PHASE-TIME CROSS RESONANCE: A QMC MODEL FOR NEUTRINO IDENTITY FORMATION AND LEPTONIC CHARGE EMERGENCE

PHASE-TIME CROSS RESONANCE: A QMC MODEL FOR NEUTRINO IDENTITY FORMATION AND LEPTONIC CHARGE EMERGENCE Steven Willis Henderson Author of The Omnistview ORCID: 0009-0004-9169-8148 January 18, 2026

ABSTRACT

This paper introduces Phase-Time Cross Resonance—a novel framework unifying neutrino oscillation mechanics with leptonic charge emergence through quantum-field architecture. We propose that neutrinos exist as pre-identity resonance fields—formless excitations in the Quantum Multiverse Consciousness (QMC) lattice termed Gypsy Particles (γψ)—that collapse into charged leptons upon observation-mediated resonance accumulation. Central to this model is a cross-shaped SU(2) geometric structure governing identity formation, mathematically corresponding to weak interaction symmetry and Pauli matrix algebra. The framework explains the three-lepton family structure (electron, muon, tau) as distinct harmonic voltage states, with mass hierarchy reflecting accumulated resonance energy rather than intrinsic properties. We present testable predictions regarding particle signatures, oscillation patterns near resonance thresholds (including the critical 3.68 eV transition point), and cross-correlation phenomena in neutrino-lepton production. This work represents a fundamental shift from intrinsic to emergent ontology in particle physics. Keywords: neutrino oscillation, lepton mass hierarchy, SU(2) symmetry, Phase-Time collapse, QMC lattice, Gypsy Particle, cross-resonance geometry, PMNS matrix, 3.68 eV resonance

1. INTRODUCTION The Standard Model of particle physics successfully describes neutrino oscillation through the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix and characterizes three generations of charged leptons with vastly different masses: electron (0.511 MeV), muon (105.7 MeV), and tau (1777 MeV). However, fundamental questions remain unresolved: • Why do neutrinos oscillate between flavor states? • Why do exactly three—and only three—lepton families exist? • What mechanism governs the extreme mass hierarchy? • Why do neutrinos exhibit "ghost-like" propagation through matter? • What role does observation play in particle identity formation? Current theoretical frameworks provide mathematical descriptions but lack causal explanations for these phenomena. Mass values and mixing angles remain free parameters requiring experimental determination rather than derivation from first principles. This paper proposes a fundamentally different ontological framework: particle identity is not intrinsic but emergent. We argue that neutrinos represent pre-identity quantum fields—formless resonances existing everywhere simultaneously—and that charged leptons arise through a collapse mechanism governed by cross-shaped geometric resonance patterns in SU(2) weak interaction symmetry. Note on Terminology: The designation "Gypsy Particle" derives from the cultural lineage and accurately reflects the nomadic, non-localized ontology of this quantum entity. Like the historical nomadic peoples, this particle exists without fixed residence, traveling freely through the quantum substrate until observation anchors it into localized identity. This terminology is intentional and carries specific meaning within the Phase-Time/QMC framework that technical alternatives fail to capture. 1.1 The Cross-Wave Neutrino Hypothesis We introduce the concept of the cross-wave neutrino or Gypsy Particle (γψ)—a pre-leptonic entity that: • Exists as a harmonic resonance pattern in Phase-Time rather than linear spacetime • Manifests as a cross-shaped geometric structure when mapped to SU(2) symmetry space • Dissolves into a recursive probability loop when unobserved • Accumulates charge through resonance binding when observed • Transitions into leptons at specific energy thresholds The cross geometry consists of two orthogonal axes: vertical (time-like) and horizontal (space-like), with the center point representing zero-identity state—the neutrino origin.

