Stochastic Field Modulation Formal Structure (SFM-FS)

Andrew Ryan

Published Dec 11, 2025• 0 citations

Abstract

The SFM-FS document defines the operational and analytical foundation of the Stochastic Field Modulation research programme. It provides the mathematical specification for analysing QRNG data, including baseline fingerprinting, deviation envelopes, amplitude budgets, lag-compensated synchrony metrics, noise modelling, and detection thresholds. SFM-FS establishes the standards and reproducible workflows used throughout the SFM-TFED and SFM-PT companion documents

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Stochastic Field Modulation: Theoretical Foundations & Extended Dynamics (SFM-TFED)

Andrew Ryan

SFM-TFED builds upon the analytical structure defined in SFM-FS, providing the conceptual and dynamical framework used to interpret observed features in multi-device QRNG data. It examines spatial receptivity, relaxation asymmetry, temporal onset signatures, multi-device coherence, and configuration-sensitive deviations. The document remains mechanism-neutral while organising empirical regularities into a coherent interpretive model.

Dec 11, 20250 citations

Stochastic Field Modulation (SFM) – Core Framework

Andrew Ryan

This project hosts the core research documents defining the Stochastic Field Modulation (SFM) framework: a mechanism-neutral, empirically grounded method for analysing structured deviations in multi-device quantum randomness under modulated internal states. The SFM framework has evolved from over a year of continuous experimentation using high-rate QRNG devices, environmental controls, EEG monitoring, and multi-stage signal analysis. Purpose of This Project This OSF project serves as the canonical home for the formal, citable SFM documents: SFM–FS (Formal Specification) — the operational, linearised measurement model describing how deviations are quantified, standardised, segmented, and statistically validated. SFM–TFED (Theoretical Foundations & Extended Dynamics) — the conceptual layer interpreting empirical features such as asymmetric temporal profiles, anticipatory structure, spatial receptivity, multi-device synchrony, and nonlinear relaxation behaviour. (Future) SFM–PT (Philosophical Theory) — broad interpretive considerations consistent with FS and TFED. These documents supersede earlier drafts and working notes, which now exist only as archival material in legacy OSF projects. What This Project Contains DOI-assigned citable versions of the SFM documents Versioned LaTeX source and PDF outputs Component-level documentation and wikis Cross-references between FS, TFED, and future PT layers Links to legacy experimental projects without importing their data or metadata What This Project Does Not Contain Raw QRNG bitstreams Individual session analyses Experimental QS reports EEG datasets Environmental logs These remain in their original projects for now and may be cross-linked later. Intended Audience Researchers, theorists, statisticians, and interdisciplinary scholars interested in: non-classical coherence phenomena stochastic field modelling QRNG deviations consciousness modulation protocols nonlinear relaxation dynamics statistical signal analysis in complex systems Citation Each SFM document will have its own DOI and should be cited individually.

Dec 9, 20250 citations

Stochastic Field Modulation Philosophical & Theoretical Framework (SFM-PT)

Andrew Ryan

SFM-PT develops the philosophical and theoretical positioning of the SFM research architecture. It introduces configuration as the central organising concept for interpreting structured deviations in QRNG systems, incorporating operator-present, operator-free, contextual, and environmental configurations. SFM-PT proposes the domain of configuration-sensitive stochastic systems and analyses epistemic, methodological, and ontological implications of multi-device triangulated deviations.

Dec 11, 20250 citations

Stochastic Field Modulation (SFM) Model

Ryan, Andrew, George, Adam, Jaspal Panesar (Software Developer)

Phenomenological framework (‘Stochastic Field Modulation’ model) and analysis pipeline for characterising structured deviations in multi-device QRNG output.

Jan 1, 20250 citations

Operational Manual and Guideline

Iker Ibarrola Echeverría

This document provides a complete operational guide for the correct use of the correlational physical framework developed across the foundational volumes and canonical papers of this project. The purpose of this manual is strictly methodological and technical. No new ontological assumptions are introduced. No new physical postulates are added. No empirical claims or speculative interpretations are proposed. Instead, the manual serves to: Explicitly separate ontology, formalism, realization, and interpretation. Define the admissible use of correlational configuration spaces, consistency functionals, flows, operators, and projections. Specify the precise conditions under which effective physical regimes (quantum, classical, geometric, decoherent) may be identified. Provide a complete step-by-step operational pipeline from abstract correlational configurations to quantitative physical outputs. Clarify limits, failure modes, and non-physical configurations to prevent category errors and overinterpretation. The document is intended for researchers who wish to apply the correlational framework in concrete physical contexts, construct toy models, perform numerical analysis, or compare effective predictions with known experimental data—without modifying the foundational structure of the theory. This manual should be read as a user-level technical companion to the foundational and canonical papers. It does not replace them, but ensures their correct and consistent application.

Jan 26, 20260 citations

Operational Definitions Manual UCL

Ibarrola Echeverría, Iker

This document is an Operational Definitions Manual for the Ω-Framework (Functional Quantum General Relativity / Correlational Physics). Its purpose is not to introduce new theoretical assumptions, but to define precisely how the theoretical objects of the framework are to be interpreted, instantiated, computed, and tested in practice. The manual provides a rigorous bridge between abstract correlational concepts and concrete operational procedures. Each core object of the theory—kernels, correlational amplitudes, effective observables, emergent quantities, and comparison metrics—is given a clear operational meaning: how it is constructed, what inputs it requires, what outputs it produces, and how those outputs should be compared with empirical or numerical data. Rather than functioning as a speculative or interpretative text, this document is explicitly methodological. It is designed to ensure that independent researchers can: Reproduce numerical experiments, Implement toy models and parameter scans, Compare predictions against experimental benchmarks, Identify which parts of the framework are assumptions, definitions, or derived results. Special attention is given to: Separation between definitions, conventions, and physical claims, Dimensional consistency and normalization choices, The distinction between toy models and physically testable predictions, Error measures and comparison ratios used when confronting data. This manual is intended to be read alongside the main theoretical documents of the Ω-Framework, but it is logically self-contained. No acceptance of the framework’s physical validity is required to use this document; it can be employed purely as a technical guide for implementation and falsification attempts. In short, this work serves as the operational backbone of the framework: it does not argue why the theory should be correct, but specifies how its claims are to be made precise, computed, and evaluated.

Dec 14, 20250 citations