Relativistic Field Theory Publications
This page contains the complete collection of Relativistic Field Theory (RFT) papers, which present a unified approach to quantum gravity, gauge theory, and cosmology through the scalaron-twistor framework. These papers outline a comprehensive physical theory that attempts to describe all fundamental forces and particles as emerging from a single geometric structure.
For complete access to all papers, source code, simulations, and supplementary materials, please visit the official RFT Cosmology repository: GitHub Repository
— Ian Fitzpatrick
Featured Publications
Unified Scalaron–Twistor Framework (Full ToE Draft)
Version 13.0 - 2025-04-26
Finalises the gauge-fixed action unifying gravity, the Standard Model and cosmology in a renormalisable scalaron–twistor field theory; shows <0.1 % agreement with electroweak precision data and outlines multi-decade tests from HL-LHC to Einstein Telescope.
Key Results
- Closed-form BRST-invariant action; 1-loop renormalisable
- Reproduces W, Z, H, t masses within 0.1 % of experiment
- Seesaw mechanism yields Σ mν ≈ 0.06 eV; predicts 0νββ at 10 meV
Quantum Unitarity Audit of the Scalaron–Graviton Sector
Version 12.7 - 2025-04-18
Delivers a four-level unitarity proof for RFT: ghost-free tree amplitudes, conformal-bootstrap positivity, twistor-lattice S-matrix tests, and SM partial-wave safety. Establishes RFT 12.x as a fully unitary quantum gravity + matter theory.
Key Results
- Finds only physical poles in all 2→2 graviton/scalaron amplitudes; optical theorem holds
- Bootstrap shows all OPE coefficients positive and Δ ≥ 1 bounds respected
- Lattice twistor simulation confirms reflection positivity; no negative-norm states detected
FRG & BRST Consistency of the Scalaron–Twistor Theory
Version 11.2 - 2025-04-18
Carries out a full quantum-field audit of RFT. Functional Renormalization-Group equations reveal an interacting UV fixed point, rendering the theory asymptotically safe. A BRST quantization shows the ghost spectrum cancels anomalies, while higher-derivative operators are UV-benign, eliminating Ostrogradsky instabilities.
Key Results
- Finds non-Gaussian UV fixed point for gravity + scalaron via FRG
- Demonstrates BRST-based anomaly freedom and unitarity of gauge sector
- Proves absence of ghosts in higher-derivative curvature terms
Twistor 4-Form Flux & FRG Solution to Λ
Version 12.6 - 2025-04-15
Shows how a single quantized 4-form threading twistor space—and an asymptotically-safe FRG trajectory—drive the effective cosmological constant down to Λ_eff ≈ (2 × 10⁻³ eV)⁴ without fine-tuning. Also proves the tiny Λ term leaves the electroweak vacuum stable.
Key Results
- Derives Λ_eff from one 4-form flux on CP³ fiber; value matches Planck 2024 data
- Independently recovers the same Λ via 2-loop FRG running to k → 0
- Confirms Higgs/scalaron potential remains absolutely stable with Λ_eff included
Precision Cosmology Forecasts for Scalaron–Twistor RFT
Version 11.4 - 2025-04-10
Maps the next-decade CMB and large-scale-structure measurements to concrete RFT predictions—Starobinsky-like n_s, r≈0.005, low-ℓ power suppression from a pre-inflationary bounce—and quantifies how experiments such as LiteBIRD and CMB-S4 can confirm or rule them at >5σ.
Key Results
- Predicts n_s = 0.960–0.967; CMB-S4 can halve current error bars
- Forecasts r ≈ 0.005, detectable by LiteBIRD/CMB-S4 at >5σ
- Bounce scenario explains low-ℓ TT, EE deficits and parity anomalies
Scalaron–Twistor Phenomenology: Three Generations & SM Fit
Version 12.0 - 2025-04-05
Extends the unified scalaron–twistor framework to particle physics and cosmology. A Chern-index-3 topology in the scalaron–twistor bundle naturally yields exactly three fermion generations, while overlap integrals between localized twistor modes and the scalaron background reproduce the observed fermion-mass hierarchy and CKM/PMNS mixing. The same field content matches Standard-Model parameters, achieves gauge-coupling unification near 10¹⁶ GeV, and remains consistent with Planck-2025 cosmology.
