ARE THETA FUNCTIONS THE FOUNDATIONS OF PHYSICS ?
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 11, Issue 10
Abstract
The Jacobi theta functions are essentially rotations in a complex space and as such provide a basis for the lattices of the exceptional Lie algebras E6;E8 in complex 3-space and complex 4-space.In this note we will show that a choice of the nome q of the theta functions θE6 ;,θE8 leads to the equilateral tritangents of these lattices. Speciffcally we will find quarter period ratios of the real and complex axes. In particular E8 is isomorphic to the binary icosahedral group shown recently to describe Elementary Particle theory and Quantum Gravity so q is fundamental to the structure of space itself.
Authors and Affiliations
J. A. de Wet
Keywords
Related Articles
- EP ID EP651649
- DOI 10.24297/jam.v11i10.802
- Views 164
- Downloads 0
The Moment Problem in Hypercomplex Systems
This paper is devoted to give the necessary and sufficient conditions guarantees that the product of two generalized moment functions defined in a hypercomplex system L1(Q,m) is also generalized moment function in L1(Q,m...
Optimal Control of a Fractional Diffusion Equation with Delay
We study a homogeneous Dirichlet boundary fractional diffusion equation with delay in a bounded domain. The fractional time derivative is considered in the left Caputo sense. By means of a linear continuous ope...
PARAMETERS EFFECTS ON CONDUCTION-CONVECTION HEAT TRANSFER IN RECTANGULAR ENCLOSURE SANDWICHED BY FINITE THICKNESS WALLS
The effect of wall heat conduction on natural convection heat transfer in cavities has gained attention of many researchers in recent years due to its wide application areas in engineering such that building heating and...
Matrices of inversions for permutations: Recognition and Applications
This work provides a criterion for a binary strictly upper triangle matrices to be a matrix of inversions for a permutation. It admits an invariant matrices for permutations to being well recognizable. Then it provides a...
New modifications of Newton-type methods with eighthorder convergence for solving nonlinear equations
The aims of this paper are, firstly, to define a new family of the Thukral and Petkovic type methods for finding zeros of nonlinear equations and secondly, to introduce new formulas for approximating the order of co...