Volume 11, Issue 4, pages 664-686
This study interprets the observation process in quantum mechanics as involving quantum states that propagate forward and backward in time. The retrogression in time follows from the energy-time uncertainty relation, according to which if a quantum state’s energy is fixed by a measurement, its time evolution may fluctuate. The resulting time-reversed state was represented by a bra vector, which was the complex conjugate of the original state’s ket vector. The time-reversed bra vector and time-evolving original ket vector interacted along the time axis to generate a `bra-ket state’, which was time-invariant and indicates the determination of the state. Among all time-reversed states, the one with the least energy dispersion reaches the furthest into the past, which results in this state being established and the other states disappearing. This is why a single state is determined by observation. Furthermore, while time fluctuation also occurs in the future, the relevant state vectors do not exist beyond the furthest future point. Consequently, once the present exceeds this fluctuation time, only a previously generated time-invariant bra-ket state exists. The existence of a single state after the furthest time in the past and future explains how observations induce quantum state contraction.
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