Cosmos and Particles: a Different View of Dark Matter

Abstract

Dark matter clustered in galaxies or clusters is usually interpreted as a new type of material substance subject only to gravitational force. Alternative explanations envisage deviations of the laws of gravity, of the equations of motion or of both from their commonly accepted form. The additional possibility is explored here that the true origin of the effects depicted as "dark matter" should be seen in connection with local violations of the inertia principle, resulting from the quantized granular structure of the cosmic inertial field. Within the framework of Fantappié-Arcidiacono Projective General Relativity (PGR), this quantization appears to be the dual of that of elementary particle masses, which has been suggested for a long time. This hypothesis does not appear to contradict known facts relating to galaxy rotation and to gravitational lensing of clusters. Furthermore, it introduces a new timescale for the coupling of space expansion with structure formation, which could be of interest in cosmology.

Physical Justifications and Possible Astrophysical Manifestations of the Projective Theory of Relativity

“…It is therefore a geometric theory with a radically different basic axiomatics and, moreover, it is not a string theory upon such projective geometry. Also, we ought to indicate that there are alternative theories to the projective theory of relativity, in particular, the so-called Fantappié-Arcidiacono one developed by Licata, Chiatti, and Benedetto [17][18][19][20][21].…”

Dark Universe and distribution of matter as quantum imprinting

“…In the following sections we will see how, in a slight extension of this scenario, the dark matter can find its place as a "fossil" of the archaic pre-vacuum. We will limit our analysis to the exposure of the essential ideas on this topic, by referring these ideas to other works present in the literature [11][12][13] to obtain a comparison with the observational data. As we will see, the idea is that a specific quantization of the inertia formulated in the Archaic Universe leads, in private space, to the dependence of some local effects (the dark matter thickening) derived from the global constant t0.…”

“…Before going on, let us consider T0, a sort of "internal period" of the origin x = 0 of the frame of reference; for the connection of T0 with T1 we will return later on. Here, we hypothesize that in the Archaic Universe the origin of a frame of reference is endowed with a finite extension in x0/c equal to q0, a typical scale of the temporal localization of elementary particles [8][9][10][11][12][13][14]. The random choice of a particular origin on the x0/c axis thus corresponds to an a priori probability equal to the ratio q0/t0 between the interval q0 and the extension of the x0/c axis, and an information 1/a = -log2(q0/t0).…”

“…The application of linear approximation to observational data seems to indicate a preference (whose significance is still an open problem) for three cases: (I) completely harmonic case with d » r, s » 1, for galaxy clusters; (II) s = d/r = f << 1 for single galaxies; (III) s = 1, f not negligible, for single galaxies. These three cases can be summarized, respectively, in the three groups of equations: The application of (30), (31), (32) to concrete cases is examined in other works [12,13]; the fitting of the experimental data is overall satisfactory. We note that is f » s (or amax » c/t0), regardless of the specific case.…”

“…It is necessary to underline that the existence of a "molecule" is completely independent from the possible presence of baryonic matter inside it; in this context, therefore, thickening of dark matter is possible in areas where baryon matter is absent. In particular, systems such as the "Bullet Cluster" do not seem to pose significant interpretative problems [12].…”