论文标题
海森堡不确定性原理和弯曲背景的提案：对白矮人的应用，中子星和黑洞
A proposal for Heisenberg uncertainty principle and STUR for curved backgrounds: an application to white dwarf, neutron stars and black holes
论文作者
论文摘要
在对适用于紧凑物体的广义不确定性原理（GUP）的批判性概述之后，我们提出了弯曲的空间（CHUP）中海森堡不确定性原理的质地。 CHUP允许在非交换时空的通用背景下写下有力动机的stur（时空不确定性关系）。为了研究紧凑型天体物理物体（如白矮人，中子星和黑洞）的可能量子效应，概述了量子波动的表达。结果，与基于GUP的主张相反，我们没有发现有关白矮星和中子星的量子效应和临界质量$ M_C $的量子效应的证据。相反，我们对CHUP的表达证实，一般的相对论效应强烈降低了Oppenheimer-Volkoff Newtonian对非常紧凑的天体物体作为中子星的极限。特别是，我们发现，对于退化的相对论费米气体，以buchdahl极限以最小临界质量$ m_c \ simeq 0.59 m _ {\ odot} $，最大质量减小了恒星的紧凑性。最后，我们研究了黑洞事件范围附近可能的非交换效应。
After a critical overview of the Generalized Uncertainty Principle (GUP) applied to compact objects, we propose a texture of Heisenberg uncertainty principle in curved spacetimes (CHUP). CHUP allows to write down physically motivated STUR (spacetime uncertainty relations) in a generic background for a non commutative spacetime in terms of tetrad variables. In order to study possible quantum effects for compact astrophysical objects as white dwarf, neutron stars and black holes, an expression for quantum fluctuations is outlined. As a result, contrary to GUP-based claims, we found no evidence for quantum effects concerning equilibrium equation and critical mass $M_c$ for white dwarf and neutron stars. Conversely, our expression for CHUP confirms that general relativistic effects strongly reduce the Oppenheimer-Volkoff Newtonian limit for very compact astrophysical objects as neutron stars. In particular, we found that for a degenerate relativistic Fermi gas, the maximum mass decreases for increasing compactness of the star with a minimum critical mass $M_c\simeq 0.59 M_{\odot}$ at the Buchdahl limit. Finally, we study possible non commutative effects near the event horizon of a black hole.
