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This work aims to extend the LOGOS Framework by integrating theoretical closure with new experimental findings on information channels.

May 16, 2026Open Access

The LOGOS Framework (v10): Theoretical Closure with Post-Closure Information-Channel Findings

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Randomized trial reports new findings on information transmission in cyclic networks, indicating critical performance thresholds.

This work aims to extend the LOGOS Framework by integrating theoretical closure with new experimental findings on information channels.
Combination of theoretical closure from LOGOS v9 with numerical experiments on information transmission in cyclic networks.
Analysis of modulation channels to determine thresholds and asymmetries in information recovery.
Utilization of stochastic Hamilton–Jacobi–Bellman equations to establish critical points and Lyapunov coefficients.
A sharp threshold ε* separates linear-information from structural-shock regimes (ε* ≈ 0.20–0.30).
The nonlinearity gain g(t) shows recoverable modulation at a readout with BER ≈ 0.12, while equal-amplitude modulation yields BER ≈ 0.50 (indistinguishable from noise).
The findings confirm the information-theoretic consequences of delay-sum invariance, indicating zero Shannon capacity for specific perturbations.

Mustafa Serkan Taşkoyan (2026) studied this question.

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