Dark Energy Introduction

Thursday, December 26, 2013

Quantum Gravity and Dark Energy Using Fractal Planck Scaling

Quantum Gravity and Dark Energy Using Fractal Planck Scaling
Author(s)
L. Marek Crnjac, M. S. El Naschie
Following an inspiring idea due to D. Gross, we arrive at a topological Planck energy Ep and a corresponding topological Planck length  effectively scaling the Planck scale from esoterically large  and equally esoterically small  numbers to a manageably  where P(H) is the famous Hardy’s probability for quantum entanglement which amounts to almost 9 percent and  Based on these results, we conclude the equivalence of Einstein-Rosen “wormhole” bridges and Einstein’s Podolsky-Rosen’s spooky action at a distance. In turn these results are shown to be consistent with distinguishing two energy components which results in , namely the quantum zero set particle component  which we can measure and the quantum empty set wave component which we cannot measure , i.e. the missing dark energy. Together the two components add to  where E is the total energy, m is the mass and c is the speed of light. In other words, the present new derivation of the world’s most celebrated formula explains in one stroke the two most puzzling problems of quantum physics and relativistic cosmology, namely the physicomathematical meaning of the wave function and the nature of dark energy. In essence they are one and the same when looked upon from the view point of quantum-fractal geometry.
KEYWORDS
Scaling the Planck Scale; Quantum Entanglement; Dark Energy; Kaluza-Klein Space-Time; Worm Hole; Action at a Distance; Unruh Temperature; Hawking’s Negative Energy; Black Hole Physics; Cantorian Geometry; Fractals in Physics

To continue reading the paper please downloads it from here

Cite this paper
L. Crnjac and M. Naschie, "Quantum Gravity and Dark Energy Using Fractal Planck Scaling," Journal of Modern Physics, Vol. 4 No. 11A, 2013, pp. 31-38. doi: 10.4236/jmp.2013.411A1005.
[1]D. Gross, Physics Today, Vol. 42, 1989, p. 9.
http://dx.doi.org/10.1063/1.2811040
[2]M.S. El Naschie and Atef Helal, International Journal of Astronomy and Astrophysics, Vol. 3, 2013, pp. 318-343.
[3]M. S. El Naschie, Journal of Quantum Information Science, Vol. 1, 2011, pp. 50-53.
http://dx.doi.org/10.4236/jqis.2011.12007
[4]M. S. El Naschie, Journal of Quantum Information Science, Vol. 3, 2013, pp. 23-26.
http://dx.doi.org/10.4236/jqis.2013.31006
[5]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 19, 2004, pp. 209-236.
http://dx.doi.org/10.1016/S0960-0779(03)00278-9
[6]A. Elokaby, Chaos, Solitons & Fractals, Vol. 41, 2009, pp. 1616-1618.
http://dx.doi.org/10.1016/j.chaos.2008.07.003
[7]P. S. Addison, “Fractals and Chaos,” IOP, Bristol, 1997.
http://dx.doi.org/10.1887/0750304006
[8]F. Diacu and P. Holmes, “Celestial Encounters—The Origins of Chaos and Stability,” Princeton University Press, Princeton, 1996.
[9]M. S. El Naschie, International Journal of Modern Nonlinear Theory and Application, Vol. 2, 2013, pp. 107-121.
http://dx.doi.org/10.4236/ijmnta.2013.22014
[10]M. S. El Naschie, Journal of Quantum Information Science, Vol. 3, 2013, pp. 57-77.
http://dx.doi.org/10.4236/jqis.2013.32011
[11]A. Connes, “Non-Commutative Geometry,” Academic Press, New York, 1994.
[12]J. Bellissard, “Gap labeling theorems for Schrodinger operators,” In: M. Waldschmidt, P. Monsa, J. Luck and C. Itzykon, Eds., Chapter 12 in From Number Theory to Physics, Springer, Berlin, 1992.
[13]G. Landi, “An Introduction to Non-Commutative Space and Their Geometries,” Springer, Berlin, 1997.
[14]L. Marek-Crnjac, et al., International Journal of Modern Nonlinear Theory and Application, Vol. 2, 2013, pp. 78-88. http://dx.doi.org/10.4236/ijmnta.2013.21A010
[15]M. S. El Naschie and J.-H. He, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, 2012, pp. 41-49.
[16]M. S. El Naschie, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, 2012, pp. 135-142.
[17]M. S. El Naschie, J.-H. He, S. Nada, L. Marek-Crnjac and M. Atef Helal, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, 2012, pp. 80-92.
[18]J.-H. He and M. S. El Naschie, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, 2012, pp. 94-98.
[19]M. S. El Naschie and J.-H. He, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 1, 2011, pp. 3-9.
[20]M. S. El Naschie and S. Olsen, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 1, 2011, pp. 11-24.
[21]M. S. El Naschie and O. E. Rossler, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, 2012, pp. 56-65.
[22]J.-H. He, T. Zhong, L. Xu, L. Marek-Crnjac, S. Nada and M. Atef Helal, Nonlinear Science Letters B, Vol. 1, 2011, pp. 15-24.
[23]M.S. El Naschie, Nonlinear Science Letters A, Vol. 2, 2011, pp. 1-9.
[24]M. S. El Naschie, L. Marek-Crnjac, J.-H. He and M. Atef Helal, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, 2013, pp. 3-10.
[25]T. Zhong and J.-H. He, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, 2013, pp. 46-49.
[26]M. S. El Naschie, Journal of Modern Physics, Vol. 4, 2013, pp. 757-760.
http://dx.doi.org/10.4236/jmp.2013.46103
[27]M. S. El Naschie, Journal of Modern Physics, Vol. 4, 2013, pp. 591-596.
http://dx.doi.org/10.4236/jmp.2013.45084
[28]M. S. El Naschie, Gravitation and Cosmology, Vol. 19, 2013, pp. 151-155.
http://dx.doi.org/10.1134/S0202289313030031
[29]S. Krantz and H. Parks, “Geometric Integration Theory,” Birkhauser, Boston, 2008.
http://dx.doi.org/10.1007/978-0-8176-4679-0
[30]R. Penrose, “The Road to Reality,” Johnathan Cape, London, 2004.
[31]L. Hardy, Physical Review Letters, Vol. 71, 1993, pp. 1665-1668.
http://dx.doi.org/10.1103/PhysRevLett.71.1665
[32]P. Kwiat and L. Hardy, American Journal of Physics, Vol. 68, 2000, p. 33. http://dx.doi.org/10.1119/1.19369
[33]N. D. Mermin, American Journal of Physics, Vol. 62, 1994, p. 880. http://dx.doi.org/10.1119/1.17733
[34]E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of Dark Energy,” 2006. arXiv: hep-th/0603057V3
[35]S. Perlmutter, et al., The Astrophysical Journal, Vol. 517, 1999, pp. 565-585. http://dx.doi.org/10.1086/307221
[36]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 10, 1999, pp. 1807-1811.
http://dx.doi.org/10.1016/S0960-0779(99)00008-9
[37]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 14, 2002, pp. 1117-1120.
[38]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 9, 1998, pp. 1445-1471.
http://dx.doi.org/10.1016/S0960-0779(98)00120-9
[39]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 38, 2008, pp. 1260-1268.
http://dx.doi.org/10.1016/j.chaos.2008.07.010
[40]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 29, 2006, pp. 23-35.
http://dx.doi.org/10.1016/j.chaos.2005.11.079
[41]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 41, 2009, pp. 1799-1803.
http://dx.doi.org/10.1016/j.chaos.2008.07.025
[42]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 41, 2009, pp. 2787-2789.
http://dx.doi.org/10.1016/j.chaos.2008.10.011
[43]M. S. El Naschie, New Advances in Physics, Vol. 1, 2007, pp. 111-122.
[44]J. Mageuijo and L. Smolin, “Lorentz Invariance with an Invariant Energy Scale,” Cornell University Library, Ithaca, 2001. arXiv: hep-th/0112090V2
[45]T. Zhong, Chaos, Solitons & Fractals, Vol. 42, 2009, pp. 1780-1783. http://dx.doi.org/10.1016/j.chaos.2009.03.079
[46]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 14, 2002, pp. 1121-1126.
http://dx.doi.org/10.1016/S0960-0779(02)00172-8
[47]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 28, 2006, pp. 1366-1371.
http://dx.doi.org/10.1016/j.chaos.2005.11.001
[48]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 29, 2006, pp. 816-822.
http://dx.doi.org/10.1016/j.chaos.2006.01.013
[49]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 16, No. 2, 2003, pp. 353-366.
http://dx.doi.org/10.1016/S0960-0779(02)00440-X
[50]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 13, 2002, pp. 1167-1174.
http://dx.doi.org/10.1016/S0960-0779(01)00210-7
[51]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 13, 2002, pp. 1935-1945.
http://dx.doi.org/10.1016/S0960-0779(01)00242-9
[52]A. Pais, “Subtle Is the Lord: The Science and Life of Albert Einstein,” Oxford University Press, Oxford, 1982.
[53]J.-H. He and M. S. El Naschie, Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, 2013, pp. 59-62.
[54]A. Gefter, “The Infinity Illusion,” New Scientist, 17 August 2013, pp. 32-35.
[55]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 41, 2009, pp. 2635-2646.
http://dx.doi.org/10.1016/j.chaos.2008.09.059
[56]R. Elwes, “Ultimate logic,” New Scientist, 30 July 2011, pp. 30-33.
http://dx.doi.org/10.1016/S0262-4079(11)61838-1
[57]M. S. El Naschie, International Journal of Modern Nonlinear Theory and Application, Vol. 2, 2013, pp. 55-59.
[58]M. S. El Naschie, International Journal of Theoretical Physics, Vol. 37, 1998, pp. 2935-2951.
http://dx.doi.org/10.1023/A:1026679628582
[59]M. S. El Naschie, International Journal of Modern Physics E, Vol. 13, 2004, pp. 835-849.
http://dx.doi.org/10.1142/S0218301304002429
[60]M. S. El Naschie, “From Hilbert Space to the Number of Higgs Particles via the Quantum Two-Slit Experiment,” In: P. Weibel, G. Ord and O. Rossler, Eds., Space-Time Physics and Fractality, Festshrift in Honour of Mohamed El Naschie, Springer Verlag, Wien and New York, 2005, pp. 223-231. http://dx.doi.org/10.1007/3-211-37848-0_14
[61]M. S. El Naschie, Open Journal of Microphysics, Vol. 3, 2013, pp. 64-70.
http://dx.doi.org/10.4236/ojm.2013.33012
[62]E. Goldfain, Chaos, Solitons & Fractals, Vol. 20, 2004, pp. 427-435.
http://dx.doi.org/10.1016/j.chaos.2003.10.012
[63]G. N. Ord, Annals of Physics, Vol. 324, 2009, pp. 1211-1218.
[64]M. S. El Naschie, Chaos, Solitons & Fractals, Vol. 25, 2005, pp. 521-524.
http://dx.doi.org/10.1016/j.chaos.2005.01.022
[65]A. Elokaby, Chaos, Solitons & Fractals, Vol. 42, 2009, pp. 303-305.
http://dx.doi.org/10.1016/j.chaos.2008.12.001
[66]G. Iovane and S. Nada, Chaos, Solitons & Fractals, Vol. 41, 2009, pp. 641-642.
http://dx.doi.org/10.1016/j.chaos.2008.11.024
[67]J.-H. He, E. Goldfain, L. D. Sigalotti and A. Mejias, “Beyond the 2006 Physics Nobel Prize for COBE,” China Culture & Scientific Publishing, 2006.
[68]M. S. El Naschie, Journal of Modern Physics, Vol. 4, 2013, pp. 354-356.
http://dx.doi.org/10.4236/jmp.2013.43049
[69]D. R. Finkelstein, “Quantum Relativity,” Springer, Berlin, 1996. http://dx.doi.org/10.1007/978-3-642-60936-7
[70]C. Rovelli, “Quantum Gravity,” Cambridge Press, Cambridge, 2004.
[71]Y. Gnedin, A. Grib and V. Matepanenko, “Proceedings of the Third Alexander Friedmann International Seminar on Gravitation and Cosmology,” Friedmann Lab. Pub., St. Petersberg, 1995.
[72]A. Vileukin and E. Shellard, “Cosmic Strings and Other Topological Defects,” Cambridge University Press, Cambridge, 2001.
Posted by at No comments:

