Papers
Explore current research manuscripts by topic, with paper summaries, abstracts and links to the latest manuscripts and supporting files on Zenodo. Each entry identifies its publication status and scientific scope.
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Matter
Matter
Classical charged-cell and common-body constructions, followed by conditional composition, weak representation, flavor and neutrino interfaces.
Signed Longitudinal Displacement Occupancy in the Axis Parent: Exact-Source Closure, a Constructive Charged-Cell Parent, Continuum Radial Localization, and the Three-Axis Composition Interface
Public preprint · Classical continuum existence
Constructs an exact localized classical charged cell in an explicit scalar–vector theory, with finite energy, exponential tails, and a certified energy below the free same-charge threshold. It supplies the mathematical starting point for the matter program.
Classical Stability and Poincaré Orbit of a Localized Charged Cell in the Axis Model: Energy-Space Hamiltonian Stability and an Exact Lorentz Mass Hyperboloid
Public technical note · Classical linear stability and relativistic orbit
Proves linear Hamiltonian stability of the localized charged cell and constructs its exact classical relativistic energy–momentum orbit. The result connects a stationary localized solution to controlled classical motion.
The Multi-Cell Matter-Carrier Interface in the Axis Model: Signed Occupancy Geometry and a Conditional Postparent Hamiltonian
Public preprint · Geometry and conditional composition
Identifies the geometry required for an isotropic three-cell carrier and proves that the frozen one-cell theory does not select it. A conditional composition Hamiltonian supplies the missing internal frame-incidence structure.
Classical Common-Envelope U(1)_G Charge-Three Body Factor in the Axis Model: Continuum Existence, Hamiltonian Stability, and Branch-Resolved Fragmentation
Public preprint · Classical existence, stability and fragmentation bounds
Establishes an exact localized charge-three classical body, its linear stability, and certified energetic separation from specified fragmentation branches. It supplies a common spatial substrate for the program’s later matter representations.
Microscopic Parent Reconstruction in the Axis Model: Charged Simplicity-Defect Response, Determinant Soldering, and Infrared Compatibility
Public preprint · Conditional microscopic compatibility
Constructs a microscopic route to the charged-field content used in the localized-cell theory and tests its infrared compatibility. Exact response geometry and a local persistence theorem clarify what is connected and what still requires microscopic selection.
Weak-Representation Soldering of the Axis Common Matter Carrier: Common-Body Lepton Architecture, Higgs-Resolved Components, and the Physicalization Boundary
Public preprint · Conditional representation construction
Builds a conditional weak and chiral lepton representation on the common classical body. It derives the representation algebra and Higgs-resolved component structure, then specifies the additional kinetic and spectral evidence required for physical electron and neutrino sectors.
Fermionic Preparation and Conditional Lepton Matching of the Axis Common Body
Public preprint · Conditional preparation and matching
Connects an explicitly admitted odd spin preparation and same-body exterior multiplicity to a conventional low-energy lepton description. Exact source, charge and Higgs identities preserve one carrier; electromagnetic normalization, Yukawas and physical masses remain matching data.
Axis Model Fermion Sector: Flavor Mechanics, Mixing, and Parent Interfaces
Public preprint · Exact operator algebra and benchmark reconstruction
Develops an exact finite-mode framework for Yukawa matrices and flavor mixing. Reproducible CKM and PMNS benchmarks test the available operator structure and identify the missing ingredients for a predictive flavor theory.
Conditional Neutrino Interfaces and Posterior Mixtures in the Axis Model
Public preprint · Conditional neutrino mathematics
Gives exact propagation bounds and posterior-mixture identities for specified neutrino-interface models. It distinguishes mathematical results from earlier descriptive fits to published oscillation posteriors and identifies the physical inputs still needed.
Gauge / Quantum
Gauge / Quantum
Gauge geometry, source normalization and conditional quantum consistency, including the two journal papers and the later matching requirements.
Non-Abelian Gauge Structure from Coherence-Gated Internal Symmetries: A Projection Mechanism and a Kernel-to-Coupling Map
Published · AIP Advances (2026) · Conditional gauge geometry
A coherent, protected internal sector supports a gauge-covariant non-Abelian connection and curvature construction under stated domain assumptions.
Quadratic Closure of a Projector-Defined Gauge-Normalization Interface
Published · AIP Advances (2026) · Quadratic response realization
Proves that one positive quadratic model can jointly supply the two response inputs of a specified gauge-normalization interface. It also derives a testable response relation for a single heavy mode and illustrates it with a coupled-resonator model.
Gauge-Coupling Normalization Beyond Projector Geometry: Action-Level Typing and Source Factorization
Public preprint · Source-normalization criteria
Identifies the dynamical information needed to turn gauge geometry into a coupling strength. Exact results separate spectral selection, collective response and normalized sources, and state the extra conditions needed for a common coupling formula.
Ultraviolet Matching Across Coherence Boundaries in Projector-Defined Gauge Theories: Spectral Persistence, Response Transport, and an Application to the Axis Model
Public preprint · Conditional matching and persistence
Sets out how microscopic response can be matched to a gauge theory when its selected internal sector or spacetime description changes. It separates approximation failure from loss of the underlying geometry and gives the conditions for persistence or reconstruction across the boundary.
