On the Rational Continuum Mechanics of the Unified Field
Abstract
In recent author's works the argument has been made that a viscoelastic absolute medium (called the metacontinuum) exists and it was shown that Maxwell-Hertz equations are a straightforward corollary from the governing equations of the metacontinuum. Here we assume that the metacontinuum is actually a thin 3D hypershell in the 4D space. The ``master'' equation for the deflection ζ of very thin but very stiff shells is a nonlinear equation of Boussinesq type. As mentioned by Schr"odinger himself the wave equation written for the real or imaginary part of the wave function is a linearized shell/plate equation. Thus the wave function in our model has a clear non-probabilistic interpretation as the actual amplitude of the flexural deformation. A dispersive nonlinear equation admits solitary wave solutions (solitons) that behave as particles upon collisions (called quasi-particles or QPs). We stipulate here that the material particles are our perception (schaumkommen in Schr"odinger's own words) of the QPs of the ``master'' equation. We show the passage from the continuous to the discrete Lagrangian of the centers of QPs and introduce the concept of (pseudo)mass. The membrane tension results into an attractive (gravitational?) force acting between the QPs.
- Publication:
-
APS Southeastern Section Meeting Abstracts
- Pub Date:
- November 2007
- Bibcode:
- 2007APS..SES.DB001C