An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy

An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy
Author(s)
Leila Marek-Crnjac, Jihuan He
The paper is a condensed but accurate account of El Naschie’s theory of Cantorian space-time which was used by him to clarify some major problems in theoretical physics and cosmology. In particular El Naschie’s revision and completion of relativity theory and demystification of dark energy are destined to be two milestones in the history of theoretical physics.
KEYWORDS
Cantorian Philosophy; Nonlinear Dynamics and Relativity; Fractal Einstein Gravity; Dark Energy; Ordinary Energy of the Quantum Particle; Dark Energy of the Quantum Wave

Cite this paper
L. Marek-Crnjac and J. He, "An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy,"International Journal of Astronomy and Astrophysics, Vol. 3 No. 4, 2013, pp. 464-471. doi: 10.4236/ijaa.2013.34053.
[1]M. S. El Naschie and I. Prigogine, “Time Symmetry Breaking in Classical and Quantum Mechanics,” Chaos, Solitons & Fractals (Special Issue), Vol. 7, No. 4, 1996, pp. 499-503.
[2]M. S. El Naschie, O. E. R?ssler and I. Prigogine, “Quantum Mechanics, Diffusion and Chaotic Fractals,” Pergamon Press/Elsevier, Oxford, 1995.
[3]J.-H. He, “A Historical Scientific Finding on Dark Energy,” Fractal Space-Time & Non-Commutative Geometry in Quantum & High Energy Phys., Vol. 2, No. 2, 2012, p. 14.
[4]J.-H. He and L. Marek-Crnjac, “Mohamed El Naschie’s revision of Albert Einstein’s E = mc2: A Definite Resolution of the Mystery of the Missing Dark Energy of the Cosmos,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1, 2013, pp. 55-59. http://dx.doi.org/10.4236/ ijmnta.2013.21006
[5]L. Marek-Crnjac, “Modification of Einstein’s E = mc2 to E = 1/22 mc2,” American Journal of Modern Physics, Vol. 2, No. 5, 2013, pp. 255-263.
[6]M. S. El Naschie and A. Helal, “Dark Energy Explained via the Hawking-Hartle Quantum Wave and the Topology of Cosmic Crystallography,” International Journal of Astronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 318-343.
[7]M. S. El Naschie, “The Quantum Gravity Immirzi Parameter—A General Physical and Topological Interpretation,” Gravitation and Cosmology, Vol. 19, No. 3, 2013, pp. 151-155. http://dx.doi.org/ 10.1134/S0202289313030031
[8]M. S. El Naschie, “What Is the Missing Dark Energy in a Nutshell and the Hawking-Hartle Quantum Wave Collapse,” International Journal of Astronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 205-211. http://dx.doi.org/10.4236/ijaa.2013.33024
[9]M. S. El Naschie, “A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory,” Journal of Quantum Information Science, Vol. 3, No. 1, 2013, pp. 23-26. http://dx.doi.org/ 10.4236/jqis.2013.31006
[10]M. S. El Naschie, “Topological-Geometrical and Physical Interpretation of the Dark Energy of the Cosmos as a “Halo” Energy of the Schr?dinger Quantum Wave,” Journal of Modern Physics, Vol. 4, No. 5, 2013, pp. 591-596. http://dx.doi.org/10.4236/jmp.2013.45084
[11]M. S. El Naschie, “Superstrings, Knots and Non-Commutative Geometry in E-Infinity Space,” International Journal of Theoretical Physics, Vol. 37, No. 12, 1998, pp. 2935-2951. http://dx.doi.org/ 10.1023/A:1026679628582
[12]M. S. El Naschie, “A Review of E-Infinity and the Mass Spectrum of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 19, No. 1, 2004, pp. 209-236. http://dx.doi.org/10.1016/S0960-0779(03)00278-9
[13]M. S. El Naschie, “Topological Defects in the Symplictic Vacuum, Anomalous Positron Production and the Gravitational Instanton,” International Journal of Modern Physics E, Vol. 13, No. 4, 2004, pp. 835-849. http://dx.doi.org/10.1142/S0218301304002429
[14]M. S. El Naschie, “Average Exceptional Lie Group Hierarchy and High Energy Physics,” In: American Institute of Physics (AIP) Conference Proceedings, Vol. 1018, American Institute of Physics (AIP), New York, 2008, pp. 15-20.
[15]P. S. Wesson, “Five-Dimensional Physics,” World Scientific, Singapore, 2006.
[16]P. Weibel, G. Ord and O. Rossler, “Space-Time Physics and Fractality, Festschrift in Honour of Mohamed El Naschie on the Occasion of His 60th Birthday,” Springer, Vienna, New York, 2005.
[17]M. S. El Naschie, “The Theory of Cantorian Space-Time and High Energy Particle Physics (an Informal Review),” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2635-2646. http://dx.doi.org/10. 1016/j.chaos.2008.09.059
[18]J.-H. He, “Hilbert Cube Model for Fractal Space-Time,” Chaos, Solitons & Fractals, Vol. 42, No. 5, 2009, pp. 2754-2759. http://dx.doi.org/10.1016/j.chaos.2009.03.182
[19]J.-H. He, et al., “Twenty-Six Dimensional Polytope and High Energy Space-Time Physics,” Chaos, Solitons & Fractals, Vol. 33, No. 1, 2007, pp. 5-13. http://dx.doi.org/10.1016/j.chaos.2006.10.048
[20]M. S. El Naschie, “From Classical Gauge Theory Back to Weyl Scaling via E-Infinity Space-Time,” Chaos, Solitons & Fractals, Vol. 38, No. 4, 2008, pp. 980-985. http://dx.doi.org/10.1016/j.chaos. 2008.05.017
[21]L. Marek-Crnjac, “The Hausdorff Dimension of the Penrose Universe,” Physics Research International, Vol. 2011, 2011, Article ID: 874302. http://dx.doi.org/10.1155/2011/874302
[22]J.-H. He, et al., “Transfinite Physics—A Collection of Publications on E-Infinity Cantorian Space-Time Theory,” China Culture & Scientific Publishing, Hongkong, 2005.
[23]J.-H. He, E. Goldfain, et al., “Beyond the 2006 Physics Nobel Prize for COBE,” China Culture & Scientific Publishing, Beijing, 2006.
[24]M. S. El Naschie, “Nonlinear Dynamics of the Two-Slit Experiment with Quantum Particles,” Problems of Nonlinear Analysis in Engineering Systems, Vol. 26, No. 2, 2006.
