I feel unusually obtuse in the presence of two patient and kind tutors.
No, I am assuming an infinite string with constant rate of expansion such that dots 14B LY apart are receding FTL (which models our universe).
Almost got a flicker of comprehension from this.
But I do not understand the part about the speed being constant, since from a fixed point the perceived recession rate increases with distance. Maybe I am off by one derivative of speed somehow...
Let me put forth my (a)ssumptions and (c)onclusions for you to demolish:
1a - assume no acceleration, gravity, or cosmological constant
2a - assume an infinite and eternally old string with dots at regular intervals
3a - assume the string between each dot expands at a fixed and constant rate
3c - this means that dots recede from all other dots at geometrically increasing rates as a function of distance
4a - assume the rate of expansion is equal to today's rate of expansion of the universe
4c - mathematically, dots 14B LY apart recede FTL
- (aside) this gives observable universes of up to 156B LY depending on whose math you believe in other posts
5a - you arrive at this string and attempt to determine the age of it
5c - you look in either direction and can see or calculate that the dot at 14B LY must be moving away at light speed
5c - you figure that dot must have been at your position 14B years ago
5c - you determine the string is 14B years old
I am completely aware that I am missing something painfully obvious. I just don't know what!