Optimizing entropy bounds for macroscopic systems.
Bekenstein. Jacob D JD
Key Findings
- Entropy‑to‑energy ratio (S/E) has a unique maximum for a system at fixed volume or pressure.
- A quantum‑dynamics argument provides a model‑independent upper bound on this maximum that is usually tighter than the universal bound from black‑hole thermodynamics.
- Two example systems are used to illustrate the tighter bound.
Practical Outcomes
- For biohackers and health‑optimizers, this study offers no actionable information about semax, dosing, or any physiological effect. It remains a theoretical physics result without relevance to longevity, metabolic health, or performance protocols.
Summary
The paper talks about a physics concept: the maximum possible ratio of entropy to energy in a system, showing that classical thermodynamics can set tighter limits than those derived from black‑hole ideas. It does not discuss semax or any health‑related effects.
Abstract
The universal bound on specific entropy (entropy-to-energy ratio) was originally inferred from black hole thermodynamics. Here we show from classical thermodynamics alone that for a system at fixed volume or fixed pressure, the entropy-to-energy ratio S/E has a unique maximum, (S/E)(max). A simple argument from quantum dynamics allows one to set a model-independent upper bound on (S/E)(max) which is usually much tighter than the universal bound. We illustrate with two examples.
Study Information
pubmed
2014
2014-05-27T00:00:00.000Z
10.1103/physreve.89.052137