Graph, Wall, Tome: Difference between revisions
→The Graph
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* Also in (ii), “nonabelian gauge group G” should be changed to nonabelian structure group G. | * Also in (ii), “nonabelian gauge group G” should be changed to nonabelian structure group G. | ||
* In (iii), R and R should be (complex) linear representations of G and so they are not equivalent. | * In (iii), R and R should be (complex) linear representations of G and so they are not equivalent. | ||
===Converted to text and re-written according to 'flaws' (equations will work when math library installed)=== | |||
<blockquote> | |||
If one wants to summarise our knowledge of physics in the briefest possible terms, there three really fundamental observations: | |||
# Space-time is a pseudo-Riemannian manifold M, endowed with a metric tensor and governed by geometrical laws. | |||
# Over M is a principle bundle $P_{G}$ with a non-abelian structure group G. | |||
# Fermions are sections of $(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\bar{R}})$. $R$ and $\bar{R}$ are not isomorphic; their failure to be isomorphic explains why the light fermions are light. | |||
# Add something about Higgs | |||
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> | |||
== The Wall == | == The Wall == | ||