Abstract
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 the observed accelerating Hubble expansion for redshifts z≤1 (7.33 Gyr) accurately with only one free parameter. Growth of a galaxy is modeled by the central accumulation of matter from an enclosing empty spherical halo whose radius expands with depletion. Details of this process account for the nonclassical, radial centripetal acceleration observed at excessive orbital velocities in galactic haloes. There is no need for dark matter.
Highlights
Universal conformal symmetry, requiring local Weyl scaling covariance [1–4] of all elementary physical fields [5], offers a paradigm alternative to consensus ΛCDM for cosmology, motivated by the absence of experimental confirmation of conjectured dark matter and need for an explanation of currently accelerating Hubble expansion
Substantial empirical support for this proposed break with convention is provided by applications of Conformal gravity (CG) to anomalous galactic rotation velocities
CG has recently been fitted to rotation data for 138 galaxies [15–19]
Summary
Universal conformal symmetry, requiring local Weyl scaling covariance [1–4] of all elementary physical fields [5], offers a paradigm alternative to consensus ΛCDM for cosmology, motivated by the absence of experimental confirmation of conjectured dark matter and need for an explanation of currently accelerating Hubble expansion. The conformal Higgs model (CHM) [6–9] retains the Higgs mechanism for gauge boson mass, but acquires a gravitational term in the scalar field Lagrangian density. CG has recently been fitted to rotation data for 138 galaxies [15–19]. The CHM precludes the existence of a massive Higgs particle, but conformal theory is found to be compatible with a compound gauge diboson, W2, of mass 125 GeV [20], consistent with the observed LHC resonance [21,22]. Fits of CG and the CHM to observed galactic and cosmological data do not require dark matter [9]
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