pith. sign in
theorem

muon_g_minus_two_implies_phi_pos

proved
show as:
module
IndisputableMonolith.Experimental.MuonGMinusTwoStructure
domain
Experimental
line
15 · github
papers citing
none yet

plain-language theorem explainer

The result shows that assuming the muon g-2 anomaly structure arises from the ledger forces positivity of the golden ratio phi. Experimental physicists linking precision muon magnetic moment data to Recognition Science constants would cite this link. The proof is a direct one-line term that returns the defining hypothesis.

Claim. If the muon g-2 anomaly structure follows from the ledger, then the golden ratio satisfies $0 < phi$.

background

The Experimental.MuonGMinusTwoStructure module defines muon_g_minus_two_from_ledger as the proposition 0 < phi. This definition appears after importing Mathlib and Constants, placing the claim inside the Recognition Science setting where phi is the self-similar fixed point obtained from the unified forcing chain. The upstream result muon_g_minus_two_from_ledger supplies the exact content of the hypothesis.

proof idea

The proof is a one-line wrapper that returns the hypothesis h. No additional lemmas or tactics are applied; the term directly matches the target because the hypothesis is defined to be 0 < phi.

why it matters

This theorem supplies the positivity of phi required by the Recognition Science constants once the muon g-2 ledger assumption is granted. It sits downstream of the T5 J-uniqueness and T6 phi fixed-point steps in the forcing chain. No downstream results currently depend on it.

Switch to Lean above to see the machine-checked source, dependencies, and usage graph.