Decoupling the Vacuum via Non-Zero k

Contemporary quantum field theory calculations of the vacuum energy density result in a well-known divergence problem, often referred to as the Vacuum Catastrophe. This paper presents an alternative theoretical research model to explore how specific geometric configurations might address this challenge. By constraining the baseline coordinate system to a permanently rigid Minkowski metric, we evaluate a framework for metric decoupling where geometry is structurally isolated from quantum variations. Within this rigid arena, we introduce a constant, non-zero spatial parameter (k) acting as an intrinsic background boundary condition satisfying a fundamental Helmholtz eigenfunction relation. The mathematical execution of the modified vacuum energy density integral indicates that high-frequency modes undergo natural destructive phase interference. This configuration suggests a potential method for the natural regulation and convergence of vacuum energy calculations without requiring modifications to standard particle physics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21012970
Primary Topic
Quantum Electrodynamics and Casimir Effect
Type
preprint
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preprint

Decoupling the Vacuum via Non-Zero k

Ken E. Swearingen
Zenodo (CERN European Organization for Nuclear Research)
Quantum Electrodynamics and Casimir Effect
preprint

Decoupling the Vacuum via Non-Zero k

Ken E. Swearingen
preprint en

Abstract

Contemporary quantum field theory calculations of the vacuum energy density result in a well-known divergence problem, often referred to as the Vacuum Catastrophe. This paper presents an alternative theoretical research model to explore how specific geometric configurations might address this challenge. By constraining the baseline coordinate system to a permanently rigid Minkowski metric, we evaluate a framework for metric decoupling where geometry is structurally isolated from quantum variations. Within this rigid arena, we introduce a constant, non-zero spatial parameter (k) acting as an intrinsic background boundary condition satisfying a fundamental Helmholtz eigenfunction relation. The mathematical execution of the modified vacuum energy density integral indicates that high-frequency modes undergo natural destructive phase interference. This configuration suggests a potential method for the natural regulation and convergence of vacuum energy calculations without requiring modifications to standard particle physics.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Quantum Electrodynamics and Casimir Effect
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