probability-amplitudes

Fundamental components of quantum mechanics that describe the likelihood of different outcomes, serving as a bridge between physical phenomena and mathematical structures.

1 chapter across 1 book

The Emperor's New Mind (1989)Roger Penrose

Chapter 3) would be a case in point, these being the fundamental ingredients of quantum mechanics, the probability amplitudes. ) With such an identification, it might be more comprehensible how 'minds' could seem to manifest some mysterious connection between the physical world and Plato's world of mathematics. Recall also that, as described in Chapter 4, there are many parts of the mathematical world- some of its deepest and most interesting parts, moreover -

This chapter explores the fundamental role of non-algorithmic processes in the physical world, particularly in relation to the concept of mind and consciousness. Penrose suggests that the mysterious connection between the physical world and the Platonic mathematical realm may be explained by these non-algorithmic elements, which challenge the deterministic framework of classical physics. The discussion also touches on the problem of free will within the context of determinism, highlighting the deterministic nature of quantum mechanics' unitary evolution but hinting at the significance of quantum jumps.