What Is a Sphere in Four-Dimensional Space?

[toppam]

http://www.aphysics.netfirms.com
Time Definition
If we go to search everything about definition of time finally will be a disillusion because of confusing definitions.
My theory will brink you clear vision about fog and confusion.

Here the definition of time: Time is 4th dimension and is equal to radius of sphere where the space is defined. Compression or expansion of space will generate compression or expansion of time. All four dimensions are correlated and cannot be separated. More concise: space is surrounded by time or defined by time and part of time. This is way so far time cannot be seen because is hard to be seen from inside.

 

[dr-dock]

just don't kick me off(the post is good)

i think that time is strongly related with the events in one system.every event corespons to its own moment in time like this:
say one system is regulated with this law F=PS
F=force
P=presure
S=surface
the three (F,P,S) is legal event if it respects the law
say you start from (F1,P1,S1) and endup in (F2,P2,S2)
the vector (dF,dP,dS)
in (F1,P1,S1) is (P1*dS+S1*dP,dP,dS)
and
in (F2,P2,S2) is (-P2*dS-S2*dP,-dP,-dS)
if you want the shortest distance from event1 to event2 you have to set a plane thru event1, event2 parallel with the straith line from event1 to event2.so it has to be
F=a(P1*dS+S1*dP)-b(P2*dS+S2*dP)=ab*dP*dS and
P=(a-b)dP and
S=(a-b)dS or
a(dF,dP,dS)(1)-b(dF,dP,dS)(2)=(F,P,S)
(there are also other ways of finding the shortest legal trajectory)
now find b(a);
b1=-0.5(P1/dP)-0.5(S1/dS)-0.5*sqrt(sqr((P1/dP)+(S1/dS))-8a);
b2=-0.5(P1/dP)-0.5(S1/dS)+0.5*sqrt(sqr((P1/dP)+(S1/dS))-8a);
now you get:
b=f(a)
F=f1(a,P1,P2,S1,S2)
P=f2(a,P1,P2)
S=f3(a,S1,S2)
where a is pure number and it is the quantum of time.
assign seconds to a and you get dimension time.

NOW da>0 MEANS FORWARD IN TIME WHILE da<0 MEANS BACKWARD IN TIME.
da=0 means time is frozen/no changes.
you see my concept of time is slightly different from the common one.

 

[FZ+]

This is about his crackpot theory, not yours dock...

toppam: this may be stupid/obvious, but what is a sphere in 4 dimensional space?