The Resonant Vacuum Condensate (RVC) Framework: Collected Preprints

⚠️ Redacted | Notice of Model Update: > RVC (and previous editions) Math Does Not Work. The .481 is pre-predicted by using the BAO to calculate itself. My apologies.

Abstract: The Resonant Vacuum Condensate (RVC) Framework

Version 2.0 Update: This version updates the mathematical formalisms regarding the Kinematic Resonance Tensor ($Z_{\mu\nu}$) and elastic strain energy to ensure strict compliance with the contracted Bianchi identity and local energy-momentum conservation. It replaces the concept of "geometric drag" with "Topological Phase Decoherence" to perfectly align with the recent dichotomy between PTA detections and LVK non-detections of the stochastic gravitational-wave background.

This repository contains the foundational preprints for the Resonant Vacuum Condensate (RVC) model, a kinematic-functionalist cosmological framework. The RVC resolves critical anomalies in standard $\Lambda$CDM cosmology by discarding the assumption of a featureless Euclidean vacuum and the zero-dimensional point particle. Instead, the universe is modeled as an inviscid continuous metric, where mass and quantum spin are emergent geometric properties defined as localized macroscopic torsion (topological defects). By unifying General Relativity with the antisymmetric affine connection of Einstein-Cartan Theory, the RVC demonstrates that mass, gravity, and cosmic expansion are intrinsically geometric phenomena. The model formally replaces the need for collisionless dark matter and static dark energy with the elastic strain energy of the displaced metric and a globally conserved Kinematic Resonance Tensor ($Z_{\mu\nu}$).

Included Manuscripts:

1. Topological Torsion and the Role of Geometric Impedance in Cosmology

Demonstrates how localized macroscopic torsion forces the continuous metric to physically displace, generating elastic metric tension. This paper shows that the elastic strain energy stored within this displaced metric perfectly provides the gravitational lensing and rotational effects historically attributed to dark matter halos. Furthermore, the macroscopic chirality of these topological defects provides a natural, non-particulate mechanism for the rotation of photon polarization planes (cosmic birefringence).

2. A Framework for Understanding the Hubble Tension

Derives a baseline $0.481 \text{ Gyr}$ periodic metric oscillation calibrated against the Baryon Acoustic Oscillation (BAO) sound horizon. By applying a $10^{-4} \text{ Mpc}^{-1}$ topological phase shift to local kinematics, this paper introduces the Kinematic Resonance Tensor ($Z_{\mu\nu}$) to formally derive the observed local expansion rate of $73.28 \text{ km/s/Mpc}$, dynamically resolving the Hubble Tension without violating the contracted Bianchi identity. Additionally, it models the high-frequency topological phase decoherence of the stochastic gravitational-wave background, cleanly reconciling the recent low-frequency detections by Pulsar Timing Arrays with the anomalous non-detections by the LIGO/Virgo/KAGRA collaboration.

3. Topological Cavitation and the JWST High-Redshift Galaxy Anomaly

Addresses the anomalous rapid formation of supermassive galaxies at extreme high redshifts ($z > 10$) observed by the James Webb Space Telescope. This paper introduces "Topological Cavitation"—a geometric instability where extreme primordial dissonance acceleration caused the planar metric to structurally fail. This macroscopic torsion shedding resulted in the spontaneous, top-down generation of massive topological defects, entirely bypassing the thermodynamic constraints of the Eddington accretion limit.

(Note: The Resonant Vacuum Condensate model represents a complete structural evolution of the author's theoretical framework and officially supersedes all prior manuscripts related to the Resonant Lattice Model).