pith. sign in
def

room_temperature_superconductivity_from_ledger

definition
show as:
module
IndisputableMonolith.CondensedMatter.RoomTemperatureSuperconductivityStructure
domain
CondensedMatter
line
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plain-language theorem explainer

The declaration defines the room-temperature superconductivity ledger condition to be identical to the high-Tc ledger proposition that 1 < phi < 2. Condensed-matter researchers using the Recognition Science ledger would cite this when chaining ambient superconductivity claims to the phi interval. The implementation is a one-line definition that directly copies the high-Tc proposition.

Claim. The room-temperature superconductivity condition from the ledger is the proposition that the golden ratio satisfies $1 < phi < 2$.

background

In the CondensedMatter module the high-Tc superconductivity from ledger is introduced as the proposition $1 < phi < 2$. This definition sits inside the room-temperature superconductivity structure and imports the HighTcSuperconductivityStructure module. The engineering counterpart states that in RS-native units the coherence quantum $E_{coh} = phi^{-5}$ supplies pairing energy for ambient superconductivity in phi-coherent materials.

proof idea

The definition is a one-line wrapper that sets room_temperature_superconductivity_from_ledger equal to high_tc_superconductivity_from_ledger.

why it matters

The definition supplies the hypothesis for the downstream theorem room_temperature_implies_high_tc, which extracts the high-Tc ledger condition, and for room_temperature_superconductivity_structure. It thereby links the condensed-matter ledger to the fundamental room-temperature superconductivity theorem in the Engineering module, where the phi-ladder and coherence quantum appear. The step closes part of the structural implication between ambient and high-Tc regimes.

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