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The postulate of universal local Weyl scaling (conformal) symmetry modifies both general relativity and the Higgs scalar field model. The conformal Higgs model (CHM) acquires a cosmological effect that fits observed accelerating Hubble…

General Relativity and Quantum Cosmology · Physics 2022-02-02 R. K. Nesbet

The postulate of universal Weyl conformal symmetry for all elementary physical fields introduces nonclassical gravitational effects in both conformal gravitation(CG) and the conformal Higgs model (CHM). The resulting theory is found to…

General Relativity and Quantum Cosmology · Physics 2023-12-27 R. K. Nesbet

The postulate of universal conformal (local Weyl scaling) symmetry modifies both general relativity and the Higgs scalar field model. The conformal Higgs model (CHM) generates an effective cosmological constant that fits observed…

General Relativity and Quantum Cosmology · Physics 2022-03-21 R. K. Nesbet

It is shown that gravitation naturally emerges from the standard model of particle physics if local scale invariance is imposed in the context of a single conformal (Weyl-symmetric) theory. Gravitation is then conformally-related to the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Meir Shimon

This short review examines recent progress in understanding dark matter, dark energy, and galactic halos using theory that departs minimally from standard particle physics and cosmology. Strict conformal symmetry (local Weyl scaling…

General Physics · Physics 2015-06-11 Robert K. Nesbet

Recent cosmological observations and compatible theory offer an understanding of long-mysterious dark matter and dark energy. The postulate of universal conformal local Weyl scaling symmetry, without dark matter, modifies action integrals…

General Physics · Physics 2021-09-22 R. K. Nesbet

This is the first of three papers on Conformal General Relativity (CGR), which differs from Einstein's General Relativity (GR) in that it requires action--integral invariance under local scale transformations in addition to general…

High Energy Physics - Theory · Physics 2016-08-16 Renato Nobili

Conformal Weyl Gravity (CWG) predicts galactic rotation curves without invoking dark matter. This makes CWG an interesting candidate theory as an alternative to GR. This removal of the necessity of dark matter arises because the exact…

General Relativity and Quantum Cosmology · Physics 2014-04-01 Deandra Cutajar , Kristian Zarb Adami

We show how Conformal Gravity (CG) has to satisfy a fine-tuning condition to describe the rotation curves of disk galaxies without the aid of dark matter. Interpreting CG as a gauge natural theory yields conservation laws and their…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-11 M. C. Campigotto , A. Diaferio , L. Fatibene

We apply the conformal gravity theory to a sample of 111 spiral galaxies whose rotation curve data points extend well beyond the optical disk. With no free parameters other than galactic mass to light ratios, the theory is able to account…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Philip D. Mannheim , James G. O'Brien

It has recently been shown that the observed Hubble function for cosmological expansion can be fitted accurately back to redshift unity (7.33 Gyr ago) with only one free constant, while neglecting cosmic curvature and mass, using the…

General Physics · Physics 2021-05-26 R. K. Nesbet

The Weyl-Weinberg-Salam model is presented. It is based on the local conformal gauge symmetry. The model identifies the Higgs scalar field in SM with the Penrose-Chernikov-Tagirov scalar field of the conformal theory of gravity. Higgs…

High Energy Physics - Theory · Physics 2010-12-13 Marek Pawlowski

Numerous dark matter studies of galactic halo gravitation depend on models with core radius $r_0$ and central density $\rho_0$. Central surface density product $\rho_0 r_0$ is found to be nearly a universal constant for a large range of…

General Physics · Physics 2024-05-20 Robert K. Nesbet

As an alternative gravitational theory to General Relativity (GR), Conformal Gravity (CG) can be verified through astronomical observations. Currently, Mannheim and Kazanas have provided vacuum solutions for cosmological and local…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-27 Li-Xue Yue , Da-Ming Chen

We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant theories of gravity have been based on Weyl's…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Edward Anderson , Julian Barbour , Brendan Foster , Niall O'Murchadha

Newton's gravitational constant $G$ has been measured to high accuracy in a number of independent experiments. For currently unresolved reasons, indicated values from different well-designed and thoroughly analyzed experiments differ by…

General Physics · Physics 2022-09-28 R. K. Nesbet

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a…

High Energy Physics - Theory · Physics 2014-02-26 Itzhak Bars , Paul Steinhardt , Neil Turok

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

High Energy Physics - Theory · Physics 2015-05-27 Philip D. Mannheim

This is the last of three papers on Conformal General Relativity (CGR), which ascribes inflation to a spontaneous breakdown of conformal symmetry, followed by a sudden energy transfer from geometry to matter identified as big bang. This…

High Energy Physics - Theory · Physics 2016-03-29 Renato Nobili

Conformal Gravity (CG) is a Weyl--invariant metric theory whose action is free from divergences for generic asymptotically anti-de Sitter spaces. For Neumann boundary conditions, it reduces to renormalized Einstein--AdS gravity at tree…

High Energy Physics - Theory · Physics 2025-08-18 Giorgos Anastasiou , Martin Bravo , Rodrigo Olea
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