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Pursuant to an old thread, I wonder who can answer this:
Let's pretend for a moment that there is no dark matter, but that the gravitational lensing that we see happening out there is affected as follows: (1) The lens / target are at different distances than we suppose, and (2) There is a migrating universal "constant" such that in earlier epochs matter bent light more per kg than it does today. In other words, lensing effectiveness is proportional to 1+z, or maybe the square root of 1+z. For (1), my question is, if we alter the distances to lens and target, even if very unreasonably so, can we recover the lensing that we see? Or is the only working solution to make the lens much larger & further away? A smaller closer lens can't bend the light that much, is that right? For (2), my question is, is there broadly a redshift dependency in lens power, that is, lens mass? Are high-z lenses seen to be more powerful than low-z lenses, or is that susceptible to a Malmquist bias? A while ago I speculated that time dilation might go as the square root of 1+z instead of the standard 1+z. This is because if there is a migrating universal constant which operated on the space-time manifold, then redshift would be half time dilation and half spatial lengthening. In other words, the past would look bigger but this self-corrects via Riemannian geometry. I'm wondering how this would affect the lensing that we see, thus these questions. Appreciate any help. cheers, Eric |
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