Black Hole Interior from Quantum State Dynamics: Singularity Resolution and Silence of the Bounce in the Cosmological Braking Theory

We extend the density matrix framework of the Cosmological Braking Theory (CBT) to the interior of Schwarzschild black holes. The fundamental equation ρ̈ = −2V′(P)ρ on the Bures–Fisher–Rao manifold, combined with the identification X_BH = r_s/r as the black hole analogue of the CBT cosmological variable X = Ω_f(1+z)³, yields a description of the black hole interior without singularity. The horizon condition X_BH = 1 at r = r_s corresponds exactly to the CBT quantum rebound condition X = 1 at z_c = 6.539: the event horizon is structurally identical to the holographic temporal boundary of the cosmological sector. Inside the horizon (X_BH > 1), the conformal factor Φ(r) = 1/D(X_BH) decreases toward zero as r → 0, while the effective mass m_eff²(X_BH) → −3κ_BH remains finite at the classical singularity. The equation of motion for δΦ is well-defined everywhere, including at r = 0. Three results follow. (1) The classical singularity is replaced by a state of maximal decoherence: Φ → 0 (zero conformal volume), m_eff² → −3κ_BH (finite tachyonic mass), S_vN → S_max (finite maximum entropy). The density matrix ρ(λ) evolves continuously through this state. (2) The Bogoliubov WKB calculation shows that the bounce at S_vN = S_max is silent: the WKB integral diverges as x → x_min = λ_min/r_s, giving |β_k|² ≈ exp(−1.52×10⁶) ≈ 0 for a 10 M☉ black hole. Information is conserved in ρ(λ) but does not re-emerge as radiation. (3) A structural contrast emerges between the black hole interior and the cosmological sector: at z_c = 6.539, m_eff² = 0 exactly, making the cosmological BKT rebound traversable in both directions of internal time λ — admitting an anti-universe on the λ < λ_c side. Inside a black hole, the effective potential grows as 1/x³, creating an impenetrable WKB barrier. Black holes do not spawn universes in the CBT framework: the Smolin conjecture is incompatible with this approach. All results use α = 1/137 with no free parameter beyond the black hole mass M. The Schwarzschild metric is used as input; a derivation of the interior metric from the EOM alone remains as future work.