Research works

PhysQK-AD: Convection-Diffusion-Driven Token Coordinate Evolution — From Pure Diffusion to a Learnable Convection-Diffusion Mixture

We report PhysQK-AD, a sequence model in which token coordinates evolve under convection–diffusion dynamics. In a small controlled setting (d=256, 4 layers, seq=128, 20 epochs), pure-diffusion PhysQK is close to a same-size multi-head attention baseline in validation loss (Δ ≈ +0...

An $n^2 \log n$ lower bound with coefficient $1/\log 2$ for the Hilbert number of polynomial systems

This record accompanies the preprint “An n^2 log n lower bound with coefficient 1/log 2 for the Hilbert number of polynomial systems.” For real planar polynomial vector fields of degree at most n, the paper proves the candidate bound liminf H(n)/(n^2 log n) ≥ 1/log 2. The constru...

Prime-Power Checkpoints for Suzuki's Riemann Zeta Screw Function: Rigorous Positivity Certificate through q = 10^10 and an Explicit Chebyshev-Memory Barrier -- Part 2

The prime-power checkpoint theorem reduces the pointwise Riemann-hypothesis criterion associated with Suzuki's screw function g_zeta to complete interval minima of Psi = -g_zeta. We implement that reduction as a streaming directed-rounding certificate and close all 455,062,595 pr...

The Bounded Corridor: A Regime Theory of Biological Persistence

Abstract The Bounded Corridor develops a candidate regime theory of biological persistence around a foundational question: what licenses sameness through biological change? It begins from the claim that persistence cannot be read directly from material continuity, similarity, ent...

Prime-power checkpoints for the Riemann zeta screw function: Plastic-Constant Convexity and a Restricted Legendre--Mangoldt Representation -- Part 1

Masatoshi Suzuki's Riemann-zeta screw function gζ has the associated real positivity function Ψ = −gζ, and his pointwise criterion makes the Riemann hypothesis equivalent to Ψ(t) ≥ 0 for every real t. We show that after the first arithmetic event its smooth reservoir is strictly...

Dissolving the Mentaculus: How Quantum-Geometry Dynamics Accounts for Time's Arrows Without a Statistical Postulate

Albert and Loewer’s Mentaculus is an ambitious unification project that aims to account for the reversibility problem, the thermodynamic arrow of time, the epistemic arrow, the influence and causal/counterfactual arrows, the applicability of statistical reasoning to macroscopic r...

Physical Irreversibility in Quantum-Geometry Dynamics: Dynamics in Discrete Space as the Origin of the Arrow of Time, the Second Law, the Thermodynamics, the Measurement Problem, and the Limits of Quantum Computing

The fundamental laws of classical mechanics, quantum mechanics, and general relativity are time-symmetric, yet macroscopic experience is irreversible without exception. Standard physics bridges this gap with statistical argument: reversal is treated as merely improbable, not phys...

Controlled-rail brachistochrones in non-stationary spacetimes: conformal symmetry, Kodama energy, and Vaidya dynamics

What is the fastest constrained worldline in a spacetime that is itself evolving? In a stationary spacetime the relativistic brachistochrone reduces to Fermat/Randers optics with a conserved rail energy supplied by a timelike Killing vector; in a dynamical spacetime no such conse...

B-Core Ω v0.2: The Present Between Trace and Horizon - A Read-Only Telemetry Overlay for Persistent Cognitive Systems

Version 0.2 preserves the B-Core Omega v0.1 architecture core and adds a read-only telemetry and evaluation overlay for typed past trace, authorized current frame, and future horizon. A separate deterministic synthetic sandbox supported the named temporal-role/current-binding beh...

The Replication Hypothesis: Information as a Fundamental Property of Matter and Evolution as a Continuation of Physics

Information is not a description applied to matter after the fact, but is given along with the spin and position of its smallest constituents from the very beginning. From this premise of information physics, the essay develops a hypothesis about the question of where biological...

What Licenses Sameness Through Change? A Short Orientation to the Identity-Persistence Program Toward a Structural Theory of Regime Specification

Abstract What licenses the judgment that something remains the same through change? The Identity-Persistence Program begins from the claim that, for a bounded evaluator, such a judgment cannot rely silently on an identity relation, a complete description, or an unrestricted stand...

Swartzite, CaMg[UO2(CO3)3]·12H2O: a reversible phase transition associated with hydrogen–bond ordering below 238 K

Abstract The uranyl tricarbonate mineral swartzite, CaMg[UO 2 (CO 3 ) 3 ]·12H 2 O, was investigated using single−crystal X − ray diffraction on synthetic material between 295 and 100 K. Swartzite is composed of Mg(H 2 O) 6 octahedra and {Ca(H 2 O) 6 [UO 2 (CO 3 ) 3 ]} complexes l...

Germany's Territorial Resilience Architecture Remains Incomplete

Germany’s official security discourse has increasingly embraced the concept of integrated security. The 2023 National Security Strategy, the Operational Plan for Germany, the institutionalisation of Heimatschutz, the Bundeswehr reserve network, and the country’s strong voluntary...

Resting sympathetic transduction in veterans with PTSD

Abstract Purpose Posttraumatic stress disorder (PTSD) is associated with autonomic dysregulation characterized by heightened sympathetic nervous system and reduced parasympathetic nervous system activity that contribute to increased cardiovascular risk. Prior work has shown that...

Giant anomalous exciton-multiphoton nonlinearities in layered hybrid perovskites

Abstract Directly full-color frequency-upconversion under high-order multiphoton absorption (MPA) nonlinearities in NIR-III (1550–1870 nm) and NIR-IV (2100–2300 nm) windows is highly desirable for advanced photonics and bioimaging. However, it has remained beyond the reach of cur...

BIDS Extension Proposal 40 (BEP040): fUSI-BIDS

This specification extends the Brain Imaging Data Structure (BIDS) Specification for functional ultrasound imaging (fUSI) of the brain. The fUSI-BIDS specification is designed to standardize collections of ultrafast power Doppler scans acquired using any functional ultrasound ima...

Data-driven nonlinear shear force–slip modeling for automated optimization of grouped studs in steel–precast concrete composite bridges

Abstract In composite bridges incorporating precast concrete components, the behavior of grouped stud connectors becomes increasingly complex due to nonlinear interactions governed by additional design variables such as stud group arrangement and the geometric and material charac...

All-degree polynomial first-integral rigidity on a Darboux locus of a Chazy-type family

We study polynomial first integrals of the two-parameter third-order family $p'''+p p''+(b+1)(p')^2+(q p^2+e)p'=0,\qquad e\in\C^\times.$ After the polynomial change of variables \(y=p'\), \(w=p''+p p'\), the associated three-dimensional vector field contains a distinguished Darbo...

Subtype-specific ZMYND10 expression as a potential novel prognostic and treatment marker for ER-positive/HER2-negative breast cancer

Abstract Breast cancer (BC) is a heterogeneous malignant tumor that currently lacks reliable biomarkers. Identifying such biomarkers would enable better risk stratification and present potential treatment options for estrogen receptor positive/human epidermal growth factor recept...

The Grand Unified Theory of Everyone Thinking They're Right

A formal analytical treatment of the persistent human tendency to assume personal correctness. The paper introduces a set of mathematical constructs describing confidence inflation, evidence minimisation, and the collapse of humility under social pressure. It defines the Rightnes...