susyViability
plain-language theorem explainer
Recognition Science defines SUSY viability as constrained but not excluded, with spontaneous breaking arising from J-cost asymmetry between boson and fermion sectors. Model builders evaluating split or stealth SUSY against LHC data would cite this when checking consistency with the eight-tick phase structure. The definition is a direct string assignment that records the outcome of the J-cost comparison.
Claim. Supersymmetry remains viable in Recognition Science when the breaking scale exceeds 1 TeV, with spontaneous breaking induced by the distinct J-costs of bosons and fermions that follow from their differing 8-tick phases.
background
The module SM-010 sets the target of deriving supersymmetry breaking from J-cost. Supersymmetry pairs each boson with a fermionic partner, yet exact SUSY would force equal masses and immediate detection, which is ruled out. Recognition Science supplies the asymmetry through the 8-tick phases defined by phase(k) = k π /4 for k = 0 to 7, so that boson and fermion sectors acquire different J-costs. Upstream, PhiForcingDerived.of supplies the structure of J-cost while EightTick.phase supplies the periodic phases with period 2π.
proof idea
This is a one-line definition that directly assigns the string value summarizing the viability conclusion.
why it matters
The definition records the conclusion of the SM-010 target in the StandardModel module. It invokes the eight-tick octave (T7) to explain why SUSY, if present, must break spontaneously without fine-tuning. No downstream theorems currently depend on it, leaving open the quantitative extraction of LSP masses or breaking scales from the phi-ladder.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.