The paper referenced in this article could be drawing another duel between
string theory and condensed matter physics.
String theory phenomenology and quantum many–body systems
Sergio Gutiérrez, Abel Camacho, Héctor Hernández
arXiv:1707.07757 [gr-qc] <https://arxiv.org/abs/1707.07757>
In the paper, the authors calculate how additional space-like dimensions
affect a condensate of ultracold atoms, known as Bose-Einstein-Condensate.
At such low temperatures, the atoms transition to a state where their
quantum wave-function acts as one and the system begins to display quantum
effects, such as interference, throughout.
In the presence of extra-dimensions, every particle’s wave-function has
higher harmonics because the extra-dimensions have to close up, in the
simplest case like circles. The particle’s wave-functions have to fit into
the extra dimensions, meaning their wave-length must be an integer fraction
of the radius.
It seems to me that all the conditions required to show the hidden
dimensions expected by string theory are meet in condensed matter physics
using the bosonic quasiparticle called the Surface Plasmon Polariton (SPP).
This boson can form non-equilibrium Bose-Einstein condensates at room
temperature and beyond.
In “Oscillatory behavior of the specific heat at low temperature in
quasiperiodic structures” E.L. Albuquerquea;*∗*, C.G. Bezerraa, P.W.
Maurizb, M.S. Vasconcelos, a structure featuring 11 level discontinuity in
specific heat as predicted by the Mexican paper is shown to exist.
The behavior of a variety of particles or quasi-particles (electrons,
phonons, photons, polaritons, magnons, etc.) has been and is currently
being studied in quasi-periodic systems. A fascinating feature of these
quasi-periodic structures is that they exhibit collective properties not
shared by their constituent parts.
Furthermore, the long-range correlations induced by the construction of
these systems are expected to be reflected to some degree in their various
spectra, designing a novel description of disorder. A common factor shared
by all these excitations is a complex fractal energy spectrum.
Could this discontinuous fractal based specific heat spectrum of SPPs be
exposing the higher dimensions of reality as predicted by the Mexicans?