with his University of Adelaide, Australia, colleague Barry Cox. The paper was published Oct. 3 in the journal Proceedings of the Royal Society A: Mathematical and Physical Sciences. . . .
Yet special relativity breaks down if two people's relative velocity, the difference between their respective speeds, approaches the speed of light. Now, Hill and Cox have extended the theory to accommodate an infinite relative velocity.  [Top 10 Implications of Faster-Than-Light Neutrinos]
Interestingly, neither the original Einstein equations, nor the new, extended theory can describe massive objects moving at the speed of light itself. Here, both sets of equations break down into mathematical singularities, where physical properties can't be defined.
"The actual business of going through the speed of light is not defined," Hill told LiveScience. "The theory we've come up with is simply for velocities greater than the speed of light."
In effect, the singularity divides the universe into two: a world where everything moves slower than the speed of light, and a world where everything moves faster. The laws of physics in these two realms could turn out to be quite different.
In some ways, the hidden world beyond the speed of light looks to be a strange one indeed. Hill and Cox's equations suggest, for example, that as a spaceship traveling at super-light speeds accelerated faster and faster, it would lose more and more mass, until at infinite velocity, its mass became zero.
"It's very suggestive that the whole game is different once you go faster than light," Hill said.
Despite the singularity, Hill is not ready to accept that the speed of light is an insurmountable wall. He compared it to crossing the sound barrier. Before Chuck Yeager became the first person to travel faster than the speed of sound in 1947, many experts questioned whether it could be done. Scientists worried that the plane would disintegrate, or the human body wouldn't survive. Neither turned out to be true.
Fears of crossing the light barrier may be similarly unfounded, Hill said.
"I think it's only a matter of time," he said. "Human ingenuity being what it is, it's going to happen, but maybe it will involve a transportation mechanism entirely different from anything presently envisaged."

Edited from: http://www.livescience.com/23789-einstein-relativity-faster-than-light-travel.html

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         Another piece was Lecture 3: Special Relativity - II, Objectives: Four Vectors. Reading: Schutz, chapter 2, Rindler chapter 5, Hobson chapter 5. Mostly this is equations that I cannot comprehend. I wrote a thank you for both articles:

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On 11/10/2012 6:20 PM, orndorff wrote:

Thank you for both of these articles. Very cool! What if Ship were encompassed with a photon bubble when it started and stopped?  Like an on/off switch only it would be slower than light, light, faster than light?  Just a thought. I'll have to read through this. [Dick]

Dick, Interesting idea. You should give a name to the stuff that exists in elsewhere, i.e. the stuff that goes faster than the speed of light. Then you could wrap your ship in that. I saw a program the other day where some physicist was sure we could go faster than the speed of light by standing still in space but devouring the space in front of his space ship. It would indeed be like warp drive but it is space which is moving by and thus can goes as fast as you want. It had something to do with wormholes I think.
Doug

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         In tribute to Doug's guidance I will name the faster than light stuff "jadengos" [jade-N-goss] if he allows me to do so. This is going to take more working through but I like it a lot better than warp drive. The faster than light stuff will be a form of hyperspace (back to a tip of the hat to Asimov). I need to put a slice of wormhole in the concept also and have Doug go over this again theoretically. I am pumped.

         You see, this was not a bad day at all. The books require all kinds of accomplishments and you and Doug are looking into them. Post. - Amorella

         I love this stuff, Amorella. Though I am not good in math at all the concepts are awesome within the framework of imagination and reason (a scientific plausibility in the mind).
        
         2316 hours. It is time for bed.

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