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# [https://en.wikipedia.org/wiki/Spacetime Spacetime] is a [https://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold pseudo-Riemannian manifold] M, endowed with a [https://en.wikipedia.org/wiki/Metric_tensor metric tensor] and governed by [https://en.wikipedia.org/wiki/Geometry geometrical laws]. | # [https://en.wikipedia.org/wiki/Spacetime Spacetime] is a [https://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold pseudo-Riemannian manifold] M, endowed with a [https://en.wikipedia.org/wiki/Metric_tensor metric tensor] and governed by [https://en.wikipedia.org/wiki/Geometry geometrical laws]. | ||
# Over M is a [https://en.wikipedia.org/wiki/Principal_bundle principle bundle] $$P_{G}$$ with a [https://en.wikipedia.org/wiki/Non-abelian_group non-abelian structure group] G. | # Over M is a [https://en.wikipedia.org/wiki/Principal_bundle principle bundle] $$P_{G}$$ with a [https://en.wikipedia.org/wiki/Non-abelian_group 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. | # [https://en.wikipedia.org/wiki/Fermion Fermions] are sections of $$(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\bar{R}})$$. $$R$$ and $$\bar{R}$$ are not [https://en.wikipedia.org/wiki/Isomorphism isomorphic]; their failure to be isomorphic explains why the light fermions are light. | ||
# Add something about Higgs | # Add something about Higgs | ||