Part 1

# Von Laue Diagrams

This webpage is part of the website http://www.mass-gravity.com
To understand the demonstration, it is necessary to read the whole theory.

A set of concentric circles is drawn in (fig. a). These lines represent the geodesics of spacetime far from any mass, in a Minkowski space.

If a static spherical symmetry closed volume is inserted in the centre, spacetime will be curved, as explained in the main text (fig. b). The Minkowski space becomes a Schwarzschild space.

Figure b has been duplicated in (fig. c). The Von Laue Geodesics has been drawn over these circles.

Von Laue, 1921, page 226, reported by Jean Eisenstaedt "Einstein and General Relativity", page 247. The Nobel Prize in Physics 1914 was awarded to Max von Laue, a German Physicist, for his discovery of the diffraction of X-rays by crystals.

We see that the Von Laue Geodesics match EXACTLY the concentric circles. In other words,

The Von Laue Diagrams confirm
the theory described in this Website

### Black Holes (proposal)

The main application of Von Laue geodesics associated with the present theory is to explain with simplicity and consistency black holes. Four situations may be considered:

• A: Light is simply deviated. Calculations are done using the Schwarzschild Metric.
• B: Light is captured by the closed volume. Spacetime is so curved near the closed volumes that the light ray can't escape.
• C: Light comes in collision with the closed volume. In that case, we have a Compton Effect.
• If the light is emitted by the closed volume itself, case B probably applies.

### Dark matter (proposal)

Since a particle (electron, proton...) is a closed volume, its behaviour could be identical to that of a black hole.

If the light comes near to the closed volume (case B), it is possible that a resonance takes place if the circumference of the object is a multiple of its wavelength. In that case, it is possible that particles of groups 2 and 3 of the Standard Model could be nothing but particles of group 1 in resonance. For example, the muon could be an electron in a "level 1 resonance". Level 2 could be the tau. It is even possible to have particles more heavy with "level 3, 4, 5... resonance".

In all case, the resonance increases the closed volume (the mass effect) of the particles but keep their charge unchanged (-1 in this example). A large resonance of a particle could be identical to a mini-black hole and, since we are faced with closed volumes, this could explain the dark matter of the universe: a basic particle in a particular resonance, producing a large closed volume, therefore a large mass effect. Please note that this view is a suggestion, nothing else.