referenceTc
plain-language theorem explainer
Reference T_c is defined as the dimensionless constant 1 in RS-native units, calibrated to MgB₂ at rung 0 on the phi-ladder. Materials researchers modeling hydride superconductors cite this base to generate the sequence of predicted critical temperatures via multiplication by successive powers of phi. The definition is a direct constant assignment with no lemmas or computation required.
Claim. Let the reference critical temperature satisfy $T_c^ref := 1$ (dimensionless in RS units), calibrated so that MgB₂ corresponds to rung 0 on the BCS pairing-strength phi-ladder.
background
The module develops T_c predictions for hydrogen-dominant structures by combining the BCS pairing-strength phi-ladder with phonon-resonance design. Each integer-rung increase in pairing strength multiplies T_c by exactly phi, with the explicit ladder running from rung 0 (MgB₂ at 39 K) through rung 5 (room-temperature candidate above 300 K). Upstream rung definitions supply the ladder indexing: one for fermions in RSBridge.Anchor, another for ore classes in AsteroidOreSpectroscopy, and sector-specific versions in AnchorPolicy and Masses.RSBridge.Anchor.
proof idea
Direct constant definition assigning the value 1; no lemmas or tactics are applied.
why it matters
This base anchors the T_c scaling inside the RoomTSuperconductorCandidate module and is used by tcAtRung to compute T_c(k) = referenceTc * phi^k together with the positivity theorem tcAtRung_pos. It fills the reference step of the phi-ladder prediction chain (RS_PAT_008–010) that places room-temperature operation at rung 5, consistent with the T5–T8 forcing sequence and Recognition Composition Law. The declaration touches the open structural question of realizing rung-5 pairing strength at ambient pressure.
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