Research works

Institute Research Agenda V1.2

opened at Institute launch V. 1.2: Adds Programme H (Title-Location Atlas).

Reconstructing Journal Thematic Identity from Article-Level Topics: A Reproducible Framework and a Preregistered Temporal Validation

Journals are conventionally described by editorial subject classifications, yet what a journal actually publishes need not coincide with its assigned label. We present a framework for reconstructing a journal's thematic identity from article-level evidence while maintaining a str...

Structural analysis of the signless Brouwer conjecture: projection thresholds, extremal families, and the Laplacian–signless gap

We study the signless Brouwer conjecture (Ashraf–Omidi–Tayfeh-Rezaie): the inequality S_k(Q) ≤ m + C(k+1,2) for the sum of the k largest eigenvalues of the signless Laplacian Q = D + A of a graph with m edges, where C(k+1,2) denotes the binomial coefficient (k+1)(k)/2. We develop...

Isometric bending discriminates intrinsic from extrinsic curvature coupling of nematic order in skin

Oriented structures in skin — hair and feather follicle axes, collagen bundles, elongatedepithelial cells — can be coarse-grained into a tangential nematic order parameter on acurved surface. Such a field couples to geometry in two physically distinct ways: intrinsically,through...

The Limits of Sacred Authority: Consent, Withdrawal, and Non-Imposition in Religious Jurisdiction

Religious traditions may teach exclusive doctrines, organize rites, credential specialists, control offices and membership, refuse recognition, and end association. This paper does not decide whether the individual, lineage, community, ancestral line, or land is the primary beare...

Adsorption Behavior and Mechanistic Study of Arsenic Removal from Water Using Lanthanum Cobalt Ferrite Nano Composite Materials

The presence of arsenic in water bodies is one of the most important environmental and public health issues worldwide because of its persistence, toxicity, and cancer-causing properties. Water treatment technologies have been widely used have some drawbacks such as low efficiency...

Clients’ views and experiences of individual placement and support: an employment program for people in treatment for substance use

Background Individual Placement and Support (IPS) was originally developed to help people with serious mental illnesses into competitive employment but has recently shown positive results when delivered to people in treatment for substance use. This paper explores clients’ views...

How Has Maneuverability Shaped Combat Aircraft Design, and How It Might Shape Fixed-Wing Interceptor Drones and Interception as a Whole.

The importance of maneuverability has repeatedly risen, declined, and reemerged throughout the history of military aviation as technology and combat doctrines evolved. “Maneuverability is, in its simplest definition,generating and redirecting momentum.” In practice, however, it e...

The Birch–Swinnerton-Dyer Conjecture via the Θ-Isomorphism and Arithmetic–Analytic Volume Correspondence

Version 2 (August 5, 2026): This paper presents a full unconditional global proof of the Birch–Swinnerton-Dyer conjecture for all rational elliptic curves, superseding Version 1. The proof establishes two core results: (1) the equality between algebraic rank and analytic rank; (2...

Closing the per-field reduction: collar contraction, the stretched road, and a certified minimax for the complex sin²-algorithm

We prove a per-field periodicity theorem for the complex sin²-algorithm: for every cubic field K of signature (1,1) and every order of K, with constants γ=51/50, m₀=10, κ=1 independent of the field and state, the selected greedy orbit of every admissible initial state is eventual...

k-Flip Theory / Volume D: Gravity & Cosmology (rev50c) — Lag, Conversion Rate, and Gray Dimming

This paper is Volume D of the massive 50th revision (rev50c) of the "k-Flip Theory." Abandoning continuous spacetime and classical mechanics, this deterministic framework reconstructs gravity and cosmology entirely through discrete record updating and "flipping points." Volume D...

k-Flip Theory / Volume B: Quantum (rev50c) — Entanglement, Censorship, and the Anatomy of 2√2

This paper is Volume B of the massive 50th revision (rev50c) of the "k-Flip Theory." Stripping physics down to its absolute barest bones, this framework replaces quantum mysticism with strict geometric accounting rules based on discrete "flipping points." Volume B takes on the ul...

Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity

Starting from the retarded solution of linearized General Relativity and coarse-graining over galactic scales, a minimal constitutive law emerges — one that requires no new particles, only a finite relaxation time for the weak-field geometric response. The same framework predicts...

k-Flip Theory / Volume A: Grammar (rev50c) — The Ledger of Existence and the Derivation of 12

This paper is Volume A of the massive 50th revision (rev50c) of the "k-Flip Theory." Applying Occam's razor to its absolute limit, this deterministic, falsifiable framework discards continuous space, fundamental fields, and static edges. What remains is a single primitive: the "f...

Spin as a Transformation Class of Rotating Wave Modes

This note examines the hypothesis that the wave function is a combination of rotating and non-rotating wave modes, spin expressing the rotation of these components rather than the rotation of a particle-like object. For the photon the hypothesis is nearly literal: the transverse...

A Dynamical Bridge from Tearing-Mode Torque Balance to Forced Kuramoto Dynamics: Coherent Forcing Geometry and Mode Locking

Mode locking of tearing modes is a major precursor to tokamak disruptions. We show that the overdamped torque balance for a tearing-mode island interacting with an error field is exactly the Adler phase-locking equation and, for multiple resonant surfaces, has the form of a heter...

Deriving the Cosmic Microwave Background via Substrate Loss in Phase-Shift Cosmology

This paper presents the thermodynamic closure of Phase‑Shift Cosmology (PSC), demonstrating that a dual‑channel energy loss mechanism — geometric phase‑shift loss and harmonic substrate loss — naturally drives the vacuum reservoir to a stable equilibrium temperature of 2.73 K wit...

Decentralized GNSS at global scale via graph-aware diffusion adaptation

Abstract Network-based Global Navigation Satellite Systems (GNSS) support critical infrastructure and autonomous systems, but centralized processing hubs limit scalability, resilience, and latency. We present a global-scale decentralized GNSS architecture that jointly estimates r...

AI Cannot Be Sovereign: Affective Uptake, Terminal Accountability, and the Limits of Procedural Legitimacy

This working paper argues that advanced artificial intelligence may improve prediction, consistency, optimization, administrative efficiency, and even procedural design, but these achievements do not by themselves generate legitimate political authority. The central question is n...

Zero-Infinity Dimensional Recursion (ZIDR): Resolving High-Redshift Anomalies and Deriving the CMB Power Spectrum

Zero-Infinity Dimensional Recursion (ZIDR): Resolving High-Redshift Anomalies and Deriving the CMB Power Spectrum Version 6 introduces the formal CMB power spectrum derivation, geometric dispersion modeling, and expanded theoretical components of the Zero-Infinity Dimensional Rec...