Self-Simulation
From CTMU Wiki
The following is an excerpt from page 7 of "Reality Self-Simulation Principle; Reality is a Self-Simulation".
M = Model
P = Processor
D = Display
In a self-simulation, the model is a description of the processor and display themselves.
P[M(P,D), (P, D)T’] : D(P, D)T=n’ → D(P, D)T=n+1’
Here, “self-simulation” is interpreted in such a way that there is a real display with a simulated processor and simulated display as its content. But alternatively, because the processor contains a model of both itself and the display, and could simply be internally updating its internal model, everything could be inside the processor. When the simulation is confined to P, we have:
P[M(P,D), (P, D)T’] : (P, D)T=n’ → (P, D)T=n+1’
or simply
P[M(P,D), M(P,D)T’] : M(P,D)T=n’ → M(P,D)T=n+1
with the processor internally running its “self-modeling program”.