Obviously I dont have enough knowledge and more time to study deeper for static time equations, although I believe static\/dynamic time and digital\/analog dual layer is promising as this universe’s true time structure and underlying mechnism.<\/p>\n\n\n\n
So I list the equations that I can derivate here. And it’s done for me for now, haha, in which<\/p>\n\n\n\n
A=(1-2GM\/(c^2*r))^(1\/2),<\/p>\n\n\n\n
B=(1-v^2\/c^2)^(1\/2),<\/p>\n\n\n\n
Fixed exterior coordinate is flat, rectangular and symmetric across all this universe, with Plank length as its vitual metric unit and with one point in this universe as origin.<\/p>\n\n\n\n
1) static time potential energy equations<\/p>\n\n\n\n
This equation represents gravitational potential energy by frequency of local clock rate which is static time frequeny first in history, which is consisnt with GR’s math.<\/p>\n\n\n\n
Supposing the gravitational field potential energy E is proportional to gravity residual frequency f_g of static time excluding object speed, so:<\/p>\n\n\n\n
S*m_0*(f1-f2)=E1-E2, <\/p>\n\n\n\n
S*m_0*f_g=E.<\/p>\n\n\n\n
Supposing maximun gravitational field potential energy when gravity and object speed are 0 is corresponding to f_p, and for E=m_0*c^2*A, so:<\/p>\n\n\n\n
S*m_0*f_p=m_0*c^2, <\/p>\n\n\n\n
S=c^2\/f_p.<\/p>\n\n\n\n
So static time gravity residual frequency f_g is:<\/p>\n\n\n\n
f_g\/f_p=A or f_g=f_p*A.<\/p>\n\n\n\n
So static time gravity potential energy is:<\/p>\n\n\n\n
E=m_0*c^2*f_g\/f_p.<\/p>\n\n\n\n
2) static time frequency equations<\/p>\n\n\n\n
2.1) static time gravity residual frequency<\/p>\n\n\n\n
f_g\/f_p=A or f_g=f_p*A.<\/p>\n\n\n\n
2.2) static time speed residual frequency<\/p>\n\n\n\n
Supposing the flow speed of static time is perpendicular to all 3 space dimensions like an imaginary number, and for an object at gravity=0 with speed V_0 in fixed exterior coordinate, its space speed frequency V_0\/d_p, static time speed residual frequency f_v and Planck frequency complay following equation (Pythagora theorem):<\/p>\n\n\n\n
f_v^2+(V_0\/d_p)^2=f_p^2=(c\/d_p)^2 or (f_v*d_p)^2+V_0^2=c^2.<\/p>\n\n\n\n
for d_p=c\/f_p, so f_v^2=f_p^2-V_0^2*f_p^2\/c^2, so:<\/p>\n\n\n\n
f_v=f_p*B or f_v\/f_p=B.<\/p>\n\n\n\n
V_0 is the object speed at gravity 0 in the fixed exterior coordinate.<\/p>\n\n\n\n
2.3) static time (total residual) frequency<\/p>\n\n\n\n
Supposing gravity and space speed for an object’s static time total residual frequency f_s (which is local clock rate) are independent factors to each other, so:<\/p>\n\n\n\n
f_s\/f_p=(f_g\/f_p)*(f_v\/f_p),<\/p>\n\n\n\n
f_s=f_p*A*B=f_g*B=f_v*A.<\/p>\n\n\n\n
3) light speed observed in fixed exterior coordinates<\/p>\n\n\n\n
3.1) light speed change in fixed exterior coorinates<\/p>\n\n\n\n
Combining f_v and f_g into total f_s while keeping f_v fixed is like putting an object of speed V_0 (f_v) at gravity 0 to a point of gravity f_g while keeping f_v fixed, then<\/p>\n\n\n\n
f_v^2+V_0^2\/d_p^2=c^2\/d_p^2=f_p^2, multiply A^2 at both sides, then<\/p>\n\n\n\n
f_v^2*A^2+(V_0*A)^2\/d_p^2=f_p^2*A^2, then<\/p>\n\n\n\n
f_s^2+(V_0*f_g\/f_p)^2\/d_p^2=f_g^2, then<\/p>\n\n\n\n
V_s=V_0*f_g\/f_p=V_0*A.<\/p>\n\n\n\n
V_s is the object speed in fixed exterior coordinate after combining f_v and f_g.<\/p>\n\n\n\n
