Weinberg-Salam parameter and time axis

[AntonioLao]

The Weinberg-Salam parameter [math]sin^2\theta[/math] for electroweak unification gives a mixing angle indicating the angular distance between the positive and negative time axes using the following trigonometric identity

[math] sin^2\theta \equiv 1-cos^2\theta[/math]

And the particular optimizing value happens to be 90 degrees. This indicates that the dual time axes (positive and negative) for each particle found in spacetime are orthogonal. This suggests that, in conformation to the geometry of a light cone, the so called negative time axis corresponds to the one dimensional space axis.

Strictly speaking, from the quantization of spacetime viewpoint, there exist two intrinsic angles derivable from the square of energy.

[math]E^2=\vert \psi_1\psi_2\phi_1\phi_2\vert sin\theta_1 sin\theta_2[/math]

Furthermore, the three congruences of (1) [math]\theta_1 \cong \theta_2 [/math], (2) [math]\psi_1 \cong \psi_2 [/math], and (3) [math]\phi_1 \cong \phi_2 [/math] establish the consistency between [math]E^2[/math] and Weinberg-Salam parameter of [math]sin^2\theta[/math]. However, only congruence 1 is necessary. Nevertheless, when [math] \vert \psi_1\psi_2\phi_1\phi_2\vert = 1 [/math], implying [math] \psi_1 = \frac{1}{\psi_2}[/math] and [math]\phi_1 = \frac{1}{\phi_2} [/math], the Weinberg-Salam parameter is equivalent to the square of energy.

[Guille]

I know you alreadt told me once in another thread, but:

What does the v with a slash stand for?

[AntonioLao]

What does the v with a slash stand for?

In quantum mechanics, it's the symbol for a wave function. In my research, I used it to symbolize the fundamental infinitesimal length or metric or distance. The other symbol (circle with a slash) is used in quantum mechanics for linear momentum. For me, it's the symbol of fundamental orthogonal forces independent of time.

[Guille]

forces independent of time.

This sentence doesn't make sense for me, can you explain?

[AntonioLao]

This sentence doesn't make sense for me, can you explain?

If the same force can be made orthogonal to itself then the vector product is zero and the force disappears. However, the scalar product of the same force is a maximum, meaning the force is interacting at its full strength. At minimum force time is motionless, at maximum force time is in motion, which direction it is moving depends on the configuration of the universe we are in, expanding or contracting.

[Guille]

If the same force can be made orthogonal to itself then the vector product is zero and the force disappears. However, the scalar product of the same force is a maximum, meaning the force is interacting at its full strength. At minimum force time is motionless, at maximum force time is in motion, which direction it is moving depends on the configuration of the universe we are in, expanding or contracting.

Thanks for the extension.

Do you mean minimum force as in colsest possible to 0 and maximum force colsest possible to infinity?

[AntonioLao]

Yes. However, it can never reaches zero nor reaches infinity. The time axes can only align themselves partially, oppositely, totally, completely, randomly, or chaotically.

[Guille]

Yes. However, it can never reaches zero nor reaches infinity. The time axes can only align themselves partially, oppositely, totally, completely, randomly, or chaotically.

It looks like all the things I know about in the universe can enter in any of those six description. Actually in five.
What is the difference between totally and completely?

[AntonioLao]

What is the difference between totally and completely?

Totally means everything -- all the time axes. Completely means the alignment angle is exactly zero not 0.00000001 or any chosen epsilon value.

[Guille]

Totally means everything -- all the time axes. Completely means the alignment angle is exactly zero not 0.00000001 or any chosen epsilon value.

Thanks for clarifying.

Does partially means "part of A is bla" or "A is part of bla" or "A has parts bla"?