Free will and Emmy Noether's theorem of time invariant systems

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jmblock2
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Hey all,

Since first learning about Emmy Noether's proof that time invariant laws of physics imply conservation of energy, I can't shake the idea that this is the argument against the notion of free will. Here is my argument:

By Noether's first theorem, whenever the laws are invariant in time, energy is conserved where those laws govern.
The universe's laws have so far been observed to be time invariant.
Brain states are the superposition of all the smaller individual energy states.
Transitions from anyone brain state to another is just the transfer of energy.
Since it's energy transfer, it is conserved and obeys a completely causal relationship.
QED no free will.

Additionally, for there to be free will, wouldn't the laws of physics have to be constantly changing, inside each and every one of our heads for each free will action to actually be free will? Any time they aren't changing then the system is deterministic and there couldn't be free will.

Thoughts, comments... has anyone seen this argument before? Thanks,

Jacob B
 
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