module module moderate

`IndisputableMonolith.StandardModel.SupersymmetryBreaking`

This module assembles definitions for supersymmetry breaking in the Recognition Science treatment of the Standard Model. It introduces superpartner pairs, J-cost averages for bosons and fermions, and a breaking mechanism tied to the eight-tick octave. Particle physicists exploring RS extensions of the Standard Model would reference these objects when constructing soft-breaking terms or LSP candidates. The module consists entirely of declarations and abbreviations with no theorems or proofs.

claimA superpartner pair is a matched boson-fermion pair whose J-costs satisfy the Recognition Composition Law; the SUSY-breaking scale is set by the eight-tick octave applied to the phi-ladder, with soft-breaking terms derived from averaged J-costs.

background

The module imports Constants (where τ₀ = 1 tick is the fundamental RS time quantum), Cost (J-cost structure), and PhiForcing (which establishes that φ is forced by self-similarity in a discrete ledger with J-cost). It operates inside the StandardModel domain and introduces sibling declarations such as SuperPair (a superpartner pair), bosonJCostAverage, fermionJCostAverage, susy_breaking_from_8_tick, softBreaking, and lspCandidates. These sit atop the phi-ladder and eight-tick octave already proved in upstream PhiForcing.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the SUSY-breaking layer required by the StandardModel constructions that follow the eight-tick octave (T7) and phi-forcing chain. It prepares objects that later connect to mass formulas and alpha-band constraints, even though no downstream uses are recorded yet.

scope and limits

Does not prove any theorem about SUSY viability.
Does not compute numerical breaking scales or particle spectra.
Does not link to specific LHC limits or experimental bounds.
Does not derive the full soft-breaking Lagrangian.

depends on (3)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Cost module_import
IndisputableMonolith.Foundation.PhiForcing module_import

declarations in this module (15)

structure SuperPair L49
def superpartners L66
def susyBenefits L81
inductive SUSYBreakingMechanism L97
theorem susy_breaking_from_8_tick L115
def bosonJCostAverage L125
def fermionJCostAverage L128
theorem susy_breaking_scale L137
def softBreaking L149
def lhcLimits L162
def susyViability L177
def lspCandidates L193
def rsWithoutSusy L208
def summary L225
structure SUSYBreakingFalsifier L239