@ughaibu,
Quote:Free will is observable in the scientific sense of observation.
No what you are talking about is pseudo-science. Free will requires us to have realizable alternatives from your definition. To verify that scientifically we should have to recreate the identical conditions of some choice and show that we could make a different choice. If we do not have identical conditions then we are not testing for all possible influences on the choice whether external to the chooser or not. Because we cannot reproduce identical conditions then we have not proven that free will has been observed or that it even exists.
Now I understand you have a problem with the identical conditions part of this. But for the test to be valid and include all possible factors it must be a near perfect recreation of the original choice. Because the human brain and body are constantly changing with time. No test could be given to ensure the conditions are equivalent. Also having knowledge of a previous choice impairs ones ability to provide a valid demonstration in being able to choose realizable alternatives when confronted with that choice again.
You will probably say it is absurd to expect this because no experiment in science requires identical conditions. You are right. But most experiments in science are designed to test generalizations from simple phenomena which can be extrapolated to many cases. Your proposal is not that. It is a very specific inquiry on a highly complex system that we are not even close to understanding. But an alternative experiment for you might be to show that as the experimental conditions grow closer and closer to the original conditions of a choice, the choices are seen to differ with undiminished variety and hence choices are not seen to be continuously repeated. To what degree of closeness between the experimental and original conditions of a choice is needed to verify free will really depends on the complexity of the human mind and how sensitive it may be to these possible factors.
The only case that comes to mind would be to test someone with only short term memory. You know those people that wake up day after day repeating the same day and memories of some time just before a traumatic brain injury took place. Place such a person under as similar as possible conditions day after day noting that it would be extremely hard to control factors like bodily functions, illness, etc. Then provide him with the same choice day after day or a series of choices each day. Then see what would happen. Its not ideal but that would at least be scientific which is better than what you propose.