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- URL: https://x.com/EricLengyel/status/1784712481858085204
- Author: Eric Lengyel (@EricLengyel)
- Posted: 2024-04-28 22:33:08
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1/ @EricLengyel
A common argument against the east coast metric signature (−+++) is that timelike magnitudes are negative. This problem evaporates in 5D projective space-time exterior algebra because the weight component of a homogeneous magnitude cancels the minus sign. Projected magnitudes are always positive.
Furthermore, the metric exomorphism G always contains both the east coast and west coast metrics g within the full 32×32 tensor. Below, the green box contains the 5×5 projective metric for vectors with the east coast signature (−+++0), and its west coast counterpart appears in the purple box for trivectors.
Branches: 2024-04-29-maxliani-thread