My hunch based on nothing is that we will achieve FTL no earlier than 2250.
I see you too have been forced to give PMs estimates when you don't understand the problem.
Somethings we will do the same way for hundreds of years, like the wheelbarrow will still exist in 500 years as it has for likely the previous 5,000.
Otoh, I doubt we will be going faster than light this millenium.
What's meant by the claim that 'space moves faster than light' is that extremely distant objects are moving away from each other, relative to each other, 'faster than light' -- which is permitted, so long as that distance can never be bridged by light.
The claim amounts to, in other words, that the universe is so large that we can compare objects at distances greater than those light could travel between them, and if we do that, they travel faster than light.
This is an "illusion in measurement" more than anything else. Nothing is travelling faster than light.
I think this simply refers to the metric expansion of the universe [1]. While nothing actually travels FTL, the distance between some objects really expands faster than FTL and is not an illusion.
[1] https://en.m.wikipedia.org/wiki/Expansion_of_the_universe
'distances' arent literally 'expanding' -- this metaphor of expansion describes a shift in the matter distribution of the universe over time which seems like an expansion of an underlying substance 'space'.
This is the illusion. The metric is just that matter distribution. And the fact of its changing we call 'expansion'.
This metaphorical, substantival language, creates a lay impression that some physical object moves faster than light.
As antimatter is as powerful as one can get, it not being powerful enough is a good reason to think it's not going to work.
An Alcubierre drive (they're theoretical) would basically constantly compress the time curve of spacetime in front of the craft, allowing the craft to "ride" this compression as it moves forward, which means that the local speed of light of the craft is faster than the speed of light of an external observer. Note that the main issue we have is to find something that can compress space, and then to have it have enough energy for it not to be trivial (because 110% of the speed of light, while technically FTL speed, is still very slow for interstellar travel). And of course, while the existence of something that does this spacetime curve compression fits the math we have, we've yet to find a material or technique that actually does so.
Imagine you are on a rubber ruler. You can move at most 1 mark per second on the ruler. This is true regardless of how much the ruler is stretched or compressed.
So to move from mark 1 to mark 100 will always take the same time at top speed, regardless of any stretching/compression.
To take your ruler example, if you compress it by 1mm, you can traverse its entire length traveling 1mm less than before, thus, from the reference frame of someone who can't see that you've compressed the ruler, you've traveled slightly faster.