抽象的

Beyond the Metrics: Qualitative Introduction to the Modified Gravitation

Carmine Cataldo

As clearly suggested by the title, the aim of this paper lies essentially in providing a simplified introduction to a theory of modified gravitation. And it is easy to understand how the theory in question, very simply, is entirely based upon the conservation of energy. Our Universe, imagined as characterized by at least another spatial dimension, is hypothesized as belonging to the so called oscillatory class, although the variation of distances is not to be intended as a real phenomenon. More precisely, the radius of curvature of the Universe apparently evolves following a simple harmonic motion. Coherently with our perception of reality, matter can be initially imagined as evenly spread on the surface of a four dimensional ball. Actually, once admitted the existence of a further spatial dimension, it would be better to state how, at the beginning, matter homogeneously fills the ball in its entirety. Subsequently, matter can be shared out in different ways, keeping the total amount constant, so as to produce gravitational singularities, herein considered as merely punctual, non rotating and non charged. Time is supposed as being absolute: in other terms, the gravitational source does not produce any real time dilation. The measured distance between the gravitational source and a generic point is not influenced by the value of the mass that generates the field. Therefore, if we consider two generic points, and one of them, taken as origin, acquires mass, the measured distance between the aforesaid points does not undergo any modification whatsoever. Under the above mentioned hypotheses, by ascribing a different meaning to the coordinate usually identified with the distance between the source and any point in the field, a fully Newtonian form for the gravitational potential may be recovered.