superpartners
plain-language theorem explainer
Definition enumerates four example superpartner pairs with mass splittings in GeV. Model builders studying J-cost asymmetries in the Standard Model cite it to anchor SUSY breaking discussions against LHC data. Construction is a direct list literal of SuperPair structures with no computation or lemmas.
Claim. Define superpartners as the list of structures each holding a boson name, its fermionic partner name, and a real mass splitting: (selectron, electron, 1000), (squark, quark, 1500), (gluino, gluon, 2000), (photino, photon, 500) with values in GeV.
background
SuperPair is the structure that records a boson name, a fermion name, and the real-valued mass splitting between them. The module places this definition inside the Recognition Science account of supersymmetry breaking, where J-cost differs between bosonic and fermionic sectors because of the eight-tick phase structure. Upstream results include the unification theorem that supplies the three Aristotelian conditions on any recognizer and the PhiForcingDerived structures that calibrate J-cost.
proof idea
Direct list literal construction of four SuperPair values; no lemmas or tactics are invoked beyond the structure definition itself.
why it matters
Supplies the concrete data consumed by the softBreaking definition and the susy_breaking_scale theorem. It instantiates the Recognition Science claim that J-cost asymmetry across the phi-ladder spontaneously breaks supersymmetry, consistent with the eight-tick octave and the requirement that D equals three spatial dimensions. It touches the open question of whether the listed splittings remain compatible with current LHC bounds.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.