The following link has no figures and

1707.07757 [gr-qc]<>

Are you sure it is the document you say has the figure with the fractal energy 

Bob Cook

From: Axil Axil<>
Sent: Wednesday, August 2, 2017 5:36 PM
To: vortex-l<>
Subject: Re: [Vo]:Discontinuous fractal based specific heat spectrum of SPP

Figure 1 in arXiv:1707.07757 [gr-qc]<> shows 
what a fractal energy spectrum would look like.

On page 367 and 368 it is explained, as energy is added to the system, that 
additional energy goes into filling the 11 energy levels from low orfer to 
higher order. For example, e1 to e2 then on the next level e4 to e4 then on the 
next level e5 to e6 and so on.

When a given energy level is completely filled, there is a discontinuous jump 
in specific heat to the next energy level which makes more room for more energy 
storage space.

As more energy is loaded into the SPP BEC, more energy storage space is created 
to accommodate that added energy. The specific heat of the BEC increases as 
energy  is added but with quantum like discontinuities up through 11 levels. 
These 11 levels correspond to the 11 dimensions required by string theory.

According to the Mexican paper,<>

this energy filing mechanism represents how the hidden dimensions of string 
theory are utilized to handle the increasing amplitude of a particle's wave 
function as additional energy is added to that wave function.

When the energy of the wave function of the particle increases, the fundamental 
forces begin to converge as per grand unification.

In terms of LENR, the SPP BEC and a high energy particle both with increasing 
energy have the same Grand unification functionality as energy is added to each 

On Wed, Aug 2, 2017 at 8:08 PM,<> 
<<>> wrote:

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<>
Sent: Wednesday, August 2, 2017 8:42 AM
To: vortex-l<>
Subject: [Vo]:Discontinuous fractal based specific heat spectrum of SPP

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]<>

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 

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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