Xinzi Field Theory: A Unified Program from ThreeStrand Complex Scalar Vacuum Condensation to Matter, Gravity, and Gauge Structure

Xinzi Field Theory (XFT) starts from an extremely parsimonious premise: the vacuum isnot empty but a fully condensed, isotropically balanced state of a three-strand com‐plex scalar field; particles are not field excitations but symmetry-breaking defects ofthis vacuum. This document consolidates the final established conclusions of theframework's paper series (Paper 1 mass spectrum, Paper 2 gravity, Paper 3 gauge emer‐gence, Paper 4 three-generation masses and mixing, Paper 5 standard-model emergenceclosure, Paper 6 cosmology) together with the quantum-field-property and gravity attacklines, giving a complete structural synthesis and unified inventory.Mass spectrum: canonical quantization yields a 6-mode scalar spectrum — overall amp‐litude/phase modes 0 (Goldstone) ×2, relative amplitude modes m²=(3/2)κ≈0.318 GeV²(m≈0.56 GeV) ×2, relative phase modes (θ modes) m_θ²=v²/π=19263 GeV² (m_θ=138.8GeV) ×2 — all 6 modes are scalar bosons; the condensate is stable (Coleman-WeinbergΔV = 0.04% of v⁴).Gravity sector (final state): the ψ density field is Planck-localized (localization scale =ground-state coherence scale ξ=1/M̄_Pl=8.1×10⁻³⁵ m, independent of the breathing-modemass; the breathing mode m_ψ=v²/4=15.16 TeV is the ψ fluctuation quantum mass) —long-range gravity is carried by h_μν (tensor) (GW170817 imposes the constraint);scalar loops do not induce 1/G — 1/G≡ρ₀ is a ground-state identity; conformal reinter‐pretation (ḡ=A²(ψ)g, 4D Maxwell conformal invariance → light unaffected → comovingrods and clocks measure c₀ always) → variable light speed is unobservable — the gravitysector is pointwise identical to GR at all accessible scales (unfalsifiability warning:methodological disclosure, self-consistency must not masquerade as passing tests).The source of spacetime curvature = density difference (optical metric n(ψ) inhomo‐geneity: source region R=T/ρ₀, vacuum Weyl≠0 propagation); spin-2 (LIGO +/×) =standard linearized result of identity EH (h_μν is not a ψ functional — no conflict withthe representation theorem).Remaining sectors: three-generation mass spectrum, charge lattice, gravity weak-fieldisomorphism, electromagnetism, color SU(3), electroweak SU(2)×U(1) and the Higgsmechanism all emerge from the same set of postulates; emergence scale M_Λ=1.03×10¹³GeV; α_GUT=2/(27π) overdetermined by five paths; sin²θ_W(M_Z)=0.2312 reproduced ex‐actly; α₃(M_Z)=0.1183; full Yukawa table 6 entries ≤1%; λ_SM=1/8 numerical candidate;strong-CP solution closed on three counts [derived]; PMNS structure identified (leptonnear-degeneracy perturbation basis choice open); Λ_obs=3.0×10⁻⁴⁷ GeV⁴ (exponent 17near-coincidence) + neutrino–dark-energy common origin; cosmology H₀=H_Λ/2 √Ω_Λ≈73.7 (leaning SH0ES); FRW initial condition closed (no Big Bang singularity).Emergence of fundamental chiral fermions is falsified (three-strand condensate = U(1)superfluid-type order, no string-net endpoints, flux not half-quantized, zero-mode threemechanisms excluded → no statistical origin); composite fermions (Skyrme×WZ/θ×N_c=3) survive as candidates, with the propagation-dimension gap = two-sided string-net deadlock (constructive falsification)

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23833678
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

Xinzi Field Theory: A Unified Program from ThreeStrand Complex Scalar Vacuum Condensation to Matter, Gravity, and Gauge Structure

Guang Sheng Zheng
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Xinzi Field Theory: A Unified Program from ThreeStrand Complex Scalar Vacuum Condensation to Matter, Gravity, and Gauge Structure

Guang Sheng Zheng
preprint en

Abstract

Xinzi Field Theory (XFT) starts from an extremely parsimonious premise: the vacuum isnot empty but a fully condensed, isotropically balanced state of a three-strand com‐plex scalar field; particles are not field excitations but symmetry-breaking defects ofthis vacuum. This document consolidates the final established conclusions of theframework's paper series (Paper 1 mass spectrum, Paper 2 gravity, Paper 3 gauge emer‐gence, Paper 4 three-generation masses and mixing, Paper 5 standard-model emergenceclosure, Paper 6 cosmology) together with the quantum-field-property and gravity attacklines, giving a complete structural synthesis and unified inventory.Mass spectrum: canonical quantization yields a 6-mode scalar spectrum — overall amp‐litude/phase modes 0 (Goldstone) ×2, relative amplitude modes m²=(3/2)κ≈0.318 GeV²(m≈0.56 GeV) ×2, relative phase modes (θ modes) m_θ²=v²/π=19263 GeV² (m_θ=138.8GeV) ×2 — all 6 modes are scalar bosons; the condensate is stable (Coleman-WeinbergΔV = 0.04% of v⁴).Gravity sector (final state): the ψ density field is Planck-localized (localization scale =ground-state coherence scale ξ=1/M̄_Pl=8.1×10⁻³⁵ m, independent of the breathing-modemass; the breathing mode m_ψ=v²/4=15.16 TeV is the ψ fluctuation quantum mass) —long-range gravity is carried by h_μν (tensor) (GW170817 imposes the constraint);scalar loops do not induce 1/G — 1/G≡ρ₀ is a ground-state identity; conformal reinter‐pretation (ḡ=A²(ψ)g, 4D Maxwell conformal invariance → light unaffected → comovingrods and clocks measure c₀ always) → variable light speed is unobservable — the gravitysector is pointwise identical to GR at all accessible scales (unfalsifiability warning:methodological disclosure, self-consistency must not masquerade as passing tests).The source of spacetime curvature = density difference (optical metric n(ψ) inhomo‐geneity: source region R=T/ρ₀, vacuum Weyl≠0 propagation); spin-2 (LIGO +/×) =standard linearized result of identity EH (h_μν is not a ψ functional — no conflict withthe representation theorem).Remaining sectors: three-generation mass spectrum, charge lattice, gravity weak-fieldisomorphism, electromagnetism, color SU(3), electroweak SU(2)×U(1) and the Higgsmechanism all emerge from the same set of postulates; emergence scale M_Λ=1.03×10¹³GeV; α_GUT=2/(27π) overdetermined by five paths; sin²θ_W(M_Z)=0.2312 reproduced ex‐actly; α₃(M_Z)=0.1183; full Yukawa table 6 entries ≤1%; λ_SM=1/8 numerical candidate;strong-CP solution closed on three counts [derived]; PMNS structure identified (leptonnear-degeneracy perturbation basis choice open); Λ_obs=3.0×10⁻⁴⁷ GeV⁴ (exponent 17near-coincidence) + neutrino–dark-energy common origin; cosmology H₀=H_Λ/2 √Ω_Λ≈73.7 (leaning SH0ES); FRW initial condition closed (no Big Bang singularity).Emergence of fundamental chiral fermions is falsified (three-strand condensate = U(1)superfluid-type order, no string-net endpoints, flux not half-quantized, zero-mode threemechanisms excluded → no statistical origin); composite fermions (Skyrme×WZ/θ×N_c=3) survive as candidates, with the propagation-dimension gap = two-sided string-net deadlock (constructive falsification)

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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