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Merge branch 'Update-versions' into Tensors

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jstoobysmith 2024-07-12 16:45:09 -04:00
commit e393ac1b70
87 changed files with 269 additions and 216 deletions
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2
HepLean/SpaceTime/Basic.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import Mathlib.Data.Complex.Exponential

2
HepLean/SpaceTime/CliffordAlgebra.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import Mathlib.Analysis.Complex.Basic

2
HepLean/SpaceTime/LorentzAlgebra/Basic.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.MinkowskiMetric

2
HepLean/SpaceTime/LorentzAlgebra/Basis.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzAlgebra.Basic

4
HepLean/SpaceTime/LorentzGroup/Basic.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.MinkowskiMetric
@ -239,7 +239,7 @@ open LorentzVector
-/
/-- The first column of a lorentz matrix as a `NormOneLorentzVector`. -/
/-- The first column of a Lorentz matrix as a `NormOneLorentzVector`. -/
@[simps!]
def toNormOneLorentzVector (Λ : LorentzGroup d) : NormOneLorentzVector d :=
⟨Λ.1 *ᵥ timeVec, by rw [NormOneLorentzVector.mem_iff, Λ.2, minkowskiMetric.on_timeVec]⟩

2
HepLean/SpaceTime/LorentzGroup/Boosts.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzGroup.Proper

4
HepLean/SpaceTime/LorentzGroup/Orthochronous.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzVector.NormOne
@ -150,7 +150,7 @@ lemma mul_not_othchron_of_not_othchron_othchron {Λ Λ' : LorentzGroup d} (h :
rw [IsOrthochronous_iff_futurePointing] at h h'
exact NormOneLorentzVector.FuturePointing.metric_reflect_not_mem_mem h h'
/-- The homomorphism from `lorentzGroup` to `ℤ₂` whose kernel are the Orthochronous elements. -/
/-- The homomorphism from `LorentzGroup` to `ℤ₂` whose kernel are the Orthochronous elements. -/
def orthchroRep : LorentzGroup d →* ℤ₂ where
toFun := orthchroMap
map_one' := orthchroMap_IsOrthochronous (by simp [IsOrthochronous])

4
HepLean/SpaceTime/LorentzGroup/Proper.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzGroup.Basic
@ -122,7 +122,7 @@ lemma IsProper_iff (Λ : LorentzGroup d) : IsProper Λ ↔ detRep Λ = 1 := by
rw [detRep_apply, detRep_apply, detContinuous_eq_iff_det_eq]
simp only [IsProper, lorentzGroupIsGroup_one_coe, det_one]
lemma id_IsProper : (@IsProper d) 1 := by
lemma id_IsProper : @IsProper d 1 := by
simp [IsProper]
lemma isProper_on_connected_component {Λ Λ' : LorentzGroup d} (h : Λ' ∈ connectedComponent Λ) :

2
HepLean/SpaceTime/LorentzGroup/Restricted.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
/-!

2
HepLean/SpaceTime/LorentzGroup/Rotations.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzGroup.Basic

6
HepLean/SpaceTime/LorentzVector/AsSelfAdjointMatrix.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.MinkowskiMetric
@ -75,12 +75,12 @@ noncomputable def toSelfAdjointMatrix :
ext i j
fin_cases i <;> fin_cases j <;>
field_simp [fromSelfAdjointMatrix', toMatrix, conj_ofReal]
exact conj_eq_iff_re.mp (congrArg (fun M => M 0 0) $ selfAdjoint.mem_iff.mp x.2 )
exact conj_eq_iff_re.mp (congrArg (fun M => M 0 0) $ selfAdjoint.mem_iff.mp x.2)
have h01 := congrArg (fun M => M 0 1) $ selfAdjoint.mem_iff.mp x.2
simp only [Fin.isValue, star_apply, RCLike.star_def] at h01
rw [← h01, RCLike.conj_eq_re_sub_im]
rfl
exact conj_eq_iff_re.mp (congrArg (fun M => M 1 1) $ selfAdjoint.mem_iff.mp x.2 )
exact conj_eq_iff_re.mp (congrArg (fun M => M 1 1) $ selfAdjoint.mem_iff.mp x.2)
map_add' x y := by
ext i j : 2
simp only [toSelfAdjointMatrix'_coe, add_apply, ofReal_add, of_apply, cons_val', empty_val',

2
HepLean/SpaceTime/LorentzVector/Basic.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import Mathlib.Data.Complex.Exponential

2
HepLean/SpaceTime/LorentzVector/NormOne.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzVector.Basic

4
HepLean/SpaceTime/MinkowskiMetric.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzVector.Basic
@ -190,7 +190,7 @@ lemma self_spaceReflection_eq_zero_iff : ⟪v, v.spaceReflection⟫ₘ = 0 ↔ v
/-- The metric tensor is non-degenerate. -/
lemma nondegenerate : (∀ w, ⟪w, v⟫ₘ = 0) ↔ v = 0 := by
refine Iff.intro (fun h => ?_) (fun h => ?_)
· exact (self_spaceReflection_eq_zero_iff _ ).mp ((symm _ _).trans $ h v.spaceReflection)
· exact (self_spaceReflection_eq_zero_iff _).mp ((symm _ _).trans $ h v.spaceReflection)
· simp [h]
/-!

2
HepLean/SpaceTime/SL2C/Basic.lean
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@ -1,6 +1,6 @@
/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzGroup.Basic