‘tHooft’s Renormalon: Experimental and Number Theoretical Arguments for Physical Existence

Select Volume / Issue:

• Volume 5,Issue 6,Nov.,2017

Year:

2017

Type of Publication:

Article

Keywords:

Hardys quantum entanglement, Gross heterotic superstrings theory, tHoofts renormalon, Entangleon, Cantorian spacetime, E-infinity, Dark energy, Dark matter, Einstein maximal energy density, Special relativity, Zero set quantum particle, Empty set quantum

Authors:

Mohamed S. ElNaschie

Journal:

IJISM

Volume:

5

Number:

6

Pages:

205-210

Month:

November

ISSN:

2347-9051

Abstract:

‘tHooft’s renormalon, similar to instanton, is regarded by G. ‘tHooft as a genuine singularity in the corresponding mathematical theory. However unlike instanton there is no mathematical proof for the existence of renormalon, nor is it taken to be definite real physics as distinct from a valuable mathematical object produced by the mathematical formulation of the theory. By contrast the present work will argue for the physical reality of the renormalon and proposes that this reality is strongly anchored in experimental evidence as well as number theoretical reasoning connected to Hardy’s quantum entanglement as well as the theories of cosmic dark matter and dark energy. The final conclusion is that renormalons, as discovered thanks to the pioneering work in quantum field theory by D. Gross, A. Neven, B. Lautrup and particularly the enduring efforts of G. ‘tHooft are not mathematical artefacts connected to summing diverging series of a perturbative solution, but rather a profound physics at the very deep roots of pre-quantum state where the traditional demarcation between physics and mathematics disappears or at a minimum is blurred as is the case in E-infinity Cantorian spacetime theory

Full text: IJISM_706_FINAL.pdf [Bibtex]