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
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Physics cascade
In plain language
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…
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: Internally addressed.