An Explanation for Dark Energy from Whittaker Potential Theory

Updated conclusion

A recent article found that black holes with posited vacuum energy interior solutions alongside cosmological boundaries have a cosmological coupling constant of k=3, meaning that black holes gain mass proportional to a ³ in a parameterization equation within a Robertson Walker cosmology – thus making black holes a cosmological dark energy species (Farrah et al. 2023). The mechanism for this is unknown. Two papers by E. T. Whittaker in 1903 and 1904 showed that all force potential could be understood as resulting from standing waves (static non-local solution) and propagating waves (local solution changing in time). This unification of gravitational and electromagnetic potential has been neglected even though it opens up new mathematical avenues and physical features. The mass-proportionality and preferred direction of the longitudinal waves within the two underlying Whittaker potentials can explain many features of General Relativity (Titleman 2022). They also offer a simple Newtonian explanation for dark energy stemming from Whittaker potential theory – it is produced as longitudinal motion within the Whittaker potentials only when dynamic electromagnetism is separate from time-static gravity in intergalactic space.