Sunday, March 27, 2016

the bidimensional complex numbers nature of world

Wondered why modern physics uses bidimensional complex numbers fourier transforms and waves probability bidimensional complex density functions.( why not one dimension, or 3,4 ?).
In fact it is due to the mathematical property that any function f(t) f(x) or f(x,y,z,t) can be decomposed as a sum of cos cosinus and sin sinus , which can be described as a sum of harmonics : cosinus with amplitude and phase (2 dimensions) for each frequency ,  amplitude*cos(twopi*frequency*t +phase)  which is fourier sum.
And so the nature of world is due to maths.