Thermodynamics in AM Model

This work presents a comprehensive and fully unified theoretical framework for the Absolute Medium (AM) model, an elastic‑spacetime formulation in which gravitational, particle‑level, astrophysical, and cosmological phenomena arise as manifestations of a single underlying physical medium. The manuscript consolidates and significantly extends previous developments by deriving the complete AM energy structure, including displacement energy, vortex kinetic energy, and residual potential energy, and formulating a consistent thermodynamic and field‑theoretic description across all relevant physical scales. Several aspects of this submission may be of particular interest to the journal’s readership: First-principles derivation of particle rest masses.The manuscript shows that the proton rest mass—and, in general, the Standard Model particle mass spectrum—arises naturally from the AM deformation‑energy integral over nucleon‑scale displacement kernels. This yields the striking and non‑accidental equality implying that particle masses originate geometrically from the medium itself, rather than being introduced as external parameters. Derivation of a modified gravitational law from an AM Lagrangian.Starting from a nonlinear AM Lagrangian density, I derive the nonlinear Poisson equation containing the squared‑field correction term. This directly links microphysical elasticity (via the Non‑Linear Elasticity Principle) to macroscopic gravitational dynamics, providing a rigorous alternative to empirical halo models and MOND‑type phenomenology. Unified thermodynamic framework for gravity and spacetime.The manuscript establishes AM temperature, entropy, heat capacity, and black‑hole thermodynamics, showing how classical gravitational energy, black‑hole temperature, and entropy emerge from the elastic medium’s deformation properties. AM introduces a small but conceptually important correction to the Smarr relation. Predictive astrophysical and cosmological consequences.The framework provides testable predictions, including:– an energy‑dependent effective gravitational constant G_eff,– AM‑induced dissipation in compact binary mergers,– vortex‑energy quantization at high frequencies,– measurable CMB spectral distortions, and– modest but observationally distinguishable departures from ΛCDM in the expansion history (e.g., slightly earlier onset of cosmic acceleration). Convergence of microphysics, gravity, and cosmology.The work offers a coherent theoretical structure spanning nucleon kernels, rotating astrophysical objects, galactic dynamics, jet energetics, cluster thermodynamics, cosmic acceleration, and quantum fluctuations of the medium. It suggests a unified physical origin for gravity, dark matter (via vortex kinetic energy), dark energy (via residual medium pressure), and particle masses (via AM deformation energy). Given its scope, internal consistency, and falsifiable predictions, I believe the manuscript could contribute meaningfully to ongoing discussions surrounding alternative gravity theories, emergent‑spacetime models, continuum‑mechanical approaches to gravitation, and unified treatments of gravitational and quantum phenomena. I affirm that the manuscript is original, has not been published before, and is not under consideration elsewhere. Thank you for your time and consideration. I look forward to your assessment and any feedback you or the reviewers may offer. Sincerely,Sreeman Barua