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Time as an Emergent Entropy Current: A Physical Mechanism Based on Loop Quantum Gravity用可验证的时空准则解决相对论-量子纠缠悖论 niu, dundun
Published Jan 1, 2025 • 0 citations
Abstract 纠缠中相对论因果关系和量子非定域性之间未解决的张力构成了一个基本悖论。 我们引入了一个时空准则 L = c⟨t⟩eiφn，预先规定 ⟨t⟩ = 232.4as 和 L = 69.6nm，与 Phys. Rev. Lett. 123， 173603 （2024） 的偏差为 ¡0.2%。这统一了相对论 （L ≤ ct）、量子不确定性 （∆E∆t ≥ ħ/2） 和 ge ometric 相位 （φn = nπ/2），解决了 at tosecond 悖论。该框架能够通过 10−18 m 处的∆φ光来检测量子引力特征，推进了 Maldacena 开创的 2025 年沃尔夫奖主题
DOI 10.6084/m9.figshare.30563666 Related papers Quantum phase measurements with infinite peak-likelihood and zero phase information
Z. Hradil, Jeffrey H. Shapiro
Maximum likelihood estimation of an unknown c-number phaseshift is considered, along the lines established by Shapiro, Shepard and Wong, Phys. Rev. Lett., vol.62, p.2377, 1989. An input state is exhibited whose reciprocal peak likelihood vanishes, delta phi to 0, while its phase-measurement probability density converges, in distribution, to uniform, p( phi mod Phi ) to d 1/2 pi .
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Haiyang Liu
• Apr 18, 2026• 0 citations
纠缠中相对论因果关系和量子非定域性之间未解决的张力构成了一个基本悖论。 我们引入了一个时空准则 L = c⟨t⟩eiφn，预先规定 ⟨t⟩ = 232.4as 和 L = 69.6nm，与 Phys. Rev. Lett. 123， 173603 （2024） 的偏差为 ¡0.2%。这统一了相对论 （L ≤ ct）、量子不确定性 （∆E∆t ≥ ħ/2） 和 ge ometric 相位 （φn = nπ/2），解决了 at tosecond 悖论。该框架能够通过 10−18 m 处的∆φ光来检测量子引力特征，推进了 Maldacena 开创的 2025 年沃尔夫奖主题
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By the measurement theory of quantum mechanics and the method of Fourier transform,we proved that the wave function psi(x,y,z,t)= (8/((2(pi)(2L(exp (1/2)))(exp 3))(Phi(L,t,x)Phi(L,t,y)Phi(L,t,z)). According to the theory that the velocity of any particle can not be larger than the velocity of light and the Born interpretation, when absolute value of delta greater than (ct+ L),Phi(L,t,delta) = 0. But according to the calculation, we proved that for some delta, even if absolute value of delta is greater than (ct+L), Phi(L,t,delta) is not equal to 0.
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中文摘要 时空物理与量子精密测量的交叉融合,推动人类对时空的认知从理论思辨走向实验实证,但低能区、实验室尺度下的时空耦合效应研究,长期处于前沿空白领域。本文以科学哲学方法论为核心指引,针对该研究空白,提出α=6.2×10⁻¹⁶作为纯方法论层面的候选探测锚点,聚焦10⁻¹⁶量级空白精度区间,明确光晶格超冷原子干涉实验、高精度光晶格原子钟实验、玻色-爱因斯坦凝聚态(BEC)量子测量实验三项冷原子实验,以及热原子束干涉实验、商用铷原子钟实验、常规原子干涉仪实验三项非冷原子实验,构建“当前信号筛查与量级标定层+高精度预探测与未来验证层”的梯度式实验框架,明确非冷原子实验当前可开展筛查标定、冷原子实验依托现有技术启动预探测、未来10-20年技术突破后实现精准验证的研究路径。 本文全程无强本体论预设,核心突破传统“理论先行”研究范式,提出候选锚点法这一原创方法论,厘清候选锚点的设定逻辑与合理性,回应数值选择随意性质疑,明确标注适配的冷原子、非冷原子实验体系,阐释分层实验框架的科学哲学内涵与实操逻辑。研究既贴合当前量子精密测量技术现实,又为低能时空耦合效应这一全新研究领域搭建了底层逻辑框架,明确标注全部适配实验名称,填补了该领域方法论与研究体系的空白,实现科学哲学与前沿物理研究的深度交叉,为未知前沿领域探索提供完整、可落地的思路。 关键词:低能时空耦合效应,候选锚点法,科学哲学,量子精密测量,光晶格超冷原子干涉实验,高精度光晶格原子钟实验,玻色-爱因斯坦凝聚态量子测量实验,热原子束干涉实验,商用铷原子钟实验,常规原子干涉仪实验 ABSTRACT The cross-integration of spacetime physics and quantum precision measurement has promoted human cognition of spacetime from theoretical speculation to experimental verification. However, the research on spacetime coupling effects in the low-energy region and laboratory scale has long been a cutting-edge blank field. Guided by the methodology of scientific philosophy, this paper proposes α=6.2×10⁻¹⁶ as a candidate detection anchor at a purely methodological level for this research gap. Focusing on the 10⁻¹⁶ order of magnitude blank precision interval, three cold atom experiments: optical lattice ultracold atom interference experiment, high-precision optical lattice atomic clock experiment, Bose-Einstein condensate (BEC) quantum measurement experiment, and three non-cold atom experiments: thermal atomic beam interference experiment, commercial rubidium atomic clock experiment, conventional atom interferometer experiment are clearly defined. A gradient experimental framework of "current signal screening and magnitude calibration layer + high-precision pre-detection and future verification layer" is constructed. It clarifies the research path that non-cold atom experiments can carry out screening and calibration at present, cold atom experiments start pre-detection based on existing technologies, and accurate verification can be realized after technological breakthroughs in the next 10-20 years. There is no strong ontological presupposition in this paper. It breaks through the traditional "theory-first" research paradigm, puts forward the original methodology of candidate anchor method, clarifies the setting logic and rationality of candidate anchors, responds to the query of random numerical selection, clearly marks the adapted cold atom and non-cold atom experiment systems, and explains the scientific philosophical connotation and practical logic of the hierarchical experimental framework. The research not only fits the current technological reality of quantum precision measurement, but also builds an original underlying logical framework for this brand-new research field of low-energy spacetime coupling effect, clearly marks all applicable experimental names, fills the gaps in methodology and research system in this field, realizes the deep cross between scientific philosophy and cutting-edge physics research, and provides a complete, implementable and original idea for the exploration of unknown cutting-edge fields. Key words: Low-energy spacetime coupling effect,Candidate anchor method, Scientific philosophy,Quantum precision measurement,Optical lattice ultracold atom interference experiment,High-precision optical lattice atomic clock experiment, Bose-Einstein condensate quantum measurement experiment, Thermal atomic beam interference experiment,Commercial rubidium atomic clock experiment,Conventional atom interferometer experiment
We derive the optimal N-photon two-mode input state for obtaining an estimate straight phi of the phase difference between two arms of an interferometer. For an optimal measurement [B. C. Sanders and G. J. Milburn, Phys. Rev. Lett. 75, 2944 (1995)], it yields a variance (Deltastraight phi)(2) approximately pi(2)/N2, compared to O(N-1) or O(N-1/2) for states considered by previous authors. Such a measurement cannot be realized by counting photons in the interferometer outputs. However, we introduce an adaptive measurement scheme that can be thus realized, and show that it yields a variance in straight phi very close to that from an optimal measurement.