Houjun Liu

Strong Free Will

Reading Notes

Strong Free Will vs. Weak Free Will — “will” and “bells inequality” is a demonstration of indeterminism/randomness between particles — but indeterminism and randomness a demonstration of will.

That if humans have free will, it should be spawened from the indeterminism of elementary particles

It asserts, roughly, that if indeed we humans have free will, then elementary particles already have their own small share of this valuable commodity.

SPIN Axiom

SPIN Axiom: Measurements of the squared (components of) spin of a spin 1 particle in three orthogonal directions always give the answers 1, 0, 1 in some order.

TWIN Axiom

Paired particles will come up with same measurements if measured in the same way

The TWIN Axiom: For twinned spin 1 particles, suppose experimenter A performs a triple experiment of measuring the squared spin component of particle a in three orthogonal directions x, y, z, while experimenter B measures the twinned par- ticle b in one direction, w . Then if w happens to be in the same direction as one of x, y, z, experimenter B’s measurement will necessarily yield the same answer as the corresponding measurement by A.

Free as something that cannot be an uncurried function of previous states

To say that A’s choice of x, y, z is free means more precisely that it is not determined by (i.e., is not a function of) what has happened at earlier times (in any inertial frame).

MIN Axiom

Choice of direction of measurement of one twinned qubit does not influence the results of the current qubit (unless they happen to align.)

The MIN Axiom: Assume that the experiments performed by A and B are space-like separated. Then experimenter B can freely choose any one of the 33 particular directions w , and a’s response is independent of this choice. Similarly and inde- pendently, A can freely choose any one of the 40 triples x, y, z, and b’s response is independent of that choice.