LIGHTWELL
Lightwell Institute for Open Science•Formal Publications & Preprints•ORCID: 0009-0002-8487-759X

Publications, Preprints &
Formal Research Papers

Principal Investigator: Dr. Michael Forsythe Robinson

This index contains our peer-reviewed papers, open-access OSF preprints, formal proofs, and technical monographs. All research is accompanied by open-source code and public datasets under CC-BY 4.0 licenses.

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Clinical & Metabolic FEP2026
OSF Preprints (Open Science Framework)

Free Energy Principle Framework for Continuous Glucose Monitoring & Metabolic Screening

Author: Dr. Michael Forsythe Robinson

This paper establishes a mathematical framework applying Karl Friston’s Free Energy Principle (FEP) to 10-day continuous glucose monitoring (CGM) telemetry. We construct a 3-gate diagnostic protocol measuring prediction error minimization across metabolic state transitions.

Formal Expression
\[ Z_{\text{lag}} = \frac{\Delta_{\text{CGM}} - \bar{\Delta}_{\text{perm}}}{\sigma_{\text{perm}}} > 2.58, \quad p < 0.001 \]
OSF Preprint
GitHubLive System
Biometeorology & Plasma2026
Journal of Planetary Biometeorology & Environmental Health

Planetary Geomagnetic Activity & Sudden Unexplained Nocturnal Death Syndrome: A 21-Year CDC Cohort Analysis

Author: Dr. Michael Forsythe Robinson

An exhaustive 21-year epidemiological investigation of CDC NVSS mortality data (2000–2020) analyzing nocturnal cardiac mortality spikes against planetary geomagnetic indices (planetary Ap and Kp). Regression reveals a highly significant nocturnal interaction effect (β2 = 0.5538, p = 0.0113).

Formal Expression
\[ \log(\mathbb{E}[Y_t]) = \beta_0 + \beta_1 \text{Ap}_t + \beta_2 (\text{Ap}_t \times \text{Nocturnal}_t) + \mathbf{\gamma} \cdot \mathbf{C}_t \]
GitHubLive System
Epistemic Calculus & AI2026
International Conference on Formal Systems & AI Safety

3-6-9 Epistemic OS: Non-Monotonic Model Belief Revision & Autonomous Safety Verification

Author: Dr. Michael Forsythe Robinson

Formulates an AGM-compliant non-monotonic belief revision calculus (K ∘ A) for autonomous agent architectures. The 3-6-9 protocol guarantees zero belief regret and bounded O(1) state transitions during safety-critical model updates.

Formal Expression
\[ (K \circ A)(S) = \min_{\preceq_S} \{ S' \in \mathcal{S} : S' \models A \} \]
GitHubLive System
Biometeorology & Plasma2025
Severe Atmospheric Electrodynamics Quarterly

Plasma-Assisted Boundary Dynamics & Material Damage Memory in Severe Tornadic Cores

Author: Dr. Michael Forsythe Robinson

Investigates electric field breakdown and plasma ionization in EF-5 tornadic funnels, using the 2011 Joplin tornado as a case study for coupled electrodynamic convective boundary conditions.

Formal Expression
\[ \mathbf{J} = \sigma (\mathbf{E} + \mathbf{u} \times \mathbf{B}) + \rho_e \mathbf{u} \]
GitHubLive System
Epistemic Calculus & AI2025
Journal of Computational Logic & Automated Reasoning

Spectral Convergence in Inductive Logic Engines: The Galilean-Aristotelian Sampling Architecture

Author: Dr. Michael Forsythe Robinson

Presents the GASOIRE sampling engine, which unifies Aristotelian inductive logic classification with Galilean empirical gradient optimization for zero-shot hypothesis formulation.

Formal Expression
\[ \mathcal{L}_{\text{GASOIRE}} = \mathbb{E}_{x \sim \mathcal{D}} [ \| \nabla f(x) - \mathbf{v}_{\text{obs}} \|^2 ] \]
GitHubLive System
Causal Inference & Attribution2025
Zenodo Open Science Repository

A First-Principles Hybrid Causal Attribution Framework for High-Dimensional Observational Datasets

Author: Dr. Michael Forsythe Robinson

Provides a mathematical unification of Structural Causal Models (SCM), Double Machine Learning (DML), and Shapley causal decomposition for high-cardinality observational time-series data.

Formal Expression
\[ \tau_{DML} = \mathbb{E} \left[ Y - m_0(X) - \theta(X) (D - g_0(X)) \right] \]
DOI: 10.5281/zenodo.18557680
GitHubLive System
Causal Inference & Attribution2025
Zenodo Open Science Repository

Bayesian Media Mix Modeling: Axiomatic Budget Allocation & Hill Saturation Dynamics

Author: Dr. Michael Forsythe Robinson

Derives closed-form Bayesian posterior allocations using No-U-Turn Sampler (NUTS) MCMC with parameterized Hill saturation and Geometric Adstock decay functions.

Formal Expression
\[ f(x) = \frac{x^K}{S^K + x^K}, \quad a_t = \sum_{l=0}^L \alpha^l x_{t-l} \]
DOI: 10.5281/zenodo.18599386
GitHubLive System
Epistemic Calculus & AI2024
Digital Humanities & Archival Science Communications

The Library of Trasumanar: An Open Scientific Corpus of 1,300 Classical & Hermeneutic Texts

Author: Dr. Michael Forsythe Robinson

Curates and digitizes a 1,300-text open-access corpus for evaluating cross-domain structural analogy algorithms and computational ontology compression models.

Formal Expression
\[ H_{\text{corpus}} = -\sum_{i=1}^N P(x_i) \log_2 P(x_i) \]
GitHubLive System