A Fractal Menger Sponge Space-Time Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy

Show more

References

[1] E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of Dark Energy,” 2006.

[2] L. Amendola and S. Tsujikawa, “Dark Energy: Theory and Observations,” Cambridge University Press, Cambridge, 2010. doi:10.1017/CBO9780511750823

[3] S. Perlmutter, et al., “Supernova Cosmology Project Collaboration. Measurements of Omega and Lambda from 42 High-Redshift Supernova,” The Astrophysical Journal, Vol. 517, 1999, pp. 565-585.
doi:10.1086/307221

[4] B. Mandelbrot, “The Fractal Geometry of Nature,” Freeman, San Francisco, 1982.

[5] M. S. El Naschie, “Elementary Prerequisites for E-Infinity,” Chaos, Solitons & Fractals, Vol. 30, No. 3, 2006, pp. 579-605. doi:10.1016/j.chaos.2006.03.030

[6] 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.
doi:10.4236/ijmnta.2012.14018

[7] 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.
doi:10.1016/S0960-0779(03)00278-9

[8] M. S. El Naschie, “Quantum entanglement as a Consequence of a Cantorian Micro Space-Time Geometry,” Journal of Quantum Information Science, Vol. 1, No. 2, 2011, pp. 50-53. doi:10.4236/jqis.2011.12007

[9] W. Rindler, “Relativity, Special, General and Cosmological,” Oxford Press, Oxford, 2004.

[10] J.-P. Hsu and L. Hsu, “A Broad View of Relativity,” World Scientific, Singapore, 2006.

[11] L. Hardy, “Non-Locality of Two Particles without Inequalities for Almost All Entangled States,” Physical Review Letters, Vol. 71, No. 11, 1993, pp. 1665-1668.
doi:10.1103/hysRevLett.71.1665

[12] D. Joyce, “Compact Manifold with Special Holonomy,” Oxford Press, Oxford, 2003.

[13] M. S. El Naschie, “On Two New Fuzzy Kahler Manifolds, Klein Modular Space and ’t Hooft’s Holographic Principles,” Chaos, Solitons & Fractals, Vol. 29, No. 4, 2006, pp. 876-881. doi:10.1016/j.chaos.2005.12.027

[14] J. Polchinski, “String Theory,” Cambridge University Press, Cambridge, 1998.

[15] M. Duff, “The World in Eleven Dimensions,” IOP Publishing, Bristol, 1999.

[16] S. Hendi and M. Sharifzadeh, “Special Relativity and the Golden Mean,” International Journal of Theoretical Physics, Vol. 1, No.1, 2012, pp. 37-45.

[17] W. Koiter, “Elastic Stability and Post Buckling Behavior in Nonlinear Problems,” University of Wisconsin Press, Madison, 1963, pp. 257-275.

[18] M. S. El Naschie, “Stress, Stability and Chaos in Structural Engineering,” McGraw Hill, London, 1990.

[19] E. Cosserat and F. Cosserat, “Theorie des Corps Deformable,” Paris, 1909.

[20] D. Horrocks and W. Johnson, “On Anticlastic Curvature with Special Reference to Plastic Bending,” International Journal of Mechanical Sciences, Vol. 9, No 12, 1967, pp. 835-861. doi:10.1016/0020-7403(67)90011-2