CETΩ: The causal-informational completion of gravity

In this paper, we present CET[Formula: see text], a unified framework that completes gravity through a causal-informational principle. The theory reconciles general relativity and quantum mechanics within a strictly four-dimensional, nonlocal, and causal formulation. At its core lies an analytic and retarded kernel [Formula: see text], derived from a discrete causal network, which governs the propagation of the gravitational and scalar sectors. A scalar field, the texon, emerges as the effective excitation of causal connectivity and accounts simultaneously for dark matter and dark energy without introducing extra degrees of freedom or breaking locality. The formalism ensures analyticity, spectral positivity, and holographic completeness: the kernel admits a Stieltjes representation with positive spectral density [Formula: see text], guaranteeing unitarity and causal propagation. At cosmological scales, CET[Formula: see text] predicts stable inflationary dynamics with [Formula: see text]–[Formula: see text], tensor-to-scalar ratio [Formula: see text]–[Formula: see text], and running [Formula: see text]–[Formula: see text], consistent with Planck data. Black hole ringdown frequencies deviate by [Formula: see text] from general relativity, within the detectable range of next-generation gravitational-wave observatories. The theory remains falsifiable within the causal parameter window [Formula: see text], where [Formula: see text] sets the mean causal correlation length of the texonic field. CET[Formula: see text] thus provides a complete, causal and informational foundation for spacetime dynamics, recovering Einstein gravity in the infrared while extending its validity to the quantum and cosmological domains.