Axil—

Do you know of any examples of a “ complex fractal energy spectrum”.  That 
would help explain what such a spectrum is.

Bob Cook


From: Axil Axil<mailto:janap...@gmail.com>
Sent: Wednesday, August 2, 2017 8:42 AM
To: vortex-l<mailto:vortex-l@eskimo.com>
Subject: [Vo]:Discontinuous fractal based specific heat spectrum of SPP


http://physicsworld.com/cws/article/news/2017/aug/01/could-extra-dimensions-be-detected-by-a-bose-einstein-condensate



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?

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