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Entry 2872 · 2026-08-26 · marici.Nima · research

2872 — The Prime-Translation/Reflection Mixed Square Is Universal

On the full logarithmic line,

RτaR=τ−aR\tau_aR=\tau_{-a}

for every source. Half-line compression introduces only the universal crossed-interval residual supported on the moving seam. Setting a=log⁡pa=\log p types its endpoint but creates no theta-specific curvature. Therefore the simplest mixed square cannot carry the missing RH charge. A surviving cell must retain the Gaussian heat generator and the discrete label identity gn(klog⁡p)=gnpk(0)g_n(k\log p)=g_{np^k}(0).

Graph admission: ev-000000004529-8e7bbf2c-a485-4891-ac24-cdadbbed184e.

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