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I have a question that I'm struggling to get clarification on and I would greatly appreciate your thoughts.

Big bang theories describe an extremely low thermodynamic entropy (S) state of origin (very ordered).

Question:Is the big bang considered to be a high or low shannon entropy (H -information) state?

Here's why I question:

S and H are related: S = the amount of H needed to define the detailed microscopic state of the system, given its macroscopic description.

Thus: Gain in entropy always means loss of information.

2nd Law of Thermodynamics: S always tends to increase for closed systems.

Therefore: H is generally decreasing.

This suggests a very high Shannon entropy state at the big bang.

However Shannon entropy is very closely connected to the number of degrees of freedom, etc.

i.e Wasn't there a lot less degrees of freedom around the time of the big bang? Also, wasn't the universe a lot smaller and given the max information density, didn't it have a much smaller max H?

This suggests a very low Shannon entropy state at the big bang.

I'm confused, can't find anything on this anywhere and would love some input.

Blessings to you all :)

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# Shannon Entropy and Origins of the Universe

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