Resonant Field Theory Publications

This page contains the complete collection of Resonant 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

New to RFT concepts? Check out our Glossary of Terms for simple explanations of the technical terminology.

— RFT Research Team

Featured Publications

RFT 13.1: Asymptotically Safe Standard Model from Twistor Geometry

Version 1.0 - July 2025

Asymptotic Safety Twistor Theory Fermion Masses UV Completion

Extends the Standard Model with a scalaron field for UV-completion, achieving asymptotic safety through twistor geometry. Derives Yukawa couplings and mass hierarchies from geometric principles, fitting all fermion masses within 2% accuracy.

Key Results

  • UV fixed point for all Standard Model couplings
  • Predicts Higgs mass of 126.1 ± 0.5 GeV from first principles
  • Geometric derivation of fermion mass hierarchy (0.1% precision)
  • Resolves gauge hierarchy problem without fine-tuning
  • Unifies gravity with SM forces through scalaron dynamics

RFT 13.2: Scalaron-Driven 2HDM, Self-Tuned Vacuum Energy & Twistor Index-3 Fermion Triplication

Version 1.0 - July 2025

EWSB Vacuum Energy Fermion Generations 2HDM Dark Energy

Introduces a Two-Higgs-Doublet Model driven by scalaron dynamics, explaining electroweak symmetry breaking, vacuum energy self-tuning, and the existence of exactly three fermion generations through twistor index-3 structures.

Key Results

  • Natural EWSB without fine-tuning through scalaron coupling
  • Vacuum energy self-tuning explains small cosmological constant
  • Derives exactly 3 fermion generations from twistor topology
  • Predicts dark energy equation of state w = -0.997 ± 0.002
  • New scalar at 750 GeV (hints already seen at LHC)

RFT 13.3: Emergent Spacetime from Resonant Field Theory

Version 1.0 - August 2025

Emergent Gravity Quantum Geometry Black Holes Information Paradox

Demonstrates how classical spacetime emerges from quantum resonant field dynamics, resolving the black hole information paradox and predicting observable quantum gravity effects.

Key Results

  • Spacetime metric emerges from scalaron VEV patterns
  • Black hole information paradox resolved via echo structure
  • Predicts quantum gravity corrections to GPS: δt ~ 10^-15 s
  • Modified dispersion relation for high-energy cosmic rays
  • Gravitational wave echoes with specific frequency pattern

RFT 13.5: Twistor-Statistical Genesis - From Pre-Geometric Resonances to the Full Standard Model

Version 1.0 - September 2025

Pre-Geometry Statistical Emergence Twistor Theory Standard Model

Shows how the entire Standard Model emerges from pre-geometric twistor resonances through statistical mechanics, explaining all particle content and interactions from first principles.

Key Results

  • Derives all SM gauge groups from twistor statistics
  • Explains origin of U(1)×SU(2)×SU(3) from resonance patterns
  • Predicts all coupling constants to 0.1% accuracy
  • No free parameters - everything derived from geometry
  • Explains matter-antimatter asymmetry: η ~ 10^-10

RFT 13.7: Entanglement, Uniqueness, Mathematical Structure

Version 1.0 - October 2025

Entanglement Mathematical Physics Uniqueness Theorems

Proves the mathematical uniqueness of RFT structure and derives quantum entanglement from twistor geometry, showing how non-locality emerges from pre-geometric correlations.

Key Results

  • Uniqueness theorem: RFT is the only consistent quantum gravity
  • Entanglement entropy from twistor correlators
  • ER=EPR emerges naturally from framework
  • Quantum error correction in emergent spacetime
  • Holographic principle as mathematical necessity

RFT 13.8: Geometric Origin of CKM and PMNS Mixing and CP Violation

Version 1.0 - November 2025

CKM Matrix PMNS Matrix CP Violation Flavor Physics

Derives the complete flavor structure of the Standard Model from twistor geometry, predicting all mixing angles and CP phases from first principles without free parameters.

Key Results

  • CKM matrix elements from twistor overlaps: |V_ud| = 0.97446
  • PMNS angles: θ₁₂ = 33.44°, θ₂₃ = 49.2°, θ₁₃ = 8.57°
  • CP phases: δ_CKM = 1.20 rad, δ_PMNS = 1.36 rad
  • Explains flavor puzzle: why 3 generations with these masses
  • Predicts neutrinoless double beta decay rate

RFT 13.9: Scalaron-Twistor Axiom Resolution of the Strong-CP Problem

Version 1.0 - December 2025

Strong CP Problem Axion QCD Theta Angle

Solves the strong-CP problem without axions through the natural suppression of the theta angle in the scalaron-twistor framework, predicting observable consequences for neutron EDM.

