Tetrahedraverse has not yet been firmly attched to Physics. However, there are so many close correspondences that it is impossible for me to believe that it cannot be so connected. For example:
Tetrahedraverse spatially quantizes time, and temporally quantizes space. That is to say:
1) Tetrahedraverse's "minimum distance" is defined as "that distance, closer than which, two points would become one point." This recombination of two into one is forbidden in T-verse. The very meaning of this situation is expressed by the word "noncoalesceable": two points may not "coalesce" (in other words, they may not become just one point). This means that while the two points in question here are dimensionless (they have zero dimension each), the result of trying to squeeze them together is the existence of dimension; while there is no "size" to either point, there is size to the set of two points. Since Tetrahedraverse is a spherically compressed set of points, this means there is dimension in the set, and to the whole set; a "metric space" is created. (While the metric is not measurable (does not have a quantifiable "size" to its increments of dimension), it is obvious that the Network of Vertex Order Twelve is a metric space which is quantized: each two neighbor points constitute one "quantum of dimension" --in other words, a quantum of Space.
2) Tetrahedraverse places motion prior to time. That is, motion creates time. Where there is no motion, there is no time. Since in any small region of this space, points may move very slightly with respect to each other (see The Network of Vertex Order Twelve and Kepler's "Problem of the Thirteen Spheres"), time may appear and between each two points undergoing this slight movement. Thus, time is spatially quantized. For us, up here at our vastly larger size, to measure a time across a distance, all of the individual quanta of time between one place and another are added up. Time, then, is no more a "continuous" phenomenon than is space; both are quantized by Tetrahedraverse, thus allowing the potential for, at last, a unification between Quantum Mechanics and Relativity.