space unit and clock unit – stretching and shrinking

From the static time field frequncy equation, we can derivate that the length of the most fundamental or smallest indivisible unit of space and time at a local point – space unit length d_s and clock unit length t_s can change for they are local variants not constants.

1. the change of space unit length d_s

f_s=f_p*A*B, then

f_s=f_g*f_v/f_p, then

f_s^2=f_g^2*f_v^2/f_p^2, then

f_s^2=f_g^2*f_p^2*(1-v^2/c^2)/f_p^2, then

f_s^2+f_g^2*v^2/c^2=f_g^2, then

f_s^2+v^2/(c/f_g)^2=f_g^2, then

d_s=c/f_g =c/f_p*f_p/f_g=d_p*f_p/f_g=d_p/A

d_s=d_p/A is exactly same as the stretching of proper distances in GR.

The equation above can be called space unit length equation of static time field, in which

d_s is the length of the most fundamental or smallest indivisible unit of space at a local point, which the space speed is traveling on to form space speed frequency F_v,

d_p is Planck length,

d_s = d_p only when f_g=f_p which means that the local point has 0 gravitation,

d_s becomes bigger or longer when there is bigger gravitation at the local point.

2. the change of clock unit length t_s

t_s=1/f_s

So when at a local point the static time field frequency f_s or local clock rate is changing, the length of the most fundamental or smallest indivisible unit of time of the local point is changing accordingly too.

3. d_s and object length are related but conceptually distinct, and change of d_s doesnt change object length directly

When I first realized d_s can change according to f_g, I mistakenly thought that this would make object shorter, until later Grok helped me figure out that the change of d_s – space unit length at a local point doesnt incur the change of length of an object at the point because they are different although related and depending on f_g in different mechanisms.

The change of d_s doesnt change object length directly, just like the change of length unit of a ruler wont change the length of a measured object.

Just as Grok said: the change of d_s and the change of object length are corresponding to GR’s stretching of proper distances and change of measurement of object lengths respectively, in which d_s and object length are related but conceptually distinct.

4. some explanation about static time concept

Static time field is static or fixed at a point of dynamic time and so called static, which is like a fixed 4D movie, and fixed static time includes both certaion and uncertain parts of past, NOW and possible futures. When 4D static time moves along the dynamic time into future, 4D static time dimension will evolve along with the 3D NOW intersection moves along the static time dimension into possible future.