A Unified Theory of Space-Time as a 4D Euclidean Dynamic Manifold with Temporal Coordinate Symmetry

This preprint proposes a unified theory where the universe is a 4D Euclidean dynamic manifold with time as a spatial coordinate symmetric to x, y, z. 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, resolving paradoxes like the arrow of time, Hubble tension, and black hole singularities. The theory unifies forces via manifold deformations and offers testable predictions: temporal asymmetries in gravitational waves, JWST dark matter lensing anomalies, and elevated UHECR thresholds. Consistency with LIGO, 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.