IndisputableMonolith.Materials.RoomTSuperconductorCandidate
The module in the Materials domain defines the reference critical temperature in Recognition Science native units as the dimensionless value 1, calibrated to MgB2 at rung 0. Researchers modeling superconductor scaling in the Recognition framework cite these when deriving rung-dependent values on the phi-ladder. The module consists of core definitions followed by lemmas verifying positivity and monotonicity, all built directly on the imported constants.
claimThe reference critical temperature equals 1 in dimensionless RS-native units, calibrated such that MgB₂ corresponds to rung 0 on the phi-ladder; the critical temperature at rung r is obtained by scaling from this reference.
background
The module operates in the Materials domain and imports the fundamental RS time quantum τ₀ = 1 tick from IndisputableMonolith.Constants. It introduces the reference critical temperature as the RS-native dimensionless value 1, calibrated such that MgB₂ sits at rung 0. Additional definitions cover the critical temperature at arbitrary rungs together with lemmas on positivity and strict increase.
proof idea
This is a definition module, no proofs. Its structure consists of a sequence of definitions for the reference value and rung-dependent scaling, followed by lemmas that verify basic algebraic properties of the scaling.
why it matters in Recognition Science
The module supplies the reference critical temperature used in material property calculations throughout the Recognition Science framework. It calibrates the Tc scale to known materials, supporting phi-ladder applications to superconductor candidates and linking to the broader forcing chain for physical quantities.
scope and limits
- Does not derive the reference value from first principles.
- Does not compute explicit Tc for specific room-temperature candidates.
- Does not connect to constants such as alpha or G.