Time is not typically regarded as a wave of causality. In physics, time is generally considered to be a dimension along which events occur and change unfolds. It is often treated as a fundamental aspect of our reality, rather than an emergent property or a wave-like phenomenon.
When a particle is in a state of superposition or experiencing interference, it refers to the behavior of the particle's wave function. In quantum mechanics, particles can exist in multiple states simultaneously, described by a wave function that evolves over time according to Schrödinger's equation. The wave function represents the probabilities of finding the particle in different states when measured.
The concept of time and causality remains intact in quantum mechanics. The evolution of the wave function is governed by the laws of quantum mechanics, which include the notion of causality. However, it's important to note that quantum mechanics introduces probabilistic behavior at the microscopic level, making it inherently different from classical mechanics, where determinism and strict causality are the norm.
In summary, while the behavior of particles in superposition and interference involves the particle's wave function evolving over time, it is not the particle's time or causality itself that is spread across all possible paths. Rather, it is the probabilities associated with the particle's states that become entangled and exhibit wave-like characteristics.