Emergent Phenomena OF Time in Quantum Mechanics

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Koichiro Matsuno

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Despite the fact that quantum mechanics does not totally

dismiss the possibility that time could serve as an operator

carrying some agential capacity, time in the usual practice

of quantum mechanics is taken to be a parameter instead of

an operator. An alternative to render time to be an operator

or an agency in the realm of quantum mechanics is found in

appreciating the local act of preparing boundary conditions

explicitly. The act of preparing boundary conditions is

inseparable from another local act of measuring part of the

boundary conditions since the preparation assumes identification

of the participants. Both preparation and measurement are forms

of interaction of material origin. Preparation-measurement

complex constitutes a unique form of dynamics in the sense that

what has been prepared can subsequently be measured and what has

been measured can participate in subsequent preparation. Although

time as a parameter in quantum mechanics is synonymous with

complete preparation of boundary conditions to whatever extent in

a manner of being totally independent of the act of measurement,

preparation-measurement complex through local acts undermines

time as a parameter. Instead, time as an operator or an agency

comes up. What is specific to quantum mechanics is the occurrence

of quantum entanglement intertwining the perparation-measurement

complex. Unless both acts of preparation and measurement are

rigid enough to eliminate room for internal determination on the

part of local participants, quantum entanglement can make it

possible to put those local participants as much as possible under

a common nonlocal umbrella of quantum coherence. This is nothing

but an actual embodiment of time as an agency. Quantum entanglement

as an intrinsic material capacity of organization extending

nonlocally, potentially without limits, is tailored by another

agency called time. Actual emergent phenomena of material origin

in the empirical domain are due to the interplay between two

agencies, quantum entanglement and time.

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