Look up the relativistic rocket equations on the Usenet Physics FAQ. Calculate in a spreadsheet what a crew member of a thrusting rocket would observe after throwing a ball upward at close to the speed of light. Chart the path of the ball's free fall. Use general relativity's equivalence principle to realize the same initial behavior must be observable to a person standing on the ground. You've found "dark energy". A little logic from there shows that high-redshift supernovae must accelerate away from us (the 1998 discovery that lead to the idea of dark energy). Good luck finding anyone else who'll look at your numbers.
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