Gauge-covariant momentum yields branch-dependent electromagnetic sources in the Raychaudhuri equation for Lorentz-violating congruences, producing focusing or defocusing that depends on the dispersion branch and field gradients.
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Temperature requires continuous photon energy input averaging 2.701 times the characteristic energy E_c to offset radiative losses and sustain the Planck distribution.
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
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Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
Gauge-covariant momentum yields branch-dependent electromagnetic sources in the Raychaudhuri equation for Lorentz-violating congruences, producing focusing or defocusing that depends on the dispersion branch and field gradients.
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Temperature as a Dynamically Maintained Steady State: Photonic Mechanisms, Maintenance Cost, and the Limits of the Infinite-Reservoir Idealization
Temperature requires continuous photon energy input averaging 2.701 times the characteristic energy E_c to offset radiative losses and sustain the Planck distribution.
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Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.