The Axis Model Research Program
A unified four-paper physics framework with reproducible Colab code,
deriving the Standard Model and emergent gravity with testable predictions.
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This research program introduces the Axis Model, a BRST-consistent effective field theory that derives particle structure, gauge dynamics, and gravitational geometry from a single master Lagrangian. Observables arise as scalar-coherent projections of internal vector displacements, a mechanism that reproduces the Standard Model’s SU(3) × SU(2)L × U(1)Y sector and recovers general relativity in the low-energy limit. Supported by four interlocking papers with reproducible computational notebooks, the model provides a complete renormalization-group analysis, ensures anomaly cancellation, and delivers falsifiable predictions for fermion mass hierarchies, CKM/PMNS mixing, and testable signatures in lensing, neutrinos, gravitational waves, and cosmological structure.
A Unified Framework for Emergent Particle Structure, Cosmology, and Gravitational Phenomena
The Axis Model introduces a new foundation for physics where particles, forces, and cosmological structure arise from quantized vector displacements stabilized by a scalar field. In this framework, electric charge, inertial mass, spin, and even the flow of time are not assumed as fundamental, but emerge from the projected geometry of coherent bound states. Built upon a single master Lagrangian, the model recovers the Standard Model and General Relativity in their established domains. It makes a comprehensive set of falsifiable predictions for phenomena including gravitational lensing, neutrino mass bifurcation, and large-scale CMB anomalies.
Abstract · Full Paper PDF · Colab Notebooks
A Geometric Origin for the Standard Model Fermion Sector
This paper derives the full fermion sector of the Standard Model from the geometric framework of the Axis Model. All observable particles are modeled as scalar-stabilized tri-vector composites, whose internal configurations of quantized vector displacements generate gauge groups, mass hierarchies, mixing angles, and CP-violating phases. Once calibrated to {me, mµ/me, mτ/me, θC}, the framework predicts all other fermion masses, CKM/PMNS mixing matrices, and CP phases with high accuracy: 74% of observables within 1% of experiment, 95% within 5%, and all 29 predictions within 10%. Companion notebooks implement the full calibration → prediction pipeline for computational transparency.
Abstract · Full Paper PDF & Colab Notebooks
Quantum Completion of the Axis Model: Gauge Structure, BRST Invariance, and Renormalization Stability
This paper develops the full quantum field-theoretic formalism of the Axis Model. Gauge fields arise as scalar-filtered projections of internal vector displacements, and BRST quantization ensures unitarity and gauge consistency. It provides a complete first-principles construction of the SU(2)L × U(1)Y sector and shows that the W and Z masses and the Weinberg angle emerge without a fundamental Higgs doublet. Anomaly cancellation is shown via scalar-bundle triviality, and renormalization-group analysis establishes stability of the EFT up to the scalar coherence scale (∼105 GeV).
Abstract · Full Paper PDF & Colab Notebooks
Foundational Axioms and Emergent Gravity in the Axis Model
This paper develops the quantum gravitational extension of the Axis Model, in which spacetime geometry, curvature, and gravitational dynamics emerge from scalar-filtered internal field configurations. The metric gµν(x) is a composite operator built from internal displacement fields and a complex scalar field Φ(x) that enforces coherence. We define scalar-coherent projection operators, construct the emergent vierbein and metric, and quantize the theory via a path integral over non-geometric degrees of freedom. In scalar-coherent domains, a one-loop effective-action calculation produces the Einstein–Hilbert term, and the graviton appears as a massless spin-2 excitation of the coherent field ensemble. Predictions include environment-dependent G(Φ), suppression of curvature and gravitational-wave amplitudes in decoherent regions, and non-singular black-hole interiors.
Technical Q&A
This section provides formal answers to detailed questions from colleagues and reviewers, serving as a transparent record of the model's ongoing technical validation.
General Q&A
This section offers a plain-language entry point for curious readers, students, and science writers. It introduces the big questions the Axis Model addresses, without requiring detailed background in particle physics or quantum field theory.
A summary of the current scientific status of the Axis Model, with context on reproducibility, predictions, and future tests.
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