User talk:Xoet4

Given x^3+y^3+z^3=r^3 with the many unique whole number solutions found by iteration of the values through the whole numbers (starting with 3, 4, 5, 6 as the first solution) in a simple nested for loop program leads me to consider the fact that a^2+b^2=c^2 is only a two dimensional representation of the three space and we have been lead astray from the real dimensions of three space applying only an extension of two space into three space with three space having a more complex reality. knowing this lead me to consider three space in a different light, lead me to consider the foundations of calculus and differentiation to be two dimensional, lead me to think that G^uv is only two dimensional(G^uvw?), lead me to the point that three space can not be seen from two points but needs to be seen in three dimensions and two eyes can not do this. So this is why I seek your help in understanding if x^3+y^3+z^3=r^3 defines a new reality of three dimensions or level of systems of equations where integration goes between three end points rather than the two in a series of three groups for solving solid volume spaces. We have studied the square root of two now do we need to study the cube root of three? All trigonometry is based on a^2+b^2=c^2 and all matrixes on paper are two dimensional what of solid Matrixes, Fields. All my studies of Fields leads to them being treated as an extension of two space but I think we need to invent three space calculus that solves the problems in a three fold direction of the whole. Zero point is one space with its location on a line in one space, two space is the a b axis with points a and b have the distance between them defined as the square root of two where a and b is the unit distance from the zero point then three would be the cube root of x^3+y^3+z^3 as the distance between the zero point and the three space location. I know space is considered grid like and box coordinates easily disproves this theory but space is curved. That has been proven. and at small distances one can substitute the square root for the cube root and the squaring in place of the cubing but as distances grow beyond what we can hold a ruler to the field takes on new dynamics. I guess I was just upset when partial differential equations only considers two variables at a time when the three or more variables should have postulates directly related to that form of differentiation. I was looking for something more comprehensive.