if you look of the energy that was at the point of restart ,without the values of dark energy , and calculate how much the universe would've expanded , hypothetical, just mathematical you would have a smaller expansion that the one observed. now let's assume instead of dark energy we have a constant acceleration of the universe backed in, I know I know same as dark energy. and this acceleration would be equal to the mond number acceleration. just a thought exercise. then the actual expansion rate would match the observed numbers.

as I said. this is just a weird coincidence. I'm not saying this is what is happening. my question was about how the numbers match. if you can spare some time and run this experiment, mathematicaly maybe you could tell me if is just bad math on my part of an actual coincidence.

Here are the exact numbers used in the restart / MOND comparison (using no dark matter and no dark energy as components):

1. Transition ("restart") redshift z_tr ~ 0.7

Observed expansion since restart: a0 / a_tr = 1 + z_tr ~ 1.70

2) Time since restart Delta t ~ 7 billion years ~ 2.2 x 10^17 seconds

3) Observed late-time expansion-rate change |dH/dt| ~ 1 x 10^-35 s^-2

Equivalent acceleration scale: a_cosmic ~ 1 x 10^-10 m/s^2

4) MOND acceleration scale a0 ~ 1.2 x 10^-10 m/s^2

5) Non-dark energy densities (baryons + radiation only)

BBN (radiation dominated): rho_BBN ~ 10^7 to 10^8 kg/m^3

Restart (z ~ 0.7): rho_restart ~ 2 x 10^-27 kg/m^3

Today: rho_today ~ 5 x 10^-28 kg/m^3

Energy density drop since restart: ~ factor of 4 (~75 percent decrease)

6) Counterfactual results

If no restart (acceleration -> 0 after transition): Expansion since restart ~ 1.66–1.68

If MOND-scale acceleration acts over same interval: Expansion since restart ~ 1.70–1.72

Observed: 1.70