摘要 动态平衡是自然界与人工系统中的普适现象,但连接微观量子叠加与宏观经典感知的统一框架长期缺失。本文提出BSPP(飙-刹-推-拉)理论,一个基于167ms时间晶格(τ₀)的多尺度动态平衡公理化体系。理论核心包含五个基本公理,将量子叠加态从微观领域扩展至宏观可感知的“飙-刹”叠加状态,并为任何满足可感知、可离散化、可归一化三准则的系统提供了标准化的四步解算流程。该框架的突出特征是其极简的物理可实现性:核心算法可在仅含42个逻辑查找表(LUTs)的FPGA芯片上运行,功耗低于5mW。 实验验证横跨三个层面:1)神经科学层面,脑电图(EEG)显示在BSPP声学刺激下,γ波与δ波出现同步增强,证实宏观情绪矛盾的可计算化解;2)量子物理层面,改造的光电效应实验实现了波粒二象性随观测时间窗的平滑过渡,数据精确符合理论预测;3)工程应用层面,基于BSPP的嵌入式平衡仲裁器(EBA)在混合动力汽车能量管理中提升燃油效率12.3%。 BSPP理论首次在数学、硬件与实证层面,实现了西方量子科学与东方阴阳五行思想在动态平衡这一根本问题上的统一,为跨尺度复杂系统提供了可计算、可验证、可工程化的解决方案。 KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 A Paradigm Shift in Control TheoryCDEQ V1.2 The Countable Foundation of StabilityDOI: 10.5281/zenodo.18939385 CDEQ V1.3 Mathematical Proof of the PCTT-CW Penta-Cyclic Clockwise Topological TheoremDOI: 10.5281/zenodo.18988669 CDEQ V1.4: Mathematical Proof of the CENHE-LEX Nonary Central Holding Equilibrium TheoremDOI: 10.5281/zenodo. 19023440 CDEQ V1.5 GCVT-10 Global Convergence Validation TheoremDOI: 10.5281/zenodo. 19055969 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above. Author: Jiang Wenjia (Shenzhen, China) ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com
摘要 动态平衡是自然界与人工系统中的普适现象,但连接微观量子叠加与宏观经典感知的统一框架长期缺失。本文提出BSPP(飙-刹-推-拉)理论,一个基于167ms时间晶格(τ₀)的多尺度动态平衡公理化体系。理论核心包含五个基本公理,将量子叠加态从微观领域扩展至宏观可感知的“飙-刹”叠加状态,并为任何满足可感知、可离散化、可归一化三准则的系统提供了标准化的四步解算流程。该框架的突出特征是其极简的物理可实现性:核心算法可在仅含42个逻辑查找表(LUTs)的FPGA芯片上运行,功耗低于5mW。 实验验证横跨三个层面:1)神经科学层面,脑电图(EEG)显示在BSPP声学刺激下,γ波与δ波出现同步增强,证实宏观情绪矛盾的可计算化解;2)量子物理层面,改造的光电效应实验实现了波粒二象性随观测时间窗的平滑过渡,数据精确符合理论预测;3)工程应用层面,基于BSPP的嵌入式平衡仲裁器(EBA)在混合动力汽车能量管理中提升燃油效率12.3%。 BSPP理论首次在数学、硬件与实证层面,实现了西方量子科学与东方阴阳五行思想在动态平衡这一根本问题上的统一,为跨尺度复杂系统提供了可计算、可验证、可工程化的解决方案。 KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 A Paradigm Shift in Control TheoryCDEQ V1.2 The Countable Foundation of StabilityDOI: 10.5281/zenodo.18939385 CDEQ V1.3 Mathematical Proof of the PCTT-CW Penta-Cyclic Clockwise Topological TheoremDOI: 10.5281/zenodo.18988669 CDEQ V1.4: Mathematical Proof of the CENHE-LEX Nonary Central Holding Equilibrium TheoremDOI: 10.5281/zenodo. 19023440 CDEQ V1.5 GCVT-10 Global Convergence Validation TheoremDOI: 10.5281/zenodo. 19055969 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above. Author: Jiang Wenjia (Shenzhen, China) ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com
Dynamic balance is a universal phenomenon in natural and engineered systems. However, a unified framework connecting microscopic quantum superposition to macroscopic classical perception has remained elusive. This paper introduces the BSPP (Biao-Sha-Push-Pull) Theory, an axiomatic framework for multi-scale dynamic balance founded upon the 167ms temporal lattice unit (τ₀). The theory's core comprises five fundamental axioms. These axioms extend the concept of quantum superposition to the macroscopically perceivable "Biao-Sha" superposition state and provide a standardized four-step resolution process for any system meeting the three criteria of perceptibility, discretizability, and normalizability. A defining feature of this framework is its extreme physical simplicity: the core algorithm can be implemented on an FPGA chip utilizing only 42 Look-Up Tables (LUTs) with a power consumption of less than 5mW. Experimental validation spans three distinct levels: 1) At the neuroscience level, electroencephalography (EEG) demonstrates the synchronous enhancement of γ and δ waves under BSPP acoustic stimulation, confirming the computable resolution of macroscopic emotional contradictions. 