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## Main Question or Discussion Point

Recently looked at why temperature flows from high Temperatures to Low temperatures.Essentially it was laid on two Fundamental Assumptions:

1.Energy is conserved in the isolated system

2.Entropy in isolated non quasi static systems will always tend to increase.

Lets take a brief look at Noethers theorem:

If a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in time.

Now without entering the mathematics. conservation of energy is a because of invariance under time translations.That is the langragian is not explicitly depending on time energy is conserved.

Without entering the mathematics, lets assume that we are in a system such that the above assumption is thrown out of the window.Would that mean that temperature does not need to flow from high temperatures to low temperatures?

1.Energy is conserved in the isolated system

2.Entropy in isolated non quasi static systems will always tend to increase.

Lets take a brief look at Noethers theorem:

If a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in time.

Now without entering the mathematics. conservation of energy is a because of invariance under time translations.That is the langragian is not explicitly depending on time energy is conserved.

Without entering the mathematics, lets assume that we are in a system such that the above assumption is thrown out of the window.Would that mean that temperature does not need to flow from high temperatures to low temperatures?