The Computation Resource Finiteness Hypothesis: A Computational Unification of Time, Gravity, and Quantum Phenomena Based on the Universal Substrate

This paper rejects the conventional assumption of spacetime as an infinitely divisible continuum and instead reformulates the universe as a synchronous discrete system driven by finite computational resources, termed the Universal Substrate (US). This framework is referred to as the \textit{Computational Resource Finiteness Hypothesis (CRFH)}. Within CRFH, the progression rate of proper time (update frequency) $\chi$ in the physical layer is determined by the supply limit $C \cdot A$, the local computational load $\Omega$, and the total number of nodes $N_V$ in a given region, yielding the fundamental equation:\[\chi = \frac{C \cdot A - \Omega}{N_V}.\] This equation demonstrates that the finiteness of computational resources provides a unified origin for major physical phenomena, including relativistic time dilation, gravitational behavior, quantum uncertainty, and the avoidance of singularities. Relativistic effects and gravity are reinterpreted as consequences of reduced update frequency in high-load regions and the resulting spatial non-uniformity of information propagation. The Planck constant emerges as the minimum action unit of the US, while uncertainty relations arise as sampling limits imposed by discrete update cycles. Furthermore, the existence of a minimal node unit $N_V=1$ and an absolute upper bound on supply $C \cdot A$ structurally eliminates divergences characteristic of continuum physics by enforcing logical saturation. Physical singularities are thereby redefined as computational freeze boundaries rather than infinite-density states. This work reframes physical laws not as geometric axioms but as runtime constraints arising from finite computational resource allocation, providing a foundation for reducing the continuum assumption of spacetime to an experimentally testable hypothesis. Keywords:Computational physics,Quantum foundations,General relativity,Discrete spacetime,Computational Resource Finiteness Hypothesis (CRFH),Universal Substrate,Time dilation as computational load