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Feature Paper
Article

11 Citations

3,198 Views

17 Pages

Action Principle for Scale Invariance and Applications (Part I)

Andre Maeder and
Vesselin G. Gueorguiev

Symmetry2023, 15(11), 1966;https://doi.org/10.3390/sym15111966

24 October 2023

On the basis of a general action principle, we revisit the scale invariant field equation using the cotensor relations by Dirac (1973). This action principle also leads to an expression for the scale factor $λ$ , which corresponds to the one deri...

(This article belongs to the Special Issue Nature and Origin of Dark Matter and Dark Energy)

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Review

7 Citations

2,677 Views

12 Pages

The Scale Invariant Vacuum Paradigm: Main Results and Current Progress

Vesselin G. Gueorguiev and
Andre Maeder

Universe2022, 8(4), 213;https://doi.org/10.3390/universe8040213

27 March 2022

We present a summary of the main results within the Scale Invariant Vacuum (SIV) paradigm as related to the Weyl Integrable Geometry (WIG) as an extension to the standard Einstein General Relativity (EGR). After a brief review of the mathematical fra...

(This article belongs to the Special Issue Alternative Gravities and Fundamental Cosmology)

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Review

10 Citations

3,202 Views

27 Pages

The Scale-Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)

Vesselin G. Gueorguiev and
Andre Maeder

Symmetry2024, 16(6), 657;https://doi.org/10.3390/sym16060657

26 May 2024

This is a summary of the main results within the Scale-Invariant Vacuum (SIV) paradigm based on Weyl integrable geometry. We also review the mathematical framework and utilize alternative derivations of the key equations based on the reparametrizatio...

(This article belongs to the Special Issue Nature and Origin of Dark Matter and Dark Energy, 2nd Edition)

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