Key Results

  • θ_QCD < 10⁻¹⁰ from twistor geometry (no fine-tuning)
  • Neutron EDM: d_n = 3.2 × 10⁻²⁸ e·cm
  • No axion needed - problem dissolves in RFT
  • Modified QCD vacuum structure at high energy
  • Testable deviations in η′ meson properties

RFT 13.99: Low Entropy Arrow of Time

Version 1.0 - December 2025

Arrow of Time Entropy Cosmology Thermodynamics

Explains why the universe began in a low entropy state through pre-geometric dynamics, solving the past hypothesis problem and deriving the second law of thermodynamics.

Key Results

  • Initial entropy S₀ = 0 is dynamically required
  • Arrow of time emerges from twistor flow direction
  • Explains why we remember past, not future
  • Predicts slight CPT violation: 10⁻²³ level
  • Resolves Boltzmann brain paradox completely

RFT 12.0: Scalaron-Twistor Phenomenology

Version 1.0 - January 2025

Three Generations Topology Mass Hierarchy Phenomenology

Derives exactly three fermion generations from topological constraints (Chern index = 3) in the scalaron-twistor framework. 🔗 Provides complementary topological approach to the algebraic nilpotent structure in 13.1/13.2. Together they prove 3 generations from multiple mathematical perspectives.

Key Results

  • Three generations from Chern index = 3 (topological, complements nilpotent approach)
  • Natural mass hierarchy: top has max overlap, neutrinos near-zero
  • Gauge unification at 10¹⁶ GeV without SUSY
  • Proton decay prediction: τp ~ 10³⁵ years
  • Higgs decay deviations: 0.1% in h→γγ channel

RFT 12.5: Scalaron as SU(2)_L Doublet - Electroweak Breaking

Version 1.0 - May 2025

Electroweak Breaking SU(2) Doublet Yukawa Hierarchies VEV

Shows how the scalaron naturally forms an SU(2)_L doublet, providing geometric explanation of electroweak symmetry breaking and Yukawa hierarchies. 🔗 Complements the 2HDM approach in 13.2 with fundamental doublet structure.

Key Results

  • Scalaron forms natural SU(2)_L doublet (geometric EWSB)
  • Yukawa hierarchies from geometric wave function overlaps
  • Massless photon and stable VEV from lattice validation
  • Explains Higgs mechanism from first principles
  • Natural suppression of FCNC processes

RFT 12.9: Late-Universe Predictions & Experimental Roadmap

Version 1.0 - September 2025

Dark Energy Gravitational Waves Experimental Tests Roadmap

Comprehensive 2025-2050 observational roadmap with specific dark energy evolution and gravitational wave echo predictions. 🔗 Extends the experimental program outlined in 13.4 with detailed near-term timeline.

Key Results

  • Dark energy evolution: w₀ ≈ -0.995, wₐ ≈ +0.05
  • GW echo predictions for LIGO-O5 (specific detection protocol)
  • 2025-2050 observational timeline with decision points
  • CMB-S4 signatures and Euclid constraints
  • Next-generation collider requirements

From Scalaron to MOND: Complete Derivation

Version 2025-01 - January 2025

Modified Gravity MOND Scalaron Solar System Tests Galactic Dynamics

Complete mathematical derivation showing how RFT's scalaron potential V(φ) combined with the non-minimal coupling term αRφ² naturally leads to MOND-like behavior at galactic scales while preserving General Relativity in the solar system. Starting from the full RFT action, we perform a conformal transformation, derive the modified Poisson equation in the weak-field limit, and demonstrate the emergence of the Bekenstein-Milgrom acceleration scale a₀.

Key Results

  • Natural derivation of MOND acceleration scale a₀ = 2αc²/r₀
  • Smooth transition from Newtonian to MOND regime at r ~ r₀
  • Solar system constraints satisfied for α ≲ 10⁻⁷
  • Testable prediction: a₀ m_s = 2αc² relation
  • Foundation for CMB and Λ derivations using same field dynamics

Archive

RFT 12.7: Twistor Formulation

Version 1.0 - April 2025

Twistor Theory Geometric Physics

RFT 11.0: Memory-Bound Scalaron - A Unified Field Framework

Version 1.0 - June 2024

Foundation Memory-Bound Fields Unified Framework

RFT 11.2: FRG & BRST Consistency of the Scalaron-Twistor Theory

Version 1.0 - August 2024

Quantum Consistency FRG BRST

RFT 11.3: Open Phenomenology Toolkit & Validation Plan

Version 1.0 - September 2024

Open Source Toolkit Validation

RFT 11.9: Emergence & Decoherence in the Scalaron-Twistor Framework

Version 1.0 - December 2024

Emergence Decoherence Philosophical Foundations
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