The Living Force
There’s a natural way to go from a string of n 0s and 1s to a point on an n-dimensional cube: Simply use the n bits as the coordinates of the point...
Then in 2018, it occurred to Huang to use a 200-year-old piece of mathematics called the Cauchy interlace theorem, which relates a matrix’s eigenvalues to those of a submatrix, making it potentially the perfect tool to study the relationship between a cube and a subset of its corners. Huang decided to request a grant from the National Science Foundation to explore this idea further.
Then last month, as he sat in a Madrid hotel writing his grant proposal, he suddenly realized that he could push this approach all the way to fruition simply by switching the signs of some of the numbers in his matrix.
The quantum graphity idea is nice in that it has the idea of going from high to low energy as being a reduction in vertex connections. It's going from simplex physics to lattice spacetime physics. It's also nice for fitting with geometric algebra and looking at the individual bits. Ark uses Cauchy stress tensors on the cube for a bimetric gravity idea related to a 12x12x12 hint from the sessions.I think it is possible to use the solution of conjecture for both geometric algebra and quantum graphity:
A model of spacetime where points are represented by nodes on a graph, connected by links that can be on or off*, indicating whether the two points are directly connected as if next to each other in spacetime**.
*(bits. 0 or 1)
**(a network with a matrix that tracks which points are connected and then examining a set of numbers called the matrix’s eigenvalues)