Saturday, March 14, 2009

It's all about (1 + sqrt 5)/2

Various mathematicians and physicists have given criteria for being a crackpot, quack, or incompetent practitioner.

I'd like to propose a criterion: An unwarranted preoccupation with (1 + sqrt 5)/2 and its reciprocal.

An outline for a quantum golden field theory
El Naschie, M.S. , Chaos, Solitons and Fractals, 37 (2), p.317-323, Jul 2008
Conventional quantum field theory may be advantageously reformulated in terms of a golden mean based number system. The present short paper is devoted to outlining such a quantum golden field theory.

Removing spurious non-linearity in the structure of micro-spacetime and quantum field renormalization
El Naschie, M.S. , Chaos, Solitons and Fractals, 37 (1), p.60-64, Jul 2008
In quantum golden field theory the standard renormalization equation can be made exact and much simpler within the framework of E-Infinity theory. In the present paper we trace back the origin of this remarkable fact. It is found that...

Quantum golden field theory - Ten theorems and various conjectures
El Naschie, M.S. , Chaos, Solitons and Fractals, 36 (5), p.1121-1125, Jun 2008
Ten theorems and few conjectures related to quantum field theory as applied to high energy physics are presented. The work connects classical quantum field theory with the golden mean renormalization groups of non-linear dynamics and...

Asymptotic freedom and unification in a golden quantum field theory
El Naschie, M.S. , Chaos, Solitons and Fractals, 36 (3), p.521-525, May 2008
By harmonizing the perturbation equations of renormalization, we find a set of exact and simple equations for determining the coupling constant of super symmetric unification. Using this exact equation, we demonstrate exact quarks...

Hilbert space, Poincare dodecahedron and golden mean transfiniteness
El Naschie, M.S. , Chaos, Solitons and Fractals, 31 (4), p.787-793, Feb 2007
A rather direct connection between Hilbert space and E-infinity theory is established via an irrational-transfinite golden mean topological probability. Subsequently the ramifications for Kleinian modular spaces and the cosmological...

Renormalization semi-groups and the dimension of cantorian space-time
El Naschie, M.S. , Chaos, Solitons and Fractals, 4 (7), p.1141-1145, Jul 1994
A renormalization ''group'' method is used to derive the Hausdorff dimension for a critical Cantorian space. The result reinforces previous ones regarding the fundamental role played by the Golden Mean dimension, Cantor triadic set and the...

Is quantum space a random cantor set with a golden mean dimension at the core?
El Naschie, M.S. , Chaos, Solitons and Fractals, 4 (2), p.177-179, Feb 1994
Chaos, Sohrons & Fractals Vol. 4, No. 2, pp. 177-179, 1994 Elsevier Science Ltd PCrgarilon Printed in Great Britain. All rights reserved - 0960-0779/94$6.00 + .00 0960-0779(93)E0013-2 Is Quantum Space a Random Cantor Set with a Golden Mean Dimension at ...

KAM orbits and dimensional criticality
El Naschie, M.S. , Chaos, Solitons and Fractals, 3 (5), p.583-586, Sep 1993
A theorem is presented connecting golden KAM orbits and the mean Hausdorff dimension of a backbone Cantor set at the point of dimensional criticality.
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