Radial Acceleration Relation
The relationship between observed gravitational acceleration and baryonic (Newtonian) acceleration — the #2 structural prediction of the ether framework. The interpolation function μe(x) = 1 − exp(−√x) is derived from the superfluid phase transition (Eq 4.58), not postulated.
Key Values
- a0
- 1.20e-10 m/s²
- μe at gN = a0
- 0.6321
- 1 − e−1 (exact)
- Deep-MOND slope
- 0.5
- gobs ∝ gN1/2
- BTFR coefficient (Eq 4.70)
- 62.8
- M⊙ km−4 s4
What This Shows
The Radial Acceleration Relation plots observed gravitational acceleration against baryonic (Newtonian) acceleration for galaxies. In standard gravity, all points would fall on the 1:1 line. The systematic deviation at low accelerations is the dark matter problem.
The ether framework derives the interpolation function μe(x) = 1 − exp(−√x) from the superfluid condensate phase transition (Eq 4.58). This function is not postulated — it emerges from the condensate fraction as a function of field strength.
Above a0: Newtonian gravity (ether fully superfluid, no enhancement). Below a0: MOND regime (ether partially normal, phonon force enhances gravity).
Beta Tools are under active development. Equations are verified against the monograph but outputs may be refined. Report an issue