$${\mathcal {H}}$$ H olographic $${\mathcal {N}}$$ N aturalness and $${\mathcal {C}}$$ C osmological $${\mathcal {R}}
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Holographic Naturalness and Cosmological Relaxation Andrea Addazi1,2,a 1 Center for Theoretical Physics, College of Physics Science and Technology, Sichuan University,
Chengdu 610065, China
2 INFN Sezione Roma Tor Vergata, 00133 Rome, Italy
Received: 13 September 2020 / Accepted: 10 November 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract We rediscuss the main Cosmological Problems as illusions originated from our ignorance of the hidden information holographically stored in vacuo. The Cosmological vacuum state is full of a large number of dynamical quantum hairs, dubbed hairons, which dominate the Cosmological Entropy. We elaborate on the Cosmological Constant (CC) problem, in both the dynamical and time-constant possibilities. We show that all dangerous quantum mixings between the CC and the Planck energy scales are exponentially suppressed as an entropic collective effect of the hairon environment. As a consequence, the dark energy scale is UV insensitive to any Planckian corrections. On the other hand, the inflation scale is similarly stabilized from any radiative effects. In the case of the Dark energy, we show the presence of a holographic entropic attractor, favoring a time variation of → 0 in future rather than a static CC case, i.e., the w > −1 Dynamical DE is favored over a CC or a w < −1 phantom cosmology. In both the inflation and dark energy sectors, we elaborate on the Trans-Planckian problem, in relation with the recently proposed Trans-Planckian Censorship Conjecture (TCC). We show that the probability for any sub-Planckian wavelength modes to survive after inflation is completely negligible as a holographic wash-out mechanism. In other words, the hairons provide for a holographic decoherence of the transplanckian modes in a holographic scrambling time. This avoids the TCC strong bounds on the Inflaton and DE potentials.
1 Introduction Apparently, the inflation + CDM paradigm can explain most of the observational aspects in the Universe. The Planck data on the Cosmic Microwave Background (CMB) are fully compatible with the existence of dark energy, cold dark matter and an inflation stage in early Universe [1]. Then, why are most of theoreticians absolutely unsatisfied with it? The Dark Energy (DE) as well as the inflation lie on a edge line among phenomenological satisfaction and theoretical puzzles. The situation, in a nutshell, is as follows. The large-scale cosmological dynamics is dominated by the DE, sourcing for the late Universe acceleration. The DE is thought as an exotic fluid providing for a Cosmological Constant (CC) term within the Einstein equation of fields. The CC fastidiously remains elusive to any attempts of comprehending its origin, existence and stability. First of all, it is really not clear if originated
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from any quantum field vacuum energy or if s
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