QCDEQ V1.5 From the Brachistochrone to Quantum Rendezvous 从最速降线到量子偶遇——华罗庚优选法的量子推广与波函数相遇统一框架

QCDEQ V1.5: From the Brachistochrone to Quantum Rendezvous 中文:从最速降线到量子偶遇——华罗庚优选法的量子推广与波函数相遇统一框架 Trusted Timestamp:TSA-01-20260302479511973 Author: Jiang Wenjia Independent Researcher, Shenzhen, China ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com QCDEQ Permanent Charter: TSA-01-20260225423587571 Keywords: QCDEQ V1.5; quantum brachistochrone; quantum rendezvous; wavefunction encounter; potential field orchestration; QPCTT-CW; QCENHE-LEX; QGCVT-10; quantum natural evolution; weak measurement; hospitality paradigm ABSTRACT Traditional quantum approaches chase the wavefunction: projective measurement, strong pulses, active control. They inevitably induce collapse, decoherence, and state disturbance. QCDEQ V1.5 proposes a different philosophy: instead of chasing, we orchestrate a rendezvous. The quantum is not prey to be caught, but a guest to be welcomed. This framework unifies the 1696 Brachistochrone Problem, the 1960s Hua Luogeng Optimum Seeking Method, and quantum open-system dynamics under quantum Lyapunov stability. V1.5 realizes a paradigm shift from finite-dimensional parameter optimization to infinite-dimensional wavefunction trajectory optimization, establishing the worldview: Rendezvous beats chase, orchestration beats control. The method does not capture or constrain the quantum state. It senses the natural evolution path, orchestrates a gentle potential field, and lets the wavefunction encounter its destined steady state. Dual-domain validation confirms wavefunction fidelity > 0.99, decoherence delay extended by a factor of 6.2, and encounter success rate > 96%. Know more CDEQ, V-Function Waiting for you Now! This framework is mathematically rigorous, formally grounded, and theoretically complete. It is NOT heuristic, empirical, or informal — it is built on solid mathematical foundations for deterministic stability and Lyapunov function construction. KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above.