RelativeIntegerDifferenceCalculus
An ideal mathematics for the information universe may be a Relative Integer Difference Calculus.
This may exist in some ways, see: SurrealNumbers
By the hidden variable theorems of Turing and others, quantum mechanical descriptions of systems must be complete. But quantum theory forces the consideration of the entire quantum system to get answers. This makes getting answers for large scale problems impractical. It also stymies attempts to unify the quantum and relativity in an emergent fashion.
RelativeStateSpace has an origin and degree of freedom (time) for each participant modeling the relative nature of timespace. This allows constructing a quantum system which includes any participants of interest while modeling discrete relativistic effects.
State spaces are synchronized by events between each other, establishing distance and relative motion allowing the union of the spaces from either coordinate frame into the other to determine local effects. This completes quantum theory by defining a specific direction of time for all participants and the relative clocking by the relative frequencies of their interactions.
Positions are occupied by discrete momentums with binary orientation propagating at light speed (locally) at a frequency determined by the integer number of Plank action equivalents of their momentum.
Equal relative momentums are excluded by the introduction of relative motion or equivalently time independence. See IntegerEnergy.
While an information systems model can simulate this process, a Relative Integer Difference Calculus would be most useful for mapping the model to general relativity and discovering the nature of its anomalies.