El Naschie’s cantorian strings and duality in Weyl–Dirac theory

✍ Scribed by M. Agop; P.D. Ioannou; P. Nica

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 847 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00274-1

✦ Synopsis

In the weak-field approximation, some implications of duality in the Weyl-Dirac (WD) theory, using the Gregorash-Papini-Wood approach, are investigated. Any particle is in a permanent interaction with the Ôsubquantic levelÕ (MadelungÕs fluid) and, as a result of this interaction, the particle acquires the proper fluctuation curvature and the proper fluctuation energy, respectively. By fixing the fluctuations scale, the quantum fluid orders either by means of bright cnoidal oscillation modes inducing causality, or by means of dark cnoidal oscillation modes inducing acausality, and non-linear effects, respectively. The periodic mode is associated with the undulatory characteristic, and the solitonic one with the corpuscular one. By not fixing the fluctuations scale and keeping the symmetry, the quantum fluid orders like a two-dimensional (2D) lattice of vortices, so that the duality needs coherence. In the compatibility between quantum hydrodynamics in the MadelungÕs representation and the wave mechanics, the self-gravitational field of the Weyl-Dirac type physical object is generated. El NaschieÕs space-time implies, by means of transfinite heterotic string theory, the masses of nucleons, and, by the gravitational fractional quantum Hall effect, the dispersion of the wavepacket on the particle. The analysis of the fractal dimension of the physical object described by the WD theory shows that the waves, and corpuscle, respectively are 2D projections of a higher dimensional special string in El NaschieÕs space-time (El NaschieÕs string).