English

Zero-point energies, dark matter, and dark energy

General Physics 2019-11-13 v2 High Energy Physics - Phenomenology

Abstract

A quantum field theory has finite zero-point energy if the sum over all boson modes bb of the nnth power of the boson mass mbn m_b^n equals the sum over all fermion modes ff of the nnth power of the fermion mass mfn m_f^n for n=0n= 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 mb4logmb/μm_b^4 \log m_b/\mu over all boson modes bb equals the sum of mf4logmf/μ m_f^4 \log m_f/\mu over all fermion modes ff, then the zero-point energy of the theory is zero. The value of the mass parameter μ\mu is irrelevant in view of the third condition (n=4n=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.

Keywords

Cite

@article{arxiv.1910.09953,
  title  = {Zero-point energies, dark matter, and dark energy},
  author = {Kevin Cahill},
  journal= {arXiv preprint arXiv:1910.09953},
  year   = {2019}
}

Comments

12 pages, 5 figures, easy to read,