Chapter
The Principle of Computational Equivalence
36:23 - 45:18 (08:55)
The principle of computational equivalence states that whenever a system follows rules, the computation that the behavior of the system corresponds to is of equivalent sophistication. It is considered the heart of computation's definition and applies across all systems, regardless of individual details.
Clips
The principle of computational equivalence states that whenever a system follows rules, if it’s not doing something that is obviously simple, then the computation that the behavior of the system corresponds to is of equivalent sophistication.
36:23 - 42:58 (06:34)
Summary
The principle of computational equivalence states that whenever a system follows rules, if it’s not doing something that is obviously simple, then the computation that the behavior of the system corresponds to is of equivalent sophistication. This principle is at the heart of the definition of computation.
ChapterThe Principle of Computational Equivalence
Episode#89 – Stephen Wolfram: Cellular Automata, Computation, and Physics
PodcastLex Fridman Podcast
The future of physics may involve reducing its theories to simple programs based on mathematics.
42:59 - 45:18 (02:19)
Summary
The future of physics may involve reducing its theories to simple programs based on mathematics. However, the fact that the rules may not apply in certain circumstances, like close to a black hole, leaves uncertainty in the field.