According to this post:
In discrete-time systems, causality is a requirement only when processing (filtering) signals in real time; i.e. when the index nn corresponds to a physical time n×Tsn×Ts. In this case, a non-causal system is impossible to implement since calculating the current output would require inputs from a future time.
In practice, however, many systems are not real time.
Image processing, for example, has indexes for horizontal and vertical coordinates. So it's OK to apply a non causal filter to an image (usual examples being 0-centered FIR filters for blurring or sharpening, or IIR filters applied in both directions to obtain 0 phase distorsion).
In time sequences, many times the signal is stored and then processed in non real time, so you may apply non-causal filters there also.
I like to know is there any new scientific theory which could yield to making none causal FIR Filters in the real world. Like quantum theory in physics or other scientific fields?
Thanks for your attention.