Defining Information: Order from the Prime Number Structure of the Riemann Zeta Function
Information is order — the integer structure generated by the prime numbers through multiplication, measured by the Benford deviation δB.
∏p (1 − p−s)−1 = ∑n n−s → foundation → information
- Benford's Law derived from scale invariance + maximum entropy (least action)
- δB tracks quantum-to-classical transitions continuously
- Shannon, Landauer, Englert, Wheeler all emerge as consequences
- Falsifiable: δB must correlate with quantum character in new experiments
DOI: 10.5281/zenodo.18782869