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It is well-known that the vacuum solution of Einstein's theory of general relativity provides a rotating metric with a ring singularity, which is covered by the inner and outer horizons, and an ergo region. In this paper, we will discuss how ghost free, quadratic curvature, Infinite Derivative Gravity (IDG) may resolve the ring-type singularity in nature. It is well-known that a class of IDG actions admit linearized metric solutions which can avoid point-like singularity by a smearing process of the Delta-source distribution induced by non-locality, which makes the metric potential finite everywhere including at $r=0$, and even at the non-linear level may resolve the Schwarzschild singularity. The same action can also resolve the ring singularity in such a way that no horizons are formed in the linear regime, where in this case non-locality plays a crucial role in smearing out a delta-source distribution on a ring. We will also study the full non-linear regime. First, we will argue that the presence of non-local gravitational interaction will not allow the Kerr metric as an exact solution, as there are infinite order derivatives acting on the theta-Heaviside and the delta-Dirac distributions on a ring. Second, we will explicitly show that the Kerr-metric is not a pure vacuum solution when the Weyl squared term, with a non-constant form-factor, is taken into account in the action.

Neural cells cultures from human embryo brain of 9° - 11°W gestational age have been used to study ERα (Estrogens Receptor α) and to perform toxicity test for Mitomycin C and Methotrexate. Histochemical confirmation of cellular neuronal phenotype was based on histochemical evidence of NSE (Neuron Specific Enolase).The detection of ERα in neuronal cells was performed with a rabbit Monoclonal Antibody. ERα was absent both on neurons grown in vitro and on tissue brain specimens. This finding is apparently in contrast with the positive immunoreactivity of ERα and ERβ reported by other Authors on foetal and adult CNS (Central Nervous System). The absence of nuclear ERα on neurons in culture and in brain tissue specimens in our experiment is not in contrast with the relevant physiologic role of estrogens on nervous central system, but it could be correlated to the embryonic period of life and could represent a protection of male brain from an undue estrogens imprinting. The mitomycin C, alkylation agent, has shown in our experiment a major neurotoxic and cytostatic power in comparison with methotrexate. Our conclusion is that human embryo neuronal culture in vitro is a powerful instrument for physiology and human therapy for cancer and neurodegenerative diseases.

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, The original research described in this work has been partially funded by INFN through the IS QGSKY