The Observer's Distortion Coefficient: Resolving the Hubble Tension, Galactic Rotation Curves, and Gravitational Lensing via Golden Ratio Information Packing and Nested Relativistic Latency

Abstract

Modern cosmology and quantum mechanics are constrained by structural inconsistencies, requiring arbitrary physical constructs such as Dark Matter, Dark Energy, and wave-function collapse to reconcile continuous mathematics with empirical observations . This paper presents a unified digital physics framework, modeling physical reality as a discrete computational rendering execution loop running on a non-local grid geometry (the NavMesh). By enforcing an information-theoretic data-packing constraint derived from the Golden Ratio () , we extract the universe's hardware base clock speed, the Server Tick ( seconds). We formulate a Unified Rendering Equation () that integrates global expansion and local general relativity as nested computational latencies , deriving the terrestrial observer's processing rate ( seconds) . Based on this framework, we resolve the Hubble Tension as an algorithmic artifact of localized clock drift and redefine galactic rotation curves as a "Lazy Evaluation" optimization below the floating-point resolution floor (). Furthermore, the framework mathematically derives the exact radii of extreme gravitational lensing events (e.g., Einstein Rings and the Einstein Cross) directly from baryonic mass limits, exposing continuous dark matter halos as purely algorithmic bounding-box pathfinding artifacts. Finally, we propose a definitive, falsifiable experiment: measuring the discrepancy of quantum "negative delay" time-stamps between Earth's surface and orbit (ISS), presenting a direct challenge to the global physics community to test this model's quantitative predictions. Furthermore, by applying a 2D screen-space projection algorithm to macroscopic lensing, the framework accurately predicts the Einstein ring radii of SLACS elliptical galaxies, achieving an empirical goodness-of-fit of completely devoid of dark matter parameters.