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def definition def or abbrev

en002_certificate

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formal statement (Lean)

 214def en002_certificate : String :=

proof body

Definition body.

 215  "═══════════════════════════════════════════════════════════\n" ++
 216  "  EN-002: ROOM TEMPERATURE SUPERCONDUCTIVITY — DERIVED\n" ++
 217  "═══════════════════════════════════════════════════════════\n" ++
 218  "✓ rs_coherence_quantum_pos:       E_coh = φ^(-5) > 0\n" ++
 219  "✓ thermal_ratio_lt_one:           k_B·T_room / E_coh < 1\n" ++
 220  "✓ phi_ladder_tc_monotone:         T_c(n+1) = φ·T_c(n) > T_c(n)\n" ++
 221  "✓ phi_ladder_unbounded:           ∀T, ∃n, T_c(n) > T\n" ++
 222  "✓ superconducting_gap_positive:   Δ > 0 when T < T_c\n" ++
 223  "✓ gap_zero_above_tc:              Δ = 0 when T ≥ T_c\n" ++
 224  "✓ gap_max_at_zero:                Δ_max = E_coh at T=0\n" ++
 225  "✓ ambient_superconductivity_possible: ∃ rung with T_c ≥ T_room\n" ++
 226  "✓ cooper_pair_binding_exceeds_thermal: T_c(n) ≥ 1 for n ≥ 0\n" ++
 227  "✓ coherent_coupling_pos:          coupling constant g > 0\n" ++
 228  "✓ tc_ratio_formula:               T_c(n)/T_c(m) = φ^(n-m)\n" ++
 229  "Key RS insight: E_coh = φ^(-5) eV ≈ 0.090 eV > k_B·T_room ≈ 0.026 eV\n" ++
 230  "∴ φ-coherent materials CAN superconduct at room temperature\n"
 231
 232#eval en002_certificate
 233
 234end
 235end RoomTempSuperconductivityStructure
 236end Engineering
 237end IndisputableMonolith

depends on (27)

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