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arXiv 2602.16219gr-qc
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量子引力是否可能从几何中涌现

On the Possibility of Quantum Gravity Emerging from Geometry

Universitat de Lleida(莱里达大学)

Jaume Gine

AI总结:

本文探讨了量子引力是否可能从几何中涌现,并通过微观视界几何解释引力GUP作为有效不确定性关系。

摘要:

是否有可能通过几何诱导出一种广义不确定性原理(GUP)并重新解释引力GUP作为由微观视界几何诱导的有效不确定性关系?更广泛地说,是否可能发展出一种从几何中涌现的量子引力观念?我们将给出肯定答案,但伴有重要的保留意见。

英文摘要:

Can the generalized uncertainty principle (GUP) arise as an effective manifestation of spacetime geometry rather than as a fundamental postulate? More specifically, can the gravitational GUP be interpreted as an emergent uncertainty relation generated by the statistical microstructure of local horizons? Motivated by these questions, this work explores the broader possibility that selected features of quantum-gravitational behavior may originate from the geometric and thermodynamic properties of spacetime itself. We argue that, under suitable assumptions regarding the multifractal structure of microscopic horizons, an effective GUP can indeed be induced by geometry. This perspective suggests that quantum uncertainty may be viewed not as a fundamental ingredient of nature, but as an emergent consequence of the statistical organization of spacetime at the Planck scale. While the present framework does not constitute a complete theory of quantum gravity, nor does it derive the full formalism of quantum mechanics, it provides a proof of concept for a geometric origin of generalized uncertainty relations and establishes a thermodynamic route connecting horizon microstructure, entropy corrections, and effective quantum behavior. The resulting framework is compatible with several modern approaches to quantum gravity through the common notion of scale-dependent geometry, while yielding a unified geometric interpretation of generalized uncertainty relations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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