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Published January 14, 2026 | Version v1.0 – Preprint

Entropy-Action Equivalence: Ten Independent Derivations & Six Falsifiable Predictions

Description

We report that ten independent theoretical frameworks converge on a single mathematical identity: S = jZ, identifying entropy (S) and action (Z) as dual projections of one irreversible counting process, linked by the constant

j ≡ (kB ln 2) / ℏ ≈ 9.1 × 1010 bits/(J·s). 

We present six falsifiable predictions, most notably a precise thermal–gravitational equivalence (ΔT / T = Δτ / τ) testable with current microkelvin thermometry, offering an immediate path to validation or refutation.

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Dates

Created
2026-01-14