In the last decade, the need to arrive at a Grand Unification Theory (GUT) has become more and more pressing, being able to open a new matter and universe knowledge. However, the difficulty arises from the fact that new particle discovery shall not resolve the conflict between the various main forces; that is the gravitation and quantum-relativistic theories. It is evident that new players must enter the scene together with extraordinary innovations from a conceptual point of view as they had already been shown in history when the revolutionary Newton and Einstein theories came into the scene. The study presents an attempt to make a connection between quantum1 [1] physics and relativistic theories2 [2] through the introduction of a new item from the peculiar concept of “precursive time”. The analysis was carried out starting from the plausible hypothesis that the time component is the subject of “curvature” as a result of the interaction. For the representation of the model, the geometry of the hypersphere has been applied, which resolves correlations between the imaginary temporal level, devoid of vector coordinates, and the four-dimensional M4 plane.
References
[1]
Planck, M. (1901) Quantum Field Theory. Annals of Physics, 309, 553-632.
[2]
Einstein, A. (1916) Annalen Der Physik - VierteFolge Band 49 Die Grundelage der allgemeinen Relativitatstheorie.
[3]
Einstein, A. (1915) Die Feldgleichungen der Gravitation. Sitzungsberichte der Preussischen Akademie der Wissenschaftenzu Berlin: 844-847.
[4]
Selleri, F. (1990) Special Relativity as a Limit of Ether Theories. INFN, Bari.
[5]
Sokolowski, L.M. (2002) Quantum Spacetime and the Problem of Time in Quantum Gravity. H. Eilstein, Academy of Science, Warsaw.
[6]
Jost, Jürgen (2011) Riemannian Geometry and Geometric Analysis. Springer-Verlag, Berlin.
[7]
Rothman, T. and Boughn, S. (2006) Can Gravitons Be Detected? http://arxiv.org/pdf/gr-qc/0601043.pdf
[8]
Kaku, M. (2006) Parallel Worlds—The Science of Alternative Universes and Our Future in the Cosmos. London.
[9]
Ellis, G.F.R. and Williams, R.M. (2000) Flat and Curved Space-Times. Oxford University Press, New York.
[10]
ALorentz, H., Einstein, A., Minkowski, H. and Weyl, H. (1952) The Principle of Relativity: A Collection of Original Memoirs. Dover.
[11]
Walter, S. (1999) Mathematics of Minkowski Space. Frontiers in Mathematics. Basel, Switzerland. Birkhäuser Verlag.
[12]
Heffner, H. and Louisell, W.H. (1965) Transformation Having Applications in Quantum Mechanics. Journal of Mathematical Physics, 6, 474. http://dx.doi.org/10.1063/1.1704297
[13]
Guven, J., Santiago, J.A. and Vázquez-Montejo, P. (2013) Confining Spheres within Hypersphere. Cornell University Library. http://arxiv.org/abs/1209.3845
[14]
Conway, J. and Smith, D. (2003) On Quaternions and Octonions. A K Peters, Wellesley.
[15]
Prigogine, I. and Stengers, I. (1997) The End of Certainty. The Free Press, New York.