The General Emergence of Physics | GUHCT: Application and Cross-Domain ExpansionThe General Emergence of Physics | A Theory of Everything Encapsulated Within Standard Models of Physics and Möbius Collapse Logic, 2025
“The General Emergence of Physics: A Theory of Everything Encapsulated Within Standard Models of Physics and Möbius Collapse Logic” by Anthony Jordon. It comprises the final peer-review-ready manuscripts and PDF's deriving & supplementing extensive appendices of derivations and proofs, full simulation code and data, and step-by-step notebooks that reconstruct every key result. These materials form a turnkey reference for anyone wishing to reproduce, scrutinize, or extend the Grand Unified Harmonic Collapse Theory. 1. Introduction: The Quest for Unification The Grand Unified Harmonic Collapse Theory (GUHCT) presented herein offers a novel and comprehensive framework aimed at unifying the fundamental principles of physics, addressing the long-standing disconnect between General Relativity (GR) and the Standard Model (SM) of particle physics. Motivated by the limitations of current paradigms at extreme scales (e.g., black hole singularities, the Big Bang) and the quest for a "Theory of Everything" (ToE), GUHCT proposes a synthesis of two precursor frameworks: the conceptually broad Theoretical Harmonic Resonance Field Model (THRFM), which posits a universe governed by underlying harmonic resonance principles, and the mathematically rigorous Möbius Collapse Logic (MCL), which describes dynamics based on weighted computational logic and collapse towards states of higher coherence or stability. 2. Foundational Postulates: LQTs, HCL, and MCL GUHCT posits that reality is fundamentally discrete and computational, built upon basic units termed Light-Quanta Tokens (LQTs). These LQTs form a dynamic substrate whose collective behavior constitutes the fields and particles we observe. Key postulates include: LQT Substrate: Reality is composed of discrete LQTs, forming a dynamic network or graph. Each LQT possesses an internal state space (Σ), potentially encoding phase, orientation, topological charge, or excitation level. Harmonic Computational Language (HCL): Interactions between LQTs are governed locally by the rules of HCL. These rules define how LQTs combine, modify states, form structures, and propagate information. HCL implicitly defines stability and resonance conditions. Möbius Collapse Logic (MCL) and Computational Weight (w): System evolution is driven by MCL, a dynamic principle favoring transitions towards LQT configurations (C) with higher computational weight, w(C). This weight quantifies stability, logical coherence, or resonance potential. The "collapse" is a directed evolution, not necessarily probabilistic in the standard quantum sense, maximizing w. This mechanism is intrinsically linked to computational complexity classes (Polynomial Hierarchy) and topological invariants (knot theory). Emergence: All observed physical phenomena – spacetime, particles, fields, forces, physical laws, and potentially complexity up to life and intelligence – emerge as collective, stable, or quasi-stable resonance patterns (Ψ_w) within the evolving LQT substrate, governed by HCL and MCL. Further Details: Conceptual Synthesis of Resonance and Topology At its heart, this work posits that every physical law—quantum, gauge, gravitational, thermodynamic—emerges from a deeper substrate of discrete, phase-coherent Light-Quanta Tokens (LQTs) governed by the Theoretical Harmonic Resonance Field Model (THRFM). In parallel, Möbius Collapse Logic (MCL) frames computation as topological braids on a Möbius strip, with an integer collapse-weight w setting an energy threshold for wavefunction collapse. The first section rigorously unites these viewpoints, showing how HCL’s primitive operations (phase-shift, amplitude-scale, harmonic-mix, Möbius-twist) map bijectivity to braid moves, and how knot invariants (Jones, HOMFLY) directly quantify collapse-weights. This dual language furnishes a single, experimentally actionable framework in which physical processes and algorithms share a common mathematical backbone. Emergence of Quantum and Gauge Structures Building on the unified substrate, the manuscript derives the Klein–Gordon and Dirac equations as natural collapse-field propagation rules, rather than imposed axioms. U(1), SU(2), and SU(3) gauge symmetries arise inevitably when coupling multiple LQT modes into composite collapse-fields, with Noether-style conservation of a “computational charge” at each collapse event. Path integrals are reinterpreted as sums over discrete collapse histories, whose interference patterns yield familiar quantum amplitudes. Detailed proofs demonstrate anomaly cancellation in this topological setting, establishing that every standard-model interaction can be read off directly from MCL braid stabilizations. Spacetime and Gravitational Unification The same resonance network that generates quantum fields also weaves the fabric of spacetime. By constructing the metric tensor from second-order LQT correlators, the large-scale limit reproduces Einstein’s field equations without additional assumptions. Black-hole singularities are resolved by maximum collapse-density thresholds, replacing infinities with finite, topologically protected defects. Cosmological solutions—including inflationary expansion, dark-energy-like residual fields, and large-scale structure formation—emerge as collective resonance patterns, with precise predictions for observable signatures in the cosmic microwave background. Thermodynamics, Complexity and the Origin of Life Entropy is redefined as the logarithm of accessible collapse-weight microstates, with Landauer’s principle appearing as the minimal photon-dissipation cost to reset a bit. Classical computational complexity classes (P, NP, PSPACE) correspond to MCL weight hierarchies, offering a physical grounding for algorithmic hardness. Molecular bonding and reaction networks are shown to follow resonance-weight transitions in LQT graphs, recovering chemical kinetics and orbital hybridization from first principles. Finally, biological information processing and evolution are cast as high-order resonance-network optimizations, suggesting a continuum from elementary collapse events to emergent life and intelligence. Unified Action, Renormalization and Testable Predictions The final chapters assemble the candidate GUHCT Lagrangian ((GUHCT) = Lagrangian(HCL) + Lagrangian(gauge) + Lagrangian(grav) + Lagrangian(res)), combining kinetic, interaction, geometric and resonance terms in a single functional. Renormalization-group flow equations demonstrate perturbative stability up to Planck-scale collapse-weights, and explicit computation packages trace coupling evolutions. From these foundations, the theory predicts small deviations from Newtonian gravity at submillimeter distances, discrete spectral resonances in cosmic background radiation, and LQT-based “dark-matter” loops affecting galactic rotation curves. By weaving harmonic resonance, topology, quantum field theory, general relativity, complexity theory and chemical/biological phenomena into a single analytic tapestry, this deposit delivers a reusable, medium-agnostic blueprint for a truly unified physics. GUHCT proposes a radical shift in perspective, viewing the universe as a fundamentally computational system governed by harmonic resonance and collapse logic operating on a discrete substrate. It offers a unified framework aiming to derive all known physics from first principles, resolve long-standing paradoxes, and provide a deeper understanding of phenomena ranging from particle physics to cosmology and the emergence of complexity. While significant challenges remain in fully defining the mathematical formalism (L_GUHCT, HCL rules, w(C) function) and completing the rigorous derivations, GUHCT presents a potentially fruitful and predictive path towards a Theory of Everything. Under a permissive CC BY 4.0 license, researchers can freely adapt, extend or repurpose any component—be it the core proofs, simulation engines or theoretical predictions—for next-generation investigations in fundamental science and beyond.
Alannah Nightingale