Conditional Electroweak Normalization and Mixing from a Coherent Pre-Geometric Background
Public preprint · Conditional coupling calculation
Connects supplied electroweak boundary data to photon normalization and weak mixing, with explicit conventions for charges, kinetic mixing and running. It distinguishes the conditional calculation from historical numerical readouts and toy-model choices.
Conditional SU(3) Source Normalization and Two-Loop Strong-Sector Running in the Axis Model
Public preprint · Conditional QCD transport and realizability
Maps a supplied color kinetic coefficient to the strong-coupling trajectory using standard two-loop QCD. It separates forward boundary tests, inverse constraints from data and an exact theorem showing which response fractions a positive quadratic model can realize.
Quantum Consistency and Renormalization of the Axis Model Effective Field Theory
Public preprint · Conditional effective field theory
Formulates a coherent-branch effective field theory with a neutral scalar clock, a separately screened vector and one physical photon. It derives renormalization coefficients for declared matter content and identifies the independent data needed for ultraviolet matching.
Perturbative Quantum Consistency of the Axis Model Effective Field Theory: BRST Structure, Gauge Interfaces, and Renormalization Benchmarks
Public preprint · Perturbative EFT consistency
Builds an explicit BRST-consistent formulation for a declared low-energy theory and checks its anomaly and photon structure. Reproducible synthetic benchmarks test renormalization within the stated effective-theory assumptions.
Geometry / Gravity
Geometry / Gravity
Scalar-clock geometry, conditional gravitational dynamics, curvature matching, scale selection and horizon-entropy constraints.
Temporal Co-Orientation from Compact Scalar Phase: A Coframe-Reconstruction Criterion
Public preprint · Conditional reconstruction criterion
Gives a precise criterion for a compact scalar phase to define a temporal co-orientation before a metric is reconstructed. It states the additional coframe, normalization, and current conditions needed to recover Lorentzian geometry and proper time.
Scalar-Clock Geometry and Conditional Gravitational Dynamics in the Axis Model
Public preprint · Conditional geometry and dynamics
Connects scalar-clock geometry to explicit response-field dynamics and a specified gravitational effective theory. It separates local metric reconstruction from the additional inputs required to select a physical metric and calculate observable gravity.
Conditional One-Loop Curvature Matching in the Axis Model
Public preprint · Conditional one-loop calculation
Calculates the one-loop curvature response of a specified scalar, photon, and screened-vector theory. The analysis shows how gauge normalization, mass thresholds, and finite matching enter—and gives a precise test for a proposed environmental gravity law.
Conditional Scale Selection and Curvature Normalization in the Axis Model
Public preprint · Conditional scale theorem and normalization
Proves a unique scale minimum for a specified positive response model and makes the conversion to gravitational normalization explicit. A historical numerical benchmark is retained with its length reader, energy units, and independent matching condition clearly identified.
Second-Law Constraints on Variable-Planck-Mass Scalar–Tensor Gravity: From Black-Hole Wald Entropy to FLRW Apparent Horizons
Public preprint · Theoretical consistency criterion
Derives a horizon-entropy condition for a specified variable-Planck-mass scalar–tensor theory. It connects black-hole entropy and cosmological expansion to a practical consistency test for proposed gravitational models.
Orientation / Response
Orientation / Response
Exact results for supplied spectra, motions and quadratic responses, with limits on reconstructing a unique underlying model.
Conditional Spectral Geometry and Orientation Fractions in the Axis Model
Public preprint · Conditional spectral geometry
Derives the spectral geometry of a supplied quadratic kernel and the orientation fractions of a separately specified trajectory. The result gives exact static and finite-window responses, with a clear test for when a proposed motion is dynamically admissible.
Conditional Quadratic Reduction and Orientation Response in the Axis Model
Public preprint · Conditional dynamical reduction
Shows how a specified quadratic action reduces to light-sector dynamics while keeping kinetic normalization and source maps consistent. It gives exact orientation-response formulas and separates small librations from the stronger conditions required for sustained precession.
Kernel Universality and Sector-Projection Consistency in the Axis Model: A Sector-by-Sector Identifiability and Existence Analysis with No New Inputs
Public preprint · Kernel identifiability and compatibility
Explains why a sector's restricted response generally cannot reconstruct a unique underlying positive kernel. It formulates compatibility among several projected-response constraints as an existence question, without adding fits or predictions.
Framework
Framework
The broad program synthesis and a conditional criterion for a shared complex scalar across effective descriptions.
A Unified Framework for Emergent Particle Structure, Cosmology, and Gravitational Phenomena
Public preprint · Foundational synthesis
Maps the Axis Model’s mathematical structure and observational program. It connects the classical charged-cell construction with gauge, gravity, matter and cosmological interfaces, distinguishing proved results, additional assumptions and benchmark calculations.
Parent-Channel Closure for Composite Complex Scalars: A Generic EFT Criterion and an Axis Model Application
Public preprint · Conditional scalar-closure criterion
Gives a checkable criterion for several effective descriptions to share one complex scalar field. The criterion uses the parent response spectrum, compact symmetry and a common matching prescription, then applies those conditions to the Axis scalar sector.
Observational
Observational
A descriptive audit of released cosmological lensing results and the limits of comparing their compressed observables.
A Compressed-Observable Audit of Late-Time Cosmological Tension Projections
Public preprint · Descriptive data-product audit
Compares released strong-lens and weak-lensing results in a common descriptive amplitude coordinate. The analysis exposes differences between data products and tests the limits of a single-factor summary of late-time cosmological tensions.
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