Mechanism for Resolving Gauge Hierarchy and Large Vacuum Energy

TL;DR

This paper introduces 'supplemental solutions' in quantum field theory, which naturally lead to zero vacuum energy and may resolve the gauge hierarchy and cosmological constant problems without altering fundamental mathematics.

Contribution

It proposes a new class of solutions called 'supplemental solutions' that address key problems in high energy physics within existing quantum field theory frameworks.

Findings

Zero-point energy naturally cancels to zero.

Potential mechanism for Higgs condensate energy cancellation.

Addresses gauge hierarchy and cosmological constant problems.

Abstract

Alternative forms of the solutions to the quantum field equations and their implications for physical theory are considered. Incorporation of these alternative solution forms, herein deemed "supplemental solutions", into the development of quantum field theory leads to a unique class of particle states, which may provide simple resolutions of more than one extant problem in high energy physics. The symmetry between the traditional and supplemental solutions results in a direct and natural zero-point energy value of zero, and, as well, a possible mechanism for cancelling the Higgs condensate energy, thereby providing a potential resolution of the large cosmological constant problem. Further, this symmetry may also resolve the Higgs gauge hierarchy problem. Resolutions of seeming theoretic impediments to supplemental fields, in particular, non-positive definite Fock space metric and vacuum decay, are presented, and concomitant implications for unitarity are considered. As supplemental solutions are already inherent in quantum field theory, little change is required to the fundamental mathematics of the theory.