Abstract

The present paper utilizes the similarity between the non-perturbative Julian Schwinger-Efimov-Fredkin approach and that of E-infinity Cantorian spacetime theory to give an exact solution to the problem of cosmic dark energy via a golden mean scaling-super quantization of the electromagnetic field.

Highlights

  • As is well known, there are many situations in which summing over all Feynman graphs is a daunting task but an impossibility [1]-[6]

  • E-infinity theory which resorts to summing over infinite hierarchal golden mean weighted dimensions [2] [3] [4] [7] [8] [9] [10]. It is the aim of the present work motivated by the Schwinger-Fredkin and E-infinity methodology [1]-[10] to see how the afore mentioned methods can be used to drive the ordinary cosmic energy as well as the dark energy density of our universe [10] [11]

  • Noting that 1 φ is equal to the expectation average value corresponding to the D = 2 quantum path Hausdorff dimension, we could investigate the various limits of physical meaning for αo in the light of the remarkable P-Adic expansion [12] [14]

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Summary

Dark Energy and Important Limits for the αo Equation

The exact transfinite values of the three different energy densities can be found when taking on board an important ordinary energy density-pure dark matter energy duality noticed for the first time by Prof. The duality discovery by Otto states that the ordinary energy density is equal to the inverse of the dark matter energy percentage. In the above form it is clear that the ordinary energy density must be the ratio of the 6 + k to the 137 + ko super quantized QED value of αo. This means [1] [2] [3] [4]. In full agreement with our previous calculations based on entirely different models and theories [15] [16] [17] [18] [19]

Why Is the Mathematics of E-Infinity So Effective?
Conclusion
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