Two preferred directions: a center of expansion and the plane of evil as a frame for large-scale anomalies

The galaxy-cluster anisotropy measured by Migkas et al. rejects an isotropic sky at 5σ when fitted with a center-of-expansion (CoE) geometry: treating the 71 published bins as independent, the CoE model is preferred over isotropy at 5.1σ for A (the LX –T relation) and, with B computed from the same inputs as A rather than fitted separately, at 4.2σ for B; and its predicted two-maximum, two-minimum pattern is preferred over a plain dipole at 3.7σ. With the correlations between overlapping bins taken into account, the significance against isotropy remains at least 2.6σ (Appendix C). The geometry, a CoE seen from inside our observable sphere, was first explored to ask whether it could produce the appearance of accelerated expansion. Turning its knobs across 229 setups (Newtonian point masses, shells and eight distributed profiles, and exact-GR LTB models, D/R = 2–8) leaves a fixed set of features, derived in 2013–16 and later found in the Migkas data: the directional expansion peaks toward and away from the CoE with a single minimum ring between. The geometry’s critical points coincide with the CMB Axis of Evil, which the author had not known of: the Migkas fit had fixed D/R ≈ 3–4.5 and a roll of 45–80.8◦ , a patch covering about 1% of possible axis directions, and the Axis of Evil lies inside it. The CoE axis and the Axis of Evil together fix a frame and a plane of evil ; tests made after the frame was fixed give a further 2.4σ for the CoE direction. The geometry predicts that the two ends of the Axis-of-Evil pattern are not antipodal but 2θ0 ≈ 164◦ apart. In the Planck SMICA map the quadrupole–octopole axis lies 2–5◦ from the geometry’s P1–P2 axis and 8–13◦ from the published axis, which places the CoE within 0.2–4.9◦ of the measured multipole plane, as predicted. The CMB alignments require a preferred plane with broken symmetry within it, and the frame supplies that plane. Seen from Earth, the best-fit CoE lies behind Orion, about 5◦ from Betelgeuse. These results call the strict isotropy of the cosmological principle into question, and we list tests in Planck and eROSITA data that would confirm or rule out the CoE frame.