Abstract
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 the observed accelerating Hubble expansion for redshifts z≤1 (7.33 Gyr) accurately with only one free constant parameter. Conformal gravity (CG) has recently been fitted to anomalous rotation data for 138 galaxies. Conformal theory explains dark energy and does not require dark matter, providing a viable alternative to the standard ΛCDM paradigm. The theory precludes a massive Higgs particle but validates a composite gauge field W2 with mass 125 GeV.
Highlights
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Omitting Ωm completely, with k = 0, the conformal sum rule ΩΛ (t) + Ωq (t) = 1 fits the observed data accurately for redshifts z ≤ 1 (7.33 Gyr) [14,15,17]. This eliminates any need for dark matter to explain Hubble expansion
Conformal gravity (CG) and conformal Higgs model (CHM) must be consistent for an isolated galaxy and its dark halo, observed by gravitational lensing
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. With no novel elementary fields, this extends conformal symmetry, valid for fermion and gauge boson fields [6], to both the metric tensor field of general relativity and the Higgs scalar field of elementary-particle theory [7,8]. This postulate implies conformal gravity CG [3,9,10,11,12,13] and the conformal Higgs model. The CHM determines model parameters that retain the Higgs mechanism but preclude a massive Higgs particle, replacing mass by implied dark energy in agreement with observed Hubble expansion [14,15], while validating a novel composite gauge field W2 of mass 125 GeV [18].
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