The Einstein-Aether limit
RSI bounds its medium by existing observations, explaining why local tests see no aether wind, and treats any further deviations as open questions.
Any theory with a physical vacuum must explain why experiments have not detected it. In RSI's Preferred-Frame effective field theory, two stiffness coefficients, A and B, describe how the medium responds to disturbances in time and in space. They set the speed of light through c = √(B / A), so B/A = c², which is unity in units where c = 1. Because LIGO saw gravitational waves and light arrive nearly together, gravity and light must share this speed to about one part in 10¹⁵.
RSI recovers the standard Post-Newtonian test values. It reproduces the 1.75 arcsecond deflection of starlight by treating mass as a density shadow. The preferred frame of the medium is hidden from detectors like Michelson-Morley because rulers and clocks built of knots adjust to uniform motion through it, as in the theory of Lorentz and FitzGerald completed by Henri Poincaré. Measurements limit the preferred-frame parameters α₁ and α₂ to a few parts in 10⁵ and 10⁹, and RSI must stay within those limits.
Whether there are deviations at extreme speeds or cosmic scales, such as extra Field-Drag on particles moving against a 1.5° universal torque, is an open question. Precision tests have found no such effect, so any deviation must be extremely small, and RSI does not state one as a prediction.
From the paper: Appendix C, The Einstein-Aether Limit and Observational Constraints. Read the full section
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