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A review of $$E$$ infinity theory and the mass spectrum of high energy particle physics. (English) Zbl 1071.81501
Summary: The essay outlines the basic conceptual framework of a new space-time theory with application to high energy particle physics. Both achievements and limitations are discussed with direct reference to the mass spectrum problem.

##### MSC:
 81P05 General and philosophical questions in quantum theory 81V99 Applications of quantum theory to specific physical systems
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##### References:
 [1] El Naschie, M.S., Superstrings, knots and non-commutative geometry in E-infinity space, Int. J. theoret. phys., 37, 12, (1998) · Zbl 0935.58005 [2] El Naschie, M.S., The VAK of vacuum fluctuation, spontaneous self-organisation and complexity theory interpretation of high energy particle physics and the mass spectrum, Chaos, solitons & fractals, (2003) · Zbl 1056.81045 [3] Ord, G.N.; Mann, R.B., Entwined paths, difference equations and the Dirac equation, Phys. rev. A, 67, 0121XX3, (2003) [4] Datta, D.P., The Golden Mean, scale free extension of real number systems, fuzzy sets and l/f spectrum in physics and biology, Chaos, solitons & fractals, 17, 781-788, (2003) · Zbl 1032.26502 [5] Marek Crnjac, L., On mass spectrum of elementary particles of the standard model using el naschie’s Golden field theory, Chaos, solitons & fractals, 15, 611-618, (2003) · Zbl 1033.81521 [6] Goldfain, E., Derivation of the fine structure constant using fractional dynamics, Chaos, solitons & fractals, 17, 811-818, (2003) · Zbl 1034.81509 [7] Nottale, L., Scale relativity and non-differentiable fractal space – time, (), 65-79 [8] El Naschie, M.S., Nonlinear dynamics and infinite dimensional topology in high energy physics, Chaos, solitons & fractals, 17, 591-599, (2003) · Zbl 1033.37501 [9] El Naschie, M.S., Complex vacuum fluctuation as a chaotic limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organisation, Chaos, solitons & fractals, 17, 631-638, (2003) · Zbl 1034.81514 [10] Polchinski, J., String theory, vol. I and II, (1998), Cambridge University Press Cambridge, MA [11] Kechris, A.S., Classical descriptive set theory, (1995), Springer New York · Zbl 0819.04002 [12] Mumford, D.; Sevies, C.; Wright, D., Indra’s pearls, (2002), Cambridge New York [13] El Naschie, M.S., VAK, vacuum fluctuation and the mass spectrum of high energy particle physics, Chaos, solitons & fractals, 17, 797-807, (2003) · Zbl 1034.81515 [14] El Naschie, M.S., On a class of general theories for high energy particle physics, Chaos, solitons & fractals, 14, 649-668, (2002) [15] ‘t Hooft, G., In search of the ultimate building blocks, (1997), Cambridge New York · Zbl 1344.81006 [16] El Naschie, M.S., Modular groups in Cantorian E infinity high energy physics, Chaos, solitons & fractals, 16, 353-366, (2003) · Zbl 1035.83503 [17] El Naschie, M.S., Kleinian groups in E infinity and their connection to particle physics and cosmology, Chaos, solitons & fractals, 16, 637-649, (2003) · Zbl 1035.83509 [18] El Naschie, M.S., On the exact mass spectrum of quarks, Chaos, solitons & fractals, 14, 369-376, (2002) [19] El Naschie, M.S., On conjugate complex time and information in relativistic quantum theory, Chaos, solitons & fractals, 5, 8, 1551-1555, (1995) · Zbl 0899.53052 [20] El Naschie, M.S., Theoretical derivation and experimental confirmation of the topology of transfinite heterotic strings, Chaos, solitons & fractals, 12, 1167-1174, (2001) · Zbl 1022.81678 [21] Weinberg, S., A unified physics by 2050, Sci. am., December, 36-43, (1999) [22] Koschmieder EL. The standing wave model of the mesons and baryons. Chaos, Solitons & Fractals, in press · Zbl 1059.81183 [23] Sidharth, B.G., The nature of quantum space – time and the Cantorian proposal, Chaos, solitons & fractals, December, 1325, (2002) · Zbl 1037.81549 [24] Castro, C., Fractal strings as an alternative justification for el naschie’s Cantorian space – time and the fine structure constant, Chaos, solitons & fractals, December, 1341, (2002) · Zbl 1033.81511 [25] Castro, C., On p-adic stochastic dynamics, super symmetry and the Riemann conjecture, Chaos, solitons & fractals, January, 15, (2003) · Zbl 1056.81074 [26] Saniga, M., A further note on a formal relationship between the arithmetic of homoloidal nets and the dimensions of transfinite space – time, Chaos, solitons & fractals, 1571-1573, (2002) [27] Gottlieb, I.; Ciobann, G.; Buzea, C.Ch., El naschie’s Cantorian space – time, Toda lattices and cooper – agop pairs, Chaos, solitons & fractals, August, 789, (2003) · Zbl 1034.81516 [28] Zmeskal, O.; Nezadal, M.; Buchnicek, M., Fractal Cantorian geometry Hausdorff dimension and the fundamental laws of physics, Chaos, solitons & fractals, July, 113, (2003) · Zbl 1036.28013 [29] Agop, M.; Strat, M.; Strat, G.; Nica, T.P., Cantorian ε(∞) structures in discharge plasma double layers. theoretical and experimental aspects of basic processes, Chaos, solitons & fractals, June, 1541, (2002) [30] El Naschie MS. The mass of the neutrinos via the energy of the cosmic background radiation of the VAK. Chaos, Solitons & Fractals, in press · Zbl 1075.83534 [31] Abel, S.; March-Russell, J., The search for extra dimensions, Physics world, November, 39, (2000) [32] Sidharth, B.G., Chaotic universe, (2001), Nova New York · Zbl 1016.83042 [33] El Naschie, M.S., The fractal dimension of space – time–remarks on theoretical derivation and experimental verification, Chaos, solitons & fractals, 9, 7, 1211-1217, (1988) · Zbl 1047.81530 [34] Kröger, H., Generalized aharonor – bohm effect, homotopy classes and Hausdorff dimension, Phys. lett. A, 226, 127-134, (1997) · Zbl 0962.81517 [35] El Naschie, M.S., A note on quantum mechanics, diffusional interference and informions, Chaos, solitons & fractals, 5, 5, 881-884, (1995) · Zbl 0900.81007 [36] El Naschie, M.S., Determining the temperature of the microwave background radiation from the topology and geometry of space – time, Chaos, solitons & fractals, 14, 1121-1126, (2002) · Zbl 1034.83503 [37] Strogatz S. Sync. Penguin Books, London, 2003 [38] Noyes, H.P.; Bastin, T.; Amson, J.; Kilmister, C., On the physical interpretation and the mathematical structure of combinatorial hierarchy, Int. J. theoret. phys., 13, 7, 445-488, (1979) [39] Sternglass, E.J., Before the big bang, (1997), Four Walls Eight Windows New York
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