theorem proved tactic proof

`rs_hierarchy`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 179theorem rs_hierarchy :
 180    -- Basic fact: v << M_Planck (about 10^17 ratio)
 181    -- We prove the ratio is indeed very large
 182    let M_Planck : ℝ := 1.22e19  -- GeV

proof body

Tactic-mode proof.

 183    vev_observed / M_Planck < 1e-15 := by
 184  unfold vev_observed
 185  norm_num
 186
 187/-! ## Goldstone Bosons -/
 188
 189/-- When symmetry breaks, Goldstone bosons appear:
 190
 191    SU(2)_L × U(1)_Y → U(1)_EM
 192
 193    Three symmetries are broken → three Goldstone bosons.
 194
 195    These become the longitudinal components of W⁺, W⁻, Z⁰! -/

depends on (15)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
U in IndisputableMonolith.Constants.RSNativeUnits 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
W in IndisputableMonolith.Masses.Anchor decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use
W in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation decl_use
W in IndisputableMonolith.Physics.MassTopology decl_use
U in IndisputableMonolith.Recognition decl_use
vev_observed in IndisputableMonolith.StandardModel.ElectroweakBreaking decl_use