The fluid process underlying quantum mechanics

Hiromoto Susawa

ZhenFeng BIAN

Abstract The instantaneous superluminal synchronization of quantum entanglement is one of the most core and controversial fundamental problems in modern quantum mechanics. For a century, Einstein’s hidden variable hypothesis based on local realism and Bohr’s interpretation of quantum randomness have never been self-consistently compatible, forming a classic physical paradox: why entangled particles can achieve instantaneous state synchronization at spacelike intervals without violating the principle of constancy of light speed. Traditional quantum mechanics only describes the phenomenon mathematically through wave function collapse and fails to reveal the underlying physical mechanism of entanglement synchronization. Based on the FQ Gravitational Pressure Unified Field Theory, this paper takes the global graviton fluid as the underlying cosmic medium and establishes a quantum homologous vortex topological channel model. This study proves that entangled particle pairs are not independent individuals in three-dimensional space, but dual vortex topological structures homogeneously differentiated from the underlying graviton fluid. They form a rigidly connected system relying on high-dimensional continuous topological channels and are constrained by global flux conservation. Through the derivation of fluid pressure difference perturbation and instantaneous topological stress transmission, this paper completely restores the physical process of quantum observation collapse and state synchronization, and explains the essential mechanism of delay-free quantum entanglement synchronization at the fundamental physical level. The proposed model perfectly avoids the paradox of superluminal signals and thoroughly resolves the century-long debate between hidden variables and pure randomness. It provides a novel fluid mechanics paradigm for quantum entanglement, quantum correlation and quantum nonlocality, and further optimizes the microscopic quantum framework of the FQ Unified Field Theory. 摘要 量子纠缠的瞬时超距同步现象是现代量子力学最核心、争议最大的基础难题之一。百年以来,爱因斯坦定域实在论的隐变量假说与玻尔的量子随机性解释始终无法自洽兼容,形成物理学经典悖论:纠缠粒子为何可在类空间隔下实现瞬时状态同步,且不违反光速不变原理。传统量子力学仅能通过波函数坍缩对现象进行数学描述,无法揭示纠缠同步的底层物理机制。本文基于FQ引力压统一场论体系,以全域引力子流体为宇宙底层介质,建立量子同源旋流拓扑管道模型。本文证明:纠缠双粒子并非三维空间独立个体,而是底层引力子流体同源分化的双旋流拓扑结构,二者依托高维连续拓扑管道形成刚性连通体系,具备全域通量守恒约束。通过流体压差扰动与拓扑应力瞬时传递推导,完整还原量子观测坍缩与状态同步的物理过程,从底层解释量子纠缠无延时同步的核心本质。该模型完美规避超光速信号悖论,彻底消解隐变量与纯随机的百年争论,为量子纠缠、量子关联及量子非定域性提供全新流体力学底层范式,进一步完善FQ统一场论的微观量子体系架构。

Chia‐Liang Lin, Tsu-Hsu Yen

Joan Vázquez Molina

This PhD thesis is submitted as a \emph{compendium} of the articles \cite{NS, holographic, topological}. The following has been adapted from their abstracts. Quantum mechanics has been argued to be a coarse--graining of some underlying deterministic theory. Here we support this view by establishing mappings between non-relativistic quantum mechanics and thermodynamic theories, since the latter are the paradigm of an emergent theory. First, we map certain solutions of the Schroedinger equation to solutions of the irrotational Navier--Stokes equation for viscous fluid flow. Although this is formally a generalization of Madelung's hydrodynamical interpretation, the presence of a viscous term leads to a novel interpretation. As a physical model for the fluid itself we propose the quantum probability fluid. It turns out that the (state--dependent) viscosity of this fluid is proportional to Planck's constant, while the volume density of entropy is proportional to Boltzmann's constant. Stationary states have zero viscosity and a vanishing time rate of entropy density. On the other hand, the nonzero viscosity of nonstationary states provides an information--loss mechanism whereby a deterministic theory (a classical fluid governed by the Navier--Stokes equation) gives rise to an emergent theory (a quantum particle governed by the Schroedinger equation). Then, we present a map of standard quantum mechanics onto classical thermodynamics of irreversible processes. In particular, the propagators of the quantum harmonic oscillator are mapped to the conditional probabilities that solve the Chapman-Kolmogorov equation for Markovian Gaussian processes. While no gravity is present in our construction, our map exhibits features that are reminiscent of the holographic principle of quantum gravity. Finally, the classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of thermostatics to topological field theory is also discussed in the context of the approach of emergence of quantum theory, where the concept of entropy plays a key role.

Aage Bohr, Ben R. Mottelson, Ole Ulfbeck

Pedro Fernández de Córdoba, J. M. Isidro, Joan Vázquez Molina

Quantum mechanics has been argued to be a coarse-graining of some underlying deterministic theory. Here we support this view by establishing a map between certain solutions of the Schroedinger equation, and the corresponding solutions of the irrotational Navier–Stokes equation for viscous fluid flow. As a physical model for the fluid itself we propose the quantum probability fluid. It turns out that the (state-dependent) viscosity of this fluid is proportional to Planck’s constant, while the volume density of entropy is proportional to Boltzmann’s constant. Stationary states have zero viscosity and a vanishing time rate of entropy density. On the other hand, the nonzero viscosity of nonstationary states provides an information-loss mechanism whereby a deterministic theory (a classical fluid governed by the Navier–Stokes equation) gives rise to an emergent theory (a quantum particle governed by the Schroedinger equation).