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

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Featured Publications

Instanton Index = 3 Generations

Version rft-15.6a - 2025-07-20

Interactive notebook proving that RFT's twistor compactification naturally produces exactly 3 fermion generations through topological index calculations on ℂP³.

Key Results

Two-Loop RG Fixed Point Calculation

Version rft-15.6b - 2025-07-20

Demonstrates RFT's asymptotically safe UV fixed point where all Standard Model couplings converge to finite values, solving the hierarchy problem.

Key Results

Axion Baryogenesis Boltzmann Integration

Version rft-15.6c - 2025-07-20

Integrates the Boltzmann equations for axion-scalaron dynamics to predict the observed baryon asymmetry ηB ≈ 6×10⁻¹⁰ without fine-tuning.

Key Results

Reproducibility & Web-Integration Toolkit

Version 15.6 - 2025-07-19

Docker-pinned notebooks, CI workflow, and public site hooks for reproducing the 15.5 uniqueness proof. Includes GAP/Sage verification scripts and automated mathematical proof pipeline.

Key Results

Exhaustive Subgroup Scan & Instanton Bound Theorem

Version 15.5 - 2025-07-18

Complete computational proof of E8 → E6 × SU(3) uniqueness via exhaustive subgroup enumeration.

Key Results

Uniqueness of the Embedding

Version 15.4 - 2025-07-17

Proves the uniqueness of the E8 → E6 × SU(3) embedding for three-generation phenomenology.

Key Results

Advanced Theory Series

RFT 15.x Series: Cutting-Edge Theoretical Developments

Latest Publications - 2025

Twistor Theory Quantum Gravity Advanced Mathematics

The 15.x series represents the most advanced theoretical developments in RFT, including:

  • 15.1: Twistor Quantization & Standard-Model Emergence
  • 15.2: Matrix–Scalaron Quantum Gravity & Emergent Spacetime

Archive

RFT 13.95 (interim note)

Version 13.95 - 2025-06-10

RFT 12.4

Version 12.4 - 2025-04-25

RFT 12.5

Version 12.5 - 2025-04-25

RFT 12.6

Version 12.6 - 2025-04-25

RFT 12.6.1

Version 12.6.1 - 2025-04-25

RFT 12.7

Version 12.7 - 2025-04-25

RFT 12.8

Version 12.8 - 2025-04-25

RFT 12.9

Version 12.9 - 2025-04-25

RFT 13.0

Version 13.0 - 2025-04-25

RFT 12.1

Version 12.1 - 2025-04-24

RFT 12.1.1

Version 12.1.1 - 2025-04-24

RFT 12.2

Version 12.2 - 2025-04-24

RFT 12.3

Version 12.3 - 2025-04-24

RFT 12.0

Version 12.0 - 2025-04-23