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如果非局域性是基本的,那么量子引力

Quantum Gravity If Non-Locality Is Fundamental.

作者信息

Kauffman Stuart A

机构信息

Institute for Systems Biology, University of Pennsylvania, Seattle, WA 98101, USA.

出版信息

Entropy (Basel). 2022 Apr 15;24(4):554. doi: 10.3390/e24040554.

Abstract

I take non-locality to be the Michelson-Morley experiment of the early 21st century, assume its universal validity, and try to derive its consequences. Spacetime, with its locality, cannot be fundamental, but must somehow be emergent from entangled coherent quantum variables and their behaviors. There are, then, two immediate consequences: (i). if we start with non-locality, we need not explain non-locality. We must instead explain an emergence of locality and spacetime. (ii). There can be no emergence of spacetime without matter. These propositions flatly contradict General Relativity, which is foundationally local, can be formulated without matter, and in which there is no "emergence" of spacetime. If these be true, then quantum gravity cannot be a minor alteration of General Relativity but must demand its deep reformulation. This will almost inevitably lead to: matter not only curves spacetime, but "creates" spacetime. We will see independent grounds for the assertion that matter both curves and creates spacetime that may invite a new union of quantum gravity and General Relativity. This quantum creation of spacetime consists of: (i) fully non-local entangled coherent quantum variables. (ii) The onset of locality via decoherence. (iii) A metric in Hilbert space among entangled quantum variables by the sub-additive von Neumann entropy between pairs of variables. (iv) Mapping from metric distances in Hilbert space to metric distances in classical spacetime by episodic actualization events. (v) Discrete spacetime is the relations among these discrete actualization events. (vi) "Now" is the shared moment of actualization of one among the entangled variables when the amplitudes of the remaining entangled variables change instantaneously. (vii) The discrete, successive, episodic, irreversible actualization events constitute a quantum arrow of time. (viii) The arrow of time history of these events is recorded in the very structure of the spacetime constructed. (ix) Actual Time is a succession of two or more actual events. The theory inevitably yields a UV cutoff of a new type. The cutoff is a phase transition between continuous spacetime before the transition and discontinuous spacetime beyond the phase transition. This quantum creation of spacetime modifies General Relativity and may account for Dark Energy, Dark Matter, and the possible elimination of the singularities of General Relativity. Relations to Causal Set Theory, faithful Lorentzian manifolds, and past and future light cones joined at "Actual Now" are discussed. Possible observational and experimental tests based on: (i). the existence of Sub- Planckian photons, (ii). and discontinuities in the high-energy gamma ray spectrum, and (iii). possible experiments to detect a creation of spacetime in the Casimir system are discussed. A quantum actualization enhancement of repulsive Casimir effect would be anti-gravitational and of possible practical use. The ideas and concepts discussed here are not yet a theory, but at most the start of a framework that may be useful.

摘要

我将非定域性视为21世纪早期的迈克尔逊-莫雷实验,假定其具有普遍有效性,并试图推导其结果。具有定域性的时空不可能是基本的,而必定以某种方式从纠缠的相干量子变量及其行为中涌现出来。那么,就有两个直接的结果:(i). 如果我们从非定域性出发,就无需解释非定域性。相反,我们必须解释定域性和时空的涌现。(ii). 没有物质就不可能有时空的涌现。这些命题与广义相对论完全矛盾,广义相对论在基础上是定域的,可以在没有物质的情况下表述,并且其中不存在时空的“涌现”。如果这些是真的,那么量子引力就不可能是对广义相对论的微小修改,而必须要求对其进行深刻的重新表述。这几乎不可避免地会导致:物质不仅使时空弯曲,而且“创造”时空。我们将看到有独立的理由断言物质既使时空弯曲又创造时空,这可能会促成量子引力与广义相对论的新结合。这种时空的量子创造包括:(i)完全非定域的纠缠相干量子变量。(ii)通过退相干产生定域性。(iii)通过变量对之间的次可加冯·诺依曼熵在纠缠量子变量之间的希尔伯特空间中形成度规。(iv)通过偶发的实现事件从希尔伯特空间中的度规距离映射到经典时空中的度规距离。(v)离散时空是这些离散实现事件之间的关系。(vi)“现在 ”是当其余纠缠变量的振幅瞬间变化时,其中一个纠缠变量的共享实现时刻。(vii)离散的、相继的、偶发的、不可逆的实现事件构成时间的量子箭头。(viii)这些事件的时间历史箭头记录在所构建的时空的结构中。(ix)实际时间是两个或更多实际事件的相继。该理论不可避免地会产生一种新型的紫外截断。截断是转变前连续时空与相变后不连续时空之间的相变。这种时空的量子创造修改了广义相对论,并可能解释暗能量、暗物质以及广义相对论奇点的可能消除。讨论了与因果集理论、忠实的洛伦兹流形以及在“实际现在”处连接的过去和未来光锥的关系。基于以下方面讨论了可能的观测和实验测试:(i). 亚普朗克光子的存在,(ii). 高能伽马射线谱中的不连续性,以及(iii). 在卡西米尔系统中检测时空创造的可能实验。排斥性卡西米尔效应的量子实现增强将是反引力的,并且可能具有实际用途。这里讨论的想法和概念还不是一个理论,至多只是一个可能有用的框架的开端。

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