Figure 1 in arXiv:1707.07757 [gr-qc] <https://arxiv.org/abs/1707.07757> 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, arquivos.info.ufrn.br/arquivos/2009125149a1081961856e8a74678fd2/PhysicaA04.pdf 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 system. On Wed, Aug 2, 2017 at 8:08 PM, bobcook39...@hotmail.com < bobcook39...@hotmail.com> wrote: > 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 <janap...@gmail.com> > *Sent: *Wednesday, August 2, 2017 8:42 AM > *To: *vortex-l <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? > > >
