Donald G Palmer

SS-PHEN: Experimental Phenomenology of Scale Space: Protected Short-Range Scalar Response, Radiative Null Tests, and Matched Source Corrections

We give the experimental interface for the Scale Space successor architecture established by SS-GEO, bounded by SS-PIVOT, and dynamically closed at low energy by SS-DYN. Physical logarithmic scale remains the real coordinate u = ln(ℓ/ℓ0), but it is not treated as a fourth ordinar...

SS-PHEN: Experimental Phenomenology of Scale Space: Protected Short-Range Scalar Response, Radiative Null Tests, and Matched Source Corrections

We give the experimental interface for the Scale Space successor architecture established by SS-GEO, bounded by SS-PIVOT, and dynamically closed at low energy by SS-DYN. Physical logarithmic scale remains the real coordinate u = ln(ℓ/ℓ0), but it is not treated as a fourth ordinar...

SS-DYN: A Scale-Localized Leafwise Dynamical Closure for Scale Space: Protected Tensor Gravity, a Repaired Scalar Continuum, and Constrained Collective Matte

We give the canonical low-energy successor formulation of the Scale Space gravitational dynamics, resolving scalar- and matter-sector obstructions in earlier formulations. Physical logarithmic scale remains a real coordinate, while the observable gravitational geometry is leafwis...

CNRS-Pr2(1-3): A Single-Value Complex Numeral System via Canonical Number Systems and the Riemann Surface of the Logarithm

We construct a positional numeral system in which a single sequence of real integer digits encodes a single complex number — with no ordered-pair structure and no separator symbol between real and imaginary parts — and on which the logarithm and exponentiation are single-valued....

CNRS-Pr2: Complex Numbers as Single Values: A Three-Layer Architecture for the Complex Numeric Representational System

We present a three-layer architecture for Problem 2 of the Complex Numeric Representational System (CNRS) programme: the construction of a positional numeral system in which a single sequence of real integer digits encodes a single complex number, with no ordered-pair structure,...

CNRS-Pr3-1: Arithmetic Closure for the Complex Numeric Representational System: Working Paper — Problem 3 of the CNRS Programme

Problem 3 of the Complex Numeric Representational System (CNRS) programme asks whether addition and multiplication of CNRS digit strings — that is, digit strings in base−2 + i with digit alphabet {0, 1, 2, 3, 4}— are computable by finite automata. This is the difference between h...