April 2026
5 submissions active in April 2026
Anchored Accumulation Calculus: Mellin Diagonalization and Operator-Theoretic Classification of Scale-Covariant Memory
cats: Functional Analysis
We formalize Anchored Accumulation Calculus (AAC), an operator-theoretic framework for scale-covariant memory on the multiplicative group R+. By defining memory as causal accumulation along exponential scale trajectories, we establish that AAC operators on a dense core are unitarily equivalent to translation-invariant Fourier multipliers. This construction allows us to define the...
Linguistic Markers of Suicide Ideation: A Comprehensive Analysis with Evidence from African Digital Contexts
cats: Natural Language Processing, Psychological Assessment
Suicide remains a critical global public health challenge, with over 700,000 deaths recorded annually worldwide (World Health Organization, 2021). The proliferation of digital communication platforms has provided researchers with unprecedented access to linguistically rich data through which suicidal ideation may be detected and studied. This paper presents a comprehensive analysis...
A Phenomenological Background-Excitation Model of Light Propagation: The Impact-Triggered Flash Cascade (ITFC)
cats: Field Theory, Quantum Field Theory, Quantum Mechanics
The Impact-Triggered Flash Cascade (ITFC) Model: A Quantum-Interpreted Background Framework for Light Propagation To address this question, we propose the Impact-Triggered Flash Cascade (ITFC) model, in which an unobservable background of degrees of freedom (U) supports localized excited states (U*) triggered by contact with a high-speed driver (P). The observable...
Entropic Scalar EFT - From Entanglement Microstructure to Gravity and Cosmic Structure
cats: Cosmology, General Relativity, Quantum Field Theory, Quantum Information
We propose that the vacuum has a finite local entanglement capacity and that matter consists of localized defects of that substrate. General relativity emerges as the low-energy capacity geometry rather than being assumed independently. A minimal tetrahedral microstructure determines, with no free parameters, all coefficients of a covariant scalar EFT...