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Extra info for Space Time Geometry and Quantum Events
Example text
The Transaction as a Quantum Concept 29 For example, let us consider the well-known double-slit experiment. In such a case, is the ket associated with the “preparation” of the “particle” in the source and is the bra associated with the "detection" of the "particle" behind the screen containing the slits. Under the action of S , evolves freely up to the interaction with the screen. If the screen is completely absorbent, then, indicating as x the position of a generic point on its rear wall, one has x = 0, unless x corresponds to one of the two slits.
Some remarks. 1) We have assumed for simplicity that N(i), M(i) are integer positive numbers. Actually, this condition may be removed. The quality r, for example, can be a physical quantity which assumes continuous values on a real segment (which can possibly be extended, with a passage to the limit, to the real straight line or to a halfstraight line). This segment can thus be subdivided into L identical contiguous segments and the index i can be applied to distinguish these segments. In other words, one can let r = riif the value of r falls within the i-th segment.
Time, in particular, emerges from the archaic physical vacuumas a consequence of the unfolding described by means of the Wick rotation, so that the “thermostat” does not live in time but rather belongs to a timeless dimension which unfolds through the rotation. Any attempt to re-obtain locality through a completion of this representation with hidden variables is therefore doomed to failure. Conclusion In our opinion, the reformulation of the transaction concept presented in this work maintains the essential premises of Cramer’s approach.