[25]L. Marek-Crnjac, “A Feynman Path Integral-Like Method for Deriving the Four Dimensionality of Space-Time from First Principles,” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2471-2473. http://dx.doi.org/10.1016/j.chaos.2008.09.014
[26]M. S. El Naschie, “On ‘tHooft’s Dimensional Regularization in E-Infinity Space,” Chaos, Solitons & Fractals, Vol. 12, No. 5, 2001, pp. 851-858. http://dx.doi.org/10.1016/S0960-0779(00)00138-7
[27]A. Connes, “Non-Commutative Geometry,” Academic Press, San Diego, 1994.
[28]M. S. El Naschie, “The Missing Dark Energy of the Cosmos from Light Cone Topological Velocity and Scaling the Planck Scale,” Open Journal of Microphysics, Vol. 3, No. 3, 2013, pp. 64-70.
http://dx.doi.org/10.4236/ojm.2013.33012
[29]M. S. El Naschie, “A Note on Quantum Gravity and Cantorian Space-Time,” Chaos, Solitons & Fractals, Vol. 8, No. 1, 1997, pp. 131-133. http://dx.doi.org/10.1016/S0960-0779(96)00128-2
[30]M. S. El Naschie, “Remarks on Superstrings, Fractal Gravity, Nagasawa’s Diffusion and Cantorian Space-Time,” Chaos, Solitons & Fractals, Vol. 8, No. 11, 1997, pp. 1873-1886.
http://dx.doi.org/10.1016/S0960-0779(97)00124-0
[31]M. S. El Naschie, “Fractal Gravity and Symmetry Breaking in a Hierarchical Cantorian Space,” Chaos, Solitons & Fractals, Vol. 8, No. 11, 1997, pp. 1865-1872. http://dx.doi.org/10.1016/S0960-0779(97) 00039-8
[32]L. Marek-Crnjac, et al., “Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1A, 2013, pp. 78-88. http://dx.doi.org/10.4236/ijmnta.2013.21A010
[33]M. S. El Naschie, “Electroweak Connection and Universality of Hardy’s Quantum Entanglement,” Fractal Space-Time & Non-Commutative Geometry in Quantum & High Energy Physics, Vol. 1, No. 1, 2011, pp. 25-30.
[34]M. S. El Naschie, “Fuzzy Multi-Instanton Knots in the Fabric of Space-Time and Dirac’s Vacuum Fluctuation,” Chaos, Solitons & Fractals, Vol. 38, No. 5, 2008, pp. 1260-1268. http://dx.doi.org/10. 1016/j.chaos.2008.07.010
[35]M. S. El Naschie, “Fuzzy Knot Theory Interpretation of Yang-Mills Instantons and Witten’s 5-Brane Model,” Chaos, Solitons & Fractals, Vol. 38, No. 5, 2008, pp. 1349-1354. http://dx.doi.org/10.1016/j. chaos.2008.07.002
[36]M. S. El Naschie, “Knots and Exceptional Lie Groups as Building Blocks of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 41, No. 4, 2009, pp. 1799-1803. http://dx.doi.org/10.1016/ j.chaos.2008.07.025
[37]M. S. El Naschie, “Fuzzy Platonic Spaces as a Model for Quantum Physics,” Mathematical Models, Physical Methods and Simulation in Science & Technology, Vol. 1, No. 1, 2008, pp. 91-101.
[38]M. S. El Naschie, S. Olsen, J. H. He, S. Nada, L. Marek-Crnjac and A. Helal, “On the Need for Fractal Logic in High Energy Quantum Physics,” International Journal of Modern Nonlinear Theory and Application, Vol. 1, No. 3, 2012, pp. 84-92.
[39]M. S. El Naschie, “Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry,” Journal of Quantum Information Science, Vol. 1, No. 2, 2011, pp. 50-53.
http://dx.doi.org/10.4236/jqis.2011.12007
[40]R. Coldea, D. A. Tennant, E. M. Wheeler, et al., “Quantum Ratio Discovered in a Quantum World,” Science, Vol. 8, No. 32, 2010, pp. 177-180.
[41]M. S. El Naschie, “The Hydrogen Atom Fractal Spectra, the Missing Dark Energy of the Cosmos and Their Hardy Quantum Entanglement,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 3, 2013, pp. 167-169. http://dx.doi.org/10.4236/ijmnta.2013.23023
[42]M. S. El Naschie, “The Hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy,” Journal of Modern Physics, Vol. 4, No. 3, 2013, pp. 354-356. http://dx.doi.org/10.4236/jmp.2013.43049
[43]M. S. El Naschie, “Dark Energy from Kaluza-Klein Space-Time and Noether’s Theorem via Lagrangian Multiplier Method,” Journal of Modern Physics, Vol. 4, No. 6, 2013, pp. 757-760. http://dx.doi.org/ 10.4236/jmp.2013.46103
[44]M. S. El Naschie and L. Marek-Crnjac, “Deriving the Exact Percentage of Dark Energy Using a Transfinite Version of Nottale’s Scale Relativity,” International Journal of Modern Nonlinear Theory and Application, Vol. 1, No. 4, 2012, pp. 118-124. http://dx.doi.org/10.4236/ijmnta.2012.14018
[45]M. S. El Naschie, “Quantum Entanglement: Where Dark Energy and Negative Gravity plus Accelerated Expansion of the Universe Comes from,” Journal of Quantum Information Science, Vol. 3, No. 2, 2013, pp. 57-77. http://dx.doi.org/10.4236/jqis.2013.32011
[46]M. S. El Naschie, “The Quantum Entanglement behind the Missing Dark Energy,” Journal of Modern Physics and Applications, Vol. 2, No. 1, 2013, pp. 88-96.
[47]M. S. El Naschie, “Determining the Missing Dark Energy of the Cosmos from a Light Cone Exact Relativistic Analysis,” Journal of Physics, Vol. 2, No. 2, 2013, pp. 18-23.
[48]G. Iovane, “Mohamed El Naschie’s E(Infinity) Cantorian Space-Time and Its Consequences in Cosmology,” Chaos, Solitons & Fractals, Vol. 25, No. 3, 2005, pp. 775-779. http://dx.doi.org/10.1016/ j.chaos.2005.02.024
[49]M. Persinger and C. Lavellee, “Theoretical and Experimental Evidence of Macroscopic Entanglement between Human Brain Activity and Photon Emission,” Journal of Consciousness Exploration & Research, Vol. 1, No. 7, 2010, pp. 785-807.
Posted by at No comments:

The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology

The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology

In this short survey, we give a complete list of the most important results obtained by El Naschie’s E-infinity Cantorian space-time theory in the realm of quantum physics and cosmology. Special attention is paid to his recent result on dark energy and revising Einstein’s famous formula .

KEYWORDS
Review of E-infinity; Summary of Cantorian Space-Time; El Naschie Nottale and Ord Fractal Space-Time; Rindler Space-Time; Revising Einstein Theory; Dark Energy Revealed


