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__TOC__ | |||
<blockquote> | |||
A request: | |||
Try to draw the lines through the three. View it as a unified idea: | |||
The Paragraph gets edited, | |||
The Wall gets defaced and graffitied, | |||
The Sacred Tome gets rewritten. | |||
But follow the skeins through each. | |||
The Graph points to the Wall, | |||
And the Wall to the Tome, | |||
And the Tome leads to the Search. | |||
</blockquote> | |||
=== Graph === | === Graph === | ||
[[file:The-graph.png|right|class=shadow|350px]] | |||
The Graph is a paragraph from Edward Witten's paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry], at the bottom of page 20: | |||
<blockquote style="width:850px"> | |||
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 $$M$$, endowed with a metric tensor and governed by geometrical laws. | |||
(ii) Over $$M$$ is a vector bundle $$X$$ with a non-abelian gauge group $$G$$. | |||
(iii) Fermions are sections of $$(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}_{-} \otimes V_{\tilde{R}})$$. $$R$$ and $$\tilde{R}$$ are not isomorphic; their failure to be isomorphic explains why the light fermions are light and presumably has its origins in representation difference $$\Delta$$ 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. | |||
</blockquote> | |||
=== Wall === | === Wall === | ||
The following [http://www.math.stonybrook.edu/~tony/scgp/wall-story/wall-story.html image is carved into a wall at Stony Brook University]. It contains many of the most fundamental equations of physics, providing a formulaic representation of all reality. | |||
= | <div style="text-align: center;">'''[https://dev.theportal.dev/wall/ click here for an interactive version of the Wall].'''</div> | ||
== | <gallery mode="packed" heights=600px> | ||
File:Newwall.png|center|class=shadow|400px|The Wall | |||
File:Key-to-wall.png|center|class=shadow|400px|Explanations for the Wall | |||
</gallery> | |||
== | === Tome === | ||
[[File:The-tome.png|right|class=shadow|150px]] | |||
The Tome is the book Road to Reality by Roger Penrose which contains a comprehensive account of the physical universe. To gain an understanding and intuition for the information contained in 'The Graph', and 'The Wall', reading this book will provide a great head-start. With 34 chapters spread over 1000 pages, including diagrams, equations, and descriptions, there are multiple avenues for understanding all concepts. | |||
* ISBN: 978-0679776314 | |||
* [https://www.amazon.com/Road-Reality-Complete-Guide-Universe/dp/0679776311 Road to Reality by Roger Penrose on Amazon] | |||
* Purchase the book somehow, then get the [https://www.academia.edu/351112/The_Road_to_Reality_Sir_Roger_Penrose PDF here] | |||
* There appears to be a [https://www.amazon.com/Road-Reality-Complete-Guide-Universe-ebook/dp/B01BS7NTA6 Kindle Edition] that isn't available in the US. If anyone in the community has a way to get a Kindle version of the book, please add it here. | |||
* [https://discord.gg/3xgrNwJ The Portal Book Club] - We have a weekly group that meets to talk about this book. Come join us in Discord! | |||
Study notes for the Tome can be found [[The_Road_to_Reality_Study_Notes|here]]. | |||
Reference material by chapter can be found [[The Road to Reality|here]]. | |||
== Core Sub-projects == | |||
* [[Decoding the Graph-Wall-Tome Connection]] - What are the common themes that appear in the Graph, the Wall, and the Tome? What do they hint at? | |||
=== Editing the Graph & Defacing the Wall === | |||
* [[Editing the Graph]] - The goal is to create an updated version of the Graph since there are several small aspects of itΒ that can and should be improved. | |||
=== Rewriting the Tome === | |||
== Resources == | |||
* [https://docs.google.com/document/d/1t9AvvFZzODw1WiGRZwRsFFZdPdBzYVJGLHiqWNrMtIA/edit?usp=sharing Master Planning Doc] | |||
* [https://drive.google.com/drive/folders/1706CBEJQEMppV60OU8OtcXxicluk2T3Y?usp=sharing Drive Folder] | |||
