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VAK, vacuum fluctuation and the mass spectrum of high energy particle physics

✍ Scribed by M.S El Naschie

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
720 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

We introduce a fundamental hypothesis identifying quantum vacuum fluctuation with the vague attractor of Kolmogorov, the so-called VAK. This Hamiltonian conterpart of a dissipative attractor is then modelled by e Γ°1Þ , topology as a ''limit set'' of a wild dynamics generated by M€ o obius-like transformation of space. We proceed as follows: First we give an introduction to the e Γ°1Þ quantum spacetime theory from the point of view of nonlinear dynamics, complexity, string and KAM theory. Subsequently we give without proof several theorems and conjectures that we consider to be fundamental to the foundation of any general theory for high energy particles interaction. The final picture seems to be a synthesis between compactified Kleinian groups acting on an essentially nonlinear dynamics of a KAM system which enables us to give a very accurate estimation of the mass spectrum of the standard model and further still we are granted a glimpse into the physics of grand unification as well as quantum gravity. It is concluded that VAK in the infinite dimensions of e Γ°1Þ is a valid model for stable quantum states.

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In the present work we give an introduction to the e ð1Þ Cantorian space-time theory. In this theory every particle can be interpreted as a scaling of another particle. Some particles are a scaling of the proton and are expressed in terms of / and a 0 . Following the VAK suggestion of El Naschie, th