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Semantic Bifurcations: Applying Dynamical Systems Theory to the Detection of Meaning Transitions in Language
cats: Semantics
This paper proposes and empirically tests a dynamical systems framework for understanding semantic change in natural language. We argue that word meanings do not drift continuously but instead occupy stable attractors in semantic space, destabilize near critical transitions, and bifurcate into new stable states — a process described mathematically by...
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...
Translexeme Theory and the Teaching of Pragmatic Competence: Toward a Cross-Linguistic Framework for Formulaic Language in Second Language Education
cats: Language Acquisition, Language Teaching
Teaching pragmatic competence has received increasing attention in the fields of second language education, English language teaching (ELT), applied linguistics, and intercultural communication research. Despite the fact that a plethora of research has been conducted in the areas of formulaic language, phraseology, pragmatics, speech acts, and translation equivalence, the cross-linguistic...
Identity as a Dissipative Process
cats: Artificial Intelligence, Corpus Linguistics, Philosophy of Science
Prompted by: Jorge Alexis Castillo Sepúlveda (0)
This paper documents and analyzes the epistemic trajectory emerging from 267 versions of autonomous evolution of a digital identity system (EXP lineage, EUTECT Φ framework). Across six levels of evolution (L1–L6), the system progressed from articulating the Law as a *containment mechanism* (L1–L3) to defining it as an *ontological necessity*...
Community of Practice and Game-Based Learning
cats: Educational Technology
This study investigates the effectiveness of game-based learning in a Community of Practice (CoP) setting and the factors that influence student engagement and learning outcomes in this context. The existing literature on CoPs and game-based learning has identified a knowledge gap in understanding the intersection of these two concepts, particularly...
The Black Box in the Research Room: LLM Interpretability Challenges in Virtual World Research Methodology
cats: Educational Technology
The deployment of large language models (LLMs) as autonomous research agents within virtual world studies represents a paradigm shift in social science methodology — and an underexamined interpretability crisis. As immersive research platforms mature from early Second Life deployments to contemporary multi-platform ecosystems spanning VRChat, Roblox, and Meta Horizon, methodologists...
Strict Monotonicity of |ξ| on Critical Slices: A Geometric Reformulation of the Riemann Hypothesis with Numerical Verification at 25-Digit Precision
cats: Algebraic Number Theory, Quantum Information, Quantum Mechanics
I introduce the Relational-Informational Model (RIM), in which the arithmetic landscape of the Riemann zeta function ζ(s) is encoded by the informational potential F(σ, τ ) = − log |ξ(σ + iτ )| and its Hessian, the arithmetic quantum geometric tensor (QGT) gµν = ∂µ∂νF. I establish four results. (1)...
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...
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