Reference paper cited, Fate of the false vacuum in string-inspired nonlocal field theory,
https://arxiv.org/abs/2203.04438, 08-March-2022.
"In this article, we study Coleman bounce in weakly nonlocal theories which are motivated from string field theory. The kinetic term is extended via an infinite series of high-order derivatives, which comes into play at an energy scale M, without introducing any new states or ghosts in the mass spectrum. We calculate the bubble nucleation in thin-wall approximation, treating the system in semi-classical manner. We find that the effect of nonlocal scale M in the theory is to suppress the vacuum tunneling rate from false to true vacuum compared to the standard local bouncing scenario. Likewise, we show that as we move further away from the bubble wall, the effects of nonlocality gets reduced and this suppression is significant only around the wall of the nucleated bubble. From our investigations, we conclude that the main effect is due to the fact that the nonlocality smears the solution of the local bubble profile. However, the energy of the bubble wall remains unaffected by the microscopic nonlocal behavior of the theory in the thin-wall approximation. We also discuss the cases for Lee-Wick theories and applications of our result to cosmology."
My note. The 22-page PDF cited has 3 references to Planck. "1 In local QFT, renormalization leads to ultraviolet (UV) divergences, which in the Standard Model (SM) of particle physics, a similar issue infamously known as the hierarchy problem where the Electroweak (EW) scale or the Higgs mass and Planck scale (Mpl) are separated by 18 orders-of-magnitude apart leading to huge fine-tuning in the SM [36] which for example needs several new particles at the or near the EW scale, like in supersymmetry (SUSY) etc. but no new physics results from the Large Hadron Collider (LHC) has been obtained, so alternative solutions are actively being pursued."
My note, here is another reference to Planck indicating the new physics is working below the Planck scale. "2 Short review: String-inspired nonlocal scalar field theory Typically, the action for the string-inspired nonlocal theory given by [33, 97]:.., m is the mass of the scalar particle, and M is the energy scale of the nonlocality which is usually taken to be below the Planck scale."
This does not surprise me. In December 2013, Alan Guth published a report on inflation where the scale for the universe maps 10^-53 m to 1 m size today using inflation, so sub-Planck scale universe described now to explain the origin of the universe we see today. I note what the 22-page paper reported, "are separated by 18 orders-of-magnitude apart leading to huge fine-tuning in the SM". More fine-tuning problems appear apparently to explain the origin of the universe along with new physics operating below the Planck scale and a postulated instantaneous action-at-a distance force working in nature during the early universe moments.
This is cool physics and something for me to chew on and ponder when it comes to how science explains the origin of the universe, I observe using my telescopes from my backyard
