Research questionHow can critical-line zero ordinates be related to integer quantization and prime-power coordinates?The construction assigns each critical-line ordinate a quadratic level with an integer part and a fractional residual. The difficulty is interpreting how these residual phases and integer shells connect to prime-power structure without conflating exact identities with unproved claims about zeta zeros. Latest papersRecent research connected to this question, newest first.From Ordered Bernoulli Levels to Critical-Line Geometry: Integer Quantization, Bernoulli Residual Phase, and Prime-Power SpectraThe discussion concerns the ordered Bernoulli kernel, its complement-preserving complex continuation, critical-line zero ordinates, the decomposition of 1/4 plus the squared ordinate into a nearest integer and Bernoulli residual, circular residual phases, and prime-factor coordinates of the integer shells. It also distinguishes the Dirichlet atoms m^(-s) from the ordinate parameter and reports exact identities, numerical controls, and conditional Weyl tests; it does not claim a proof of the Riemann Hypothesis.research paper · Sep 3, 2026