Chrono-Reflective Singularity: A DDIC-Based Redefinition of Black Hole Interiors and Cosmological Nesting

We introduce a Density-Driven Internal Contraction (DDIC)-based model of black hole interiors, in which a Chrono-Reflective Singularity (CRS), a boundary where microcell contraction saturates, encodes infalling phase information in the lattice memory; the model proposes a deterministic mechanism by which black hole information is preserved rather than destroyed. The echo entropy, defined holographically (S_echo ∝ A/l_P², following the Bekenstein bound), equals the black hole's own entropy by construction. The calibrated echo-delay parameter (ζ ≈ 338, fitted to a tentative echo signal) agrees with the fast-scrambling time for a 3.7 M☉ remnant to within 6.5%. Because the CRS lies inside the horizon, an observable echo requires a reflecting boundary at or outside the event horizon, which the framework does not yet supply (Section 5.4). The same bit-counting logic gives the Bekenstein–Mukhanov horizon-area-quantization coefficient α = 4 ln 2 ≈ 2.77. Beyond saturation, the lattice nests into a new submanifold, supporting a cyclic, nested cosmology. A cubic Landau free energy provides a candidate first-order origin for this transition, whose stochastic gravitational-wave background would peak at f ≳ 2 × 10⁻⁷ Hz, at the upper edge of the pulsar-timing band.