2019/10/14 by Kévin Cahill, Cahill, Kevin
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Physics (physics.gen-ph) #High Energy Physics - Phenomenology (hep-ph)
paper · pdf · doi:10.48550/arxiv.1910.09953
openalex publication_date 2019/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A quantum field theory has finite zero-point energy if the sum over all boson modes b of the nth power of the boson mass mbn equals the sum over all fermion modes f of the nth power of the fermion mass mfn for n= 0, 2, and 4. The zero-point energy of a theory that satisfies these three conditions with otherwise random masses is huge compared to the density of dark energy. But if in addition to satisfying these conditions, the sum of mb4 log mb/μ over all boson modes b equals the sum of mf4 log mf/μ over all fermion modes f, then the zero-point energy of the theory is zero. The value of the mass parameter μ is irrelevant in view of the third condition (n=4). The particles of the standard model do not remotely obey any of these four conditions. But an inclusive theory that describes the particles of the standard model, the particles of dark matter, and all particles that have not yet been detected might satisfy all four conditions if pseudomasses are associated with the mean values in the vacuum of the divergences of the interactions of the inclusive model. Dark energy then would be the finite potential energy of the inclusive theory.