路径积分的奇异避免

IF 6.4 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Journal of Cosmology and Astroparticle Physics Pub Date : 2025-03-19 DOI:10.1088/1475-7516/2025/03/032
Ribhu Paul and Sumanta Chakraborty
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引用次数: 0

摘要

我们已经证明了描述黑洞视界内时空的量子性质的波函数在奇点附近消失,使用路径积分形式。这类似于应用于史瓦西黑洞内部的德威特准则。为了达到同样的目的,我们将史瓦西黑洞的内部表示为Kantowski-Sachs时空,并应用极小超空间形式确定传播子的精确形式,从而确定奇点附近的波函数,使用路径积分在简化的相空间上。需要强调的是,我们的结果是精确的,而不是路径积分的鞍点近似。
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Singularity avoidance from path integral
We have demonstrated that the wavefunction describing the quantum nature of the spacetime inside the black hole horizon, vanishes near the singularity, using the path integral formalism. This is akin to the DeWitt criterion, applied to the interior of a Schwarzschild black hole. To achieve the same we have expressed the interior of a Schwarzschild black hole as a Kantowski-Sachs spacetime and have applied the minisuperspace formalism to determine an exact form of the propagator, and hence the wavefunction near the singularity, using path integral over the reduced phase space. It is to be emphasized that our result is exact and not a saddle point approximation to the path integral.
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来源期刊
Journal of Cosmology and Astroparticle Physics
Journal of Cosmology and Astroparticle Physics 地学天文-天文与天体物理
CiteScore
10.20
自引率
23.40%
发文量
632
审稿时长
1 months
期刊介绍: Journal of Cosmology and Astroparticle Physics (JCAP) encompasses theoretical, observational and experimental areas as well as computation and simulation. The journal covers the latest developments in the theory of all fundamental interactions and their cosmological implications (e.g. M-theory and cosmology, brane cosmology). JCAP''s coverage also includes topics such as formation, dynamics and clustering of galaxies, pre-galactic star formation, x-ray astronomy, radio astronomy, gravitational lensing, active galactic nuclei, intergalactic and interstellar matter.
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