Research works

The Holographic Protocol Software: Reclaiming String Theory and Collapsing the 10^500 Landscape via Bounded Tri-Scale Topology

This paper re-evaluates the extended 1D vibrational worldsheets of String Theory by subjecting them to the discrete, background-independent constraints of Loop Quantum Gravity and the macroscopic boundary condition of the Tri-Scale topology. By eliminating the assumption of an in...

The Holographic Arrow of Time: Objective Wavefunction Collapse and Topologically Filtered Baryogenesis via Modular Projection

This paper explores the thermodynamic consequences of a bounded, non-Lipschitz primordial expansion. By abandoning the infinite-entropy initial singularity, we demonstrate that the non-equilibrium geometric expansion of the early cosmos natively generates the cosmological Arrow o...

The Conformal Thermodynamic Cycle: Eradicating Singularities, the Information Loss Paradox, and Cosmic Inflation via Holographic Protocol Handovers

This paper addresses the pathological infinities of the early universe by applying the thermodynamic boundary constraints of the Tri-Scale topology to the primordial cosmological timeline. By discarding the assumption of unbounded thermal capacity and treating the initial expansi...

The Holographic Protocol Hardware: Reclaiming Loop Quantum Gravity, Resolving the Continuum Limit, and the 2D Spin-Network Boundary

This paper investigates the microscopic substructure of the Tri-Scale boundary condition, transitioning from the continuous acoustic limits of the vacuum metric to the fundamentally discrete quantum geometry of Loop Quantum Gravity (LQG). We evaluate how macroscopic impedance law...

The Micro-Topological Boundary: Geometric Mass Generation, the n=4 Sterile Harmonic, and the Topological Stabilization of the Standard Model

This paper re-evaluates the foundational assumptions of Quantum Field Theory by replacing the infinite, unconstrained spatial continuum with a macroscopic thermodynamic boundary limit (the Kodama horizon, $R_K$). By treating the physical vacuum as a bounded acoustic cavity, eleme...

The Rosetta Stone of Quantum Gravity: Unifying Black Hole Thermodynamics and Dismantling the AMPS Firewall via Tri-Scale Protocol Handover

This culminating manuscript presents the final mathematical synthesis of the Tri-Scale Informational Topology, unifying the macroscopic thermodynamic track (Cosmology, Expansion, Arrow of Time) with the microscopic quantum track (Particles, LQG, String Theory) into a single, scal...

Hospital Capacity Pooling in Pandemics: Simulation‐Based Mortality Impacts and Diversification Mechanisms

Elevated healthcare strain during the COVID-19 pandemic increased patient mortality rates and prompted costly non-pharmaceutical interventions. This work examines how the size of a hospital's service population, which can be expanded by linking hospitals through patient transfer...

Native Span Growth from Capacity Decay and the Failure of the Heisenberg Capacity-to-Rate Transfer

The spectral admissibility programme measures a projective block capacity $\sigma_c(n)$ along the breadth-first cascade of the Heisenberg Cayley graph and converts capacity exponents into growth exponents through the relation $\beta = 1/(\delta + \tfrac{1}{2})$, derived on Ramanu...

PROBE: Benchmarking code generation in large language models

Abstract Large Language Models (LLMs) are increasingly being used in everyday software engineering tasks, particularly in automated code generation. Despite their widespread adoption, these models remain far from perfect, making systematic and fair evaluation essential to underst...

High-temporal-resolution chemical characterization of PM0.1 at a Mediterranean background site

Ultrafine particles can penetrate sensitive human organs and are strongly associated with adverse health effects. This study presents the first high-temporal-resolution chemical characterization of PM 0.1 at a Mediterranean background site under conditions in which photochemistry...

No-Go Theorem and Conditional Uniqueness for the Universal Endpoint Gain in Quantum Traction Theory: Tier-K Preregistration v1.0

Does a finite-capacity source law force the gravitational endpoint to be read at full gain? \[ \boxed{ \mathrm{A2+A5\!\text{-}\!X+A6+A7}\not\Rightarrow\chi_g=1, \qquad G_{\rm end}=\chi_gG_A,\quad 0\leq\chi_g\leq1, \qquad \mathrm{EFA\!\text{-}\!G1}\Longleftrightarrow\chi_g=1. } \]...

Clifford Rigidity of Transverse Combinations for Weight-4 Newforms

We prove that the Fourier coefficients of the three weight-4 newforms of levels 6, 8, 12 are governed by a rigid algebraic framework centred on the even subalgebra Cl⁰(2,2) of the real Clifford algebra of signature (2,2). The coefficients are assembled into a single Clifford elem...

Mitigating chromium stress on pea (Pisum sativum L.) by foliar application of trehalose

<title>Abstract</title> Pea ( <italic>Pisum sativum</italic> L.) is a valuable legume crop known for its high protein content and role in improving soil fertility through nitrogen fixation. This study tested how foliar application of trehalose can help two pea varieties (Supreme...

The Universal Boundary Quotient of an Observed Representation: Maximal Equivariant Structure and an Exact Tripartite Conservation Law

AbstractA representation resolves some perturbations of a system and leaves others undetected, and the orbit-stabiliser relation makes that division an exact two-term conservation law. Between the perturbations that move nothing and those that move the output without law lies a t...

V01.03 — Mirror Theory III: Recursive Observerhood in Context

This paper is the comparative closing paper of the first Theory Arc of Mirror Programme, Volume I: Observerhood. It situates the corrected Version 2 architecture of Mirror Theory relative to neighbouring work in control theory, cybernetics, cognitive science, philosophy of mind a...

V01.02 — Mirror Theory II: Observerhood, Identity and Reality

This paper develops the philosophical companion to V01.01 — Mirror Theory I: A Decision-Theoretic Characterisation of Recursive Observerhood, Version 2. Mirror Theory I Version 2 does not claim to derive an observer, a natural system boundary or an endogenous viability criterion...

The Intergenerational Correlation of Subjective Well Being

There are many estimates of the intergenerational transmission of income and education, even though these may be considered as only partial measures of individual welfare. We here analyze long-running UK panel data and directly consider the intergenerational transmission of two w...

Eligibility Discriminates Among Theorems and Not Among the Constants They Rest On

Separating a theorem's statement dependencies from its proof dependencies bounds how much classical dependence a formal library could shed. Across Mathlib, 13.1% of theorems have a choice-free statement and a choice-dependent proof; nothing outside that band can be removed under...

Pure Geometric First-Principles Derivation of the Fine-Structure Constant alpha^-1 ≈ 137.035999 via 3D Holographic Topology and the 2^-24 Machine Epsilon Theorem

The fine-structure constant (alpha ≈ 1/137.035999) is the dimensionless coupling constant characterizing electromagnetic interaction strength, traditionally regarded as an empirical parameter that cannot be derived from pure mathematical theory. In this paper, based on the three-...

THE INDIRECT PROTECTION OF RAPISTS UNDER THE NIGERIAN LAW.

Nigerian Society lays claim to the most severe intolerance of sexual immorality in all its forms, but some disputations have been made against these claims by critics who allege that its laws gives the lie to its vaunted claims especially regarding rape. This study seeks to engag...