Graph, Wall, Tome: Difference between revisions
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== Ongoing Sub-Projects == | == Ongoing Sub-Projects == | ||
* [[ | * [[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. | ||
* [[Annotating the Wall]] - The goal is to provide understandable explanations for all concepts shown on the Wall. | * [[Annotating the Wall]] - The goal is to provide understandable explanations for all concepts shown on the Wall. | ||
* [[Animating the Wall]] - The goal is to make the wall more inviting and the symbols on it less cryptic. | * [[Animating the Wall]] - The goal is to make the wall more inviting and the symbols on it less cryptic. | ||
* [[Defacing the Wall]] - How can the wall be improved? | * [[Defacing the Wall]] - How can the wall be improved? | ||
* [[ | * [[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]] - The goal is to create an updated version of the Graph since there are several small aspects of it that can and should be improved. | |||
* [[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. | ||
== Eric Weinstein's Prompt == | == Eric Weinstein's Prompt == | ||
<blockquote> | <blockquote style="width:500px"> | ||
A request: Try to draw the lines through the three. View it as a unified idea:<br> | A request: <br> | ||
Try to draw the lines through the three. View it as a unified idea:<br> | |||
The paragraph gets edited.<br> | The paragraph gets edited.<br> | ||
The wall gets defaced and grafittied.<br> | The wall gets defaced and grafittied.<br> | ||
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===The Graph=== | ===The Graph=== | ||
[[file:The-graph.png|right|class=shadow|350px]] | |||
The Graph is a paragraph (at the bottom of page 20) from Edward Witten's paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry]: | The Graph is a paragraph (at the bottom of page 20) from Edward Witten's paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry]: | ||
<blockquote> | <blockquote style="width:850px"> | ||
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 $$M$$, endowed with a metric tensor and governed by geometrical laws. | (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 $$G$$. | (ii) Over $$M$$ is a vector bundle $$X$$ with a non-abelian gauge group $$G$$. | ||
(iii) Fermions are sections of $$(\hat{S}{+} \otimes | (iii) Fermions are sections of $$(\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. | 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> | ||
An updated version of the Graph can be found [[Editing_the_Graph|here]]. | |||
===The Wall=== | ===The 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. | 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> | <gallery mode="packed" heights=600px> | ||
File:Newwall.png|center|class=shadow|400px|The Wall | File:Newwall.png|center|class=shadow|400px|The Wall | ||
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* Purchase the book somehow, then get the [https://www.academia.edu/351112/The_Road_to_Reality_Sir_Roger_Penrose PDF here] | * 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. | * 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]]. | |||
== Further Project Ideas== | == Further Project Ideas== | ||
* Organize expeditions - (guided or unguided) tours through the portal and into the wonderful world we call physics. Intellectual tourism. | |||
* Create/assemble resources that provide a geometric intuition for the equations and principles of fundamental physics - Geometric interpretations are most amenable to being visually represented. An example, is shown [[Example Visualization|here]]. | * Create/assemble resources that provide a geometric intuition for the equations and principles of fundamental physics - Geometric interpretations are most amenable to being visually represented. An example, is shown [[Example Visualization|here]]. | ||
* Create [[Accelerators:|Accelerators: 2 minute guides to fundamental principles.]] | * Create [[Accelerators:|Accelerators: 2 minute guides to fundamental principles.]] | ||
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* Create dependency graphs for chapters of the Tome. | * Create dependency graphs for chapters of the Tome. | ||
* Create expandable version of the Graph, i.e. multiple versions of the Graph that reveal more and more details. | * Create expandable version of the Graph, i.e. multiple versions of the Graph that reveal more and more details. | ||
* Create fully-fledged learning path like [https://github.com/bmorelli25/Become-A-Full-Stack-Web-Developer] | |||
== Resources & References == | == Resources & References == | ||
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* [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] | ||
* [[Eric’s Most Important Set of Books]] | * [[Eric’s Most Important Set of Books]] | ||
* [https://physicstravelguide.com/ The Physics Travel Guide] | * [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. | |||
* Information about the GWT project were first collected in a Google Doc titled [https://docs.google.com/document/d/1Bo5ny0UyC8gEHiAaDR2Al2OSGscUWPS8NFI-hvB1z4o/edit?pli=1 Graph, Wall, Tome - Problem Solving]. | * Information about the GWT project were first collected in a Google Doc titled [https://docs.google.com/document/d/1Bo5ny0UyC8gEHiAaDR2Al2OSGscUWPS8NFI-hvB1z4o/edit?pli=1 Graph, Wall, Tome - Problem Solving]. | ||
* [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:Projects]] | |||