User:Aardvark/GWT

	The Road to Reality
Information
Author	Sir Roger Penrose
Language	English
Genre	Physics
Publisher	Vintage
Publication Date	9 January 2007
Pages	1136

	Graph, Wall, Tome
Information
Topic	Graph, Wall, Tome
Leader	Aardvark (Aardvark#5610); Tim (TimFH#7940)
Start Date	27 January 2020
Placeholder	Placeholder
Google Drive	Drive
Master Planning	Doc
Reference Material	Doc
Links
Website	Homepage
Discord	Invite
	All Projects

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Prime Directive

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.

Graph

The Graph is a paragraph from Edward Witten's paper Physics and Geometry, at the bottom of page 20. In language it concisely encodes the overarching structure of reality:

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.

Wall

The following image is carved into a wall at Stony Brook University. It contains many equations and mathematical results that have contributed to the human understanding of reality.

Click here for an interactive version of the Wall.

The Wall
Legend

Tome

The Tome is The Road to Reality by Sir Roger Penrose, which contains a comprehensive account of the physical universe, as it was understood around 2007, in 34 chapters spread over 1000 pages with diagrams and equations. For the information contained in the Graph and the Wall, this book provides intuition and the beginnings of understanding. It serves as an example of how these concepts can be explained and arranged to encourage productive learning.

Road to Reality by Roger Penrose on Amazon

The community is reading through the tome and gathering resources on the wiki.

The Portal Book Club - We have a weekly group that meets to talk about this book. Come join us in Discord!
Community study notes.
Reference material by chapter.

Core Sub-projects

The essence of Graph, Wall, Tome is viewing each as part of a singular idea. What content is common among them is what should be expanded, and their unique content should be promoted if it is a part of fundamental physics toolkit, or removed if it isn't.

Graph-Wall-Tome Connection

Decoding the Graph-Wall-Tome Connection - What are the common themes that appear in the Graph, the Wall, and the Tome? What do they point to?

Editing the Graph

Editing the Graph - Though the original Graph aptly describes our physical knowledge, there are some minor alterations and additions to be made for it to accurately capture the present understanding.

Defacing the Wall

Defacing the Wall - Update and improve the wall so that it is conciliant with fundamental theoretical physics.

Rewriting the Tome

Rewriting the Tome - For everything that is in the new Graph and Wall, write their elaboration and explanation.

Resources

Other Sub-projects

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.
Holonomy Project (Stalled) - 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 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.

Archived Sub-projects

Climbing the Cliff (Archived) - Create a learning guide through The Road to Reality.
Deface the Wall (Completed) - Cam and boqu made a new wall that's interactive.
Geometry Project (Archived) - 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.
Interactive Wall (Completed) - Demp and boqu made a wall that you can pan and zoom and click on! It also pulls information from the wiki based on what is in view.