Horizons and non-local time evolution of quantum mechanical systems

The European Physical Journal C

Roberto Casadio¹ 

[1] Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy;Sezione di Bologna, I.N.F.N., via B. Pichat 6/2, 40127, Bologna, Italy;

关键词: Black Hole;    Planck Scale;    Matter Source;    Generalise Uncertainty Principle;    Small Black Hole;   

DOI  :  10.1140/epjc/s10052-015-3404-y

来源: Springer

【 摘 要 】

According to general relativity, trapping surfaces and horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius. The latter concept can be extended to a quantum mechanical matter state simply by means of the spectral decomposition, which allows one to define an associated “horizon wave-function”. Since this auxiliary wave-function contains crucial information about the causal structure of space-time, a new proposal is formulated for the time evolution of quantum systems in order to account for the fundamental classical property that outer observers cannot receive signals from inside a horizon. The simple case of a massive free particle at rest is used throughout the paper as a toy model to illustrate the main ideas.

【 授权许可】

CC BY