Abstract

A static, finite informational universe is defined by bits. The arrangements of those bits constitute the entire configuration space. Time is not fundamental; it emerges as the ordinal index of a random walk through the most compressible configurations. Because the total information is finite, both spatial and temporal resolution of any emergent spacetime must likewise be finite.

There is no external metaphysics and no predefined rule that selects one resolution convention over another. The only selection principle available is typicality: the measure-dominated, most probable outcome under the natural dynamics on the configuration space. Spectral complexity—the informational cost of encoding the modes of a wavefunction—supplies the compressibility measure that identifies the typical path.

Under that path the elementary bits behave as structureless spacetime fabric. Emergent microstructures appear with a characteristic hump-shaped probability, consume part of the finite bit budget, and thereby reduce the observable resolution. The resulting geometry is a chain whose links are bits and whose knots are the microstructures; each knot shortens the chain. The same finite-budget logic applied to clocks yields differential aging. The typical evolution of such a chain produces a three-stage expansion profile without fine-tuning.