What question did this study set out to answer?

The goal is to propose a definition of information as order derived from prime number structures in the Riemann zeta function.

February 28, 2026Open Access

Defining Information: Order from the Prime Number Structure of the Riemann Zeta Function

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Defines information as order from prime numbers, suggesting implications for quantum systems.

The goal is to propose a definition of information as order derived from prime number structures in the Riemann zeta function.
Utilized Shannon and von Neumann entropy frameworks to explore information metrics.
Applied Benford's Law to measure physical systems' leading-digit distributions.
Examined connections between the Riemann zeta function and various physical theories.
Conducted simulations on Bose–Einstein condensates and analyzed black hole properties.
Demonstrated that the Benford deviation δB correlates with quantum-to-classical transitions.
Showed that Benford's Law represents a least-action distribution consistent with thermodynamic principles.
Derived outcomes such as Shannon entropy and other principles from the proposed definition of information.

Christopher Jack Wayne Riner (2026) studied this question.

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