module module high

`IndisputableMonolith.Engineering.RoomTempSuperconductivityStructure`

The module Engineering.RoomTempSuperconductivityStructure collects definitions for the RS coherence quantum and superconductivity parameters. Condensed-matter researchers applying Recognition Science to room-temperature superconductivity would reference these when computing critical temperatures on the phi-ladder. It consists entirely of definitions and simple positivity statements.

claim$E_{coh} = phi^{-5}$ (RS-native units) $approx 0.090$ eV, the fundamental pairing energy scale; related objects include thermal ratios at room temperature, critical-temperature rungs, and superconducting gaps.

background

The module sits in the Engineering domain and imports the RS time quantum tau_0 = 1 tick from Constants together with cost functions. It introduces the coherence quantum as the fundamental pairing energy scale, along with thermal-ratio functions, critical-temperature rungs on the phi-ladder, and gap expressions. The supplied doc-comment states that E_coh equals phi^{-5} and equals approximately 0.090 eV.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the coherence energy scale that underpins room-temperature superconductivity models and connects to the phi-ladder (T6) and J-uniqueness (T5) steps of the forcing chain. No parent theorems are listed among the used_by relations.

scope and limits

Does not prove existence of room-temperature superconductors in any material.
Does not derive numerical predictions for specific compounds.
Does not interface with experimental data or measurements.
Does not address spatial dimension D=3 or the eight-tick octave directly.

depends on (2)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Cost module_import

declarations in this module (24)

def E_coh L51
theorem rs_coherence_quantum_pos L54
def thermal_ratio_room_temp L61
theorem thermal_ratio_lt_one L65
theorem thermal_ratio_pos L70
def T_c_rung L79
theorem tc_rung_pos L82
theorem phi_ladder_tc_monotone L88
theorem phi_ladder_unbounded L97
def superconducting_gap L110
theorem superconducting_gap_positive L114
theorem gap_zero_above_tc L124
theorem gap_max_at_zero L131
def ambient_sc_condition L140
theorem ambient_superconductivity_possible L144
theorem cooper_pair_binding_exceeds_thermal L152
structure CoherenceCoupling L165
theorem coherent_material_has_positive_tc L175
theorem coherent_coupling_pos L179
theorem room_temperature_superconductivity_from_ledger L187
theorem room_temp_superconductivity_structure L197
def predicted_tc_ratio L205
theorem tc_ratio_formula L208
def en002_certificate L214