3 papers
math.NT2026
Constructing Self-Regulating Field Theoriesfrom Primal Wave Fields without Background Manifolds:The Emergence of the Coordinate Continuum
Terence R. Smith
This paper introduces a rigorous mathematical framework in which the continuous space-time coordinate continuum and self-regulating field dynamics are derived from non-local, perio…
math.NT2025
Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
Terence R. Smith
There is consensus that sums of complex exponential terms, despite their mathematical significance, only possess closed-form representations…
math.NT2025
Rational Wave Numbers and the Algebraic Structure of the Cyclic Groups of the Roots of Unity
Terence R. Smith
Rational wave numbers are periodic sequences in which amplitude a product of powers of trigonometric sequences and ${\bf w}(f,g)=\exp({…