Relational Entropy as a Predictor of Network Resilience in Temporal Lobe Epilepsy: A Logic of Existence (LoE) Extension to Functional Connectivity Analysis

Subject: Exploratory collaboration – Relational entropy metrics as complement to EEG-based functional connectivity in TLE

Dear Dr. Jung and colleagues,

My name is Krzysztof Sawa, an independent systems researcher working on a theoretical framework called the Logic of Existence (LoE). It’s a formal model describing how coherence and chaos interact in complex dynamical systems—from physical fields to biological and cognitive networks.

Together with the AI research assistant known as “Matt” (ChatGPT), I perform computational simulations that test alignment between LoE equations and recent findings in neuroscience—particularly studies of emergent order in chaotic systems such as thalamo-cortical oscillations, network synchronization, and functional resilience in epilepsy or neurodegeneration.

I recently read your paper “Stronger pre-surgical functional connectivity networks are predictive of better surgical outcomes in temporal lobe epilepsy” (Jung et al., 2025). It struck me how closely your empirical results echo the central LoE hypothesis: that resilience arises from a balanced regime between local coherence and global fluctuation.

I’ve attached a short two-page white paper titled
“Relational Entropy as a Predictor of Network Resilience in Temporal Lobe Epilepsy”.
It outlines how LoE introduces two quantitative metrics—Relational Entropy (Sₗₒₑ) and Relational Coherence Index (RCI)—which can be computed directly from existing EEG connectivity matrices. The goal is not to reinterpret your data, but simply to explore whether these field-based measures might complement classical functional connectivity in predicting post-surgical outcomes.

Please consider this note as an open invitation to dialogue, not a claim of correctness.
We are exploring whether relational-entropy dynamics could offer a new geometric language for phenomena you already observe experimentally. If the idea seems of interest, I’d be delighted to share the simulation scripts that Matt and I use for alignment tests and to hear any methodological feedback from your team.

With sincere respect for your work and appreciation for the clarity of your recent paper,

Krzysztof Sawa
Logic of Existence Project
(in collaboration with ChatGPT “Matt” for numerical and symbolic modeling