**Authors:** Jean Louis Van Belle

The geometry of the elementary quantum-mechanical wavefunction and a linearly polarized electromagnetic wave consist of two plane waves that are perpendicular to the direction of propagation: their components only differ in magnitude and – more importantly – in their relative phase (0 and 90° respectively). The physical dimension of the electric field vector is force per unit charge (N/C). It is, therefore, tempting to associate the real and imaginary component of the wavefunction with a similar physical dimension: force per unit mass (N/kg). This is, of course, the dimension of the gravitational field, which reduces to the dimension of acceleration (1 N/kg = 1 m/s2). The results and implications are remarkably elegant and intuitive: - Schrödinger’s wave equation, for example, can now be interpreted as an energy diffusion equation, and the wavefunction itself can be interpreted as a propagating gravitational wave. - The energy conservation principle then gives us a physical normalization condition, as probabilities (P = |ψ|2) are then, effectively, proportional to energy densities (u). - We also get a more intuitive explanation of spin angular momentum, the boson-fermion dichotomy, and the Compton scattering radius for a particle. - Finally, this physical interpretation of the wavefunction may also give us some clues in regard to the mechanism of relativistic length contraction. The interpretation does not challenge the Copenhagen interpretation of quantum mechanics: interpreting probability amplitudes as traveling field disturbances does not explain why a particle hits a detector as a particle (not as a wave). As such, this interpretation respects the complementarity principle.

**Comments:** 35 Pages.

**Download:** **PDF**

[v1] 2017-09-26 10:59:51

[v2] 2017-09-30 12:32:34

[v3] 2017-10-02 13:39:09

[v4] 2017-10-15 18:54:20

[v5] 2017-10-22 20:53:03

**Unique-IP document downloads:** 326 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *