Quantum Gravity and String Theory

   

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.

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Submission history

[v1] 2019-08-25 17:00:21
[v2] 2019-09-01 13:09:23

Unique-IP document downloads: 20 times

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