In quantum physics, the concept of time is treated differently compared to space. In the framework of standard quantum mechanics, time is considered an external parameter that evolves uniformly and independently. The position of a particle in time is not subject to the same statistical treatment as its position in space.
In quantum mechanics, the statistical behavior of particles is described by wave functions, which give the probability distribution for finding a particle at different positions in space. However, there is no analogous wave function for time.
As for the phenomenon known as "spooky action at a distance," it refers to the non-local correlations that can occur between entangled particles. When two particles are entangled, their properties become correlated in a way that measuring one particle can instantaneously affect the state of the other particle, regardless of the distance between them.
The concept of entanglement and its non-local nature is a fundamental feature of quantum mechanics. It is important to note that this non-local correlation does not allow for faster-than-light communication or violate causality in the macroscopic sense. The correlations observed in entanglement cannot be used to transmit information, as they are random and do not convey a meaningful signal.
The question of how to reconcile quantum mechanics, which allows for non-local correlations, with our macroscopic understanding of causality and locality is a topic of ongoing debate and research in the field of quantum foundations. Various interpretations and theories, such as hidden variables theories and pilot-wave theories, have been proposed to explain or reinterpret the nature of quantum mechanics and its implications for causality. However, these interpretations are still subject to experimental testing and further investigation.