Result · Physics
Frontier problem
Resolved
Why Three Generations?
The Standard Model contains three generations of quarks and leptons, but gives no explanation for why three rather than two, four, or more. The τ-framework deri…
Physics
High impact frontier problem
PART
Book IV
Overview
The Standard Model contains three generations of quarks and leptons, but gives no explanation for why three rather than two, four, or more. The τ-framework derives this from the first homology group H₁(τ³; ℤ) ≅ ℤ³, which has rank exactly three.
Result Statement
Three generations follow from H₁(τ³; ℤ) ≅ ℤ³ — the first homology of the fibered product has rank 3. This is a topological invariant, not a parameter. Status: Resolved.