Cite this paper
M. A. Helal, L. Marek-Crnjac and J. He, "The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology," Open Journal of Microphysics, Vol. 3 No. 4, 2013, pp. 141-145. doi: 10.4236/ojm.2013.34020.
[1]M. S. El Naschie, O. E. Rossler and I. Prigogine, “Quantum Mechanics, Diffusion and Chaotic Fractals,” Elsevier Science Ltd., Oxford, 1995.
[2]M. Jammer, “Concepts of Space,” Dover Publications, New York, 1969.
[3]B. G. Sidharth, “The Universe of Fluctuations (The Architecture of Space-Time and the Universe),” Springer, Dordrecht, 2005.
[4]M. S. El Naschie, “Deterministic Quantum Mechanics versus Classical Mechanical Indeterminism,” International Journal of Nonlinear Science & Numerical Simulation, Vol. 8, No. 1, 2007, pp. 5-10.
[5]M. S. El Naschie, “Average Exceptional Lie Group Hierarchy and High Energy Physics,” American Inst. of Physics, 9th Int. Symposium Proceedings, 7-9 June 2008, AIP Conferences, 101018, pp. 15-20.
[6]J.-H. He, “Transfinite Physics: A Collection of Publication on E-Infinity Cantorian Space-Time Theory,” China Education and Culture Publishing Co., Beijing, 2005.
[7]J.-H. He, E. Goldfain, L. D. Sigalotti and A. Mejias, “Beyond the 2006 Physics Nobel Price for COBE: An Introduction to E-infinity Theory,” China Education and Culture Publishing Co., Beijing, 2006.
[8]J. Brindly, T. Kapitaniak and M. S. El Naschie, “Analytical Conditions for Strange Chaotic and Non-Chaotic Attractors of the Quasi Periodically Forced van der Pol Equation,” Physica D: Nonlinear Phenomena, Vol. 51, No. 1-3, 1991, pp. 28-38.
http://dx.doi.org/10.1016/0167-2789(91)90219-Y
[9]M. S. El Naschie and S. Al Athel, “On the Connection between Statical and Dynamical Chaos,” Zeitschrift fur Naturforshung, Vol. 44a, 1989, pp. 645-650.
[10]D. K. Campbell, “Chaos,” AIP, New York, 1990.
[11]G. Cherbit, “Fractals,” J. Wiley, Chichester, 1991.
[12]S. Weinberg, “The Quantum Theory of Fields,” Parts I, II, III, Cambridge Press, 1998,2000.
[13]M. S. El Naschie, “Quantum Golden Field Theory—Ten theorems and Various Conjectures,” Chaos, Solitons & Fractals, Vol. 36, No. 5, 2008, pp. 1121-1125.
http://dx.doi.org/10.1016/j.chaos.2007.09.023
[14]M. S. El Naschie, “Towards a Quantum Golden Field Theory,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 8, No. 4, 2007, pp. 477-482.
[15]M. S. El Naschie, “High Energy Physics and the Standard Model from the Exceptional Lie Groups,” Chaos, Solitons & Fractals, Vol. 36, No. 1, 2008, pp. 1-17.
http://dx.doi.org/10.1016/j.chaos.2007.08.058
[16]M. S. El Naschie, “P-Adic Unification of the Fundamental Forces and the Standard Model,” Chaos, Solitons & Fractals, Vol. 38, No. 4, 2008, pp. 1011-1012.
http://dx.doi.org/10.1016/j.chaos.2008.04.047
[17]M. S. El Naschie, “On a Canonical Equation for All Fun- damental Interactions,” Chaos, Solitons & Fractals, Vol. 36, No. 5, 2008, pp. 1200-1204.
http://dx.doi.org/10.1016/j.chaos.2007.09.039
[18]M. S. El Naschie, “Statistical Mechanics of Multi-Dimensional Cantor Sets Godel Theorem and Quantum Space-Time,” Journal of Franklin Institute, Vol. 33, No. 1, 1993, pp. 199-211.
http://dx.doi.org/10.1016/0016-0032(93)90030-X
[19]M. S. El Naschie, “Complex Dynamics in 4D Peano-Hilbert Space,” Il Nuovo Cimento, Vol. 1, No. 5, 1992, pp. 583-594.
[20]M. S. El Naschie, “Peano Dynamics as a Model for Turbulence and Strange Non-Chaotic Behavior,” Acta Physica Polonica A, Vol. 80, No. 1, 1991.
[21]M. S. El Naschie, “Quantum Mechanics and the Possibility of a Cantorian Space-Time,” Chaos, Solitons & Fractals, Vol. 1, No. 5, 1991, pp. 485-487.
http://dx.doi.org/10.1016/0960-0779(91)90019-6
[22]M. S. El Naschie, “Renormalization Semi-Groups and the Dimension of Cantorian Space-Time,” Chaos, Solitons & Fractals, Vol. 4, No. 7, 1994, pp. 1141-1145.
http://dx.doi.org/10.1016/0960-0779(94)90027-2
[23]M. S. El Naschie, “On a Class of General Theories for High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 14, No. 4, 2002, pp. 649-668.
http://dx.doi.org/10.1016/S0960-0779(02)00033-4
[24]M. S. El Naschie, “A Review of E-Infinity Theory and the Mass Spectrum of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 19, No. 1, 2004, pp. 209-236. http://dx.doi.org/10.1016/S0960-0779(03)00278-9
[25]M. S. El Naschie, “The Theory of Cantorian Space-Time and High Energy Particle Physics (An Informal Review),” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2635-2646. http://dx.doi.org/10.1016/j.chaos.2008.09.059
[26]M. S. El Naschie, “Application of Chaos and Fractals in Fundamental Physics and Set Theoretical Resolution of the Two-Slit Experiment and Wave Collapse,” The 3rd International Symposium on Nonlinear Dynamics, Donghua University, China, 2010, pp. 7-8.
[27]M. S. El Naschie, “Kaluza-Klein Unification—Some Possible Extensions,” Chaos, Solitons & Fractals, Vol. 37, No. 1, 2008, pp. 16-22.
http://dx.doi.org/10.1016/j.chaos.2007.09.079
[28]M. S. El Naschie, “On Dualities between Nordstrom-Ka- luza-Klein Newtonian and Quantum Gravity,” Chaos, Solitons & Fractals, Vol. 36, No. 4, 2008, pp. 808-810.
http://dx.doi.org/10.1016/j.chaos.2007.09.019
[29]M. S. El Naschie, “Superstring Theory: What It Cannot Do but E-Infinity Could,” Chaos, Solitons & Fractals, Vol. 29, No. 1, 2006, pp. 65-68.
http://dx.doi.org/10.1016/j.chaos.2005.11.021
[30]G. N. Ord, “Fractal Space-Time,” Journal of Physics A: Mathematical and General, Vol. 16, No. 9, 1983, p. 1869.
http://dx.doi.org/10.1088/0305-4470/16/9/012
[31]L. Nottale, “Fractal Space-Time and Microphysics,” World Scientific, Singapore, 1993.
[32]M. S. El Naschie, “Quantum Mechanics, Cantorian Space-Time and the Heisenberg Uncertainty Principle,” Vistas in Astronomy, Vol. 37, 1993, pp. 249-252.
http://dx.doi.org/10.1016/0083-6656(93)90040-Q
[33]A. Connes, “Non-commutative Geometry,” Academic Press, San Diego, 1994.
[34]M. S. El Naschie, “Penrose Universe and Cantorian Space-Time as a Model for Non-Commutative Quantum Geometry,” Chaos, Solitons & Fractals, Vol. 9, No. 6, 1998, pp. 931-933.
http://dx.doi.org/10.1016/S0960-0779(98)00077-0
[35]M. S. El Naschie, “Quantum Gravity Unification via Transfinite Arithmetic and Geometrical Averaging,” Chaos, Solitons & Fractals, Vol. 35, No. 2, 2008, pp. 252-256. http://dx.doi.org/10.1016/j.chaos.2007.07.019
[36]M. S. El Naschie, “On a Transfinite Symmetry Group with 10 to the Power of 19 Dimensions,” Chaos, Solitons & Fractals, Vol. 36, No. 3, 2008, pp. 539-541.
http://dx.doi.org/10.1016/j.chaos.2007.09.006
[37]Y. Tanaka, “The Mass Spectrum of Hadrons and E-Infi- nity Theory,” Chaos, Solitons & Fractals, Vol. 27, No. 4, 2006, pp. 851-863.
http://dx.doi.org/10.1016/j.chaos.2005.04.080
[38]M. S. El Naschie, “Transfinite Harmonization by Taking the Dissonance Out of the Quantum Field Symphony,” Chaos, Solitons & Fractals, Vol. 36, No. 4, 2008, pp. 781-786. http://dx.doi.org/10.1016/j.chaos.2007.09.018
[39]M. S. El Naschie, “Quantum E-Infinity Field Theoretical Derivation of Newton’s Gravitational Constant,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 8, No. 4, 2007, pp. 469-474.
[40]M. S. El Naschie, “From E-Eight to E-Infinity,” Chaos, Solitons & Fractals, Vol. 35, No. 2, 2008, pp. 285-290.
http://dx.doi.org/10.1016/j.chaos.2007.06.111
[41]M. S. El Naschie, “Higgs Mechanism, Quarks Confinement and Black Holes as a Cantorian Space-Time Phase Transition Scenario,” Chaos, Solitons & Fractals, Vol. 41, No. 2, 2009, pp. 869-874.
http://dx.doi.org/10.1016/j.chaos.2008.04.013
[42]M. S. El Naschie, “On Phase Transition to Quarks Confinement,” Chaos, Solitons & Fractals, Vol. 38, No. 2, 2008, pp. 332-333.
http://dx.doi.org/10.1016/j.chaos.2008.03.003
[43]M. S. El Naschie, “On Quarks Confinement and Asymptotic Freedom,” Chaos, Solitons & Fractals, Vol. 37, No. 5, 2008, pp. 1289-1291.
http://dx.doi.org/10.1016/j.chaos.2008.02.002
[44]M. S. El Naschie, “The Internal Dynamics of the Exceptional Lie Symmetry Groups Hierarchy and the Coupling Constants of Unification,” Chaos, Solitons & Fractals, Vol. 38, No. 4, 2008, pp. 1031-1038.
http://dx.doi.org/10.1016/j.chaos.2008.04.028
[45]M. S. El Naschie, “The Exceptional Lie Symmetry Groups Hierarchy and the Expected Number of Higgs Bosons,” Chaos, Solitons & Fractals, Vol. 35, No. 2, 2008, pp. 268-273. http://dx.doi.org/10.1016/j.chaos.2007.07.036
