dof, entropy, and LIM

[AntonioLao]

In TQS (theoretical quantum space-time), one fundamental assumption is that a local infinitesimal motion (LIM) exists. This is the localized oscillation of a space-time point in term of its zero-point angular frequency ω°. If ω°=0 then the minimum number of degrees of freedom (dof) is six. If ω°>0 then the minimum is eight. Macroscopically, the dof is unbounded and space-time approaches a continuum.

When dof=8 space-time is both mass and time independence. When dof=6 space-time is only time independence. When dof is greater than 8 then space-time is both time and mass dependence.

Using H+ and H-, the dofs are directed lines segments pointing outward or pointing inward. Ideally, all dofs point inward for H- and point outward for H+ as shown by the image below:



If entropy is related to ω° then since ω°≥ 0 implies that entropy can never be less than zero.

[mkirkpatrick]

In TQS (theoretical quantum space-time), one fundamental assumption is that a local infinitesimal motion (LIM) exists. This is the localized oscillation of a space-time point in term of its zero-point angular frequency ω°. If ω°=0 then the minimum number of degrees of freedom (dof) is six. If ω°>0 then the minimum is eight. Macroscopically, the dof is unbounded and space-time approaches a continuum.

When dof=8 space-time is both mass and time independence. When dof=6 space-time is only time independence. When dof is greater than 8 then space-time is both time and mass dependence.

Using H+ and H-, the dofs are directed lines segments pointing outward or pointing inward. Ideally, all dofs point inward for H- and point outward for H+ as shown by the image below:



If entropy is related to ω° then since ω°≥ 0 implies that entropy can never be less than zero.

But Antonio.is there anything less than zero!
kindest regards michael.

[AntonioLao]

is there anything less than zero!

Directionally speaking, yes as in positive and negative direction. Magnitude-wise, no. But financial institutions like banks and saving and loan, they allow your money accounts going below less than zero.

[mkirkpatrick]

Directionally speaking, yes as in positive and negative direction. Magnitude-wise, no. But financial institutions like banks and saving and loan, they allow your money accounts going below less than zero.

You are so right Antonio,but there is a hefty interest charged for the privilge.
kindest regards michael.

[AntonioLao]

but there is a hefty interest charged for the privilge.

And some hidden charges such as transaction fee, deposite/withdrawal fee, access fee, overnight fee, ATM fee, etc.

[Guille]

Antonio,

then as angular momentum is it means that the energy of a space-time quanta when a particle goes through it is times the distance interval. Is this equation (as it icludes the square of energy) in harmony with your equations?

[AntonioLao]

Is this equation...in harmony with your equations?

must be zero in order to establish time independence. Although it properly describes photons when they are not able to interact among themselves.