The cosmological constant, dark matter, supersymmetry, and other unsolved problems from a fresh perspective

TL;DR

This paper proposes a new fundamental theory combining higher dimensions, supersymmetry, and topological structures, offering explanations for dark matter, scalar bosons, and unification issues, with testable predictions for future experiments.

Contribution

It introduces a novel framework based on vortex configurations and multiverse concepts that unifies cosmology and particle physics, predicting a new dark matter WIMP and reinterpretation of scalar sectors.

Findings

Predicts a detectable dark matter WIMP within 15 years.

Suggests potential detection of dark matter signals in existing gamma-ray and antiproton data.

Provides a new phenomenology for sfermions with reduced cross-sections.

Abstract

Quantum theory, general relativity, the standard model of particle physics, and the $\Lambda$CDM model of cosmology have all been spectacularly successful within their respective regimes of applicability, but each of these descriptions also has clear limitations. Here we propose a fundamental theory which (like string theory) is based on higher dimensions (with an internal space), a form of supersymmetry, important topological structures, and the implication of a multiverse. Our universe is the product of two vortex-like (or instanton-like) field configurations -- one in 4-dimensional external spacetime, with the big bang at its origin, and the other in a 10-dimensional internal space, which automatically yields an $SO(10)$ grand-unified gauge theory. Lorentz invariance requires a breaking of the initial primitive supersymmetry, as the initial (unphysical) bosonic fields are modified and combined to from physical fields. There is then a new interpretation of all scalar boson sectors -- including but extending the Higgs and sfermion sectors. This last feature predicts a novel dark matter WIMP with no (nongravitational) interactions except second-order gauge couplings to $W$ and $Z$ bosons. Calculations and estimates of the relevant cross-sections for this particle demonstrate that (1)~it may be detectable within the next few years in Xe-based direct-detection experiments, (2)~it may be observable within about 15 years at the high-luminosity LHC, and (3)~it may already have been detected in the gamma rays observed by Fermi-LAT and antiprotons observed by AMS-02. The reinterpretation of scalar boson fields also implies a new phenomenology for sfermions, with reduced cross-sections. There is then a unified picture which may explain why dark matter WIMPs and electroweak-scale sparticles have not yet been detected.