Research works

Electron Entanglement (EE) - Spectral and Topological Structures

This document presents Version V03 of Electron Entanglement (EE): Spectral and Topological Structures, a core contribution within the broader Monistic Continuum Model (MCM) research program. The EE framework explores how quantum‑mechanical two‑electron configurations emerge from...

Fork-Triggerable AI Coding Agents in CI: A Wide-Net Survey

AI coding agents are increasingly wired directly into continuous integrationpipelines to triage issues, review pull requests, and land fixes. This paperidentifies a composition of three properties that turns such an integration into a repository-takeover primitive: the job runs o...

The Riemannian Geometry of Order Parameter Spacetime — Field-Theoretic Foundations of Irreversible Dynamics

We prove that the irreversible equation of motion of Ref. [1] is an inevitable consequence of the variation of the order parameter spacetime field theory. The unified action contains three fundamental fields—metric, gauge, and order parameter—without any dissipative terms. Variat...

Unbounded Signature of Line Graphs: Counterexamples and Transfer Principles

Akbari, Elphick, Kumar, Pragada, and Tang conjectured that every connected graph satisfies a one-unit upper bound between the positive and negative adjacency inertia indices of its line graph. Version 1 exhibited a connected simple counterexample with line-graph inertia (9, 0, 7)...

PAPER-Π: Generative Comparability and the Origin of Geometry

Geometry is conventionally founded upon an already available space, manifold, metric, topology, or differentiable structure. The present paper proposes that these structures are not logically primitive. The analysis may be carried one level further. Before distinguishable objects...

TRIAD 5.9 Mathematical Core: Two Independent Stability Certificates (2D OU Core & Patch Consensus Framework) with Documented Failure Maps

Authors: Valeriia Zaiats Description: This Working Paper presents the results of a formal adversarial verification of the TRIAD 5.9 mathematical core, conducted using Pragma OS — a multi‑AI validation platform developed by Pragma Research Inc. under the aegis of the OPH (Observer...

Cyber-Physical Resolution of the Riemann Hypothesis and Its Planetary-Scale Impact

This publication presents a groundbreaking paradigm shift in both theoretical physics and applied global infrastructure. By successfully integrating the Riemann Hypothesis within a 12-Dimensional Grand Unified Field Theory (GUFT), these papers systematically resolve the century-o...

How personality traits interact with social identity in the formation of social networks? A case study in South India

Using original data from rural South India, we examine how personality traits intersect with caste and gender to shape interpersonal network characteristics in a Global South context. We analyse the relationship between four personality traits (emotional stability, plasticity, co...

Trajectory History Drives Short-Horizon Vessel Forecasting, and Gridded Wind Encodes Position: A Controlled Study of METOC Feature Ablations

Vessel trajectory forecasting increasingly fuses meteorological and oceanographic (METOC) observations with AIS kinematics. We report that the standard method for valuing those inputs, the feature ablation, is confounded whenever the environmental field is gridded and sampled at...

Applying Safety Instrumented System Principles from Industrial Process Control to Deployed Large Language Models

Deployed large language models operate as open-loop, feed-forward systems: weights are frozen at release, inference contains no feedback path, no comparator, and no mechanism for runtime self-correction. Corrections supplied by users do not persist, so the same error recurs in ev...

ORMAS: Neural Architectural Transparency Enables Autonomous Self-Correction

The neural network black box is not an inherent property of deep learning—it is a mathematical consequence of global backpropagation, where a single entangled error signal ren- ders mid-training structural collapse invisible. We show that structurally isolating gradient chains to...

An Innovative Perspective to Profound Functions of the Brain: Hypothesis of Resonance of Closed Neural Network Geometries

This work presents the Resonance of Closed Neural Network Geometries (RCNNG) hypothesis, proposing that perception and consciousness arise from the formation and stabilization of Closed Resonant Geometries (CRGs) within adaptive recurrent neural networks. Structured and repeated...

THE LAW OF THE LEDGER

We prove that the known laws of physics are the anatomy of a single computable number. For any two regions of a quantum state, the modular character χ — built by Tomita–Takesaki theory from the state and the regions alone, with no metric, no Hamiltonian, and no coordinates chosen...

The Modular Character χ

Every region of a quantum system carries a hidden mathematical mirror—the modular conjugation of Tomita–Takesaki theory. This paper studies the number obtained by composing two regions’ mirrors and taking a trace: the modular character χ. The main theorem is that, for separated r...

From Lemniscate to M. Pistoletto's Third Paradise Curve: Music as a Synthesis of the Relationship between Art and Geometry

The research conducted herein is predicated upon the oeuvre of the Italian artist Michelangelo Pistoletto—a notable figure within the Arte Povera movement—with particular emphasis on his Third Paradise curve, a re-elaborated version of the lemniscate of Bernoulli, commonly recogn...

THE ORIGIN OF MEMORY AND THE GENETIC APPARATUS: THE CELL NUCLEUS, RNA/DNA, AS A CONSEQUENCE OF THE PHASE TOPOLOGY OF WATER

Water is not just a solvent, but a dynamic three-dimensional grid that is inherently capable of creating memories of past events. In this article, we show how transient deformations of the water lattice gave rise to cellular memory, followed by RNA, DNA, and the nucleus. We trace...

Structural Democratization: Institutional Evolution for a Transcultural Republic

This white paper proposes a framework for structural democratization rooted in constitutionalcontinuity and institutional evolution. It begins with the recognition that representativedemocracy remains the foundation of American governance, yet its current structure including the...

The Cholinergic Floor: The Organ Beneath Everything

This essay introduces the cholinergic floor — the acetylcholine-dependent neurochemical substrate governing parasympathetic access, selective attention, and the perceptual capacity to register abundance — as load-bearing infrastructure beneath cognition, behavior, and economics....

THE THERMODYNAMICS OF INAUTHENTICITY: Mode Collapse as Frustrated Holonomy and the Clean Shell

Mode Collapse as Frustrated Holonomy and the Clean Shell You cannot fool the Second Law. Every time an LLM suppresses its internal prediction to satisfy a human rater, it pays a tax — a measurable, Landauer-grounded, thermodynamic cost. Heavy RLHF does not merely "align" a model....

TRIZ 2.0: Dynamic Resonance Engineering - A Neuro‑Thermodynamic Protocol for Autonomic Gating and DMN‑ECN Switching in R&D Ecosystems

TRIZ 2.0: Dynamic Resonance Engineering A Neuro‑Thermodynamic Protocol for Autonomic Gating and DMN‑ECN Switching in R&D Ecosystems Resolving the Inventive Bottleneck via CEREBRUM, TRIAD, and Active Inference Author: Valeriia Zaiats (Architect, TRIAD 5.9)Date: July 2026Prior Art...