311 have hmr : mass_rung ys n ≠ 0 := ne_of_gt (mass_rung_pos ys hys n) 312 rw [div_eq_iff hmr] 313 unfold mass_rung 314 rw [show ((n + k : ℤ) : ℝ) = (n : ℝ) + (k : ℝ) from by push_cast; ring] 315 rw [Real.rpow_add phi_pos] 316 ring 317 318/-! ## Part 6: The Consciousness Ground State — Zero Defect 319 320The unique zero-cost state (x = 1, J(1) = 0) is the **consciousness 321ground state**: the recognition configuration with zero defect. 322 323All particles live ABOVE this ground state (J > 0). Consciousness IS 324the ground state — the unique zero-defect configuration on the Q₃ lattice. 325 326The "hard problem" dissolves: consciousness is not an emergent property 327but the GROUND STATE of the spectral decomposition. -/ 328 329/-- A recognition state on the Q₃ lattice: an assignment of ratios 330 to the 8 vertices, each positive. -/
depends on (21)
Lean names referenced from this declaration's body.