论文标题

具有最大可观察动量的普遍不确定性原理,没有最小的不确定性

Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy

论文作者

Petruzziello, Luciano

论文摘要

我们提出了海森堡不确定性原理的新概括,该原则引入了最大可观察的动量的存在,与此同时,并不需要最少的不确定性。以上结果是确切的普遍不确定性原理(GUP),在所有能量尺度上有效。对于变形参数$β$的少量值,我们的ANSATZ与从字符串理论中借来的GUP的通常表达相一致,双重特殊相对论和其他提供$β$的量子重力候选者。作为初步分析,我们研究了该新模型对某些量子机械应用和黑洞热力学的影响。

We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact generalized uncertainty principle (GUP), valid at all energy scales. For small values of the deformation parameter $β$, our ansatz is consistent with the usual expression for GUP borrowed from string theory, doubly special relativity and other quantum gravity candidates that provide $β$ with a negative sign. As a preliminary analysis, we study the implications of this new model on some quantum mechanical applications and on the black hole thermodynamics.

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