vacuum compressibility

[AntonioLao]

Then, why is it so dificult for scientists to unify QM and GR/ER? and create TOE.

QM is a linearized discrete theory, while GR is a continuous nonlinear theory. But QM as in QED and QCD are really the combined theories of Schrodinger's wave mechanics and Einstein's special relativity.

[AntonioLao]

Yes linear time 't' appears to approach '0'

for scalar time t1 and t2, the following is always true if we defined a unit scalar of time as [math]\ddot{t}[/math] such that

[math]t_1 t_2 = (t_1 - t_2) \ddot{t}[/math]

this also implies that t1 and t2 can also be interpreted as rational functions excluding the value of zero at infinity since no infinite series expansion is used.

[AntonioLao]

quanta07,
the two given rational functions are as follows

[math]t_1=\frac{t_2}{1-t_2}[/math]

and

[math]t_2=\frac{t_1}{1+t_1}[/math]

[AntonioLao]

Are these functions contiuous or not continuous..?

the graph of t1 as ordinate and t2 as abscissa has vertical asymptote at t2=1 and horizontal asymptote at t1 = -1. But the solutions can be restricted to the positive quandrant.

the graph of t2 as ordinate and t1 as abscissa has vertical asymptote at t1 = -1 and horizontal asymptote at t2=1 and again it is practical to limit positive solutions to the positive quandrant.

in any case, neither t1 or t2 ever reaches the exact value of 1 and the simultaneous solution of (0,0) happens if and only if both t1 and t2 are zero. If these are physical quantities then (0,0) is the singularity and can never be reached. Therefore (0,0) becomes the discontinuity between two dimensional levels of existence.

I used this logic in order to create matrices with no zeros elements similar to Hadamard matrices. The products of these square matrices give masses and the sum of these matrices give space charges.

see more about Hadamard matrices at
http://mathworld.wolfram.com/HadamardMatrix.html