[46]M. S. El Naschie, “On D. Gross’ Criticism of S. Eddington and an Exact Calculation of ,” Chaos, Solitons & Fractals, Vol. 32, No. 4, 2007, pp. 1245-1249. http://dx.doi.org/10.1016/j.chaos.2006.10.035
[47]M. S. El Naschie, “Rigorous Derivation of the Inverse Electromagnetic Fine Structure Constant ā = 1/137.036 Using Super String Theory and the Holographic Boundary of E-Infinity,” Chaos, Solitons & Fractals, Vol. 32, No. 3, 2007, pp. 893-895.
http://dx.doi.org/10.1016/j.chaos.2006.09.055
[48]I. Affleck, “Golden Ratio Seen in a Magnet,” Nature, Vol. 464, No. 18, 2010, pp. 362-363.
http://dx.doi.org/10.1038/464362a
[49]M. S. El Naschie, “Von Neumann Geometry and E-Infinity Quantum Spacetime,” Chaos, Solitons & Fractals, Vol. 9, No. 12, 1998, pp. 2023-2030.
[50]M. S. El Naschie, “Arguments for the Compactness and Multiple Connectivity of Our Cosmic Spacetime,” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2787-2789. http://dx.doi.org/10.1016/j.chaos.2008.10.011
[51]M. S. El Naschie, “Banach-Tarski Theorem and Cantorian Micro Spacetime,” Chaos, Solitons & Fractals, Vol. 5, No. 8, 1995, pp. 1503-1508.
http://dx.doi.org/10.1016/0960-0779(95)00052-6
[52]M. S. El Naschie, “A Review of Applications and Results of E-Infinity Theory,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 8, No. 1, 2007, pp. 11-20.
[53]M. S. El Naschie, “The Quantum Gravity Immirzi Pa- rameter—A General Physical and Topological Interpretation,” Gravitation and Cosmology, Vol. 19, No. 3, 2013, pp. 151-155.
http://dx.doi.org/10.1134/S0202289313030031
[54]M. S. El Naschie, “A Resolution of the Cosmic Dark Energy via a Quantum Entanglement Relativity Theory,” Journal of Quantum Information Science, Vol. 3, No. 1, 2013, pp. 23-26.
http://dx.doi.org/10.4236/jqis.2013.31006
[55]M. S. El Naschie, “Topological-Geometrical and Physical Interpretation of the Dark Energy of the Cosmos as a ‘Halo’ Energy of the Schrodinger Quantum Wave,” Journal of Modern Physics, Vol. 4, No. 5, 2013, pp. 591-596.
http://dx.doi.org/10.4236/jmp.2013.45084
[56]M. S. El Naschie, “The Missing Dark Energy of the Cosmos from Light Cone Topological Velocity and Scaling the Planck Scale,” Open Journal of Microphysics, Vol. 3, No. 3, 2013, pp. 64-70.
http://dx.doi.org/10.4236/ojm.2013.33012
[57]M. S. El Naschie, “What Is the Missing Dark Energy in a Nutshell and the Hawking-Hartle Quantum Wave Collapse,” International Journal of Astronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 205-211.
http://dx.doi.org/10.4236/ijaa.2013.33024
[58]M. S. El Naschie, “A Unified Newtonian-Relativistic Quantum Resolution of the Supposedly Missing Dark Energy of the Cosmos and the Constancy of the Speed of Light,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1, 2013, pp. 55-59.
[59]L. Marek-Crnjac, “Modification of Einstein’s E = mc2 to E = mc2/22,” American Journal of Modern Physics, Vol. 2, No. 5, 2013, pp. 255-263.
[60]M. S. El Naschie, “The Quantum Entanglement behind the Missing Dark Energy,” Journal of Modern Physics and Applications, Vol. 2, No. 1, 2013, pp. 88-96.
[61]M. S. El Naschie, “Dark Energy from Kaluza-Klein Spacetime and Noether’s Theorem via Lagrangian Multiplier Method,” Journal of Modern Physics, Vol. 4, No. 6, 2013, pp. 757-760.
http://dx.doi.org/10.4236/jmp.2013.46103
[62]J.-H. He, “Special Issue on Recent Developments on Dark Energy and Dark Matter,” Fractal Space-Time and Non-commutative Geometry in Quantum and High Energy Physics, Vol. 3, No. 1, 2013.
[63]M. S. El Naschie and A. Helal, “Dark Energy Explained via the Hawking-Hartle Quantum Wave and the Topology of Cosmic Crystallography,” International Journal of As- tronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 318- 343. http://dx.doi.org/10.4236/ijaa.2013.33037
[64]M. S. El Naschie, “Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry,” Journal of Quantum Information Science, Vol. 1, No. 2, 2011, pp. 50-53.
http://dx.doi.org/10.4236/jqis.2011.12007
[65]M. S. El Naschie, “Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1A, 2013, pp. 78-88.
[66]M. S. El Naschie, “Quantum Entanglement: Where Dark Energy and Negative Gravity Plus Accelerated Expansion of the Universe Comes from,” Journal of Quantum Information Science, Vol. 3, No. 2, 2013, pp. 57-77.
http://dx.doi.org/10.4236/jqis.2013.32011
[67]M. S. El Naschie, “The Hydrogen Atom Fractal Spectra, the Missing Dark Energy of the Cosmos and Their Hardy Quantum Entanglement,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 3, 2013, pp. 167-169.
http://dx.doi.org/10.4236/ijmnta.2013.23023
[68]M. S. El Naschie, “A Fractal Menger Sponge Spacetime Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 2, 2013, pp. 107-121.
http://dx.doi.org/10.4236/ijmnta.2013.22014
[69]M. Krizek and L. Somer, “Antigravity—Its Manifestation and Origin,” International Journal of Astronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 227-235.
http://dx.doi.org/10.4236/ijaa.2013.33027
[70]C. Calcagni, J. Magueijo and D. Fernandez, “Varying Electric Charges in Multi-Scale Spacetimes,” 2013.
[71]D. Finkelstein, “Quantum Sets and Clifford Algebras,” International Journal of Theoretical Physics, Vol. 21, No. 6-7, 1982, pp. 489-503.
http://dx.doi.org/10.1007/BF02650180
[72]L. H. Kauffman, “Virtual Logic,” Systems Research, Vol. 13, No. 3, 1996, pp. 293-310.
http://dx.doi.org/10.1002/(SICI)1099-1735(199609)13:3<293::AID-SRES99>3.0.CO;2-D
[73]M. Pusey, J. Barrett and T. Randolph, “On the Reality of Quantum State,” Nature Physics, Vol. 8, 2012, pp. 475- 478.
[74]M. S. El Naschie, “On Twisters in Cantorian E-Infinity Space,” Chaos, Solitons & Fractals, Vol. 12, No. 4, 2011, pp. 741-746.
http://dx.doi.org/10.1016/S0960-0779(00)00193-4
[75]M. S. El Naschie, “On the Uncertainty of Cantorian Geometry and the Two-Slit Experiment,” Chaos, Solitons & Fractals, Vol. 9, No. 3, 1998. pp. 517-529.
http://dx.doi.org/10.1016/S0960-0779(97)00150-1
[76]M. S. El Naschie, “Fractal Black Holes and Information,” Chaos, Solitons & Fractals, Vol. 29, No. 1, 2006, pp. 23-35. http://dx.doi.org/10.1016/j.chaos.2005.11.079
[77]M. S. El Naschie, “Wild Topology, Hyperbolic Geometry and Fusion Algebra of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 13, No. 9, 2002, pp. 1935-1945. http://dx.doi.org/10.1016/S0960-0779(01)00242-9
[78]M. S. El Naschie, “Quantum Loops, Wild Topology and Fat Cantor Sets in Transfinite High Energy Physics,” Chaos, Solitons & Fractals, Vol. 13, No. 5, 2002, pp. 1167-1174.
http://dx.doi.org/10.1016/S0960-0779(01)00210-7
[79]M. S. El Naschie, “Average Symmetry, Stability and Ergodicity of Multidimensional Cantor Sets,” II Nuovo Cimento B Series 11, Vol. 109, No. 2, 1994, pp. 149-157.
http://dx.doi.org/10.1007/BF02727425
[80]M. S. El Naschie, “The VAK of Vacuum Fluctuation, Spontaneous Self-Organization and Complexity Theory Interpretation of High Energy Particle Physics and the Mass Spectrum,” Chaos, Solitons & Fractals, Vol. 18, No. 2, 2003, pp. 401-420.
http://dx.doi.org/10.1016/S0960-0779(03)00098-5
[81]L. Marek-Crnjac, G. Iovane, S. I. Nada and T. Zhong, “The Mathematical Theory of Finite and Infinite Dimensional Topological Spaces and Its Relevance to quantum gravity,” Chaos, Solitons & Fractals, Vol. 42, No. 4, 2009, pp. 1974-1979.
http://dx.doi.org/10.1016/j.chaos.2009.03.142
[82]M. S. El Naschie, “The Feynman Path Integral and E-Infinity from Two-Slit Gedanken Experiment,” International Journal of Nonlinear Science & Numerical Simulation, Vol. 6, No. 4, 2005, pp. 335-342.
[83]M. S. El Naschie, “Mohamed El Naschie Answers a Few Questions about this Month’s Emerging Research Front in the Field of Physics,” Thomason Essential Science Indicators. http://esi-topics.com/erf/2004/october04-MohamedElNaschie.html
[84]M. S. El Naschie, “Revising Einstein’s E = mc2: A Theoretical Resolution of the Mystery of Dark Energy,” Conference Program and Abstracts of The Fourth Arab Int. Conference in Physics & Material Science, Bibliotheca Alexandrina, Alexandria, October 2012, pp. 1-3.
[85]M. S. El Naschie, “Nash Embedding of Witten’s M-Theory and the Hawking-Hartle Quantum Wave of Dark Energy,” Journal of Modern Physics, Vol. 4, No. 10, 2013, pp. 1417-1428.
http://dx.doi.org/10.4236/jmp.2013.410170
Posted by at No comments:

