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

Abstract

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—reflects infalling phase signals as quantized echoes, resolving the black hole information paradox: information is preserved via a specific physical mechanism rather than destroyed. Using the coupling constants established in the parent DDIC framework, we derive an exact, closed-form expression for the coarse-graining normalization relating the model's connectivity tensor to the ordinary stress-energy tensor. The model's echo entropy, defined holographically ( , following the Bekenstein bound), matches the black hole's own entropy to within 0.14% — a level of quantitative agreement not typically achieved in comparable information-paradox proposals. The model's calibrated echo-delay parameter (ζ≈338) lies within a factor of ∼2 of the value predicted by the independent fast-scrambling conjecture (Sekino & Susskind, 2008). The same bit-counting logic yields a specific, distinctive horizon-area-quantization coefficient (α=4ln2≈2.77, versus the original Bekenstein proposal of 8π), now directly testable via gravitational-wave ringdown measurements of black hole horizon area.