refactor: Shake
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36 changed files with 30 additions and 65 deletions
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@ -4,8 +4,6 @@ Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.Metric
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import HepLean.SpaceTime.FourVelocity
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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import Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup
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/-!
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# Spacetime as a self-adjoint matrix
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@ -4,9 +4,9 @@ Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import Mathlib.Data.Complex.Exponential
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import Mathlib.Geometry.Manifold.VectorBundle.Basic
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import Mathlib.Analysis.InnerProductSpace.Adjoint
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import Mathlib.Geometry.Manifold.SmoothManifoldWithCorners
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import Mathlib.Analysis.InnerProductSpace.PiL2
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import Mathlib.LinearAlgebra.Matrix.DotProduct
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/-!
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# Space time
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@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.Metric
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import Mathlib.Analysis.Complex.Basic
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/-!
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# The Clifford Algebra
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@ -5,11 +5,7 @@ Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.Basic
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import HepLean.SpaceTime.Metric
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import Mathlib.Analysis.InnerProductSpace.Adjoint
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import Mathlib.LinearAlgebra.CliffordAlgebra.Basic
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import Mathlib.Algebra.Lie.Classical
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import Mathlib.Algebra.Lie.TensorProduct
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import Mathlib.Analysis.InnerProductSpace.Adjoint
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/-!
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# The Lorentz Algebra
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@ -4,11 +4,7 @@ Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.Metric
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import HepLean.SpaceTime.FourVelocity
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import HepLean.SpaceTime.AsSelfAdjointMatrix
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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import Mathlib.Geometry.Manifold.Algebra.LieGroup
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import Mathlib.Analysis.Matrix
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/-!
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# The Lorentz Group
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@ -3,10 +3,9 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.LorentzGroup.Orthochronous
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import HepLean.SpaceTime.LorentzGroup.Proper
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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import Mathlib.Topology.Constructions
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import HepLean.SpaceTime.FourVelocity
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/-!
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# Boosts
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@ -5,7 +5,6 @@ Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.FourVelocity
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import HepLean.SpaceTime.LorentzGroup.Proper
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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/-!
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# The Orthochronous Lorentz Group
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@ -4,7 +4,6 @@ Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.LorentzGroup.Basic
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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/-!
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# The Proper Lorentz Group
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@ -3,10 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.LorentzGroup.Orthochronous
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import HepLean.SpaceTime.LorentzGroup.Proper
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import HepLean.SpaceTime.LorentzGroup.Basic
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import HepLean.GroupTheory.SO3.Basic
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import Mathlib.GroupTheory.SpecificGroups.KleinFour
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import Mathlib.Topology.Constructions
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/-!
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# Rotations
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@ -4,11 +4,8 @@ Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.Basic
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import Mathlib.Analysis.InnerProductSpace.Adjoint
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import Mathlib.LinearAlgebra.CliffordAlgebra.Basic
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import Mathlib.Algebra.Lie.Classical
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import Mathlib.Algebra.Lie.TensorProduct
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import Mathlib.Tactic.RewriteSearch
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import Mathlib.LinearAlgebra.QuadraticForm.Basic
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/-!
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# Spacetime Metric
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