Dimensional Transition Threshold via Quantum Deformation: A Theoretical and Numerical Validation

In this study, we propose a new dimensional transition parameter defined as B = de / t, where de is the quantum deformation constant (J·s), and t is the transition time (s). This parameter aims to quantify the minimum energy threshold required to trigger quantum-level dimensional transitions. Theoretical consistency is established through dimensional analysis, and numerical validation is conducted by comparing B values with experimental data from the 2011 Dynamic Casimir Effect experiment at Chalmers University. The results demonstrate that optimized values of de and t allow the proposed B parameter to align closely with the experimentally observed photon energy (~3.578 × 10⁻²⁴ J).The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.