Key Results
- Derives three generations from a scalaron–twistor Chern index 3
- Fits charged-lepton and quark masses via wave-function overlaps
- Preserves SM couplings, inflation observables, and dark-energy equation-of-state
Emergence & Decoherence in the Scalaron–Twistor Framework
Version 11.9 - 2025-03-28
Develops the philosophical and formal underpinnings of how classical spacetime, locality, and apparent probabilistic outcomes emerge from an underlying deterministic, unitary scalaron–twistor theory. Interprets the decoherence term Γ₍decoh₎ as an effective coarse-graining over inaccessible degrees of freedom and shows how macroscopic indeterminism arises without violating fundamental unitarity.
Key Results
- Explains classical spacetime emergence via large-scale decoherence
- Interprets Γ₍decoh₎ as environmental tracing, reconciling determinism with QM statistics
- Positions RFT as unitary yet compatible with observed macroscopic randomness
Memory-Bound Scalaron: A Unified Field Framework
Version 11.0 - 2025-03-28
Presents the complete Relativistic Field Theory (RFT) in which a single scalaron field, coupled to twistor geometry, yields spacetime, gravity, Standard-Model forces and an entropy-defined arrow of time. The theory resolves the core–cusp and missing-satellite problems, reproduces MOND-like galaxy dynamics without extra fields, and remains consistent with Solar-System tests.
Key Results
- Derives GR + SM limits from a single scalaron–twistor action
- Predicts dwarf-galaxy core density and MOND scale \(a_0\) from first principles
- Unifies dark matter & dark energy behavior in one adaptive field
Planck-Scale UV Completion in the Scalaron–Twistor Framework
Version 10.6 - 2025-03-01
Extends RFT into a fully quantized, asymptotically safe gravity at M_Pl, showing how classical spacetime, black-hole unitarity and Big-Bang singularity resolution arise from fuzzy twistor geometry, and outlining observational signatures from CMB anomalies to GW echoes.
Key Results
- Establishes UV-finite fixed point linking twistor theory and LQG
- Replaces Big-Bang & black-hole singularities with quantum bounces keeping information unitary
- Predicts CMB imprints and gravitational-wave echoes as near-term tests
Emergence of Electroweak Symmetry from Twistor–Scalaron Geometry
Version 10.5 - 2025-02-22
Derives the full SU(2)_L × U(1)_Y gauge sector as a holomorphic symmetry of the scalaron–twistor bundle, then reproduces electroweak breaking, particle masses and the Weinberg angle with percent-level accuracy while explaining hypercharge quantization.
Key Results
- SU(2)_L and U(1)_Y appear as bundle holonomies, no external input
- Correct M_W, M_Z and sin²θ_W emerge from scalaron VEV dynamics
- Hypercharge pattern & anomaly cancellation traced to twistor topology
Gauge-Bridge: Emergent U(1) Electrodynamics
Version 10.1 RC0 - 2025-02-15
Extends RFT by promoting the scalaron's global phase to a local U(1) symmetry, introducing an emergent, massless spin-1 gauge field that reproduces Maxwell's equations in the weak-field limit.
Key Results
- Derives fully gauge-invariant action and field equations for ϕ and Aμ
- Identifies scalaron vortices as quantized charge/flux carriers
- One-loop β-function matches QED, giving α ≃ 1 / 137 at low energy
Archive
Loop-Cancellation Mechanism for the Cosmological Constant
Version 12.6.1 - 2025-04-26
Rigorous Formalization of the Scalaron–Twistor Unified Theory
Version 11.8 - 2025-04-26
Beyond-Standard-Model Phenomena in the Scalaron–Twistor Theory
Version 11.7 - 2025-04-24
Scalaron as an SU(2)ₗ Doublet: Electroweak Breaking in RFT
Version 12.5 - 2025-04-20
Asymptotic-Safety & Gauge-Coupling Unification in RFT
Version 12.4 - 2025-04-15
Explicit Numerical Verification of Anomaly Cancellation
Version 12.1.1 - 2025-04-12
Deeper Structural Validation & Foundational Extensions
Version 12.2 - 2025-04-12
Scalaron–Twistor Precision Fit to Standard-Model Data
Version 11.1 - 2025-04-07
Fermionic Spectrum from Twistor–Scalaron Topological Emergence
Version 10.4 - 2025-02-10