static time field frequency equations – refined derivation

Last updated on March 26, 2026

I just did the deviraton of static time field frequency equations under help of Grok and Gemini, which may make the equations clearer and also found some interesting steps as below.

1. static time field potential energy equation

Sm*f_g=mc^2(1-2GM/c^2*r)^(1/2)

S=c^2/f_p, in which, S is static time potential energy constant, c is light speed constant, f_p is Planck frequency constant.

f_g is static time gravitational frequency, which means the static time field frequency of an object of 0 space speed at a point in a gravitational field.

Previously it’s Sm(f1-f2)=E1-E2, which is difference of total potential energy of an static object between a point with static time gravitional frequency f1 and another ponit with static time gravitional frequency f2.

Now make it simpler as Smf_g=E_g, which meas the total potential energy of an static object at a point with static time gravitional frequency f_g.

This new name moves the position of “field” to keep consistent with static time field frequency equations.

2. static time field frequency equations

2.1) static time field gravition frequency equation

f_g=f_p*(1-2GM/c^2*r)^(1/2)

f_p is Planck frequency constant.

This equation can be derivated from static time field potential energy equation above.

2.2) static time field space speed frequency equation

f_v=f_p*(1-v^2/c^2)^(1/2)

f_v is the static time space speed frequency, which is the static time field frequency of an object with space speed = v at a point of 0 gravitation.

This equation is derivated from:

f_v^2+F_v^2=f_p^2, then

f_v^2+v^2/d^2=f_p^2=c^2/d^2, then

f_v^2+f_p^2*v^2/c^2=f_p^2*c^2/c^2, then

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

f_v=f_p*(1-v^2/c^2)^(1/2).

F_v=v/d, is the frequency of space speed v traveling on Planck length d, and f_p=c/d, and d=c/f_p.

2.3) static time field frequency equation

f_s=f_p * (1-2GM/c^2*r)^(1/2) * (1-v^2/c^2)^(1/2)

f_s is static time field frequency of an object with speed v at a point in a gravitation field, which represents the local clock rate/time passing speed of the object at the point.

This formula can be derivated as below:

f_g=f_p*A,

f_v=f_p*B,

f_s/f_p=(f_g/f_p)*(f_v/f_p),

f_s=f_g*f_v/f_p,

f_s=f_p*A*B.

to get this derivation right to match GR’s math which is proven accurate until now, it’s obviously that f_g and f_v must be completely independent to each other, so we shall not put v and f_g into one right triangle to force them dependent to each other.

GR’s math is a marvalous miracle which makes this piece of work of static time feel like a missing deeper layer of GR which provides a more fundamental understanding and mechanism behind the math. Haha, now, the mathematics of static time is completely consistent with GR.

Anyway, static time can explain delayed-choice quantum eraser experiment (which GR + standard quantum mechanics cannot do cleanly) and is open to being compatible with many non-scientific human experiences and evidence that GR cannot explain. So static time is a worthy try.