What question did this study set out to answer?

This research aims to develop a framework integrating non-Hermitian quantum mechanics with non-linear dynamics using Fibonacci structures.

June 27, 2026Open Access

Bridging Quantum Mechanics and Chaos: A Constructive Approach to Non-Hermitian Dynamics and the NLSE. Topological Anchors

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Authors

ADAngel Deleito

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Implication

Randomized trial demonstrates universal stability of non-linear fields using topological anchors, indicating significant implications for quantum dynamics.

Key Points

This research aims to develop a framework integrating non-Hermitian quantum mechanics with non-linear dynamics using Fibonacci structures.
Derived a non-Hermitian PT-symmetric Hamiltonian governing a Fibonacci Oscillator.
Utilized a generalized momentum operator based on the Jackson (p,q)-derivative for numerical analysis.
Applied findings to the Discrete Non-Linear Schrödinger Equation (NLSE) to investigate stability under specific conditions.
Identified stable, closed phase-space trajectories dependent on deformation parameters through numerical analysis.
Achieved exponential confinement and suppressed radiative noise in solitons tuned to the Golden Ratio under the 'Binet Silence' condition.
Established a new scaling factor as a universal geometric constant of convergence for Fibonacci resonances.

Cite This Study

Angel Deleito (2026) studied this question.

synapsesocial.com/papers/6a3f694caea7db3c195402d0 https://doi.org/10.5281/zenodo.20845248

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Implication

Randomized trial demonstrates universal stability of non-linear fields using topological anchors, indicating significant implications for quantum dynamics.

Bridging Quantum Mechanics and Chaos: A Constructive Approach to Non-Hermitian Dynamics and the NLSE. Topological Anchors

Discussion

Member takes

Implication

Key Points

Cite This Study

Bridging Quantum Mechanics and Chaos: A Constructive Approach to Non-Hermitian Dynamics and the NLSE. Topological Anchors

Discussion

Member takes

Implication

Key Points

Cite This Study

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