Ψ λ
Mike Tate Mathematics

Documents


Euler Knot Graph

Euler Knot Field

Fourier Harmonics

Fourier Harmonics

Zeta Spiral

Zeta Spiral

Modular Cascade

Modular Cascade

Totient Lift

Totient Lift

Geometricks Shapes

Geometrics

Euler Knot Graph

Euler Knot Field

Fourier Harmonics

Fourier Harmonics

Zeta Spiral

Zeta Spiral

📄 Modular Harmonics in Prime Torsion

A proof sketch of recursive residue behavior across prime-indexed harmonic fields. Includes applications in zeta convergence and symmetry compression.

📘 Recursive Topology in Knot Sequences

Analyzes knot periodicity using modular intervals, with simulations mapping Fibonacci loops to resonance minima. Highlights include quaternionic torsion flow.

🌀 Symbolic Fourier Transformations

Explores the digit-root resonance in ζ(s), with real/imaginary domain mappings. Ties modular cyclicity to harmonic encoding and symbolic syntax restoration.


(□σ + m²)ψ = 0
E = ±m kσ
L = Σ AiEi
ψ = eiS/ħ