Classical analytical continuation, El Naschie's complex time, Wick's rotation of quantum field theory and Hawking's imaginary time are closely related tools and concepts.
Quantum Physics and Fractal Space Time
β Scribed by David Maker
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 319 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
β¦ Synopsis
We argue for a new fractal space!time which is di}erent from that of Nottale\ Ord and El Naschie[ The fractal here is a deterministic fractal\ where a fractal seed on an M¦0 th scale\ let us say\ is about 09 39 times the diameter of the fractal seed on the M th fractal scale[ At each scale\ the fractal seed is the most fundamental particle on that scale and is the single Z 99 source in the Einstein equations\ all other particles with mass are either excited states or multibody states of this particle[ We take the M th fractal scale to be the electron and the M¦0 th scale to be the Hubble universe[ Next\ we use the selfsimilarity between these two objects to solve for the metric\ comoving with the Hubble expansion of the M¦0 scale "The Dirac equation can be derived here also#[ Plug these metric elements back into the metric equation "which then also derives a 0:"0-r# potential# and then back into the Dirac equation[ You then get tauon\ muon\ electron masses and QED results\ but with only one vertex[ The S matrix for this Dirac equation gives the W and Z masses as resonance energies[ Applying the M¦1 perturbation in the same way as the M¦0 perturbation\ gives the three neutrino masses[ Combining the M¦0 th and M¦1 solution into the zero energy vacuum\ gives the beta decay left\ handedness and SU"1#XU"0# gauge[ Applying this theory within the r³0 region\ gives the quarks and QCD assymptotic freedom is implied by the 0:"0-r# potential[ We do a radial coordinate transformation of the Z ab source to the expanding cosmological metric and get a new term added to Z 99 [ From this new term\ we calculate the value of the Newtonian gravitational constant[ à 0888 Elsevier Science Ltd[ All rights reserved[
π SIMILAR VOLUMES
The present note suggests a possible conceptual resolution to the problem of irreversibility which is discussed in the context of quantum field theory, conjugate complex time and the theory of transfinite Cantorian spaces.