Main Question or Discussion Point
As seen in the video above, ten years ago Stephen Wolfram teased a computational physics program which he simply called 'Physics'; some of this work was outlined in his magnum opus "A New Kind of Science". A few days ago he has finally given a huge update of this in his blog: https://writings.stephenwolfram.com...damental-theory-of-physics-and-its-beautiful/
This is a project of at least 50 years in the making, starting from about the time that Wolfram left theoretical physics to work on what would become Mathematica and his other well-known products. The Wolfram Physics Project is essentially the result of a brute force search for a mathematical framework underlying physical theory; it is characterized by Feynman's guiding principle for theory construction, namely to recognize when 'more seems to come out than was put in'.
A brief summary of the methodology seems to be that he is modelling discrete mathematical structures - namely directed hypergraphs - and then evolving these structures using simple evolution rules; all of this is done purely computationally. In this evolutionary process, higher dimensional network or simplicial complex-like structures arise automatically; he then compares these arisen graph theoretic structures with the graph theoretic structure underlying known physical theory in order to 'find our own world'.
Wolfram has 3 technical papers with two physics students:
A Class of Models with the Potential to Represent Fundamental Physics
Some Relativistic and Gravitational Properties of the Wolfram Model
Some Quantum Mechanical Properties of the Wolfram Model
Moreover, Wolfram has also opened the Wolfram Physics Project up as a community based project (with universities being able to opt in) for the entire world to join him in trying to find the correct model that describes our world: https://www.wolframphysics.org/