arXiv subjects

Gilles Cohen-Tannoudji

Publications and source records attributed to Gilles Cohen-Tannoudji.

7 recordsLinked to original sources

arXiv2026

Infrared Spectral Gap in a Gluonic Dark Sector and the Galactic Acceleration Scale

We further develop a trace-anomaly-motivated gluonic scenario in which cold dark matter (CDM) is modeled as a long-lived color-singlet Bose-Einstein condensate seeded at the QCD confinement transition. Specifically, guided by the near-universality of the galactic acceleration scale $g^{}_\dagger \simeq (1\text{--}2)\times10^{-10}\,\mathrm{m\,s^{-2}}$ inferred from the RAR, we hypothesize that this relic gluonic condensate organizes, at galactic distances, into a spectrally rigid lowest-weight structure characterized by a protected infrared gap. Within an effective representation-theoretic framework, Lorentz covariance together with positive-energy lowest-weight unitarity naturally favors the AdS algebra $\mathfrak{so}(2,3)$ as the minimal algebraic structure supporting such a discrete tower of states. The resulting condensate produces, by construction, a cored halo profile with finite total mass $M_h$. Normalizing this profile by the observed approximate universality of the central DM surface density, $Σ_0\simeq141\,M_\odot\,\mathrm{pc}^{-2}$, yields a universal characteristic acceleration $g^{}_\star ={G\, M_h}/{r_{\rm c}^2} \simeq π^2 G\,Σ_0 \simeq 1.9\times10^{-10}\,\mathrm{m\,s^{-2}}$, independent of the particular halo scale; since $Σ_0$ fixes the final expression, the dependence on the collective correlation length $r_{\rm c}$ drops out. Notably, its predicted value lies well within the empirical range of the acceleration scale inferred from the RAR. We also provide an illustrative comparison with representative rotation curves from the SPARC database, indicating phenomenological compatibility of the finite-mass profile with realistic baryonic decompositions. This comparison is not a precision fit to the full SPARC sample, and the agreement with the RAR scale should not be interpreted as a first-principles derivation of the RAR itself.

hep-th↗

arXiv2022

Quantum models a la Gabor for space-time metric

As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space $\left(x,k\right)$ into Hilbertian operators. The $x=\left(x^μ\right)$'s are space-time variables and the $k=\left(k^μ\right)$'s are As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space $\left(x,k\right)$ into Hilbertian operators. The $x=\left(x^μ\right)$'s are space-time variables and the $k=\left(k^μ\right)$'s are their conjugate wave vector-frequency variables. The procedure is first applied to the variables $\left(x,k\right)$ and produces canonically conjugate essentially self-adjoint operators. It is next applied to the metric field $g_{μν}(x)$ of general relativity and yields regularised semi-classical phase space portraits $\check{g}_{μν}(x)$. The latter give rise to modified tensor energy density. Examples are given with the uniformly accelerated reference system and the Schwarzschild metric. Interesting probabilistic aspects are discussed.

quant-ph↗

arXiv2021

Cold Dark Matter: A Gluonic Bose--Einstein Condensate in Anti-de Sitter Space Time

In the same way as the realization of some of the famous gedanken experiments imagined by the founding fathers of quantum mechanics has recently led to the current renewal of the interpretation of quantum physics, it seems that the most recent progresses of observational astrophysics can be interpreted as the realization of some cosmological gedanken experiments such as the removal from the universe of the whole visible matter or the cosmic time travel leading to a new cosmological standard model. This standard model involves two dark components of the universe, dark energy and dark matter. Whereas dark energy is usually associated with the cosmological constant, we propose to explain dark matter as a pure QCD effect, namely a gluonic Bose Einstein condensate, following the transition from the quark gluon plasma phase to the colorless hadronic phase. Our approach not only allows us to assume a ratio Dark/Visible equal to 11/2 but also provides gluons (and di-gluons, viewed as quasi-particles) with an extra mass of vibrational nature. Such an interpretation would comfort the idea that, apart from the violation of the matter/antimatter symmetry satisfying the Sakharov's conditions, the reconciliation of particle physics and cosmology needs not the recourse to any ad hoc fields, particles or hidden variables.

gr-qc↗

arXiv2020

The de Broglie universal substratum, the Lochak monopoles and the dark universe

We propose to interpret the dark universe (dark matter and dark energy) of the current cosmological standard model as emerging together with ordinary matter, from the quantum vacuum, which de Broglie called the "universal substratum". It will be shown that this interpretation may lead to a reasonable agreement between the current understanding of the quantum vacuum in quantum field theory and current evidences for the existence of dark energy and dark matter, and that dark matter can be interpreted as emerging from the QCD vacuum, as a Bose-Einstein gluon condensate, with an energy density relative to the baryonic energy density that agrees with observation.

physics.hist-ph↗

arXiv2018

Lambda, the Fifth Foundational Constant Considered by Einstein

The cosmological constant, usually named Lambda, was introduced by Einstein in 1917 and abandoned by him as his biggest "blunder". It currently seems to make a spectacular comeback in the framework of the new cosmological standard model. One will explain why, together with the Planck's constant, the Boltzmann's constant, the celerity of light and the Newton's constant, also considered by Einstein, the cosmological constant may play a foundational role in the conceptual framework, an in the metrological framework a role comparable with the one attributed to Avogadro constant

physics.hist-ph↗

arXiv2014

An interpretive conjecture for physics beyond the standard models: generalized complementarity

Our interpretive conjecture is inspired by the epistemology due to Ferdinand Gonseth (1890-1975) who interpreted complementarity as the relationship between profound and apparent reality horizons. It consists, on the one hand, on enlarging the scope of quantum theory to the most profound reality horizon, namely a triply quantum theory of gravitation that would be able to take into account simultaneously as elementary quanta the Planck's constant, the Planck's space-time area and the Boltzmann constant, and, on the other hand, on interpreting in terms of generalized complementarity three doubly quantum schemata taking into account by pairs, these three elementary quanta and form the apparent reality horizon.

gr-qc↗

arXiv2011

A New Scientific Revolution at the Horizon?

At this beginning of the 21st century, the situation of physics is not without analogy with that which prevailed a hundred years ago, with the outset of the double scientific revolution of relativity and quanta. On the one hand, recent progress of observational cosmology makes think that one has discovered a new universal constant, perhaps as fundamental as the velocity of light or the Planck's constant, the cosmological constant, which could explain the acceleration of the expansion of the universe. On the other hand, just like the efforts of Planck and Einstein to reconcile thermodynamics and the electromagnetic theory of light led to the operational beginning of quantum physics, the unexpected discovery of bonds between thermodynamics and general relativity makes to foresee new concepts, perhaps heralding a new scientific revolution, like that of holography and leads to consider a "thermodynamic route towards quantum cosmology." We will discuss the possible implications of these observational and theoretical developments.

physics.hist-ph↗