Energy and proper time (not relativity)

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SUMMARY

The discussion centers on the relationship between energy homogeneity and the concept of proper time in linear thermodynamics. A homogeneous energy state indicates uniform energy distribution, leading to a static system where time lacks significance. The participants explore the implications of this relationship, particularly in the context of reaching thermal equilibrium, which may serve as an example of a proper time scale. The dialogue emphasizes the necessity of dynamics for a meaningful time measurement within the system.

PREREQUISITES
  • Understanding of linear thermodynamics principles
  • Familiarity with the concept of energy homogeneity
  • Knowledge of proper time in physical systems
  • Basic grasp of quantum mechanics and conjugate variables
NEXT STEPS
  • Research the implications of energy homogeneity in thermodynamic systems
  • Study the concept of proper time in various physical contexts
  • Examine the dynamics of reaching thermal equilibrium in closed systems
  • Explore the relationship between energy and time in quantum mechanics
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Physicists, thermodynamic researchers, and students interested in the interplay between energy distribution and time measurement in physical systems.

dapias09
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Hi guys,

In a scientific paper, I have found the following sentence:

"...given the fact that the system is homogeneous in energy, or equivalently, that it has no proper time scale."

I'm not sure about what the authors intend to say (what is the relation between being homogeneous in energy and having (or not) a proper time scale). I know the relationship of energy and time as conjugate variables in the formalism of quantum mechanics but this paper is about linear thermodynamics.

Perhaps you interpret this better than me.

Thanks in advance
 
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The "homogeneous energy" state means that the energy is the same everywhere. In that case the system is static - there is no natural change to the system, and hence time is not meaningful.

Think of a can full of warm air at the same temperature as the ambient air. About the only action left is diffusion.
 
Thank you @UltrafastPED, would one example about a proper-time scale be the average time of reaching the thermal equilibrium?
 
I'd have to read the paper to see what the author had in mind ... but that seems reasonable.

That is, your system requires some dynamics.
 

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