Even fruit flies and rats have free will
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There is good evidence that there exists modules in animal brains (even fruit flies) that
use the randomness and channel it to generate spontaneous internal variability in response.
http://brembs.net/spontaneous/mayeetal_2007.html
Note that the behavior is not just unchanneled random noise. Neither is it deterministic.
Thus the fly can does choose otherwise under identical conditions!
Next similar things have been observed in rats as well,
http://blogs.discovermagazine.com/neuroskeptic/2014/11/12/rats-free-will/#.V0HPhfkrKM8
Poor thirsty rats.
Physical phenomena that are highly sensitive to initial conditions is not new in physics. The field of
chaos theory . Now chaos theory (the classical version) assumes that the system being studied is inherently deterministic (i.e. classical) but
highly sensitive to initial conditions, so that small inaccuracy in
knowing what the initial condition is leads to charge changes in the evolution of the system. It is a very useful model, particularly for simulations of complex chaotic systems like weather, turbulent flows and things like protein folding in cells.
But let us think of the real world.
1)We know that quantum mechanical indeterminacy exists creating "true" indeterminism at a very small scale.
2) We know that these quantum mechanical variations leads
both to deterministic behavior on the mid-level scale (all classical physics and chemistry) and indeterministic behavior on mid-level scale (
thermal fluctuations,
momentum fluctuations and
fluctuations in electromagnetic fields ). Here is a detailed article that looks specifically at thermal fluctuations and their immense effect at all scales of physics.
http://www.iki.rssi.ru/asp/pub_sha1/Sharch04.pdf
3) What is ultimate source of all this mid-level semi-classical randomness. It is, ultimately, the phenomena (still being investigated) of quantum decoherence that was crudely called the "collapse of wavefunctions" in early stages of quantum theory development.
https://en.wikipedia.org/wiki/Quantum_decoherence. It caused both the determinism and the chaotic noise fluctuations we see at the classical level.
Both are created, and their interaction through chaos theory, becomes the hallmark of complex dynamical systems at higher scales.
4) For even further details on how this occurs in biology. Consider this book
Life's Ratchet. An excellent chapter by chapter overview of the chaotic molecular storm from which all of life's processes get their oomph is
here.
5) The last book that is yet to be written is how life's processes extract "designed spontaneity" from this molecular chaotic storm as well. This will take more research of the kind I alluded to and more research like
this.
Or this article
http://www.rochester.edu/news/show.php?id=2683
6) The mathematics behind this integration of determinism with indeterminism in complex processing systems is described by what is called Stochastic Dynamics. Here is book, technical, bit the intro is enough to understand what the thing is talking about.
https://books.google.com/books?id=P4HuBwAAQBAJ&lpg=PR2&dq=stochastic dynamics&pg=PR2#v=onepage&q=stochastic dynamics&f=false
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