论文标题
修改后的熵作为广义不确定性原理的起源
Modified entropies as the origin of generalized uncertainty principles
论文作者
论文摘要
众所周知，海森堡的不确定性原理与熵不确定性原理有关。使用高斯概率分布来获得与香农熵相关的波函数获得的对应关系。独立地，由于量子重力效应，海森堡的不确定性原理已扩展到普遍的不确定性原理（GUP）。在这项工作中，我们表明GUP是由考虑我们一个人提出的非扩展熵而得出的。我们发现，与$ s _ {+} $和$ s _- $熵相关的变形参数分别为负和积极。这使我们能够在寻找物理含义时探索各种可能性。我们得出的结论是，非扩展统计构成了量子重力的特征。
The Heisenberg uncertainty principle is known to be connected to the entropic uncertainty principle. This correspondence is obtained employing a Gaussian probability distribution for wave functions associated to the Shannon entropy. Independently, due to quantum gravity effects the Heisenberg uncertainty principle has been extended to a Generalized Uncertainty Principle (GUP). In this work, we show that GUP has been derived from considering non-extensive entropies, proposed by one of us. We found that the deformation parameters associated with $S_{+}$ and $S_-$ entropies are negative and positive respectively. This allows us to explore various possibilities in the search of physical implications. We conclude that non-extensive statistics constitutes a signature of quantum gravity.
