DOI: 10.5281/zenodo.18808348
title: The Integrated Toroidal-Syntropic Model (ITSM): A Superfluid Framework for Cosmological Coherence and Metric Engineering Version: 2.1 (Safe Public Core)

description: The Integrated Toroidal-Syntropic Model (ITSM): A Superfluid Framework for Cosmological Coherence and Metric Engineering

Version: 2.1 (Safe Public Core)Author: Brendon Boyd, Principal ArchitectAffiliation: Absolute Truth Research GroupDate: February 2026License: Creative Commons Attribution-ShareAlike 4.0 International (CC-BY-SA 4.0)

I. AbstractThis repository serves as the definitive public archive for the theoretical foundation of the Integrated Toroidal-Syntropic Model (ITSM). The framework provides a deterministic, geometric resolution to the primary observational crises in contemporary cosmology, including the 5\sigma Hubble Tension and the "Impossible Galaxy" maturation problem identified by the James Webb Space Telescope (JWST).[1, 1] By redefining the physical vacuum as a structural Superfluid Plenum characterized by toroidal geometry (\chi = 2\pi), this work derives the empirical acceleration threshold (a_0) as a physical phase transition of vacuum drag rather than a modification of gravitational law.[1, 1]

II. The Three-Variable AxiomThe ITSM replaces the closed-system "battery" paradigm of \LambdaCDM with an open Toroidal Throughput model. The manifold is governed by three primary variables: * M_b (Baryonic Mass): The mechanical displacement mechanism (the "Stirrer") providing local disruption in the superfluid vacuum.[1, 1] * H_0 (Hubble Flow): The global volumetric throughput or "Current" of the plenum.[1, 1] * \chi = 2\pi (Toroidal Geometry): The geometric constant defining the 3-sphere manifold’s yield.[1, 1]

III. Kinematic Derivations: The Torsional Yield Point (a_0)The ITSM demonstrates that the phenomena currently attributed to non-baryonic "Dark Matter" are emergent artifacts of matter "locking" to the inherent spin of the plenum superfluid at low accelerations.[1, 1] The Boyd-Yield Threshold is derived as a direct geometric ratio:\begin{equation}a_0 = \frac{c \cdot H_0}{2\pi} \approx 1.08 \times 10^{-10} \text{ m/s}^2\end{equation}This derivation is empirically validated by the relative velocity excesses observed in Gaia DR3 wide-binary systems.

IV. Cosmological Evolution: Syntropic Divergence (\Sigma_{syn})Expansion is identified as the geometric consequence of the intake of ordered information (Syntropy) from the plenum.[1] This provides the causal mechanism for rapid early-universe maturation. Syntropic Divergence scales with the volume expansion of the toroid [1]:\begin{equation}\Sigma_{syn} \propto \frac{1}{(1+z)^3}\end{equation}This replaces the Cosmological Constant (\Lambda) and accounts for the high-redshift mature galaxies identified by JWST.[1, 1]

V. Applied Frameworks: Project Ark-CoreThis core archive includes the technical protocols for Kinetic Neutralization & Conversion (KNC) [1, 1]: * Torsional Wake Detection: Monitoring vacuum viscosity to identify inbound masses before they are visible via light.[1] * Metric Synchronization: Achieving a stationary state (\Delta v = 0) relative to entropic threats via frequency-matched Toroidal Metric Bubbles.[1, 1] * The Inertial Sieve: A metric filter utilizing a \chi=2\pi bubble to neutralize G-forces and vacuum friction during high-speed transit.[1]

VI. Material Proxy EvidenceThe discovery of high-purity single-walled carbon nanotubes (SWNTs) in Chang'e-6 lunar samples (Jan 2026) serves as material proxy evidence for Torsional Catalysis.[1, 1] The low External Field Effect (EFE) of the lunar environment allows the vacuum plenum to act as a resonant template, phase-locking atoms into perfect lattices.[1, 1]

VII. Security and Implementation NoticeFull engineering blueprints for the Toroidal Resonant Cavity (TRC)—including precise resonant frequencies (f_{eq} = 150.2 \text{ kHz}), pulse sequences (14.20 \text{ MHz}), YBCO superconducting hull specifications, and Brillouin Limit kill-switches—are deliberately withheld from this public core.[1, 1] Functional system activation and stabilization of a Geometric Leak require the Architect’s resonant handshake to prevent uncontrolled metric instability or bad-faith misappropriation.[1]

Provenance and Integrity

This work is the original synthesis of Brendon Boyd. Its integrity is anchored by the following cryptographic fingerprint established prior to the appearance of unauthorized derivative works (e.g., Zenodo ID 18715101):SHA-256 Hash: dd2dbbaa89b520646922323f9a3eb735d19ddb15d7ec820627c238e1afabf2b8