Cosmological implications of conformal field theory

TL;DR

This paper explores how conformal field theory applied to elementary particles and gravity can explain cosmic evolution, matching observations without needing dark matter.

Contribution

It extends conformal symmetry to the Higgs field, deriving a modified Friedmann equation consistent with empirical data and eliminating the need for dark matter.

Findings

Modified Friedmann equation fits supernova and CMB data

Parameters align with observations up to redshift z=1090

Theory removes the necessity of dark matter in cosmology

Abstract

Requiring all massless elementary fields to have conformal scaling symmetry removes a conflict between gravitational theory and the quantum theory of elementary particles and fields. Extending this postulate to the scalar field of the Higgs model, dynamical breaking of both gauge and conformal symmetries determines parameters for the interacting fields. In uniform isotropic geometry a modified Friedmann cosmic evolution equation is derived with nonvanishing cosmological constant. Parameters determined by numerical solution are consistent with empirical data for redshifts $z\leq z_*=1090$, including luminosity distances for observed type Ia supernovae and peak structure ratios in the cosmic microwave background (CMB). The theory does not require dark matter.