Graph, Wall, Tome: Difference between revisions
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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 $$(\hat{S}{+} \otimes V_{R}) \oplus (\hat{S} \otimes V_{\ | (iii) Fermions are sections of $$(\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> | ||
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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]]. | 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== | ||
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* [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]] | |||