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This work aims to refine the understanding of structural dynamics in the LOGOS system through symmetry considerations and time modulation effects.

June 1, 2026Open Access

The LOGOS Framework (v11): Z₂ Symmetry Breaking and Time Warping as Structural Boundary Conditions

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Randomized trial investigates Z₂ symmetry and time warping effects in the LOGOS framework, implying innovative structural insights.

This work aims to refine the understanding of structural dynamics in the LOGOS system through symmetry considerations and time modulation effects.
Introduced controlled even-order perturbation to investigate Z₂ symmetry breaking.
Analyzed time warping effects on output characteristics under fixed delay modulation.
Calculated bit error rates to assess information retention and stability.
Identified critical threshold εc ≈ 0.12–0.20 leading to fold-of-cycles bifurcation with no observed hysteresis.
Found that time warping resulted in a bit error rate BER_τ ≈ 0.50, indicating no effective change in output.
Confirmed that gain modulation remains the only efficient information channel with BER_g ≈ 0.12.

Mustafa Serkan Taşkoyan (2026) studied this question.

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