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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.

[[InformationPhysics]]

RelativeIntegerDifferenceCalculus - Revision history

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