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ATMath > Volume 2 > Icosahedral Symmetry and Quantum Gravity
Icosahedral Symmetry and Quantum Gravity
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Icosahedral Symmetry and Quantum Gravity

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Abstract:

In this note we will show that Theta functions are a solution of the icosahedron equation and also a solution of the Ernst equation for the stationary axisymmetric case of Einstein’s gravitational equation.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 2)
Pages:
33-34
DOI:
https://doi.org/10.18052/www.scipress.com/ATMath.2.33
Citation:
J.A. de Wet, "Icosahedral Symmetry and Quantum Gravity", Advanced Trends in Mathematics, Vol. 2, pp. 33-34, 2015
Online since:
March 2015
Authors:
J.A. de Wet
Keywords:
Gravity, Icosahedron, Jacobi Theta Functions, Riemann Surfaces
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Sundance O. Bilson-Thompson, Fotini Markopoulo and Lee Smolin, Quantum Gravity and the Standard Model, online, June(2014).

J.H. Conway and N.J. A, Sloane, Sphere Packings, Lattices and Groups, Third Ed., Springer(1993).

H.S.M. Coxeter, Regular Complex Polytopes, Camb. Univ. Press, Second Ed. (1991).

J.A. de Wet, Icosahedral Supersymmetry, online, Published by Int. Soc. of Frontier Science, Oct. (2014).

J. A. De Wet, A Standard Model Algebra, Int. Mathematical Forum, v8, (2013) 111-1117, HIKARI Ltd. http: /dx. doi. org/10. 12988/imf. 2013. 3477.

Felix Klein, Lectures on the Icosahedron, Dover(2003).

D.A. Korotkin, Elliptic solutions of stationary axisymmetric Einstein equation, Class. Quantum Grav. 10(1993)2587-2613.

C. Klein,D. Korotkin and V. Shramchenko, Ernst equation, Fay identities and variatinal formulas on hyperelliptic curves, arxiv: math- phys/0401055v1(2008).

Roger Penrose, The Emperor's New Mind. Oxford Univ. press (1989).

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