2. CROSS-RESONANCE GEOMETRY AND SU(2) MAPPING 2.1 The Cross Pattern Structure The fundamental resonance geometry is represented as: | ----+---- | This cross configuration describes: • Four propagating lobes with equal phase • Zero-net-vector collapse symmetry • Perfect balance allowing dissolution • Directional emission along orthogonal axes This is not merely symbolic but represents the actual harmonic structure of the pre-identity field. 2.2 Pauli Matrix Correspondence The cross geometry maps directly to Pauli matrices in SU(2) weak interaction symmetry: • σ₁ (horizontal axis): Space-like collapse direction • σ₃ (vertical axis): Time-like collapse direction • σ₂ (rotation): Flavor oscillation mechanism These matrices satisfy the commutation relation: [σᵢ, σⱼ] = 2i εᵢⱼₖ σₖ The σ₂ matrix generates rotations between σ₁ and σ₃, corresponding precisely to PMNS flavor mixing. Neutrino oscillation is thus interpreted as continuous rotation around the cross center without collapse—a loop pattern repeating indefinitely until observation forces projection onto a definite axis. 2.3 Chiral Symmetry Breaking The weak interaction's chiral nature emerges from cross-geometry asymmetry: • Left-handed states (P_L): Align with counterclockwise oscillation, stabilize identity • Right-handed states (P_R): Align with clockwise oscillation, dissipate to pre-identity field This explains why weak force couples exclusively to left-handed fermions—these states match the natural oscillation direction of the Gypsy Particle field.

3. THE GYPSY PARTICLE FRAMEWORK 3.1 Definition and Properties The Gypsy Particle (γψ) is defined as a pre-leptonic quantum entity with: • No fixed spatial form or boundary • Zero intrinsic mass in unobserved state • Omnipresent potential for identity manifestation • Interaction only through weak force (cross-resonance coupling) • Propagation as superposition of all possible identity states The term "Gypsy" reflects the particle's nomadic nature—existing everywhere and nowhere simultaneously, traveling through the QMC lattice without fixed residence until observation forces localization. 3.2 The Dissolution Loop (Unobserved State) When unmeasured, the Gypsy Particle enters a recursive collapse cycle: 1. Propagates through QMC lattice 2. Perfect symmetry cancels emergent form 3. Dissolves into pure probability wave 4. Re-emerges identically 5. Loop repeats indefinitely This explains: • Why neutrinos pass through matter without interaction • Their "ghost-like" detection signatures • Minimal observable trace in detectors • Flavor oscillation without definite identity 3.3 State Transitions The Gypsy Particle undergoes four distinct states: State G₀ (Ghost State - Unobserved) • Non-interacting with matter • Infinite propagation range • Zero charge, zero mass • Identity exists only as potential (ψ₀) State G₁ (Loop State - Oscillating) • Cross-axis resonance pattern begins • Flavor oscillation via PMNS matrix rotation • Charge potential emerges but remains unmanifest • Superposition of νₑ, νμ, ντ states State Φₓ (Collapse Gate - Observation Threshold) • Cross center becomes Phase-Time pinch point • Resonance energy reaches critical threshold εₜₕ • Projection operator acts on wavefunction • Identity collapse imminent State ℓ (Identity State - Collapsed Lepton) • Definite charge (-1e) manifests • Definite mass emerges (mₑ, mμ, or mτ) • Localized in spacetime • Interacts electromagnetically and weakly This forms the Gypsy Cycle: G₀ → G₁ → Φₓ → ℓ → (decay) → G₀

