Beyond the Big Bang and the Big Bounce: The Causal-Informational Cosmology of CET Ω

General Relativity (GR) plus quantum field theory on curved spacetime successfully describes the large-scale universe, yet the standard BB extrapolation is geodesically incomplete, featuring an initial singularity where curvature invariants and energy densities diverge [1, 2]. Inflation resolves the horizon/flatness phenomenology but leaves open the foundational puzzles of initial low entropy and the global arrow of time, while introducing model-dependent priors and potential issues (e.g. eternal inflation, measure problems) [3–5]. Big Bounce paradigms aim to resolve the singularity via a contracting phase followed by a bounce; however, different implementations face structural issues (see Section 3). We develop CET Ω, a causal-informational completion that removes singularities without violating causality or positivity. The completion occurs via a texonic microstructure encoded in a retarded entire kernel K−1(□R), yielding a finite causal bound and a reversible white-phase inside ultra-dense regions. This unifies early-universe and black-hole interiors within a single predictive mechanism and leads to precise, testable signatures (see Sectio