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feat: Add metric invariance for Real Lorentz Tensors

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jstoobysmith 2024-07-31 08:52:09 -04:00
parent 8b2c853fd8
commit 7b0b979d51
7 changed files with 175 additions and 24 deletions
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6
HepLean/SpaceTime/MinkowskiMetric.lean
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@ -79,6 +79,12 @@ lemma as_block : @minkowskiMatrix d = (
rw [← diagonal_neg]
rfl
@[simp]
lemma off_diag_zero {μ ν : Fin 1 ⊕ Fin d} (h : μ ≠ ν) : η μ ν = 0 := by
simp only [minkowskiMatrix, LieAlgebra.Orthogonal.indefiniteDiagonal]
apply diagonal_apply_ne
exact h
end minkowskiMatrix
/-!