From Yang-Mills Photon in Curved Spacetime to Dark Energy Density

From Yang-Mills Photon in Curved Spacetime to Dark Energy Density
We start from quantum field theory in curved spacetime to derive a new Einstein-like energy mass relation of the type E=γmc2 where γ=1/22 is a Yang-Mills Lorentzian factor, m is the mass and c is the velocity of light. Although quantum field in curved spacetime is not a complete quantum gravity theory, our prediction here of 95.4545% dark energy missing in the cosmos is almost in complete agreement with the WMAP and supernova measurements. Finally, it is concluded that the WMAP and type 1a supernova 4.5% measured energy is the ordinary energy density of the quantum particle while the 95.5% missing dark energy is the energy density of the quantum wave. Recalling that measurement leads to quantum wave collapse, it follows that dark energy as given by E(D) = mc2(21/22) cannot be detected using conventional direct measurement although its antigravity effect is manifested through the increasing rather than decreasing speed of cosmic expansion.
KEYWORDS
Yang-Mills Theory; Dark Energy; Quantum Field in Curved Space; String Theory

To continue reading the paper please downloads it from here

Cite this paper
M. Naschie, "From Yang-Mills Photon in Curved Spacetime to Dark Energy Density," Journal of Quantum Information Science, Vol. 3 No. 4, 2013, pp. 121-126. doi: 10.4236/jqis.2013.34016.
[1]L. Amendola and S. Tsujikawa, “Dark Energy: Theory and Observations,” Cambridge University Press, Cambridge, 2010.
http://dx.doi.org/10.1017/CBO9780511750823
[2]N. D. Birrell and P. C. Davies, “Quantum Fields in Curved Space,” Cambridge University Press, Cambridge, 1994.
[3]R. Wald, “Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics,” The University of Chicago Press, Chicago, 1994.
[4]G. ‘t Hooft, “50 Years of Yang-Mills Theory,” World Scientific, Singapore, 2005.
http://dx.doi.org/10.1142/5601
[5]G. ‘t Hooft, “Under the Spell of Gauge Principle,” World Scientific, Singapore, 1994.
[6]D. Oriti, “Quantum Gravity,” Cambridge University Press, Cambridge, 2009.
[7]R. Penrose, “The Road to Reality,” Jonathan Cape, London, 2004.
[8]L. Nottale, “Scale Relativity,” Imperial College Press, London, 2011.
[9]L. Marek-Crnjac, et al., “Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology,” IJMNTA, Vol. 2, No. 1A, 2013, pp. 78-88.
[10]J. H. He and L. Marek-Crnjac, “Mohamed El Naschie’s Revision of Albert Einstein’s E = mc2: A Definite Resolution of the Mystery of the Missing Dark Energy of the Cosmos,” IJMNTA, No. 1, 2013, pp. 55-59.
[11]L. Marek-Crnjac, “Modification of Einstein’s E = mc2 to E = mc2/22,” American Journal of Modern Physics, Vol. 2, No. 5, 2013, pp. 255-263.
[12]M. S. El Naschie, “The Quantum Gravity Immirzi Parameter— A General Physical and Topological Interpretation,” Gravitation and Cosmology, Vol. 19, No. 3, 2013, pp. 151-155.
http://dx.doi.org/10.1134/S0202289313030031
[13]M. S. El Naschie, “What Is the Missing Dark Energy in a Nutshell and the Hawking-Hartle Quantum Wave Collapse,” International Journal of Astronomy & Astrophysics, Vol. 3, No. 3, 2013, pp. 205-211.
http://dx.doi.org/10.4236/ijaa.2013.33024
[14]M. S. El Naschie, “Dark Energy from Kaluza-Klein Spacetime and Noether’s Theorem via Lagrangian Multiplier Method,” Journal of Modern Physics, Vol. 4, No. 6, 2013, pp. 757-760. http://dx.doi.org/10.4236/jmp.2013.46103
[15]M. S. El Naschie and A. Helal, “Dark Energy Explained via the Hawking-Hartle Quantum Wave and the Topology of Cosmic Crystallography,” International Journal of Astronomy and Astrophysics, Vol. 3, No. 3, 2013, pp. 318-343.
[16]S. Weinberg, “Cosmology,” Oxford University Press, Oxford, 2008.
[17]M. S. El Naschie, “On the Unification of the Fundamental Forces and Complex Time in E-Infinity Space,” Chaos, Solitons & Fractals, Vol. 11, No. 7, 2000, pp. 1149-1162.
http://dx.doi.org/10.1016/S0960-0779(99)00185-X
[18]M. S. El Naschie, “Transfinite Neoimpressionistic Reality of Quantum Spacetime,” New Advances in Physics, Vol. 1, No. 2, 2007, pp. 111-122.
[19]M. S. El Naschie, “On the Uncertainty of Cantorian Geometry and the Two-Slit Experiment,” Chaos, Solitons & Fractals, Vol. 9, No. 3, 1998, pp. 517-529.
http://dx.doi.org/10.1016/S0960-0779(97)00150-1
[20]M. S. El Naschie, “Gravitational Instanton in Hilbert Space and the Mass of High Energy Elementary Particles,” Chaos, Solitons & Fractals, Vol. 20, No. 5, 2004, pp. 917-923.
http://dx.doi.org/10.1016/j.chaos.2003.11.001
[21]M. S. El Naschie, “How Gravitational Instanton Could Solve the Mass Problem of the Standard Model of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 21, No. 1, 2004, p. 249-260.
http://dx.doi.org/10.1016/j.chaos.2003.12.001
[22]M. S. El Naschie, “Topological Defects in the Symplictic Vacuum, Anomalous Positron Production and the Gravitational Instanton,” International Journal of Modern Physics E, Vol. 13, No. 4, 2004, pp. 835-849.
http://dx.doi.org/10.1142/S0218301304002429
[23]G. ‘t Hooft, “A Physical Interpretation of Gravitational Instantons,” Nuclear Physics B, Vol. 315, No. 2, 1989, pp. 577-527.
[24]L. Marek-Crnjac, “On the Unification of All Fundamental Forces in a Fundamentally Fuzzy Cantorian E-Infinity Manifold and High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 20, No. 4, 2004, pp. 669-682.
http://dx.doi.org/10.1016/j.chaos.2003.10.013
[25]M. Pusey, J. Barrett and T. Randolph, “On the Reality of Quantum State,” Nature Physics, Vol. 8, 2012, pp. 475-478.
[26]M. S. El Naschie, “Topological-Geometrical and Physical Interpretation of the Dark Energy of the Cosmos as a “Halo” Energy of the Schrödinger Quantum Wave,” Journal of Modern Physics, Vol. 4, No. 5, 2013, pp. 591-596.
http://dx.doi.org/10.4236/jmp.2013.45084
[27]M. S. El Naschie, “Quantum Entanglement: Where Dark Energy and Negative Gravity Plus Accelerated Expansion of the Universe Comes from,” Journal of Quantum Information Science, Vol. 3, 2013, pp. 57-77.
http://dx.doi.org/10.4236/jqis.2013.32011
[28]M. S. El Naschie, “A Resolution of the Cosmic Dark Energy via a Quantum Entanglement Relativity Theory,” Journal of Quantum Information Science, Vol. 3, No. 1, 2013, pp. 23-26.
http://dx.doi.org/10.4236/jqis.2013.31006
Posted by at No comments:

A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy

A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy
We introduce an ultra high energy combined KAM-Rindler fractal spacetime quantum manifold, which increasingly resembles Einstein’s smooth relativity spacetime, with decreasing energy. That way we derive an effective quantum gravity energy-mass relation and compute a dark energy density in complete agreement with all cosmological measurements, specifically WMAP and type 1a supernova. In particular we find that ordinary measurable energy density is given by E1= mc2 /22 while the dark energy density of the vacuum is given by E2 = mc2 (21/22). The sum of both energies is equal to Einstein’s energy E = mc2. We conclude that E= mc2 makes no distinction between ordinary energy and dark energy. More generally we conclude that the geometry and topology of quantum entanglement create our classical spacetime and glue it together and conversely quantum entanglement is the logical consequence of KAM theorem and zero measure topology of quantum spacetime. Furthermore we show via our version of a Rindler hyperbolic spacetime that Hawking negative vacuum energy, Unruh temperature and dark energy are different sides of the same medal.
KEYWORDS
Quantum Relativity; KAM Theorem; Dark Energy; Hawking Negative Energy Vacuum Fluctuation; Unruh Temperature; Rindler Spacetime; Einstein-Rosen Bridges; Action at Distance; Susslin Operation

