SUSYBreakingFalsifier
The SUSYBreakingFalsifier structure encodes the three experimental or theoretical outcomes that would invalidate the J-cost account of supersymmetry breaking. A physicist examining collider constraints on superpartners would cite the definition when mapping Recognition Science predictions to LHC null results. It is introduced as a plain structure whose fields directly transcribe the three falsification scenarios listed in the module documentation.
claimA structure whose fields are the propositions that exact supersymmetry is realized, that bosons and fermions share identical J-cost, and that the eight-tick phase distinction fails, together with the implication that exact supersymmetry yields falsehood.
background
In Recognition Science the J-cost of a particle is fixed by its rung on the phi-ladder and by the eight-tick octave (T7) that assigns distinct phases to bosons and fermions. The module SupersymmetryBreaking shows that this phase offset produces different average J-costs for the two sectors, thereby breaking supersymmetry spontaneously and pushing superpartner masses above the electroweak scale. The local theoretical setting is the SM-010 derivation that accounts for the non-observation of superpartners at low energies; the eight-tick forcing chain supplies the phase distinction used here.
proof idea
The declaration is a direct structure definition whose four fields are introduced without proof or computation. No lemmas are applied; the content is exhausted by the three propositions and the implication that exact supersymmetry yields falsehood.
why it matters in Recognition Science
This definition supplies the falsification interface for the supersymmetry-breaking claim inside the Standard Model module. It records the precise outcomes that would refute the J-cost asymmetry mechanism derived from the eight-tick octave. The structure therefore links the Recognition Science forcing chain (T7) to collider phenomenology and marks the boundary condition for the SM-010 derivation.
scope and limits
- Does not establish that supersymmetry is broken in nature.
- Does not compute the mass splitting between superpartners.
- Does not reference specific experimental bounds from the LHC.
- Does not prove the J-cost distinction arising from the eight-tick structure.
formal statement (Lean)
239structure SUSYBreakingFalsifier where
240 exact_susy_found : Prop
241 same_jcost : Prop
242 phase_wrong : Prop
243 falsified : exact_susy_found → False
244
245end SupersymmetryBreaking
246end StandardModel
247end IndisputableMonolith