* [https://docs.google.com/document/d/18rN-zfv41xeH3WFNOrZNb7Clz-yu1dgulP4bcEPKbcY/edit?usp=sharing List of Reference Material] | |||
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== Reference == | |||
Β | == Other Sub-projects == | ||
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== | |||
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* [[The Road to Reality Study Notes|Studying the Tome]] - The Tome can be intimidating. This problem can be solved 1.) by creating resources that make it easier to digest its content and 2.) by going through the chapters together. | * [[The Road to Reality Study Notes|Studying the Tome]] - The Tome can be intimidating. This problem can be solved 1.) by creating resources that make it easier to digest its content and 2.) by going through the chapters together. | ||
* [[Geometry|Geometry Project]] - The aim is to create and collect resources related to Frederic P. Schuller's lecture series titled "Lectures on Geometrical Anatomy of Theoretical Physics" that provides a great introduction to geometrical concepts that are essential for the Graph, Wall, Tome project. | * [[Geometry|Geometry Project]] - The aim is to create and collect resources related to Frederic P. Schuller's lecture series titled "Lectures on Geometrical Anatomy of Theoretical Physics" that provides a great introduction to geometrical concepts that are essential for the Graph, Wall, Tome project. | ||
* [[Holonomy Project]] - The goal is to create visualizations for the effect known as "holonomy", whereby parallel transporting a vector around a loop in a curved space leads to the vector changing upon returning to the start of the loop. How/how much the vector changes orientation/position in space is the holonomy of that loop in that space. This effect reveals deep information about the curvature of the space itself. | * [[Holonomy Project]] - The goal is to create visualizations for the effect known as "holonomy", whereby parallel transporting a vector around a loop in a curved space leads to the vector changing upon returning to the start of the loop. How/how much the vector changes orientation/position in space is the holonomy of that loop in that space. This effect reveals deep information about the curvature of the space itself. | ||
== OLD Further Project Ideas== | == OLD Further Project Ideas== | ||
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== OLD Resources & References == | == OLD Resources & References == | ||
* [https://www.dropbox.com/s/xdickldblj574mf/eric%20wall%20-%20tome%20-%20graph.m4a?dl=0| Recording of original call w/ Eric] | * [https://www.dropbox.com/s/xdickldblj574mf/eric%20wall%20-%20tome%20-%20graph.m4a?dl=0| Recording of original call w/ Eric] | ||
* [[Ericβs Most Important Set of Books]] | * [[Ericβs Most Important Set of Books]] | ||
* [https://physicstravelguide.com/ The Physics Travel Guide] - a didactic Wiki that explains math and physics concepts in three levels of difficulty. | * [https://physicstravelguide.com/ The Physics Travel Guide] - a didactic Wiki that explains math and physics concepts in three levels of difficulty. | ||
* [https://github.com/rossant/awesome-math Awesome Math] - a curated list of useful math resources. | * [https://github.com/rossant/awesome-math Awesome Math] - a curated list of useful math resources. | ||
* [https://www.youtube.com/playlist?list=PL5TiDYF_g45BA3abSyNl7M4pFzihZdoHT Relevant conversations with Eric on The Portal Discord Server] | * [https://www.youtube.com/playlist?list=PL5TiDYF_g45BA3abSyNl7M4pFzihZdoHT Relevant conversations with Eric on The Portal Discord Server] | ||
* [https://www.youtube.com/playlist?list=PL5TiDYF_g45Az5qgAP5Lj8Y3qKPSib1eP Misc recordings on The Portal Server for project and other notable conversations] | * [https://www.youtube.com/playlist?list=PL5TiDYF_g45Az5qgAP5Lj8Y3qKPSib1eP Misc recordings on The Portal Server for project and other notable conversations] | ||
[[Category:Graph, Wall, Tome]] | [[Category:Graph, Wall, Tome]] | ||
[[Category:Projects]] | [[Category:Projects]] |