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Physics /
Physics.ThreeGenerations /
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formal statement (Lean)
125 theorem mass_from_phi_ladder :
126 1 < phi := by linarith [Constants.phi_gt_onePointFive]
proof body
Term-mode proof.
127
128 /-! ## Why Not 2 or 4 Generations? -/
129
130 /-- Could we have 2 generations? No - D=3 requires 3 dimensions.
131 Could we have 4? No - 8 = 2³ gives exactly 3 bits.
132
133 **Proved**: 8 = 2^3 and the number of bits in a byte is 3 (log₂ 8 = 3). -/
depends on (13)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
phi_gt_onePointFive
in IndisputableMonolith.Constants
decl_use
or
in IndisputableMonolith.Constants.EulerMascheroni
decl_use
Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use