Quantum Statistics from Oscillatory Sampling
A Detection-Theoretic Derivation of the Born Rule
Abstract
This paper proposes the Temporal Bitmap Interpretation (TBI) of quantum mechanics, which reframes apparent wave function dynamics as static structure traversal through a four-dimensional block universe. On this view, what we perceive as quantum indeterminacy, wave function collapse, and entanglement correlations are artifacts of our epistemic position as observers traversing a determinate 4D structure. The interpretation treats wave functions not as evolving probability amplitudes but as aliased readings of a two-valued phase field—a minimal degree of freedom sampled at insufficient temporal resolution.
Suggested citation
Murad Farzulla (2025). Quantum Statistics from Oscillatory Sampling. Dissensus Working Paper DAI-2517. DOI: 10.5281/zenodo.18091062
Methodology
Block universe eternalism
Digital physics
Undersampling theory
Retrocausality
Topics
Philosophy
Quantum Mechanics