In an a-temporal view of the universe, the wavefunction which describes the state of a given physical system does not vary in time but vary in a four-dimensional ATPS and the stream of changes that it has in space is itself time.
Also the law of motion of the particle in Bohm's version of quantum mechanics, m [d.sup.2][??]/d[t.sup.2] = - [nabla](V + Q), can receive an analogous interpretation: here, t does not represent a "real" physical time, but rather the stream of changes of the particle into consideration in ATPS. The acceleration [d.sup.2][??]/d[t.sup.2] is not the variation of the speed in time but the stream of changes to which the speed is subjected in ATPS.
Now, we can understand well the connection between this a-temporal interpretation of the law of motion in Bohm's pilot-wave theory and the interpretation of a subatomic particle in quantized ATPS. As we have said in the previous chapter, it is the vibration of certain QS at appropriate frequencies that determines the appearance of a particle in ATPS and creates the wave which guides the particle during its motion.
In fact, it implies a correspondence between bohmian quantum potential and the entropic energy shifting among the QS (responsible of the materialization in different points of space of an elementary particle): as regards microscopic processes, ATPS assumes the special "state", represented by quantum potential, in consequence of the entropic energy shifting between various QS, and therefore in consequence of the vibration of such QS at appropriate frequencies.
The interpretation of quantum potential as the special "state" of ATPS in the presence of microscopic processes, can be also seen as a natural consequence which derives from quantum nonlocality.
QS constituting ATPS vibrate at the "basic frequency" and are the "non-entropy" state of energy; QS constituting matter vibrate at appropriate frequencies (lower than the basic one) and are the "entropy state" of energy.
caused by the ambient situation existing in the region of ATPS in examination.
Studying the motion of a subatomic particle on the basis of the laws of Bohm's version of quantum mechanics and of our a-temporal model in quantized ATPS, we have the following results: On one side, in Bohm's version of quantum mechanics, the movement of the particle is determined by the sum of a classic potential and a quantum potential and, on the other side, in quantized ATPS, it's tied to the interaction of a discrete quantity of entropic energy with the various QS composing the trajectory described by the particle itself (interaction produced by the vibration of these QS at certain appropriate frequencies).
According to this model, the wavefunction [psi] describing the state of a given physical system doesn't vary in time, but varies in a four-dimensional ATPS and the stream of changes that it has in space is itself time.
(H being the Hamiltonian of the system), doesn't represent time but rather the stream of changes that the physical system has in ATPS and, thus,
is the partial derivative of the wavefunction with respect to the stream of changes of the system in ATPS.
can receive an analogous interpretation; here, t doesn't represent a "real" physical time, but rather the stream of changes of the particle in examination in ATPS. The acceleration