high_tc_implies_phi_lt_two
plain-language theorem explainer
The theorem shows that high-temperature superconductivity from the ledger forces the golden ratio to obey phi < 2. Condensed-matter theorists using Recognition Science to bound material parameters would cite this result when constraining phi in the phi-ladder mass formula. The proof is a direct term projection that extracts the right conjunct of the defining proposition.
Claim. If a system satisfies the ledger condition for high-temperature superconductivity, then the golden ratio obeys $phi < 2$.
background
Recognition Science obtains all constants from the J-cost functional equation, with phi fixed as the self-similar solution (T6). The module models high-Tc superconductivity through a ledger whose defining property is the conjunction 1 < phi and phi < 2. This supplies the local setting for structure theorems once the upstream definition high_tc_superconductivity_from_ledger is assumed.
proof idea
The proof is a one-line term that selects the second conjunct of the hypothesis high_tc_superconductivity_from_ledger.
why it matters
The result supplies the upper bound on phi required by the high-Tc ledger structure and pairs with the sibling lower-bound theorem. It constrains phi within the forcing chain (T5-T8) so that derived constants such as G = phi^5 / pi remain consistent with the observed alpha band. No open scaffolding questions are closed here.
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