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Graph, Wall, Tome: Difference between revisions
→Graph: This simplified version probably works better in mobile. Side-by-side seemed awkward to me. Let me know if I'm missing something.
(→Graph: This simplified version probably works better in mobile. Side-by-side seemed awkward to me. Let me know if I'm missing something.) |
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Already in these objects together is enough information to begin a serious study of physics at its most fundamental level and comprehend the deep connections between mathematics and physics. Yet, almost no one knows or seeks them. Further still, as recently as the 1950s we were confused about the structure of the universe: we didn't know the world is left-right asymmetric, as discovered by [https://en.wikipedia.org/wiki/Chien-Shiung_Wu Madame Wu], and we didn't know the [https://en.wikipedia.org/wiki/Aharonov%E2%80%93Bohm_effect Aharonov-Bohm effect], which demonstrated that the electromagnetic field is less important than the electromagnetic potential. In the mid-1970s as well, Jim Simons and C.N. Yang showed that particle theory is completely geometric. Both of these developments are little known among the public. That the Graph, the Wall, and the Tome and these recent foundational developments are unknown is evidence that something is off in how we communicate science and hand down our knowledge. | Already in these objects together is enough information to begin a serious study of physics at its most fundamental level and comprehend the deep connections between mathematics and physics. Yet, almost no one knows or seeks them. Further still, as recently as the 1950s we were confused about the structure of the universe: we didn't know the world is left-right asymmetric, as discovered by [https://en.wikipedia.org/wiki/Chien-Shiung_Wu Madame Wu], and we didn't know the [https://en.wikipedia.org/wiki/Aharonov%E2%80%93Bohm_effect Aharonov-Bohm effect], which demonstrated that the electromagnetic field is less important than the electromagnetic potential. In the mid-1970s as well, Jim Simons and C.N. Yang showed that particle theory is completely geometric. Both of these developments are little known among the public. That the Graph, the Wall, and the Tome and these recent foundational developments are unknown is evidence that something is off in how we communicate science and hand down our knowledge. | ||
The aims of Graph, Wall, Tome lie in an extremely focused presentation of its core elements, improving and expanding upon the originals where necessary, to | The aims of Graph, Wall, Tome lie in an extremely focused presentation of its core elements, improving and expanding upon the originals where necessary, to chart the path to learning fundamental physics for as many willing people as can be reached. <!-- It is not an easy road to travel, but it is one extremely rewarding, and it is the one that, in the past 100 years alone, is responsible for the comforts and relative peace we enjoy today. --> | ||
Beyond Graph, Wall, Tome is the '''Search''', the search for a theory of everything. Ventures that may be considered part of the search are String Theory, Loop Quantum Gravity, Garrett Lisi's E8, and [[Eric Weinstein|Eric Weinstein's]] [[Theory of Geometric Unity|Geometric Unity]]. Graph, Wall, Tome can serve as a road to participate in the Search, though it should not be confused for the Search, and the Search should not be confused for it. | Beyond Graph, Wall, Tome is the '''Search''', the search for a theory of everything. Ventures that may be considered part of the search are String Theory, Loop Quantum Gravity, Garrett Lisi's E8, and [[Eric Weinstein|Eric Weinstein's]] [[Theory of Geometric Unity|Geometric Unity]]. Graph, Wall, Tome can serve as a road to participate in the Search, though it should not be confused for the Search, and the Search should not be confused for it. | ||
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=== Prime Directive === | === Prime Directive === | ||
<blockquote style="width: 600px; text-align: center; margin-left: auto; margin-right: auto; font-size: 125%; | <blockquote style="width: 600px; text-align: center; margin-left: auto; margin-right: auto; font-size: 125%;> | ||
A request: | A request: | ||
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=== Graph === | === Graph === | ||
The Graph is a paragraph from Edward Witten's 1987 paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry] at the bottom of page 20. In language it concisely encodes the general structure of reality: | The Graph is a paragraph from Edward Witten's 1987 paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry] at the bottom of page 20. In language it concisely encodes the general structure of reality: | ||
<blockquote style="font-size: 125%;"> | |||
<blockquote style=" | |||
If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations: | If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations: | ||
(i) Spacetime is a pseudo-Riemannian manifold | (i) Spacetime is a pseudo-Riemannian manifold <math>M</math>, endowed with a metric tensor and governed by geometrical laws. | ||
(ii) Over | (ii) Over <math>M</math> is a vector bundle <math>X</math> with a non-abelian gauge group <math>G</math>. | ||
(iii) Fermions are sections of | (iii) Fermions are sections of <math>(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}_{-} \otimes V_{\tilde{R}})</math>. <math>R</math> and <math>\tilde{R}</math> are not isomorphic; their failure to be isomorphic explains why the light fermions are light and presumably has its origins in representation difference <math>\Delta</math> in some underlying theory. | ||
All of this must be supplemented with the understanding that the geometrical laws obeyed by the metric tensor, the gauge fields, and the fermions are to be interpreted in quantum mechanical terms. | All of this must be supplemented with the understanding that the geometrical laws obeyed by the metric tensor, the gauge fields, and the fermions are to be interpreted in quantum mechanical terms. | ||
</blockquote> | </blockquote> | ||
<div style="text-align: center"> | |||
Scan of the original paragraph: | |||
[[File:The-graph.png|class=shadow|650px]] | [[File:The-graph.png|class=shadow|650px]] | ||
</div> | </div> | ||
Implicit in each respective section is: | Implicit in each respective section is: | ||
# Spin-2 Force Field for Gravity, the Einstein Field Equations | # Spin-2 Force Field for Gravity, the Einstein Field Equations | ||
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|publicationdate=9 January 2007 | |publicationdate=9 January 2007 | ||
|pages=1136 | |pages=1136 | ||
| | |isbn13=978-0679776314 | ||
}} | }} | ||
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[[Category:Projects]] | [[Category:Projects]] | ||
[[Category:Requested Project]] | [[Category:Requested Project]] | ||
{{SHORTDESC:A holistic view of math and physics}} | |||