1p-EG-8 Quantum Fluid Dynamics を用いた数値計算

謙二 福島, 正司 氷見

正司 氷見, 謙二 福島

Chia‐Liang Lin, Jenn‐Kun Kuo, Tsu-Hsu Yen

Masashi Himi, Kenji Fukushima

Michael I Aksman

We have established the mathematical foundation of the 220-dimensional arithmetic firewall within the fluidvacuum:N = 861 Z72 −−→ 12 Sectors Λ3(C12)−−−−−→ dim(Hbulk) = 123= 220.The framework is secured by three proved theorems:• Theorem A: Identical operator commutation [H0, P] = 0, guaranteeing subspace invariance. 10• Theorem B: Disjoint spectra spec(Hbulk)∩spec(Hbdry) = ∅ with an explicit spectral gap ∆bulk > 0.• Theorem C: High-order perturbative decoupling ∥Q(H − E)−1P∥ ≤ O(∥V ∥2/∆bulk), establishingprotection against dissipative leakage.By demonstrating that the collective stiffness matrix satisfies λmin(K) > 0 and the effective eddy viscositycancels (ηeff = 0), this construction establishes a rigorous, falsifiable mechanism for coherent macroscalequantum phenomena in continuous media.

Jincheng Zhang

Quantum-Enhanced Fluid Dynamics Simulation (QEDS) presents a novel approach to complex fluid dynamics simulation, leveraging the principles of quantum mechanics to accelerate calculations and enhance the fidelity of results. Traditional CFD methods often struggle with computationally intensive scenarios, particularly those involving extreme conditions and high dimensionality. QEDS aims to overcome these limitations by integrating quantum effects into the simulation process. This paper explores the fundamental concepts behind QEDS, detailing the core mechanism for achieving enhanced performance, and discussing potential applications across diverse fluid dynamics domains.