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There are actually an infinite set of paralell MWI worldlines - there are actually an infinite set of cosmoses with different laws of physics. So in this respect The Infinite actually exists .
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Of course; actually exists in THESE models!
I'm aware of these theories, I was just pointing that all concepts are our creations; our mental creations and models, whichcould have or not an equivalent in the world. Of course Plato thinked otherwise

Anyway I think I am getting closer to understand your model of free will, I think it's just your language that confuses me; also English is not my native tongue, which helps my confusion
About infiny; yes I agree some operations with infinities must be different than operating with finite values.
However, take in acount this situation:
Imagine a long string, with waves moving along it. You cant see any end of the string, so you don't know it it's finite or not.
No matter of it's lentgh, you can distinguish parts in it (the waves) and measure it to get the frequency or amplitude.
In other words, sometimes we still can operate, with restrictions, in objects with properties of infinite value. I can't discard operating with your model yet.
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It is ubiquitous, but not always present in the same way. It is directly present as the source of consciousness - it is the thing each of us refers to as "I". It is only indirectly present in the physical world, as its ultimate source. The question boils down to "are inanimate objects minimally conscious?', and we can discuss this if you like, but it may be taking the thread off-course.
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No thanks, it would be clearly off-topic. What I would like to find out is if there is any conceivable model of free will generation which can escape the bounds of my experiment.
I would like to show you an brutally oversimplified example of free will in action which I think it could fit your multiverse model. Please correct me where needed:
A person is pondering about to eat meat or vegetables. It's brain parlamient is so balanced that in a moment we can put the whole weight of the decision in the state of one electron.
As the universe splits, 2 new worlds born. In one, the electron contibuted to choose meat, in the other vegetables.
If you study a frozen multiverse over time, and choose a single branch over the tree, you see that nobody in this "selected" universe could predict the result of the decision.
I understand that this is a discreet example, when your model would be continous. Still, between all the infinite worlds, you could find infinite worlds with the guy eating meat, and infinite worlds with the guy eating vegetables. Also I acknowledge that putting a complex decision in the weight of just 1 electron is too unlikely, I made it for the sake of understanding.
How am I doing? If this model fits with yours, I think I can integrate it in the experiment.