Derives Boltzmann-Gibbs income and employee wealth distributions plus Pareto owner wealth tail from Gibrat's law, maximum entropy, and firm-size scaling, reproducing empirical alpha_w ≈ 1.30 parameter-free and predicting Tw/Ty ≈ 1.7 years.
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Analytical expressions for electronic population, chemical potential, and maximum charge capacity in a molecular domain are derived using the Quantum Expectation Identity theorem applied to a three-state density matrix model.
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
Key equilibrium distributions and entropies of statistical mechanics emerge from quantum envariance and exchange symmetry in system-environment entangled states.
citing papers explorer
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Statistical Mechanics of Household Income and Wealth: Derivation from Firm Dynamics via Maximum Entropy and Mixture Aggregation
Derives Boltzmann-Gibbs income and employee wealth distributions plus Pareto owner wealth tail from Gibrat's law, maximum entropy, and firm-size scaling, reproducing empirical alpha_w ≈ 1.30 parameter-free and predicting Tw/Ty ≈ 1.7 years.
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Quantum Expectation Identities for the Three-State Model of a Molecular Domain
Analytical expressions for electronic population, chemical potential, and maximum charge capacity in a molecular domain are derived using the Quantum Expectation Identity theorem applied to a three-state density matrix model.
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Entropy and mean multiplicity from dipole models in the high energy limit
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
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Statistical mechanics from quantum envariance and exchange symmetry
Key equilibrium distributions and entropies of statistical mechanics emerge from quantum envariance and exchange symmetry in system-environment entangled states.
- A universal complementarity identity for polarized double-slit interferometry