Does the universe roll dice, or does it count?

What began as a five-line Python script to flip a coin 100 times turns into an exploration of what randomness actually is. Starting from the law of large numbers and the design of pseudo-random generators (the Mersenne Twister, rejection sampling), the essay asks whether quantum randomness could instead be a deterministic pattern sampled at coarse time intervals — an "odometer universe" that counts rather than rolls. It shows why a purely periodic or low-discrepancy source would leave a measurable statistical fingerprint (a bounded deviation instead of the √n growth that real quantum random number generators exhibit), and connects the idea to Boltzmann's ergodic hypothesis, Gerard 't Hooft's cellular-automaton interpretation of quantum mechanics, and the Hossenfelder–Palmer superdeterminism proposal. It closes on the block universe and Wolfram's computational irreducibility. All code and tables in the piece are real output. Originally published at recepcinet.com.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22735340
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Does the universe roll dice, or does it count?

Recep Cinet
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Does the universe roll dice, or does it count?

Recep Cinet
preprint en

Abstract

What began as a five-line Python script to flip a coin 100 times turns into an exploration of what randomness actually is. Starting from the law of large numbers and the design of pseudo-random generators (the Mersenne Twister, rejection sampling), the essay asks whether quantum randomness could instead be a deterministic pattern sampled at coarse time intervals — an "odometer universe" that counts rather than rolls. It shows why a purely periodic or low-discrepancy source would leave a measurable statistical fingerprint (a bounded deviation instead of the √n growth that real quantum random number generators exhibit), and connects the idea to Boltzmann's ergodic hypothesis, Gerard 't Hooft's cellular-automaton interpretation of quantum mechanics, and the Hossenfelder–Palmer superdeterminism proposal. It closes on the block universe and Wolfram's computational irreducibility. All code and tables in the piece are real output. Originally published at recepcinet.com.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Advanced Mathematical Theories and Applications
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