Quantum Information Copy Time: Microscopic Construction, Fixed Points, Gauge Cohomology and Predictive Phenomenology

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Abstract

We present a complete and internally consistent formulation of the Quantum Information Copy Time (QICT) framework, from microscopic dynamics to phenomenology. At the microscopic level, we construct an explicit local lattice model with a copy automorphism group acting on gapped code subspaces. We prove the emergence of an effective Lorentzian causal structure and identify the associated light-cone velocity. On this background we formulate a functional renormalization group (FRG) flow for an effective average action containing gravity, a pseudo-Nambu–Goldstone boson (PNGB) dark matter candidate, and a minimal fermion sector, and we write the β-functions in a standard dimensionless form. We analyze the fixed-point structure and show the existence of a non-Gaussian ultraviolet fixed point with a finite number of relevant directions. Gauge symmetry is incorporated via a cohomological classification of admissible gauge data; we exhibit a microscopic toy model in which a non-trivial 2-cocycle leads to an emergent chiral effective field theory with anomaly cancellation. Finally, we implement a phenomenological pipeline from ultraviolet QICT parameters to low-energy observables in the dark matter, neutrino, and cosmological sectors. Within this pipeline we obtain predictive correlations between the PNGB mass and couplings, neutrino CP violation, and late-time cosmology that are quantitatively compatible with current data and falsifiable with upcoming experiments.

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