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Salvatore Capozziello [3]S. Capozziello [2]
  1.  5
    Addressing the cosmological $$H_0$$ tension by the Heisenberg uncertainty.Salvatore Capozziello, Micol Benetti & Alessandro D. A. M. Spallicci - 2020 - Foundations of Physics 50 (9):893-899.
    The uncertainty on measurements, given by the Heisenberg principle, is a quantum concept usually not taken into account in General Relativity. From a cosmological point of view, several authors wonder how such a principle can be reconciled with the Big Bang singularity, but, generally, not whether it may affect the reliability of cosmological measurements. In this letter, we express the Compton mass as a function of the cosmological redshift. The cosmological application of the indetermination principle unveils the differences of the (...)
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  2. From Dark Energy & Dark Matter to Dark Metric.S. Capozziello, M. De Laurentis, M. Francaviglia & S. Mercadante - 2009 - Foundations of Physics 39 (10):1161-1176.
    We present a new approach to the mathematical objects of General Relativity in terms of which a generic f(R)-gravity theory gravitation is written in a first-order (à la Palatini) formalism, and introduce the concept of Dark Metric which could bypass the emergence of disturbing concepts as Dark Energy and Dark Matter. These issues are related to the fact that General Relativity could not be the definitive theory of Gravitation due to several shortcomings that come out both from theoretical and experimental (...)
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  3.  29
    Aims and Scopes of the Special Issue: Foundations of Astrophysics and Cosmology.Alessandro D. A. M. Spallicci, Tomislav Prokopec & Salvatore Capozziello - 2017 - Foundations of Physics 47 (6):709-710.
  4.  27
    A Review About Invariance Induced Gravity: Gravity and Spin from Local Conformal-Affine Symmetry. [REVIEW]S. Capozziello & M. De Laurentis - 2010 - Foundations of Physics 40 (7):867-899.
    In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a gauge theory which can be obtained starting from some local invariance as the Poincaré local symmetry. We review previous results where the inhomogeneous connection coefficients, transforming under the Lorentz group, give rise to gravitational gauge potentials which can be used to define covariant derivatives accommodating minimal couplings of matter, (...)
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  5.  3
    The Heisenberg Limit at Cosmological Scales.Salvatore Capozziello, Micol Benetti & Alessandro D. A. M. Spallicci - 2022 - Foundations of Physics 52 (1):1-9.
    For an observation time equal to the universe age, the Heisenberg principle fixes the value of the smallest measurable mass at mH=1.35×10-69\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m_\mathrm{H}=1.35 \times 10^{-69}$$\end{document} kg and prevents to probe the masslessness for any particle using a balance. The corresponding reduced Compton length to mH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m_\mathrm{H}$$\end{document} is, and represents the length limit beyond which masslessness cannot be proved using a metre ruler. In turns, is (...)
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