Because it is
physically impossible.
(Since I will be sharing studies, this will be my last reply on the absence of free will, at least if there is no understanding)
In our scenario, you can't move toward the button unless the proper signals in your brain are created in order for you to move. This means that physical signals precedes movement.
BUT
We also know that those physical phenomenons preceed the consciousness of our choices and our experience of will:
>
https://pmc.ncbi.nlm.nih.gov/articles/PMC3052770/ < This study suggest that "
the experience of will emerges as the culmination of premotor activity (probably in combination with networks in parietal cortex) starting several hundreds of ms before awareness."
>
https://www.nature.com/articles/nn.2112 < This study shows that
"the outcome of a decision can be encoded in brain activity of prefrontal and parietal cortex up to 10 s before it enters awareness. "
SO
This means that physical phenomenon preceed the our consciousness and therefore what we think are our choices. Which means that your brain already created the conditions for you to move your finger a few hundreds of milliseconds or even a second before you even experiment the will to choose to push the button.
This was for the physical side of the process. I'm not a scientist, I can't tell you exactly what happens in term of biology or even if there is quantum mechanic involved.
But already we understand that our "will" is but an illusion, a projection of this process inside of our brain. We think we move out of will but our brain already made the deal long before we think we thought about it.
NOW
There is a second layer to that. And this is the nature of the pressure of the material condition of existence on said process. As we understand with those studies, this process is not dependant of your will as it is but an event in a chain of reaction and causality.
But when we look at the influence of the material condition of our existence, we can understand how those will play a role even before the creation of said process inside of our brain.
In our example, you will push the button because you are in love, this is a fundamental part of your material conditions of your existence. And this will be playing a major place in the creation of the process we have talked about before. Love will create the condition for you to move toward one movement : Pushing the button.
You think you have a choice because you will have the illusion of will projected by your brain activity and your consciousness. But this will only be an illusion. There is no choice, there is a pre-determined path created by the entire set of material condition of your existence. Inside your brain and outside of it.
This means that your movement of pushing the button could be predicted to happen exactly as predicted in around 99% of the tests (I'm taking into account the possibility of an event outside of the predicted scenario happening). Simply because in this experimentation, the material conditions of your existence will be somewhat under control and there is absolutely no way that you could let your loved one die without acting.
This shows that your experience of free will, of choice, will be an illusion. Just like it is an illusion for all of us. Even me typing what I'm typing here.
We are not gods who can somehow influence our material condition of existence out of pure will ex-nihilo. We are a part of a greatter system.
No. It's just the result of a long period of introspection and the inaction of this forum. So in a way, you could say that you participated in me giving up the discussions here.