from V_0*f_g\/f_p we can see that to combine indepent f_v and f_g into f_s while keeping f_v and f_g fixed, the object speed in fixed exterior coordinate must slow from V_0 to V_s=V_0*f_g\/f_p,<\/p>\n\n\n\n
or in another word, both sides *A^2 means shrinking normal trangle’s 3 sides by same factor A, and for it’s in fixed exterior coordinates where d_p is fixed, so it must be V_s=V_0*A to shrink V_0 to V_s proportionally.<\/p>\n\n\n\n
3.2) light speed observed is independent from light direction and the speeds of emitter, receiver and medium<\/p>\n\n\n\n
I propose an understanding for light speed as below.<\/p>\n\n\n\n
a) from V_s=V_0*f_g\/f_p to V_c=c*f_g\/f_p, in which V_c is light speed in fixed exterior coordinates, for this is exactly that light travels between different gravity f_g while keeping its f_v=0 fixed,<\/p>\n\n\n\n
or in another way, when gravity=0, V_0^2=c^2=f_p^2*d_p^2, and when gravity is f_g=f_p*A, V_0^2*A^2=f_p^2*A^2*d_p^2, so (V_0*A)^2\/d_p^2=f_g^2, which means light speed V_0=c must slow down by factor A in gravity f_g. <\/p>\n\n\n\n
b) after emitting, a light wave or photon travel along all possible routes at speed V_c=c*f_g\/f_p according to fixed exterior rectangular coordinate, which is independent from speed of emitter, receiver and medium along the certainized light route.<\/p>\n\n\n\n
c) the route of a light after emitting is certainized or realized when it\u2019s received by the receiver or observer.<\/p>\n\n\n\n
3.3) light travel time duration observed by an observer with f_s=f_p according to local time of the observer is t_x:<\/p>\n\n\n\n
t_x=sum(d_p\/V_c),<\/p>\n\n\n\n
t_x=sum(d_p*f_p\/c*f_gr),<\/p>\n\n\n\n
t_x=sum(1\/f_gr),<\/p>\n\n\n\n
t_x=N*mean(1\/f_gr),<\/p>\n\n\n\n
in which, f_gr is f_g of each space unit of Planck length d_p on the certainized light route,<\/p>\n\n\n\n
N is number of space units of Planck length d_p on the certainized light route.<\/p>\n\n\n\n
3.4) the light travel time observed by an observer at f_s=f_sl according to the local time of the observer is t_l:<\/p>\n\n\n\n
Any local static time duration of an observer corresponds to a universal time duration of underlying dynamic time, so different local time durations of different observers in this universe can correspond to same time duration of dynamic time.<\/p>\n\n\n\n
Then in a same universal time duration of dynamic time, the local time duration of an observer is proportional to its local clock rate f_s, so<\/p>\n\n\n\n
t_l\/t_x=f_sl\/f_p <\/p>\n\n\n\n
t_l=t_x*f_sl\/f_p<\/p>\n\n\n\n
t_l=sum(1\/f_gr)*f_sl\/f_p,<\/p>\n\n\n\n
t_l=N*mean(1\/f_gr)*(f_sl\/f_p).<\/p>\n\n\n\n
when the observer\u2019s local f_sl=f_p, the travel time observed is exactly t_l=t_x=sum(1\/f_gr).<\/p>\n\n\n\n
The light speed V_c observed by an observer of f_s=f_sl according to fixed exterior coordinates:<\/p>\n\n\n\n
V_c=sum(d_p)\/t_l=N*d_p\/(N*f_sl*mean(1\/f_gr)\/f_p)=c*mean(1\/f_g)\/f_sl<\/p>\n\n\n\n
V_c=c*mean(1\/f_gr)\/f_sl, so<\/p>\n\n\n\n
if f_sl=1\/(mean(1\/f_gr)), then V_c=c,<\/p>\n\n\n\n
if f_sl<1\/(mean(1\/f_gr)), then V_c>c,<\/p>\n\n\n\n
if f_sl>1\/(mean(1\/f_gr)), then V_c<c.<\/p>\n","protected":false},"excerpt":{"rendered":"
Obviously I dont have enough knowledge and more time to study deeper for static time equations, although I believe static\/dynamic time and digital\/analog dual layer…<\/p>\n