Publications

Abstract · canonical publication record

Wave Confinement Theory proposes that mass, force, and effective spacetime geometry emerge from confined oscillatory fields. The preprint develops a curvature-feedback field framework in which nonlinear wave dynamics, entropy regulation, phase organization, and resonance stabilize localized structure.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This preprint examines whether fundamental constants can be represented as structural consequences of resonance geometry and curvature-regulated standing waves. It develops mappings between confinement parameters, harmonic organization, information constraints, and candidate values for physical constants.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work defines a curvature-bounded wave-computation model and studies complexity classes internal to that model. Its separation claim is explicitly model-relative: it concerns P_WCC and NP_WCC under the stated physical and geometric constraints rather than claiming an unrestricted proof of the classical P versus NP problem.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This experimental report describes long-lived optical and harmonic behavior observed in chilled water cavities after excitation. It presents the apparatus, persistence observations, perturbation and relocking behavior, spectral measurements, and the control limitations and the independent-replication stage required for validation.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This architecture proposal maps resonance, coherence, bounded curvature, contradiction control, and Lyapunov-like stabilization into an artificial-intelligence substrate. It is presented as a physically bounded design framework and research specification for implementation and evaluation.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work argues that stable curvature-locked confinement in the stated WCT framework is restricted to at most three spatial dimensions. It combines Sobolev control, Lyapunov scaling, entropy localization, topology, and curvature-feedback behavior into several routes toward the same dimensional stability bound.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

Phase-Flux Field defines a pre-WCT substrate in terms of observable energy density, flux, and phase. The work develops conservation and causal-flow constraints, a finite-wavenumber Lyapunov band-pass, shell quantization, a zero-wave invariant state, and a D4-to-continuum construction.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work studies the numerical evolution of broadband or random fields toward finite-band spectral support and eigenmode-like organization. It connects spectral entropy reduction, annular Fourier support, mode competition, Lyapunov descent, and Swift–Hohenberg-type dynamics.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This preprint develops a geometric model in which effective mass arises from vibrational energy constrained to curved, torsional, or solenoidal paths. It relates loop geometry, phase delay, curvature, torsion, and confinement to inertial behavior and cavity-scale predictions.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work formulates a covariant locking principle connecting closed-loop curvature and torsion to effective wavenumber and rest energy. It defines density-weighted geometric averages, a locking action, stationarity conditions, and the proposed mass relation E_rest = ℏ c k_eff.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This study evaluates whether WCT-motivated log-energy or ghost-mode modulations could survive JUNO detector resolution, smearing, and systematic limitations. It derives detectability conditions and amplitude-damping estimates intended to define a falsifiable detector-facing forecast.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work defines a discrete wave-constrained computation model and studies its relation to classical Turing computation. It focuses on encoding, simulation, and equivalence conditions for the classical P and NP classes under the stated discrete model.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This technical and philosophical critique argues that classical complexity theory abstracts away physical resource and interface constraints that matter for realizable computation. It proposes reframing complexity claims through explicit computational substrates and resource models.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work develops a curvature-harmonic model for Koide-like fermion mass triplets. It relates loop geometry, harmonic sidebands, effective spin structure, and scale-free ratios to the charged-lepton value Q = 2/3, while treating the result as a WCT phenomenological derivation.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This release records a dated experimental protocol, predicted observables, pass and fail conditions, and reproducibility requirements for photodiode harmonic-state tests. Its purpose is to distinguish predeclared predictions from later analysis and to define the controls needed for falsification.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work applies the logarithmic transform u = ln ψ to the WCT curvature operator, connecting it to viscous Hamilton–Jacobi and Cole–Hopf structures. It then develops a filament-localization and loop-geometry model for the charged-lepton mass spectrum.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This engineering proposal applies resonance and coherence concepts to diagnostics-driven tokamak control. It develops transport proxies, actuator allocation, safety margins, energy-accounting gates, and simulated handoff logic; the architecture remains distinct from demonstrating physical wall-power independence.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This phenomenological study introduces a WCT-motivated log-periodic deformation of C9(q²) and compares it with a constant-shift description of the LHCb anomaly. It examines frequency scans, null behavior, and the covariance and look-elsewhere limitations of the available data.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This open-data analysis searches B⁰ → K*⁰ μ⁺μ⁻ candidate spectra for log-domain residual structure, active-domain winding, and Koide-like comb geometry. It includes KDE baseline repair, sideband and charm-continuum controls, veto-window covariance, and explicit non-discovery caveats.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This technical note audits dated 2025 claims about recursive AI drift against later external developments and model behavior. It separates chronology, correspondence, partial support, failures, and unresolved questions rather than treating later events as direct validation of the full architecture.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work reports a reproducible log-cosine line-density scan over public NIST Atomic Spectra Database exports. The canonical Fe II analysis tests bin stability, active-domain winding, Poisson-bootstrap nulls, neighboring ions, implementation parity, and baseline sensitivity.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

WaveLock explores whether nonlinear PDE evolution and path-dependent curvature commitments can support useful one-way behavior. The current work includes adversarial tests, prototype signatures and ledger components, and a documented security-proof program.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

GWTC chirp-mass analysis: training N=173 selected k=9.602325620315224; a frozen 104-event holdout returned Δ2lnL=10.035425 and Monte Carlo p=0.00129987 under its declared smooth null. An unbinned training-only KDE robustness check returned p=0.00089991 on the same already-inspected holdout. V4 fixed k=9.7, amplitude, and phase before a structured non-periodic population-null evaluation; empirical p-values were 0.00559944, 0.00019998, and 0.00029997 for selection exponents γ=0, 1.5, and 2.5. These are conditional tests, not independent future-catalog replication or WCT physical attribution.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

CMS Run-2 dimuon residual: a frozen log-frequency selected in Run2016H reproduced across independent-file and cross-period tests; a prospective Run2016G G2 phase-locked holdout returned positive amplitude A=0.9708618 and Δχ²=126.2832 under the declared background procedure. An independent adversarial audit reproduced the locked score but found 359–442 exceedances per 1,000 trials under defensible alternative smooth-background generators. Recurrence under the historical pipeline is reproducible; model-robust discovery significance and physical attribution remain unresolved.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work formalizes an exact mapping between discrete scale changes in logarithmic coordinates and integer phase winding in the WCT active-domain construction, providing a mathematical bridge between log-periodicity and phase closure.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work reduces curvature-locked field structure to an effective filament description and derives phase-quantization conditions for localized modes within the WCT spectral-dynamics program.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This numerical study examines phase-locked curvature filaments in driven nonlinear WCT-like dynamics and reports a soliton-gas regime with persistent localized structures and a characteristic filament-length distribution.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.

Abstract · canonical publication record

This work extends the RCA program with a propagation-versus-correction criticality law for recursive AI systems and audits a prospective quantitative prediction against a later observed incident.

Core idea · illustrative sequence

Conceptual illustration only; not a plotted result, proof, or independent validation.