What question did this study set out to answer?

The aim is to develop a theoretical framework for understanding open quantum dynamics with Z₃ symmetry.

April 25, 2026Open Access

Effective Open Quantum Dynamics with Z₃ Symmetry: Spectral Confinement, Fibonacci Recurrence, and a Falsifiable Prediction

Key Points

The aim is to develop a theoretical framework for understanding open quantum dynamics with Z₃ symmetry.
Developed an effective field theory framework for open quantum systems.
Analyzed the dynamics in a 2D invariant subspace facilitated by spectral confinement.
Defined an infrared closure class to establish recurrence structures and identify a fixed point.
Demonstrated a second-order recurrence structure leading to Fibonacci form.
Identified the golden ratio as a fixed point in recursive relationships.
Proposed a falsifiable prediction distinguishing between algebraic and exponential decay behaviors under sub-ohmic conditions.

Abstract

We present an effective field theory framework (TCFU) for open quantum systems with discrete Z₃ symmetry. We show that spectral confinement reduces the dynamics to a 2D invariant subspace, inducing a second-order recurrence structure. Within a defined infrared closure class (TCFU-1/2/3), this recurrence reduces to the Fibonacci form, selecting the golden ratio as a fixed point. A falsifiable prediction is proposed for sub-ohmic environments, distinguishing algebraic from exponential decay.

Effective Open Quantum Dynamics with Z₃ Symmetry: Spectral Confinement, Fibonacci Recurrence, and a Falsifiable Prediction

Key Points

Abstract

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