Nonlocality of Particle Properties and Quantum Mechanics
| Main Author: | Francesco R. Ruggeri |
|---|---|
| Format: | info publication-preprint Journal |
| Terbitan: |
, 2021
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/5224538 |
Daftar Isi:
- Classical mechanics and even classical statistical mechanics depend on properties of a particle being defined at each point (x,t). We argue that quantum mechanics does not impose this locality, even for a free particle. In a previous note (1), we argued that d/dx Action = p ((1a)) and d/dt Action = -E ((1b) for the case of v=x/t with x and t being varied separately. V (velocity), however, is really a constant and so one should not vary x and t separately without a contraint. In (1), we suggested x and t fluctuations to be linked to d/dx and d/dt, but in this note, we consider the idea that a property of a quantum particle may not be defined at a particular point in space and yet may be very real, such as momentum. Experimentally, momentum may be measured, but even classically it is measured at (x,t) only as an approximation because an interaction must occur. If quantum properties are not measured locally, one must still be able to distinguish between say p1 and p2 (momenta), otherwise one should not use the concept of momentum. If one does not distinguish locally, then one should distinguish globally. How can this be done? It seems one has to shift to the idea of probability functions and argue that distinguishable momentum probability functions P(p/x) are orthogonal over space, but not fully distinguishable at any specific point x. In other words, P(p/x) may not be a real probability as in classical statistical mechanics. In order to find the probability P(p/x), we suggest that one may convert ((1a)) and ((1b)) into eigenfunction equations.