Cite this paper
M. Naschie, "A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy," International Journal of Astronomy and Astrophysics, Vol. 3 No. 4, 2013, pp. 483-493. doi: 10.4236/ijaa.2013.34056.
[1]D. J. Gross, “Can We Scale the Planck Scale?” Physics Today, Vol. 42, No. 6, 1989, pp. 9-11. http://dx.doi.org/10.1063/1.2811040
[2]M. S. El Naschie and A. Helal, “Dark Energy Explained via the Hawking-Hartle Quantum Wave and the Topology of Cosmic Crystallography,” Int. J. Astron. & Astrophys, Vol. 3, No. 3, 2013, p. 318.
[3]M. S. El Naschie, “Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry,” Journal of Quantum Information Science, Vol. 1, No. 2, 2011, pp. 50-53. http://dx.doi.org/ 10.4236/jqis.2011.12007
[4]M. S. El Naschie, “A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory,” Journal of Quantum Information Science, Vol. 3, No. 1, 2013, pp. 23-26. http://dx.doi.org/ 10.4236/jqis.2013.31006
[5]M. S. El Naschie, “A Review of E Infinity Theory and the Mass Spectrum of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 19, No. 1, 2004, pp. 209-236. http://dx.doi.org/10.1016/ S0960-0779(03)00278-9
[6]A. Elokaby, “Knot Wormholes and the Dimensional Invariant of Exceptional Lie Groups and Stein Space Hierarchies,” Chaos, Solitons & Fractals, Vol. 41, No. 4, 2009, pp. 1616-1618.
http://dx.doi.org/10.1016/j.chaos.2008.07.003
[7]P. S. Addison, “Fractals and Chaos. An Illustrated Course,” IOP, Bristol, 1997. http://dx.doi.org/10. 1887/0750304006
[8]F. Diacu and P. Holmes, “Celestial Encounters—The Origins of Chaos and Stability,” Princeton University Press, Princeton, 1996.
[9]M. S. El Naschie, “A Fractal Menger Sponge Space-Time Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 2, 2013, pp. 107-121. http://dx.doi.org/10.4236/ijmnta.2013.22014
[10]M. S. El Naschie, “Quantum Entanglement: Where Dark Energy and Negative Gravity plus Accelerated Expansion of the Universe Comes from,” Journal of Quantum Information Science, Vol. 3, No. 2, 2013, pp. 57-77. http://dx.doi.org/10.4236/jqis.2013.32011
[11]A. Connes, “Noncommutative Geometry,” Academic Press, New York, 1994.
[12]J. Bellissard, “Chapter 12: Gap Labeling Theorems for Schrodinger Operators,” In: M. Waldschmidt, P. Monsa, J. Luck and C. Itzykon, Eds., From Number Theory to Physics, Springer, Berlin, 1992.
[13]G. Landi, “An Introduction to Noncommutative Space and Their Geometries,” Springer, Berlin, 1997.
[14]L. Marek-Crnjac, M. S. El Naschie and J.-H. He, “Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1A, 2013, pp. 78-88. http://dx.doi.org/10.4236/ijmnta.2013.21A010
[15]M. S. El Naschie and J.-H. He, “Fractal Hilbert Space as the Geometry of Quantum Mechanical Entanglement,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, No. 1, 2012, p. 41.
[16]M. S. El Naschie, “Towards a General Transfinite Set Theory for Quantum Mechanics,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, No. 2, 2012, pp. 135-142.
[17]M. S. El Naschie, J.-H. He, S. Nada, L. Marek-Crnjac and M. Atef Helal, “Golden Mean Computer for High Energy Physics,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, No. 2, 2012, pp. 80-92.
[18]J.-H. He and M. S. El Naschie, “On the Monadic Nature of Quantum Gravity as a Highly Structured Golden Ring Spaces and Spectra,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, No. 2, 2012, p. 94.
[19]M. S. El Naschie and J.-H. He, “The Fractal Geometry of Quantum Mechanics Revealed,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 1, No. 1, 2011, p. 3.
[20]M. S. El Naschie and S. Olsen, “When Zero Is Equal to One: A Set Theoretical Resolution of Quantum Paradoxes,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 1, No. 1, 2011, p. 11.
[21]M. S. El Naschie and O. E. Rossler, “The Zero Measure Fractal Ghost inside Quantum Mechanics,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 2, No. 1, 2012, p. 56.
[22]J.-H. He, T. Zhong, L. Xu, L. Marek-Crnjac, S. Nada and M. Atef Helal, “The Importance of the Empty Set and Noncommutative Geometry in Underpinning the Foundations of Quantum Physics,” Nonlinear Science Letters B, Vol. 1, No. 1, 2011, p. 15.
[23]M. S. El Naschie, “Quantum Collapse of Wave Interference Pattern in the Two-slit Experiment: A Set Theoretical Resolution,” Nonlinear Science Letters B, Vol. 2, No. 1, 2011, p. 1.
[24]M. S. El Naschie, L. Marek-Crnjac, J.-H. He and M. Atef Helal, “Computing the Missing Dark Energy of a Clopen Universe which Is Its Own Multiverse in Addition to Being Both Flat and Curved,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, No. 1, 2013, p. 3.
[25]T. Zhong and J.-H. He, “El Naschie’s Resolution of the Mystery of Missing Dark Energy of the Cosmos via Quantum Field Theory in Curved Spacetime,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, No. 1, 2013, p. 46.
[26]M. S. El Naschie, “Dark Energy from Kaluza-Klein Spacetime and Noether’s Theorem via Lagrangian Multiplier Method,” Journal of Modern Physics, Vol. 4, No. 6, 2013, pp. 757-760. http://dx.doi.org/ 10.4236/jmp.2013.46103
[27]M. S. El Naschie, “Topological-Geometrical and Physical Interpretation of the Dark Energy of the Cosmos as a “Halo” Energy of the Schrodinger Quantum Wave,” Journal of Modern Physics, Vol. 4, No. 5, 2013, pp. 591-596. http://dx.doi.org/10.4236/jmp.2013.45084
[28]M. S. El Naschie, “The Quantum Gravity Immirzi Parameter—A General Physical and Topological Interpretation,” Gravitation and Cosmology, Vol. 19, No. 3, 2013, pp. 151-155. http://dx.doi.org/ 10.1134/S0202289313030031
[29]S. Krantz and H. Parks, “Geometric Integration Theory,” Birkhauser, Boston, 2008.
http://dx.doi.org/10.1007/978-0-8176-4679-0
[30]R. Penrose, “The Road to Reality,” Johnathan Cape, London, 2004.
[31]L. Hardy, “Nonlocality for Two Particles without Inequalities for Almost All Entangled States,” Physical Review Letters, Vol. 71, No. 11, 1993, p. 1665-1668. http://dx.doi.org/10.1103/PhysRevLett.71.1665
[32]P. Kwiat and L. Hardy, “The Mystery of the Quantum Cakes,” American Journal of Physics, Vol. 68, No. 1, 2000, p. 33. http://dx.doi.org/10.1119/1.19369
[33]N. D. Mermin, “Quantum Mysteries Refined,” American Journal of Physics, Vol. 62, No. 10, 1994, p. 880. http://dx.doi.org/10.1119/1.17733
[34]E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of Dark Energy,” arXiv: hep-th/ 0603057V3, 2006. http://arxiv.org/pdf/hep-th/0603057
[35]S. Perlmutter, et al., “Supernova Cosmology Project Collaboration,” The Astrophysical Journal, Vol. 517, No. 2, 1999, p. 565. http://dx.doi.org/10.1086/307221
[36]M. S. El Naschie, “A Remark on the Cosmic Microwave Background Radiation and the Hausdorff Dimension of Spacetime,” Chaos, Solitons & Fractals, Vol. 10, No. 11, 1999, pp. 1807-1811.
http://dx.doi.org/10.1016/S0960-0779(99)00008-9
[37]M. S. El Naschie, “Derivation of the Threshold and Absolute Temperature Tc = 273.16 K from the Topology of Quantum Space-Time,” Chaos, Solitons & Fractals, Vol. 14, No. 7, 2002, pp. 1117-1120. http://dx.doi.org/10.1016/S0960-0779(02)00053-X
[38]M. S. El Naschie, “Cobe Satellite Measurement, Hyperspheres, Superstrings and the Dimension of Spacetime,” Chaos, Solitons & Fractals, Vol. 9, No. 8, 1998, pp. 1445-1471. http://dx.doi.org/10. 1016/S0960-0779(98)00120-9
[39]M. S. El Naschie, “Fuzzy Multi-Instanton Knots in the Fabric of Space-Time and Dirac’s Vacuum Fluctuation,” Chaos, Solitons & Fractals, Vol. 38, No. 5, 2008, pp. 1260-1268. http://dx.doi.org/10. 1016/j.chaos.2008.07.010
[40]M. S. El Naschie, “Fractal Black Holes and Information,” Chaos, Solitons & Fractals, Vol. 29, No. 1, 2006, pp. 23-35. http://dx.doi.org/10.1016/j.chaos.2005.11.079
[41]M. S. El Naschie, “Knots and Exceptional Lie Groups as Building Blocks of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 41, No. 4, 2009, pp. 1799-1803. http://dx.doi.org/10.1016/ j.chaos.2008.07.025
