Kinemetric-Extended Field Equations (KEFE): A Unified Viscoelastic Vacuum Theory of Quantum Mechanics, Gravity and Cosmology

This paper formalizes the Kinemetric-Extended Field Equations (KEFE), a unified theoretical framework that replaces the empty-manifold paradigm with a physical "Vacuum Rheology." By modeling the vacuum as a discrete, viscoelastic Zero-Point Field (ZPF) with a granularity scale (D0) of 1.616e-35 m, the KEFE framework identifies the mechanical properties of the vacuum as the common source of gravitation, quantum mechanics, and gauge interactions. Key highlights and resolutions provided in this work include: Emergent Quantum Mechanics: Establishes a hydrodynamic foundation for QM, deriving the Planck constant (h-bar) as the quantized action of a single ZPF cell and reinterpreting the complex unit 'i' as the visco-elastic phase-lag between vacuum stress and strain. Calibration of Gauge Interactions (QED/QCD): Calibrates the Standard Model ab initio by reinterpreting gauge symmetries as the torsional, shear, and compressional modes of the physical ZPF medium. The "QCD-Snap" defines the hadronic range (1.4 fm) as a structural fracture limit of the vacuum. The Hubble Tension Resolved: Explains the 5-sigma discrepancy via Thermal-Inertial Feedback (TIF), accounting for a 15.5% higher vacuum viscosity in the early universe and establishing a corrected cosmic age of 13.43 Gyr. MOND Acceleration Scale (a0): Derives a0 ab initio as a Kinemetric Threshold (a0 = c*H0 / 2pi), reinterpreting "Dark Matter" effects as non-linear vacuum-matter coupling ("Informational Slip"). Vacuum Energy Disaster: Resolves the 122-order-of-magnitude discrepancy by reinterpreting the cosmological constant as residual relaxation stress of the ZPF mesh rather than bulk energy density. Singularity Resolution: Introduces Asymptotic Mass Freedom (AMF), where the coupling between matter and geometry vanishes at the Planck density, replacing mathematical singularities with stable, finite-density granular cores. By replacing dark-sector hypotheses with the dynamical properties of the viscoelastic vacuum itself, KEFE offers a testable, parsimonious, and unified roadmap for the next generation of physical inquiry.