The theory of General Relativity (in the following GR) requires that around any mass the curvature of space becomes positive. That means, the local geometry of space in presence of matter is described by the spherical geometry (I prefer to call it sometimes Riemannian geometry). The famous experiment that confirmed the theory of Einstein measured the deviation of light passing-by a star to a great accuracy.
However there are a number of experimental facts that came lately available (for example from the study of the cosmic microwave background radiation) – that on a large scale the Universe has zero curvature. This means that the global geometry of the Universe is flat and described by the common Euclidean geometry known to everybody from the school. This result is surprising and constitutes on its own a contradiction, since otherwise the validity of the laws of GR continue to be confirmed at cosmologic scales by all observations.
My Matter – Antimatter hypothesis (in the following M-Ah) allows to dissolve this paradox. To do so, we have to recognise that the effect of matter over the trajectory of light is a rather localised effect, restrained to the immediate vicinity of bodies. In plus, one has to remember that there exist a third kind of geometry, called hyperbolic geometry, where the curvature of space is negative. The study of the complementarity and interplay between these three geometries opened to me new perspectives in understanding Nature at both micro- and macro-scales.
In particular, my M-Ah conjectures that there must be regions of space that balance the positive curvature generated by matter, by an equal amount of negative curvature, such us to give zero on the whole volume of the Universe. In other words, wherever there is matter, the local positive curvature must be equilibrated by an opposite curvature reaction of the vacuum.
These hyperbolic distortions of the vacuum are the subject of the next menu point above and are described in details in my e-book in preparation.
(– Suite soon –)