Projects

Information, Spiral Geometry and the Riemann Hypothesis

This site documents an ongoing independent research project that connects three areas:

– information and phase as the real substrate of physical processes,

– a spiral, dipole-based model of matter and fields,

– structural analogies with the Riemann Hypothesis and the zeros of ζ(s).

The goal is not to replace existing theories, but to add a geometric, phase-based layer that explains why certain stable patterns appear: electrons, dipoles, nodes, and possibly some of the structures seen in analytic number theory.

Information & Phase

I start from a simple assumption: what we measure lives in ℝ (real numbers), but the full dynamics lives in ℂ (complex space). Phase is not a cosmetic parameter of a wave, it is the core of how states change and couple. Information is treated as a normalized state in an abstract space; what we call “reality” is a projection of these states into physical space via phase and induction.

On the Information & Phase page I describe this baseline: how I think about information, complex space, and why phase and resonance are central in this project.

Spiral Model of Matter

The spiral model (MSp) is a geometric and topological picture built around a dipole, a spiral trajectory and a zero point (node) where the field crosses through an effective zero and the phase can flip. Magnetometer experiments with rotating magnets show stable angular regions where the field vanishes and the energy in a 10° sector drops to a minimum. I interpret these as manifestations of a node tied to a 720° spinor-like cycle.

In this framework, the electron is modeled as a finite spiral structure composed of a fixed number of phase-coupled pairs, closing into a stable 720° cycle around a dipole. The Spiral Model page gives a compact overview of this picture and how it is constrained by measurements.

Riemann Hypothesis & Spectral Structure

The Riemann Hypothesis enters as a structural analogue, not as a slogan. Both the spiral model and ζ(s) live in complex space, both have special points (nodes / zeros), and both show non-trivial correlations in how these points are arranged. I explore the idea that zeros on the critical line can be read as a kind of “phase geometry” with constraints similar to those in a spiral, node-based model.

On the Riemann Hypothesis page I outline this connection: nodes ↔ zeros, angular distributions ↔ spacing of zeros, and how a phase-based picture might help organise known results on pair correlations and spectral interpretations.

Lab and Process

All of this is tied back to experiment: a small lab with magnetometry, optics and custom setups, plus analysis tools written in Python and Swift. The method is straightforward: define the model, run the experiment, compare, adjust. Wherever the spiral model fails to match data, it has to change.

As the work progresses, this section of the site will be updated with new measurements, preprints and more precise formulations connecting information, spiral geometry and the Riemann Hypothesis.