Research works

Physics GNN Symbolic Discovery: A Self-Auditing Graph Neural Network for Classical Mechanics

This paper studies a deliberately closed testbed for scientific relation discovery. Classical mechanics is encoded as a typed graph with 159 quantity nodes, 131 equation nodes, and 15 law nodes, and an operator-conditioned graph attention network is trained to infer hidden quanti...

An E8–Zeta Spectral Program for the Riemann Hypothesis: Exact Identities, Finite Weil-Form Diagnostics, and Obstructions

We examine whether the E8 lattice can contribute nontrivial arithmetic data to spectral programs for the Riemann Hypothesis (RH). This article does not prove RH, conditionally or unconditionally. The classical identity Z_E8(s) = 240·2⁻ˢ·ζ(s)·ζ(s−3) is used to derive an exact reco...

Harmonic Theta-Mode Dominance and Superlinear Real-Zero Growth for the Riemann–Jacobi Kernel

This preprint studies the distinct real zeros of high derivatives of the Riemann–Jacobi kernel. It proves that their number grows faster than every fixed linear multiple of the differentiation order. The proof represents individual theta modes through generalized Bell polynomials...

GPRBase: A Free Library of Real-World Ground Penetrating Radar Datasets for Education, Training and Research

Ground Penetrating Radar (GPR) is a routine tool in civil engineering, utility detection, geotechnics, archaeology and the geosciences. Its theory can be taught from a textbook; interpretation cannot. Interpretation is learned by working through many real radargrams, and suitable...

Auroral Belts as Magnetically Localized Reactors for Prebiotic Chemistry on Early Earth

Most models of prebiotic chemistry emphasize globally distributed or widely acting energy sources, including ultraviolet radiation, lightning, impacts, and energetic particles. However, spatially localized environments capable of repeatedly concentrating reactive chemistry may al...

The E8 lattice and the geometry of biopolymers: verified conjecture with causal mechanism

The E8–Biopolymer conjecture is presented in its restricted-scope formulation: the E8 lattice, which in the TTOE framework generates the Standard Model chain E8 → E6 → SO(10) → SU(5) → G_SM, also constrains the geometry of topologically stable biopolymeric structures. For the alp...

E6 GUT Cascade Model: 3 Generations = 3 Gauge Breakings, Normal Ordering derived, E6 twisting from cubic invariant

GUT model based on the chain E8 → E6 → SO(10) → SU(5) → G_SM in which each of the three breakings above G_SM generates one fermion generation. The number 3 is presented as a classification theorem: among the maximal subgroups of E8 whose branching produces chiral representations...

Structural 9CG Fermion Coefficients and an Internal PMNS Parametrization

This manuscript gives a bounded public formulation of the Steps 6–7 fermion block of the TTOE framework. Part one records a Coxeter/branching-motivated selection of nine rational coefficients (9CG) along the chain E8 → E6 → D5 → A4 → G_SM, compared against a historical Clebsch/GU...

Local Chirality from Defects in an E8 Framework: Jackiw-Rebbi Zero Mode and Conditional Sector Selection

We study a topological route to chiral fermions in a framework with a parent E8 symmetry. The positive result is deliberately bounded: in the Jackiw–Rebbi 1+1D analogue, a topological defect localizes exactly one normalizable fermionic zero mode, with chirality fixed by the sign...

Emergent Gravity and the Scale of a0 in the TTOE Framework: The E8 -> Sakharov -> FRG Chain, the External Input rho_vac, and a Conditional Prefactor

This manuscript formulates the emergent-gravity block of the TTOE framework as a mixed chain: the E8 structure fixes the induced gravitational coupling (g*_Sak = 6π/496 ≈ 0.03800 from the heat kernel of the 248 gauge bosons, corrected by FRG back-reaction to g*_AS ≈ 0.0363, consi...

Bang-Bang Temperature Control in Espresso Machines

Consumer-grade espresso machines and bean-to-cup machines primarily regulate their brew temperature using on-off control, known in technical jargon as "bang-bang." Commercial and prosumer devices, on the other hand, are increasingly relying on PID control. From a product developm...

The genetic code as a broken spinor: binary structure, Watson-Crick charge conjugation, Walsh spectrum and SU(5) decomposition

We show that the standard genetic code is a precise algebraic object. The four DNA bases are the four stable combinations of two chemical bits (ring type, group type), so each codon is a vertex of the hypercube {0,1}^6 and Watson–Crick complementation is the antipode w → −w. Rume...

Simultaneous identities of the golden ratio and Euler's identity, formally verified in Lean 4 over the known Mersenne prime exponents

We present a sustained study of a single object followed across representations, where the content lives in the equivalences between them. We prove and formally verify in Lean 4 that the golden ratio φ=(1+√5)/2 satisfies simultaneously twelve identities across five canonical stru...

From Injury Canalization to Molecular Rescue: A Human-Derived Retinal Ganglion Cell State Space Predicts Optic Nerve Injury and Treatment Response

Background: Retinal ganglion cell (RGC) injury is typically analyzed by cell type, differential expression, or treatment-specificregeneration programs. A complementary question is whether injury and therapeutic response occupy a common molecularstate space that can be specified i...

Driving anger reduces the evasive response likelihood in near-crash events: Insights from SHRP 2 Naturalistic Driving Study

Introduction: Anger is a prevalent emotion that has been shown to negatively impact driving behavior, contributing to aggressive driving and road rage—both of which are well-known threats to traffic safety. This study investigated the effects of driving anger on evasive maneuvers...

Defect Flow, Incidence Rank, and Boundary Descent for Seymour's Second-Neighborhood Conjecture

We develop a degree-independent structural toolkit for Seymour's second-neighborhood conjecture. The main contributions are block and trap defect factorizations, arbitrary-baseline total-defect balance, protected-parent and Hall-deficiency separator geometry, Boolean defect flow...

Active Disturbance Rejection Control for Robust DC Bus Regulation in Standalone Multistage Inverters

ABSTRACT This paper addresses DC bus voltage regulation in standalone multistage inverters, where the DC‐DC stage must maintain a stable bus voltage despite input voltage fluctuations, unpredictable load changes, and model uncertainties. An Active Disturbance Rejection Control (A...

Titanium‐Catalyzed Defluorination of Poly(Vinyl Fluoride) and Poly(Vinylidene Fluoride) Under Friedel–Crafts Conditions

ABSTRACT The defluorination of poly(vinyl fluoride) (PVF) and poly(vinylidene fluoride) (PVDF) fluoropolymers catalyzed by titanium species in the presence of triethylsilane (Et 3 SiH) and aromatic solvents is reported. Commercially available Ti complexes (e.g., [Cp 2 TiCl 2 ] (...

Categorifying the Alexander Polynomial via gl(1|1) Superalgebra and Seifert Matrices — E8 Intelligence Research

**FINDING:** Categorification of the multi-variable Alexander polynomial using gl(1|1) superalgebra, with connections to Seifert matrix factorization and twisted Alexander invariants for abelian covers. **MATH:** - gl(1|1) superalgebra: Lie superalgebra with bosonic generator \(...

Exactly Unbiased Single-Stage Randomized Hadamard Companders: Uniform High-Rate Limits, Minimax Reconstruction, and Fixed-Query Tradeoffs

For every continuous, strictly positive probability density $f$ and every $B = 2^b \ge 4$, we construct a $B$-ary companded scalar quantizer with a calibrated reconstruction map whose box average in the quantile domain equals the inverse compander. Uniform dithering therefore yie...