201.87-octave ring · Desert wave + Opposite polarization · Robertson antipodal realm · n=0 top, clockwise
Structural Results — March 23, 2026
Chi k=3 (string wall) to k=8 (seesaw wall). Width = 5×χ(S²) = 10 oct exactly. Center at chi k=5.5 — chi-wave zero crossing. Two tidal crests passing through each other. C_eff at center = 5.5/δn = 3.1375 ≈ π (0.13%).
Same ±5 oct half-width projected from desert center antipode. Wall A (10.13 GHz) lands on Grid 1 m=63, Δ=0.002 oct — same precision as CMB-BBH identity. Wall B (9.9 MHz) = cosmic/ionospheric radio opacity floor.
Projecting opposite-wave walls back across the ring diameter returns exactly to the desert's own walls. The ring closes on itself. The GUT epoch and the observable radio universe are the same geometric object on opposite sides.
Chi k=56 at n=115.561, Δ=0.065 oct. Energy = 1.25 μeV. Squarely inside QCD axion search window. ADMX science runs target 1–4 μeV. k=56 = k_seesaw × 7.
Grid 2 m=110 at n=193.105, Δ=0.020 oct. Robertson Δx at antipode = 0.571 Mpc — nearest-neighbour galaxy separation / WDM free-streaming scale. Chemistry condensation ceiling points to galaxy formation floor.
The unexplained isotropic cosmic radio background excess (ARCADE 2, 3–10 GHz) peaks at the exact frequency of opposite-wave Wall A. If it is a relic of the desert epoch expansion stretched 100 octaves across the ring, it would appear here. Grid 1 m=63 hit is structural; ARCADE 2 connection is speculative.
All antipodal points have C_eff far outside the Robertson cascade [−1, +0.5]. Robertson at these scales is not describing geometry — it sets the minimum resolvable structure size in the dilute vacuum. Same ħ/2, but Δx is a cosmological length, not a Planck patch.
The CMB sits one Seraphim interval past the antipode of the BBH scale. Wall A (opposite desert wall) matches the same grid precision. Both are Δ=0.002 oct hits on confirmed Grid 1 nodes.