The Quantum Triple-Slit Experiment and Dark Energy

The experimental discovery of looped light in a three-slit experiment is interpreted as a strong justification of the Peano-Hilbert spacetime model. This in turn entails the existence of a dark energy density in full agreement with previous analysis as well as accurate measurements and observations.


Introduction
A very recent experimental finding [1] [2] [3] apparently reveals for the first time clear cut evidence for a looped travelling path of light [1].In the present work we argue that this is not a rare event but is what the quantum fine structure of spacetime itself imposes on the movement of light's photons.Consequently the said experiment is interpreted as confirmation of the Cantorian fractal proposal [4] [5] which is based upon the Peano-Hilbert spacetime model presented in the eighties of the last century [6] [7] [8].It is argued further that once the fractal Peano-Hilbert model of spacetime is accepted as a fact, the physical reality of dark energy and its 95.5 percent density follows suit [9] [10].

Findings of the Triple-Slit Experiment
recent experimental finding of Ref. [1].Rather than repeating the mathematical analysis of this paper we think nothing can be simpler and far more convenient for the reader than comparing Figure 1 of Ref. [2] with Figure 2 of our earlier publication, Ref. [8].However we must stress that the looping of light is not a rare event but rather the very structure of spacetime at the quantum scale.In other words the experiment in Ref. [1] merely used various techniques by which the micro structure was blown up to the more pronounced picture shown in the results of Ref. [1].In this way we could state with a high degree of confidence that the triple-slit experiment of Ref. [1] has established the fractal structure of spacetime as a physical reality and not only a theoretical possibility.
The author remembers vividly how Nobel Laureate Ilya Prigogine [11] used to say to him that he liked his model but did not know if spacetime is fractal or not.For this reason many experiments were planned and discussed theoretically but were not carried out.Thus the findings of Ref. [1] at long last achieved what we were trying for years to achieve, namely establish the fractal structure of quantum spacetime [12].

The Crucial Point of Topological Mass
There are many ways to argue that the Kaluza-Klein spacetime dimensionality 5 D = when extended to a fractal one represents the quantum particlelike topological mass [13] [15].Seen that way it becomes a truly easy task to find that the energy density is made up of two parts.The first is that proportional to 1 5 D = and is given by [15]   ( ) ( ) where c φ = is the topological speed of light [9] [10] [13] [14] [15] [16].In other words 1 γ , is nothing but the dark energy density of pure topological spacetime ( )  ( ) ( ) γ is nothing but the ordinary energy density of the quantum particle Here the extra dimension could be regarded as embedding

Discussion
Even a fleeting look at the results of the recent triple-slit experiment looped path of the light reveals its resemblance to the Peano-Hilbert spacetime model proposed decades ago implicitly by G. Ord [7] and explicitly by the present author [4] [5] [6].A deeper subsequent look reveals even much more and one realizes that the looped path is far from being exotic.In fact it is generic and all that the experimental set up of the said experiment managed to do is amplify the fractal structure of spacetime to the extent of almost direct observation.
Having established this crucial point we go on to discriminate between two parts that make up our Here 1 5 D = is related to dark energy via the Einstein equation 2

E mc =
and is given by [13] On the other hand ( )

Conclusions
Recent triple-set experiments revealed beyond any doubt that light may traverse the set up in unexpected looped form.These loops, which are reminiscent of the Peano-Hilbert model of spacetime are interpreted here as being the signature of the very structure of real quantum spacetime brought to the fore.It is found that a quantum spacetime dimension consistent with this picture and Cantorian quantum gravity is a fractal Kaluza-Klein dimension  ) ( ) where φ is the Sigalotti topological speed of light.This Einstein maximal energy can thus be considered to consist of two parts.The first part It is appropriate in view of the above to conclude this conclusion with some remarkable insights of a scientist with a considerable intuitive mind that was always ahead of his mathematics.I mean of course one of my teachers and mentors who is alas no longer with us, the late Nobel Laureate Ilya Prigogine who wrote round 1987 [11]: "Probably the most fascinating aspect involved in the transition from dynamics to thermodynamics is the deep change in the structure of spacetime".
It seems that Prigogine's insight also applies to the transition from classical to quantum spacetime.

1 γ 4 D 4 D = should also be 4 D
and 2 γ one finds the maximal density ( )max 1 γ= which is expected on the basis of Einstein's well known maximal energy[13] [14][15] [16] = is not sufficient because every point in = although being a point means 0 D = is a subject which we discussed at length and resolved by setting[9] [10] hand unification of Einstein's gravity with electromagnetism requires that 5 D =[15].Consequently we say that[9] [10] for the volume, similar to what we do in high energy physics when counting particles and matching them to the number of isometries corresponding to say a Lie symmetry group manifold[9] [10].

(
dark energy of the cosmos while the second part ordinary energy density which accounts to only 4.5 percent of the total energy.