RTSG: A Visual Guide to Relational Three-Space Geometry¶

Free. Full color. Printer-ready.

For Veronika — and for anyone who wants to understand.

Download¶

Download PDF — First Edition (March 2026)

Print it. Share it. Give it to your students. Give it to your therapist. Give it to anyone who wants to understand how physics, consciousness, and intelligence connect.

What's Inside¶

10 chapters — each with triple presentation:

Chapter	Topic	You'll understand...
1	What Is RTSG?	The big picture in one page
2	The Three Spaces	QS, CS, PS — visual diagrams + algebra + plain English
3	The GL Action	Phase transitions — from Higgs to consciousness
4	The BRST Filter	How potentiality becomes actuality
5	Dark Matter	Why detection experiments find nothing (and why that's predicted)
6	The Will Field	From Schopenhauer to stochastic dynamics
7	Intelligence Geometry	The I-vector, K-matrix, and why teams beat individuals
8	Niko's Cannon	Why Occam's Razor isn't enough
9	The Source Space	Where all of physics comes from
10	Three-Space Mechanics	The missing third mechanics, discovered 2026

3 appendices:

Quick Reference — all 16 core equations on two pages
Glossary — every term defined in plain language
Practice Problems — 6 problems with full worked solutions

Historical notes throughout — Aristotle, Aczel, Ginzburg & Landau, Becchi-Rouet-Stora-Tyutin, Schopenhauer, Nietzsche, Einstein & Grossmann. The people behind the math. The stories that textbooks leave out.

Why This Exists¶

"What I truly hated about math in school — and what may have disinterested me in it — was that it was presented abstractly, without any connection or seeming relevance to the real world or the historical figures that created it. I'm fascinated by that stuff. I would have enjoyed math so much more, and I would have done so much better in life and in math, if I had gotten a proper education. So let's change that for the future people."

— Jean-Paul Niko

This guide presents every concept three ways simultaneously:

Visually — diagrams, colored boxes, spatial layouts
Algebraically — precise notation, equations, formal statements
Conversationally — plain English, analogies, stories

Because people learn differently. Because the I-vector has multiple dimensions. Because if you engage perceptual (I_P), linguistic (I_L), AND mathematical-logical (I_M) channels simultaneously, you understand more deeply and remember longer.

Editions¶

Edition	Language	Status
First (English)	English	✅ Available now
Russian	Русский	Planned — for Veronika's family
Spanish	Español	Planned
Farsi	فارسی	Planned
Chinese	中文	Planned

Future editions funded by mathematical prize winnings. Given away free.