Field theory vacuum and entropic dark energy models
arXiv:2507.22093 · doi:10.3390/universe12050143
Abstract
While in the standard quantization the energy spectrum of oscillator does not depend on its mass - for Planck length deformed quantization the energy spectrum becomes mass dependent. That means that the field oscillator masses will source a gravitational field through the Nullpunktsenergie as long as we follow this scheme of quantization. Admitting these masses are tangible, their gravitational effect will manifest itself even within the framework of standard field theory. We shall consider the possible gravitational implications based on this approach. If the mass scale for field oscillators is set by the inverse size of the box containing the field and three-momentum cutoff dictated by the black hole energy bound is exploited, one finds that the number of Fourier modes saturates the black hole entropy bound. Following certain "holographic" reasoning, one can derive various kinds of dark energy models that maybe interesting for further study.
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