A Unified Theory of Space-Time as a 4D Euclidean Dynamic Manifold Emergent from Quantum Entanglement with Temporal Symmetry, Gauging of Inversions, Causal Discretization, and Specific Predictions for LIV/Damping

This preprint proposes a unified theory where the universe is a 4D Euclidean dynamic manifold emergent from quantum entanglement, with time as a spatial coordinate symmetric to x, y, z, elasticity derived from information gradients, gauging of space-temporal inversions (PT reversal) for robust causality, spacetime from quantum information, and causal discretization via sets for improved falsifiability. Physical phenomena, including Lorentz invariance, quantum behavior, and gravity, emerge as perceptual illusions from projections onto a biased +t slice. Subtle Lorentz invariance violations align with 2025 GRB 221009A evidence (e. g. , high-energy photon delays suggesting quadratic LIV), resolving paradoxes like the arrow of time, Hubble tension, and black hole singularities. Elasticity emerges from entanglement (K = d² Sₑnt / d ε²), not fundamental. The theory unifies forces via manifold deformations and offers testable predictions: temporal asymmetries in gravitational waves with entanglement damping, JWST dark matter lensing anomalies (~0. 1 arcsec wavy arcs), elevated UHECR thresholds (>10²0 eV) evading the GZK cutoff (consistent with IceCube 2025 nondetections of EHE neutrinos), decoherence induced by entanglement, CPT violations (testable with IceCube-Gen2), and stochastic CMB from sets (CMB-S4). Consistency with LIGO (no firm asymmetries in O4/O5), JWST, and EHT data is shown. Ethics: This work was developed with collaborative assistance from Grok 4, an AI built by xAI, which provided suggestions, refinements, and code generation based on the author's inputs. All core ideas and final decisions are the author's original contributions. See the attached PDF for full derivations and figures.