## On the Smallest Volume Scale and Dark Energy

**Authors:** Paolo Bolzoni

In this new study we want to propose an updated heuristic model to compute and to
interpret the dark energy content of our
universe.
To this purpose we include
the mass-energy of the static gravitational field in Newtonian gravity, finding agreement with general relativity at large scales. We then
compute its effect at very small
distances also including quantum effects. From this analysis, we obtain an estimation of the smallest volume
in empty space.
Our result is compatible with loop quantum gravity and
this enables the embedding in it.
After that we show, how this can be used to compute a
natural energy cutoff $k_c$ for all quantum fields and
study its utility in computing the dark energy density and its
implications on the content of fermionic
and bosonic elementary fields. Indeed for the vacuum equation of
state $w\,{=}\,p_{vac}/\rho_{vac}$ we obtain
an expression depending on
$\Delta N\,{=}\, N_f - N_b$, which represents the difference between the number of
species of fermions and bosons.
Finally comparing our
result with the measured value of $w$,
we discuss general constraints on the field content
beyond the Standard Model of the elementary particles.

**Comments:** 10 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-08-25 17:00:21

[v2] 2019-09-01 13:09:23

**Unique-IP document downloads:** 31 times

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