Ignazio Licata

The Archaic Universe: Big Bang, Cosmological Term and the Quantum Origin of Time in Projective Cosmology

This article proposes some cosmological reflections at the qualitative and conjectural level, suggested by the Fantappié-Arcidiacono projective relativity theory. The difference will firstly be discussed between two types of singularity in this theory: geometric (dexa0Sitter horizon) and physical (big bang, big crunch). The reasons for the existence of geometric singularities are deeply rooted in the principle of inertia and in the principle of relativity, while physical singularities are associated with the creation or destruction of matter.In this framework, quantum mechanics is introduced through a particular interpretation of Bohm’s holomovement. Finally, a possible mechanism is discussed for the genesis of the cosmological term. No form of inflation appears in the scenario described.

A machian request for the equivalence principle in extended gravity and nongeodesic motion

Starting from the origin of Einstein’s general relativity (GR), the request of Mach on the theory’s structure has been the core of the foundational debate. That problem is strictly connected with the nature of the mass-energy equivalence. It is well known that this is exactly the key point that Einstein used to realize a metric theory of gravitation having an unequalled beauty and elegance. On the other hand, the current requirements of particle physics and the open questions within extended gravity theories request a better understanding of the Equivalence Principle (EP). TheMOND theory byMilgrom proposes a modification of Newtonian dynamics, and we consider a direct coupling between the Ricci curvature scalar and the matter Lagrangian showing that a nongeodesic ratio mi/mg can be fixed and that Milgrom’s acceleration is retrieved at low energies.

Can the periodic spectral modulations observed in 236 Sloan Sky Survey stars be due to dark matter effects

The search for dark matter (DM) is one of the most active and challenging areas of current research. Possible DM candidates are ultralight fields such as axions and weak interacting massive particles (WIMPs). Axions piled up in the center of stars are supposed to generate matter/DM configurations with oscillating geometries at a very rapid frequency, which is a multiple of the axion mass

The Charge in a Lift. A Covariance Problem

m_B

Projective Special Relativity

[1,2]. Borra and Trottier recently found peculiar ultrafast periodic spectral modulations in

Point, Fluid and Wave Mechanics

236

Steps Towards the De Sitter Relativity

main sequence stars in the sample of

De Sitter Relativity: A Sixty-Year-Long Story

2.5

Projective General Relativity (PGR)

million spectra of galactic halo stars of the Sloan Digital Sky Survey that were interpreted as optical signals from extraterrestrial civilizations, possible candidates for the search for extraterrestrial intelligence (SETI) program [3]. We argue, instead, that this could be the first indirect evidence of bosonic axion-like DM fields inside main sequence stars, with a stable radiative nucleus, where a stable DM core can be hosted. These oscillations were not observed in earlier stellar spectral classes probably because of the impossibility of starting a stable oscillatory regime due to the presence of chaotic motions in their convective nuclei. The axion mass values,

Quantum jumps: from foundational research to particle physics

(50 < m_B < 2.4 times 10^{3})~ mathrm{mu eV}