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Reply to yor_on.In a hypothetical universe where everything is expanding you can have either space and objects expanding at the same rate or at different rates.
The "bending in" effect of an expanding small sphere in a straight line past an expanding large sphere is purely geometrical and assumes the space inbetween just as "nothing". This would be equivalent - I guess - to the objects expanding faster than space - which we know are "something" and thus also subject to expansion.
If - as you say - space is expanding faster than objects, then we should see objects caught up with each other in orbiting motion moving away from each other over time. Do I understand that this is the reason that (say) the moon is slowly moving away from earth or is there a more mundane reason?
Would it be correct to state: If it can be shown that space always expands faster than objects then the so called "Object expansion analogy to the force of gravity" would be effectively falsified?
In any case it would seem that we are then larger than our ancestors Our time machine should effectively then also be a reduction / enlargement machine apart from the fact that we will need to track the future and past motion of our position.