## Constructing a Mathematical Framework for the Ensemble Interpretation Based on Double-Slit Experiments

**Authors:** Chong Wang

The ensemble interpretation attributes the wave appearances of particles to their
statistical characteristics. This has increasingly interested scientists. However,
the ensemble interpretation is still not a scientific theory based on mathematics.
Here, based on the double-slit experiment, a mathematical framework for the ensemble
interpretation is constructed. The Schrodinger equation and the
de-Broglie equation are also deduced. Analysis shows that the wave appearance of particles
is caused by the statistical properties of these particles; the nature of the
wave function is the average least action for the particles in a position.

**Comments:** 7 Pages.

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### Submission history

[v1] 2016-12-29 22:57:41

[v2] 2017-04-13 22:02:19

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