2) At the quantum physics level, a modified photoelectric effect experiment reveals a smooth transition in wave-particle duality dependent on the observation time window, with data precisely aligning with theoretical predictions. 3) At the engineering level, an Embedded Balance Arbiter (EBA) based on BSPP improves fuel efficiency by 12.3% in hybrid electric vehicle energy management. The BSPP Theory achieves, for the first time, a formal unification of Western quantum science and Eastern Yin-Yang Five Phases philosophy on the fundamental issue of dynamic balance at mathematical, hardware, and empirical levels. It provides a computable, verifiable, and engineerable solution for cross-scale complex systems. KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 A Paradigm Shift in Control Theory CDEQ V1.2 The Countable Foundation of Stability DOI: 10.5281/zenodo.18939385 A Paradigm Shift in Control TheoryCDEQ V1.2 The Countable Foundation of StabilityDOI: 10.5281/zenodo.18939385 CDEQ V1.3 Mathematical Proof of the PCTT-CW Penta-Cyclic Clockwise Topological TheoremDOI: 10.5281/zenodo.18988669 CDEQ V1.4: Mathematical Proof of the CENHE-LEX Nonary Central Holding Equilibrium TheoremDOI: 10.5281/zenodo. 19023440 CDEQ V1.5 GCVT-10 Global Convergence Validation TheoremDOI: 10.5281/zenodo. 19055969 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above. Author: Jiang Wenjia (Shenzhen, China) ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com
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.
ABSTRACT This paper establishes a definitive mathematical isomorphism between the PCTT-W factor in the CDEQ framework and the quantum superposition state |ψ⟩ = α|0⟩ + β|1⟩. The W factor is not engineering noise—it is the classical equivalent of quantum possibility itself. We demonstrate that W(t) = W_B(t) + W_S(t) shares the identical linear superposition structure with quantum states, that the squared modulus operation |W|² corresponds to quantum probability interpretation, and that GCVT convergence acts as projective measurement forcing collapse to either the stable |0⟩ state (convergence) or the excited |1⟩ state (restart). The 80-step annealing table (16384 → 819) corresponds to 80 weak measurements, and the 10-step steady-state criterion corresponds to the quantum Zeno threshold. This paper stakes a theoretical priority claim: any engineering system that seeks to implement quantum-like superposition, collapse, or Zeno dynamics in classical hardware must start from this mathematical isomorphism. We do not claim microphysical quantum reality—we claim mathematical fact. The W factor is formally identified as WILL: the teleological will and animating soul of the system, not random noise. 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 A Paradigm Shift in Control Theory CDEQ V1.2 The Countable Foundation of Stability DOI: 10.5281/zenodo.18939385 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above.