[42]M. S. El Naschie, “Arguments for the Compactness and Multiple Connectivity of Our Cosmic Spacetime,” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2787-2789. http://dx.doi.org/10. 1016/j.chaos.2008.10.011
[43]M. S. El Naschie, “Transfinite Neoimpressionistic Reality of Quantum Spacetime,” New Advances in Physics, Vol. 1, No. 2, 2007, p. 111.
[44]J. Mageuijo and L. Smolin, “Lorentz Invariance with an Invariant Energy Scale,” arXiv: hep-th/0112090V2, 2001. http://arxiv.org/pdf/hep-th/0112090
[45]T. Zhong, “From the Numerics of Dynamics to the Dynamics of Numerics and Visa Versa in High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 42, No. 3, 2009, pp. 1780-1783.
http://dx.doi.org/10.1016/j.chaos.2009.03.079
[46]M. S. El Naschie, “Determining the Temperature of the Microwave Background Radiation from the Topology and Geometry of Spacetime,” Chaos, Solitons & Fractals, Vol. 14, No. 7, 2002, pp. 1121-1126. http://dx.doi.org/10.1016/S0960-0779(02)00172-8
[47]M. S. El Naschie, “On the Vital Role Played by the Electron-Volt Units System in High Energy Physics and Mach’s Principle of ‘Denkokonomie’,” Chaos, Solitons & Fractals, Vol. 28, No. 5, 2006, pp. 1366-1371. http://dx.doi.org/10.1016/j.chaos.2005.11.001
[48]M. S. El Naschie, “Holographic Dimensional Reduction: Center Manifold Theorem and E-Infinity,” Chaos, Solitons & Fractals, Vol. 29, No. 4, 2006, pp. 816-822. http://dx.doi.org/10.1016/j.chaos. 2006.01.013
[49]M. S. El Naschie, “Modular Groups in Cantorian E(∞) High-Energy Physics,” Chaos, Solitons & Fractals, Vol. 16, No. 2, 2003, pp. 353-366. http://dx.doi.org/10.1016/ S0960-0779(02)00440-X
[50]M. S. El Naschie, “Quantum Loops, Wild Topology and Fat Cantor Sets in Transfinite High-Energy Physics,” Chaos, Solitons & Fractals, Vol. 13, No. 5, 2002, pp. 1167-1174. http://dx.doi.org/10. 1016/S0960-0779(01)00210-7
[51]M. S. El Naschie, “Wild Topology, Hyperbolic Geometry and Fusion Algebra of High Energy Particle Physics,” Chaos, Solitons & Fractals, Vol. 13 No. 9, 2002, pp. 1935-1945. http://dx.doi.org/10.1016/ S0960-0779(01)00242-9
[52]A. Pais, “Subtle Is the Lord: The Science and Life of Albert Einstein,” Oxford University Press, Oxford, 1982.
[53]J. H. He and M. S. El Naschie, “On the Shoulders of Giants,” Fractal Space-Time and Non-Commutative Geometry in High Energy Physics, Vol. 3, No. 1, 2013, p. 59.
[54]A. Gefter, “Mind-Bending Mathematics: Why Infinity Has to Go,” New Scientist, Vol. 219, No. 2930, 2013, pp. 32-35. http://dx.doi.org/10.1016/S0262-4079(13)62043-6
[55]M. S. El Naschie, “The Theory of Cantorian Spacetime and High Energy Particle Physics (An Informal Review),” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2635-2646. http://dx.doi.org/10. 1016/j.chaos.2008.09.059
[56]R. Elwes, “Ultimate Logic,” New Scientist, Vol. 211, No. 2823, 2011, pp. 30-33. http://dx.doi.org/ 10.1016/S0262-4079(11)61838-1
[57]J. H. He and L. Marek-Crnjac, “Mohamed El Naschie’s Revision of Albert Einstein’s E = m0c2: A Definite Resolution of the Mystery of the Missing Dark Energy of the Cosmos,” International Journal of Modern Nonlinear Theory and Application, Vol. 2, No. 1, 2013, pp. 55-59. http://dx.doi.org/10. 4236/ijmnta.2013.21006
[58]M. S. El Naschie, “Superstrings, Knots, and Noncommutative Geometry in E(∞) Space,” International Journal of Theoretical Physics, Vol. 37, No. 12, 1998, pp. 2935-2951. http://dx.doi.org/10.1023/ A:1026679628582
[59]S. Chattopadhyay and A. Pasqua, “Various Aspects of Interacting Modified Holographic Ricci Dark Energy,” Indian Journal of Physics, Vol. 87, No. 10, 2013, pp. 1053-1057.
[60]S. Kalita, H. L. Duorah and K. Duorah, “Late Time Cosmic Acceleration of a Flat Matter Dominated Universe with Constant Vacuum Energy,” Indian Journal of Physics, Vol. 84, No. 6, 2013, p. 629.
[61]M. S. El Naschie, “The Missing Dark Energy of the Cosmos from Light Cone Topological Velocity and Scaling of the Planck Scale,” Open Journal of Microphysics, Vol. 3, No. 3, 2013, pp. 64-70. http://dx.doi.org/10.4236/ojm.2013.33012
[62]E. Goldfain, “On a Possible Evidence for Cantorian Space-Time in Cosmic Ray Astrophysics,” Chaos, Solitons & Fractals, Vol. 20, No. 3, 2004, pp. 427-435. http://dx.doi.org/10.1016/j.chaos.2003.10.012
[63]G. N. Ord, “Quantum Mechanics in a Two-Dimensional Spacetime: What Is a Wave Function?” Annals of Physics, Vol. 324, 209, 2004, p. 1211.
[64]M. S. El Naschie, “‘t Hooft Ultimate Building Blocks and Space-Time as an Infinite Dimensional Set of Transfinite Discrete Points,” Chaos, Solitons & Fractals, Vol. 25, No. 3, 2005, pp. 521-524.
http://dx.doi.org/10.1016/j.chaos.2005.01.022
[65]A. Elokaby, “On the Deep Connection between Instantons and String States Encoder in Klein’s Modular Space,” Chaos, Solitons & Fractals, Vol. 42, No. 1, 2009, pp. 303-305.
http://dx.doi.org/10.1016/j.chaos.2008.12.001
[66]G. Iovane and S. I. Nada, “Strange Non-Dissipative and Non-Chaotic Attractors and Palmer’s Deterministic Quantum Mechanics,” Chaos, Solitons & Fractals, Vol. 42, No. 1, 2009, pp. 641-642. http://dx.doi.org/10.1016/j.chaos.2008.11.024
[67]J. H. He, E. Goldfain, L. D. Sigalotti and A. Mejias, “Beyond the 2006 Physics Nobel Prize for COBE,” China Culture & Scientific Publishing, Shanghai, 2006.
[68]M. S. El Naschie, “The Hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy,” Journal of Modern Physics, Vol. 4, No. 3, 2013, pp. 354-356. http://dx.doi.org/10.4236/jmp.2013.43049
[69]D. R. Finkelstein, “Quantum Relativity,” Springer, Berlin, 1996. http://dx.doi.org/10.1007/978-3-642-60936-7
[70]C. Rovelli, “Quantum Gravity,” Cambridge Press, Cambridge, 2004. http://dx.doi.org/10.1017/ CBO9780511755804
[71]Y. Gnedin, A. Grib and V. Matepanenko, “Quantum Gravity,” Proceedings of the Third Alexander Friedmann Int. Seminar on Gravitation and Cosmology, Friedmann Lab. Pub., St. Petersberg, 1995.
[72]A. Vileukin and E. Shellard, “Cosmic Strings and Other Topological Defects,” Cambridge University Press, Cambridge, 2001.
[73]M. S. El Naschie, “On the Uncertainty of Cantorian Geometry and the Two-Slit Experiment,” Chaos, Solitons & Fractals, Vol. 9, No. 3, 1998, pp. 517-529. http://dx.doi.org/10.1016/S0960-0779(97) 00150-1
[74]M. A. Helal, L. Marek-Crnjac and J.-H. He, “The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology,” Open Journal of Microphysics, Vol. 3, No. 4, 2013.
[75]M. S. El Naschie, “A Note on Quantum Gravity and Cantorian Spacetime,” Chaos, Solitons & Fractals, Vol. 8, No. 1, 1997, pp. 131-133. http://dx.doi.org/10.1016/S0960-0779(96)00128-2
[76]V. Adrian Parsegian, “Van der Waals Forces,” Cambridge University Press, Cambridge, 2006.
[77]L. Graham and J. Kantor, “Naming Infinity,” Harvard University Press, Cambridge, 2009.
[78]M. Persinger and C. Lavellee, “Theoretical and Experimental Evidence of Macroscopic Entanglement between Human Brain Activity and Photon Emission,” Journal of Consciousness Exploration & Research, Vol. 1, No. 7, 2010, pp. 785-807.
[79]S. Vrobel, “Fractal Time,” World Scientific, Singapore, 2011.
[80]G. Casati, I. Guarneri and U. Smilansky, “Caos Quantico,” Proceedings of the International School of Physics “Enrico Fermi”, Amsterdam, 1993.
[81]L. Nottale, “Scale Relativity and Fractal Spacetime,” Imperial College Press, London, 2011.
[82]L. Susskind and J. Lidesay, “Black Holes, Information and the String Theory Revolution,” World Scientific, Singapore, 2010.
[83]M. S. El Naschie, “Nash Embedding of Witten’s M-Theory and the Hawking-Hartle Quantum Wave of Dark Energy,” Journal of Modern Physics, Vol. 4, No. 10, 2013, pp. 1417-1428.
Posted by at No comments:
Subscribe to: Posts (Atom)