Discrete Spacetime Rendering as a Framework for Wave Function Collapse and Quantum Entanglement

We propose a framework in which the quantum measurement problem dissolves when spacetime is treated as a discrete network of Planck-volume cells. The wave function represents genuinely uncommitted cell states; wave function collapse is the physical commitment of those cells by the causal propagation process; and quantum entanglement arises because correlated cells constitute a single unresolved rendering task with multiple spatial addresses. These three primary results follow logically from the framework's ontology and are clearly distinguished from more speculative directions throughout.

We additionally derive that entropy is related to the Planck length via S_max proportional to c^3, predicting a maximum entropy turning point distinguishing this framework from standard cosmology's monotonically increasing entropy. Time travel is shown to be impossible by the same irreversibility mechanism, giving Hawking's chronology protection conjecture a physical derivation rather than remaining a conjecture.

A candidate Born rule mechanism is proposed — probability arising from path integrals through the causal cell network — but is clearly labelled as unproven. The framework connects to Wheeler's one-electron hypothesis, Penrose Objective Reduction, and the decoherence programme. The Born rule derivation is identified as the central open problem.

This is the second paper in a series on Pixel Theory. Companion Paper 1 (VSL cosmology) is published at https://doi.org/10.5281/zenodo.20491684