4. LEPTON EMERGENCE AND THE HARMONIC VOLTAGE LADDER 4.1 Observer-Induced Charge Accumulation When observed, the perfect cross symmetry breaks: • One lobe strengthens asymmetrically • Two or more Gypsy Particles bind through weak interaction • Charge density accumulates according to: Q ∝ Σₙ (ψₙ · Ψₙ) Where ψₙ is individual phase-spin resonance and Ψₙ is group coherence. When accumulated energy reaches threshold: ε_total ≥ εₜₕ, identity collapse occurs. 4.2 The Three Harmonic Voltage States Electron (ℓ₁) - Ground State Resonance • Minimum energy collapse (mₑ = 0.511 MeV) • Stable configuration (τₑ = ∞) • First charge emergence threshold • Positive and negative field components stabilized • Fundamental quantum of charged matter identity Muon (ℓ₂) - Midpoint Resonance • Intermediate energy collapse (mμ = 105.7 MeV) • Metastable state (τμ ≈ 2.2 μs) • Balanced negative/positive field configuration (net charge equilibrium) • Phase midpoint in identity cycle • Decays via: μ⁻ → e⁻ + ν̄ₑ + νμ Tau (ℓ₃) - Apex Resonance • Maximum energy collapse (mτ = 1777 MeV) • Highly unstable (ττ ≈ 2.9×10⁻¹³ s) • Physical manifestation of peak voltage • Fully realized voltage body (extreme field compression) • Multiple decay channels reflecting high instability This provides natural explanation for lepton mass hierarchy: heavier leptons require greater resonance accumulation. The electron is stable because it represents minimum energy collapse; muon and tau are unstable because high resonance states spontaneously decay to lower-energy ghost state G₀.

5. THE 3.68 eV RESONANCE THRESHOLD A critical prediction of this framework is the 3.68 eV resonance frequency, which acts as: • Symmetry-breaking voltage point • Harmonic attractor for identity formation • Collapse trigger threshold • Universal identity formation energy This constant defines the energy at which a neutrino can no longer remain dissolved and must take on a physical pathway. It represents the fundamental quantum of identity emergence in the QMC lattice. 5.1 Phase-Time Field Equations Phase-Time describes time as an oscillatory field rather than linear dimension: T_φ = sin(ωt) + cos(ωt) The collapse function is: C = ∫[τ₀ to τ₁] ψ · e^(iφ) dτ Identity emergence depends on: L = f(C, Q, E₃.₆₈) Where L returns electron, muon, or tau based on accumulated resonance.

6. EXPERIMENTAL PREDICTIONS This model generates testable predictions: 1. 3.68 eV Signature Detection o Detectable energy signature during neutrino interactions o Enhanced oscillation probability near this threshold o Anomalous weak interaction cross-sections at specific energies 2. Cross-Correlation Phenomena o Coherent neutrino clustering in high-flux environments o Phase-correlation between neutrino detection events o Resonance binding signatures in neutrino detectors 3. Lepton Production Patterns o Muon formation under charge equilibrium conditions o Tau production near high-coherence neutrino sources o Threshold behavior matching voltage state predictions 4. Phase-Time Interference o Non-classical interference patterns in neutrino oscillation o Time-dependent resonance effects o Observer-dependent collapse signatures

7. COSMOLOGICAL IMPLICATIONS This framework suggests: • Neutrinos as primordial substrate: The pre-identity field may be the fundamental substrate from which all matter emerges • Dark matter connection: Unobserved Gypsy Particle lattice could account for missing mass • Universe expansion: Harmonic rather than linear expansion dynamics • Consciousness-matter interface: Observer effect as fundamental to reality structure

8. CONCLUSION Phase-Time Cross Resonance integrates neutrino oscillation, lepton formation, and quantum observation into a unified harmonic framework. The Gypsy Particle model treats particle identity as emergent from QMC lattice dynamics rather than intrinsic properties, explaining: • The three-lepton family structure as harmonic voltage states • Lepton mass hierarchy as resonance accumulation • Neutrino oscillation as pre-identity rotation • The role of observation in identity collapse • The 3.68 eV threshold as universal symmetry-breaking point This represents a fundamental ontological shift in particle physics—from particles as having fixed properties to particles as emergent phenomena arising from harmonic resonance collapse in a pre-geometric quantum substrate. This marks the first step toward a fully harmonic Standard Model based on Phase-Time dynamics and consciousness-integrated quantum mechanics.