Quantum Fluctuation of Time and Uncertainty

Zachary Jacobson

Ryusho Nemoto

This preprint redefines the nature of time in quantum theory by introducing "tension"—a probabilistically generated particle representing the minimal unit of time. It proposes that time is not continuous but composed of discrete quantum events, each fluctuating probabilistically. This leads to a new interpretation of quantum uncertainty, where time itself exhibits quantum fluctuation. The approach challenges traditional views of time and offers a new foundation for integrating time into quantum gravity frameworks.

Zhiming Huang, Xiaobin Wang, Yiyong Ye +3 more

In this work, we investigate the dynamics of quantum-memory-assisted entropic uncertainty relation for a two-level atom coupled with fluctuating electromagnetic field in the presence of a perfectly reflecting plane boundary. The solution of the master equation that governs the system evolution is derived. We find that entropic uncertainty and mixedness increase to a stable value with evolution time, but quantum correlation reduces to zero with evolution time. That is, the mixedness is positively associated with entropic uncertainty, however, increasing quantum correlation can cause the decrease of the uncertainty. The tightness of entropic uncertainty grows at first and then declines to zero with evolution time. In addition, entropic uncertainty fluctuates to relatively stable values with increasing the atom’s distance from the boundary, especially for short evolution time, which suggests a possible way of testing the vacuum fluctuating and boundary effect. Finally, we propose an effective method to control the uncertainty via quantum weak measurement reversal.

Pieter Kok

Yinghua Ji, Luo Hai-Mei, Lei Min-Sheng

Using the path integral method we derive quantum wave function and quantum fluctuations of charge and current in the mesoscopic RLC circuit. We find that the quantum fluctuation of charge decreases with time, oppositely, the quantum fluctuation of current increases with time monotonously. Therefore there is a squeezing effect in the circuit. If some more charge devices are used in the mesoscopic-damped circuit, the quantum noise can be reduced. We also find that uncertainty relation of charge and current periodically varies with the period π/2 in the under-damped case.