This community collects the papers, working notes, verification code, and reference documents for a dual-track independent research programme:
Scale Space (SS) treats logarithmic scale as a genuine fourth spatial Riemannian coordinate (x, y, z, s), producing an AdS-like configuration manifold with applications to gravitational physics, quantum foundations, and biological scale dynamics.
CNRS (Complex Numeric Representational System) gives complex numbers a single self-contained state value, rather than the coordinate pairs or externally-specified branch choices of standard notation. It is built in three layers on the base z₀ = −2+i: CNRS-A, a positional number system providing exact finite-state arithmetic over the Gaussian integers; a branch-index-extended layer making logarithm and exponentiation single-valued; and CNRS-H, a calculus layer realizing differentiation as a digit-shift operation. The three layers combine into a structured triple (a, k, h) — not itself a positional string, but a self-contained numeric state carrying value, branch state, and local analytic structure together.
The two programmes connect through a proposed bridge identification between the CNRS base and a Scale Space warp factor, documented at several explicit contact points — described honestly throughout as a proposed identification, not an established equation.
All records here are working papers, verified computational notes, or published/submitted manuscripts from this programme. For a narrative reading guide — including a chapter-by-chapter mapping from the programme's introductory book to its technical sources — see www.nul1.com.