Global and Local Scale Symmetry in Gravitation and Cosmology

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 7243

Special Issue Editor

Special Issue Information

Dear Colleagues,

In our Special Issue on “Global and Local Scale Symmetry in Gravitation and Cosmology” we will review formulations and applications of scale invariance (or “Wely” invariance) in both its global and local forms, and these will be considered in relation to gravitational theories and their cosmological consequences. Among the subjects of interest are the relation of global scale invariance and the appearance of flat potentials, useful in the inflationary phase of the early universe and the late time accelerated expansion of the univese; the importance of scale invariance for the elimination of the 5-th force problem in scalar field-driven late universe scenarios; the relevance of scale invariance in inflation; and the use of local scale invariance to address important questions in gravitation.

Prof. Eduardo Guendelman
Guest Editor

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Keywords

  • Global Scale Invariance
  • Local Scale Invariance
  • Weyl Invariance
  • Inflation
  • 5th Force Problem in Late Time Cosmology
  • Flat Potentials

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Published Papers (3 papers)

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Research

13 pages, 1294 KiB  
Article
Asymmetry in Galaxy Spin Directions: A Fully Reproducible Experiment Using HSC Data
by Lior Shamir
Symmetry 2024, 16(10), 1389; https://doi.org/10.3390/sym16101389 - 18 Oct 2024
Cited by 1 | Viewed by 630
Abstract
The asymmetry in the large-scale distribution of the directions in which spiral galaxies rotate has been observed by multiple telescopes, all showing a consistent asymmetry in the distribution of galaxy spin directions as observed from Earth. Here, galaxies with a redshift from HSC [...] Read more.
The asymmetry in the large-scale distribution of the directions in which spiral galaxies rotate has been observed by multiple telescopes, all showing a consistent asymmetry in the distribution of galaxy spin directions as observed from Earth. Here, galaxies with a redshift from HSC DR3 are annotated by their direction of rotation, and their distribution is analyzed. The results show that galaxies that rotate in the opposite direction relative to the Milky Way as observed from Earth are significantly more prevalent compared to galaxies that rotate in the same direction relative to the Milky Way. The asymmetry also forms a dipole axis that becomes stronger when the redshift gets higher. These results are aligned with observations from virtually all premier digital sky surveys, as well as space telescopes such as the HST and the JWST. This shows that the distribution of galaxy spin directions as observed from Earth is not symmetrical, and has a possible link to the rotational velocity of the Milky Way. This experiment provides data, code, and a full protocol that allows the results to be easily reproduced in a transparent manner. This practice is used to overcome the “reproducibility crisis” in science. Full article
(This article belongs to the Special Issue Global and Local Scale Symmetry in Gravitation and Cosmology)
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16 pages, 644 KiB  
Article
Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
by David Benisty, Eduardo I. Guendelman, Emil Nissimov and Svetlana Pacheva
Symmetry 2020, 12(5), 734; https://doi.org/10.3390/sym12050734 - 5 May 2020
Cited by 16 | Viewed by 3746
Abstract
First, we propose a scale-invariant modified gravity interacting with a neutral scalar inflaton and a Higgs-like S U ( 2 ) × U ( 1 ) iso-doublet scalar field based on the formalism of non-Riemannian (metric-independent) spacetime volume-elements. This model describes, in the [...] Read more.
First, we propose a scale-invariant modified gravity interacting with a neutral scalar inflaton and a Higgs-like S U ( 2 ) × U ( 1 ) iso-doublet scalar field based on the formalism of non-Riemannian (metric-independent) spacetime volume-elements. This model describes, in the physical Einstein frame, a quintessential inflationary scenario driven by the “inflaton” together with the gravity-“inflaton” assisted dynamical spontaneous S U ( 2 ) × U ( 1 ) symmetry breaking in the post-inflationary universe, whereas the S U ( 2 ) × U ( 1 ) symmetry remains intact in the inflationary epoch. Next, we find the explicit representation of the latter quintessential inflationary model with a dynamical Higgs effect as an Eddington-type purely affine gravity. Full article
(This article belongs to the Special Issue Global and Local Scale Symmetry in Gravitation and Cosmology)
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11 pages, 432 KiB  
Article
Cosmological Solutions from a Multi-Measure Model with Inflaton Field
by Denitsa Staicova and Michail Stoilov
Symmetry 2019, 11(11), 1387; https://doi.org/10.3390/sym11111387 - 8 Nov 2019
Cited by 7 | Viewed by 1744
Abstract
In a recent work, we demonstrated that a modified gravity model in which a scalar “darkon” field is coupled to both the standard Riemannian metric and to another non-Riemannian volume form is compatible with observational data from Supernovae Type Ia. Here, we investigate [...] Read more.
In a recent work, we demonstrated that a modified gravity model in which a scalar “darkon” field is coupled to both the standard Riemannian metric and to another non-Riemannian volume form is compatible with observational data from Supernovae Type Ia. Here, we investigate a more complicated model with an additional “inflaton” scalar field. We demonstrate numerically that the model can qualitatively reproduce the Universe inflation epoch, matter dominated epoch, and present accelerating expansion in a seamless way. We show that such solutions occur only when the model parameters are within a very particular range. The main numerical problem we are faced with is reproducing the extremely small time of the inflation epoch. Here, we present how the variation of some parameters affects this time. Full article
(This article belongs to the Special Issue Global and Local Scale Symmetry in Gravitation and Cosmology)
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