Three Fermion Generations Forced by a Coupled Dirac–Lambda Capacity Constraint
Authors: Jeremy, Rodgers
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Role: Three Fermion Generations Forced by a Coupled Dirac–Lambda Capacity Constraint
Supported Problems
Standard Model of Particle Physics
Law-level derivation of the Standard Model gauge group, fermion content, anomaly cancellation, and family multiplicity from Tier–0 closure and admissibility.
Why Exactly Three Fermion Generations?
The generation count is not a free input. In the coupled Dirac–Λ framework, a double-squeeze mechanism forces N = 3 uniquely: N ≤ 2 is excluded by the CP-capacity barrier, while N ≥ 4 is excluded by load–cap crossing in the capacity inequality. Exactly three generations are admissible.