Prespacetime journal· 2017
On the Theoretical Foundations of Newton's Law of Cooling
- 0citations
- 2017year
Short summary
Newton's Law of Cooling (NLC) is theoretically grounded, demonstrating that thermal states exist for every quantum mechanical energy state, with their density inversely proportional to energy (DTS ∝ 1/E).
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Key points
- Newton's Law of Cooling (NLC) is shown to have theoretical underpinnings.
- NLC implies thermal states exist for every quantum mechanical energy state.
- The density of these thermal states varies inversely with the energy of the quantum state (DTS ∝ 1/E).
- The findings align with Heisenberg's uncertainty principle, indicating a minimum quantum mechanical momentum energy state and a minimum temperature.
AI-generated from the title and abstract; the full text is not read.
Abstract
Unlike the Stefan-Boltzmann Law (SBL), Newton (1700)'s Law of Cooling (NLC) lacks theoretical foundations. We demonstrate that NLC points to the existence of thermal states associated with every quantum mechanical energy state and these thermal density of state vary inversely as the energy of the given quantum state. From our ndings, we show that NLC invariably points to the existence ofthermal states associated with every possible quantum mechanical state a d the density of states DTS of these thermal states varies inversely with the energy (E) of the associated quantum mechanical state, i.e. (DTS ∝ 1/E). Further , in agreement with Heisenberg (1927)'s quantum mechanical uncertainty principle, we find out that NCL invariably points to the existence of a minimum quantum mechanical momentum energy state and as-well a minimum temperature. If such a state did not existence, the resulting physics would require thermodynamic bodies to emit an infinite amount of thermal radiation. Thus, the existence of this minimum quantum mechanical momentum energy state guards against this catastrophe.
The authors' abstract, as published at the source. Prespacetime journal, 2017 · DOI ↗
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Field: Statistical and Nonlinear Physics
Statistical and Nonlinear PhysicsPhysics and Astronomy