AUTHOR=Salucci Paolo , Esposito Giampiero , Lambiase Gaetano , Battista Emmanuele , Benetti Micol , Bini Donato , Boco Lumen , Sharma Gauri , Bozza Valerio , Buoninfante Luca , Capolupo Antonio , Capozziello Salvatore , Covone Giovanni , D’Agostino Rocco , De Laurentis Mariafelicia , De Martino Ivan , De Somma Giulia , Di Grezia Elisabetta , Di Paolo Chiara , Fatibene Lorenzo , Gammaldi Viviana , Geralico Andrea , Ingoglia Lorenzo , Lapi Andrea , Luciano Giuseppe G. , Mastrototaro Leonardo , Naddeo Adele , Pantoni Lara , Petruzziello Luciano , Piedipalumbo Ester , Pietroni Silvia , Quaranta Aniello , Rota Paolo , Sarracino Giuseppe , Sorge Francesco , Stabile Antonio , Stornaiolo Cosimo , Tedesco Antonio , Valdarnini Riccardo , Viaggiu Stefano , Yunge Andy A. V. TITLE=Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds JOURNAL=Frontiers in Physics VOLUME=8 YEAR=2021 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.603190 DOI=10.3389/fphy.2020.603190 ISSN=2296-424X ABSTRACT=

In Cosmology and in Fundamental Physics there is a crucial question like: where the elusive substance that we call Dark Matter is hidden in the Universe and what is it made of? that, even after 40 years from the Vera Rubin seminal discovery [1] does not have a proper answer. Actually, the more we have investigated, the more this issue has become strongly entangled with aspects that go beyond the established Quantum Physics, the Standard Model of Elementary particles and the General Relativity and related to processes like the Inflation, the accelerated expansion of the Universe and High Energy Phenomena around compact objects. Even Quantum Gravity and very exotic Dark Matter particle candidates may play a role in framing the Dark Matter mystery that seems to be accomplice of new unknown Physics. Observations and experiments have clearly indicated that the above phenomenon cannot be considered as already theoretically framed, as hoped for decades. The Special Topic to which this review belongs wants to penetrate this newly realized mystery from different angles, including that of a contamination of different fields of Physics apparently unrelated. We show with the works of this ST that this contamination is able to guide us into the required new Physics. This review wants to provide a good number of these “paths or contamination” beyond/among the three worlds above; in most of the cases, the results presented here open a direct link with the multi-scale dark matter phenomenon, enlightening some of its important aspects. Also in the remaining cases, possible interesting contacts emerges. Finally, a very complete and accurate bibliography is provided to help the reader in navigating all these issues.