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A Solution to the Hierarchy Problem with Non-Linear Quantum Mechanics

2025/10/14 by David E. Kaplan, Kaplan, David E., Surjeet Rajendran +1 · 1 citation
Computer Science · #Advanced Computational Techniques and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2510.12030

openalex publication_date 2025/10/14 · openalex created_date 2025/10/17 · openalex updated_date 2026/07/28

Abstract

We argue that the hierarchy problem of the standard model of particle physics can be solved by adding a state-dependent term to the Higgs sector. We present an example of a scalar field with a Higgs-like potential with an additional term proportional to the expectation value of the squared Higgs field operator. We show that the mass can be parametrically lighter than the theory's energy-momentum cutoff without fine tuning. We find the Higgs mass can be technically natural, even with a Planck-scale cutoff. The simplest version of the theory may not be distinguishable from the standard model at colliders, but other versions might. In addition, some aspects of cosmological evolution can be different in this model, in some cases radically.

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