This layman is going to try to teach a geometry. Maybe I'll succeed and maybe I won't:
There are three points, a triangulation of three points and lines, involved to universe expansion and contraction not two points and one line. There are three points, a triangulation of three points and lines, involved to observers and travelers as, themselves, observers:
SPOL = 'c'
Time = t
OR*A = Objectively Real point * A (observer A . . . I will label unobservable for purposes of observer C, also unobservable).
SR*B = Subjectively Relative point * B (the observable relative point B, either point C or point A as observed from one objectively real point or the other).
OR*C = Objectively Real point * C (observer C . . . I will label unobservable for purposes of observer A, also unobservable. "B" is reserved for observed -- relative -- point B).
Expansive:
SR*B is observed an in-line light-time distance (1t) from OR*A, per inertially slow SPOL 'c'.
SR*B (the observed point of OR*C at OR*A) is an unobserved in-line distance (1t) from OR*C, per SPOL 'c'.
OR*C is an unobserved / unobservable in-line distance (2t) from OR*A per inertialessly fast SPOL 'c'.
SR*B (the subjective relative of OR*C) is observably expansive in distance (1t) from OR*A || OR*C (the objective real of SR*B) is un-observably expansive in distance (2t) from OR*A.
(In expanded / expanding space-time triangulation it (OR*C) is always [farther away] in space-time from OR*A than it (SR*B) looks . . . is observed to be.)
Contractive:
SR*B is observed an in-line light-time distance (1t) from OR*A, per inertially slow SPOL 'c'.
SR*B (the observed point of OR*C at OR*A) is an unobserved in-line distance (1/2t) from OR*C, per SPOL 'c'.
OR*C is an unobserved / unobservable in-line distance (1/2t) from OR*A per inertialessly fast SPOL 'c'.
SR*B (the subjective relative of OR*C) is observably contractive in distance (1t) from OR*A || OR*C (the objective real of SR*B) is un-observably contractive in distance (1/2t) from OR*A.
(In contracted / contracting space-time triangulation it (OR*C) is always [closer to] in space-time to OR*A than it (SR*B) looks . . . is observed to be.)
Balloon-warp able space-time and triangulation.
There are three points, a triangulation of three points and lines, involved to universe expansion and contraction not two points and one line. There are three points, a triangulation of three points and lines, involved to observers and travelers as, themselves, observers:
SPOL = 'c'
Time = t
OR*A = Objectively Real point * A (observer A . . . I will label unobservable for purposes of observer C, also unobservable).
SR*B = Subjectively Relative point * B (the observable relative point B, either point C or point A as observed from one objectively real point or the other).
OR*C = Objectively Real point * C (observer C . . . I will label unobservable for purposes of observer A, also unobservable. "B" is reserved for observed -- relative -- point B).
Expansive:
SR*B is observed an in-line light-time distance (1t) from OR*A, per inertially slow SPOL 'c'.
SR*B (the observed point of OR*C at OR*A) is an unobserved in-line distance (1t) from OR*C, per SPOL 'c'.
OR*C is an unobserved / unobservable in-line distance (2t) from OR*A per inertialessly fast SPOL 'c'.
SR*B (the subjective relative of OR*C) is observably expansive in distance (1t) from OR*A || OR*C (the objective real of SR*B) is un-observably expansive in distance (2t) from OR*A.
(In expanded / expanding space-time triangulation it (OR*C) is always [farther away] in space-time from OR*A than it (SR*B) looks . . . is observed to be.)
Contractive:
SR*B is observed an in-line light-time distance (1t) from OR*A, per inertially slow SPOL 'c'.
SR*B (the observed point of OR*C at OR*A) is an unobserved in-line distance (1/2t) from OR*C, per SPOL 'c'.
OR*C is an unobserved / unobservable in-line distance (1/2t) from OR*A per inertialessly fast SPOL 'c'.
SR*B (the subjective relative of OR*C) is observably contractive in distance (1t) from OR*A || OR*C (the objective real of SR*B) is un-observably contractive in distance (1/2t) from OR*A.
(In contracted / contracting space-time triangulation it (OR*C) is always [closer to] in space-time to OR*A than it (SR*B) looks . . . is observed to be.)
Balloon-warp able space-time and triangulation.
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