B3 — Principia Orthogona Book 3: The Mini-Beast

Living book repo · Paid access · G6 LLC · 2026

"Your education is yours. No one can take it away from you."
— Pablo Nogueira Grossi, Newark NJ · The Seed

Buy access: g6llc.gumroad.com/l/soundworks
IMPA Portal: totogt.github.io/AXLE/impa-portal.html
Public site: totogt.github.io/3M

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Submodules

Module	Repository	Description
AXLE	TOTOGT/AXLE	AXLE v6.1 formal verification, series homepage
DM3-lab	TOTOGT/DM3-lab	Interactive simulators, student portal, preprints
book3-starter	TOTOGT/book3-starter	Starter pack for new Book 3 readers

git submodule update --init --recursive

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HTML Chapters — allRevised B3 Chapters

Entry Points & Navigation

File	Description
index.html	Main entry point
living-book.html	Living book hub — all chapters
book3-starter-index.html	Starter pack index for new readers
dm3-lab-index.html	DM3-lab mirror index
course-16weeks.html	16-week structured course program A1→D1
journey.html	The A1→D2 journey overview
chapters-diagram.html	Visual chapter map
trilogy-sale.html	Series sale page
labyrinth.html	Extended navigation / labyrinth structure

Core Sequence — Book 3 Chapters

File	Chapter	Operator	Topic
ch00-introduction.html	0	—	Introduction to The Mini-Beast
ch01-cajueiro.html	1	C	The Cajueiro Principle — seed and fixed point
ch01-dm3-framework.html	1b	C	The dm³ Framework — operator overview
ch02-biological.html	2	C→K	Biological Instantiations
ch02-reading.html	2b	C→K	Reading and Compression
ch03-plasma.html	3	K	Plasma Reconnection
ch03-sources.html	3b	K	Sources and Evidence
ch03-circadian.html	3c	K	Circadian Regulation
ch04-markets.html	4	K	Market Volatility Manifolds
ch04-milestone1.html	4b	K	Milestone 1 Assessment
ch04-neural.html	4c	K	Neural Oscillations — K threshold, Kuramoto sync
ch05-oscillations.html	5	K→F	Oscillations and Coherence
ch05-immune.html	5b	F	Immune Memory
ch06-argument.html	6	F	The Argument Structure
ch06-pedagogy.html	6b	F	Pedagogy as Mathematical Necessity
ch06-resonant.html	6c	F	Resonant Systems
ch1-seed.html	—	C	The Seed (standalone)
ch2-allostatic.html	—	C→K	Allostatic Load
ch3-circadian.html	—	K	Circadian (standalone)
ch4-neural.html	—	K	Neural Oscillations (standalone)
ch5-immune.html	—	F	Immune Memory (standalone)
ch6-resonant.html	—	F	Resonant Systems (standalone)

Upper Chapters

File	Chapter	Operator	Topic
ch7-crystalline.html	7	F→U	Crystalline Structures — Wigner, moiré
ch7-crystalline (2).html	7b	F→U	Crystalline (revised)
ch8-axiomatic.html	8	U	The Axiomatic Foundation
ch8-axiomatic (1).html	8b	U	Axiomatic (revised)
ch8-meru.html	8c	U	Meru — sacred geometry as dm³
ch8-meru (1).html	8d	U	Meru (revised)
ch9-phi.html	9	U	Phi — the golden ratio as fixed point
ch10-lyapunov.html	10	U	Lyapunov Exponents and Stability
ch11-spectral.html	11	U→G	Spectral Radius — transfer operator
ch12-conclusion.html	12	G	Conclusion — Complete Completeness
ch13-revision.html	13	—	Revision and Synthesis
ch14-axle.html	14	—	AXLE — Formal Verification Chapter

Bonus Chapters

File	Label	Topic
chE-gtct.html	Bonus E	GTCT for Everyone — 9 axioms, 12 operators, 4 theorems, A1→D1 prompts
ch-e-gtct.html	Bonus E (alt)	GTCT (earlier version)
chW-wigner.html	Bonus W	The Wigner Crystal — dm³ fold diagram, interactive
chPI-recurrence.html	Bonus π	The Recurrence Ladder — π, φ, μ, η, Δ, Σ, Ω
chapters-pi-phi-mu-eta-delta-sigma-omega.html	Bonus π–Ω	Full recurrence ladder (extended)
sample-chapter-tubulin.html	Sample T	Tubulin as Computronium (public sample)
sample-chapter-wigner.html	Sample W	The Wigner Crystal (public sample)

Interactive Simulations & Tools

File	Description
spectral-radius.html	Spectral radius — Syracuse return map, Collatz
spectral-radius-v2.html	Spectral radius v2 (revised, live at AXLE)
wigner-fractal.html	Wigner crystal interactive fold diagram

Portals & Sales

File	Description
impa-portal.html	IMPA purchase portal — PayPal, pricing, delivery
impa-portal (2).html	IMPA portal (earlier version)

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Lean 4 / AXLE Formal Proofs

File	Description
Main.lean	Main AXLE file
Main_v2.lean – Main_v5.lean	Version history
Main_v3_corrected.lean	Corrected v3
DiscreteDM3Bridge.lean	Discrete dm³ bridge theorem
Finite.lean	Finite case formalisation
lakefile.lean	Lean 4 lake build file
lean-toolchain	Lean version pin

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LaTeX Manuscript Source

File	Description
master_book_FINAL_v2.tex	Master manuscript — current
master_book_FINAL.tex	Master (prior version)
master_book_FINAL_1.tex	Master (prior version)
master_book.tex	Master (earlier)
master_book_corrected.tex / _corrected-2.tex	Corrected versions
MASTER.tex	Root master file
main.tex / main-2.tex / main-3.tex / main-4.tex	Main variants
main-2-fixed.tex / main-2-fixed-2.tex / main_fixed.tex	Fixed variants
completePrincipia.tex	Complete Principia source
principia_vol2.tex	Volume II source
book321.tex	Combined book source
book2_outline.tex	Volume II outline
book2_preface_ch1.tex	Volume II preface/ch1
vol2_section2.tex / vol2_section3.tex	Volume II sections
Fractal_Time_Crystals_clean.tex	Fractal Time Crystals chapter
Fractal Time Crystals.tex	Fractal Time Crystals (earlier)
Monster13.tex / Monster13.tex 2	Monster paper
MonsterPaper_GROSSI2026_clean.tex / _(1).tex	Monster (cleaned)
minibeast_gtct_chapter_E.tex	Chapter E LaTeX source
formalizations_Book2.tex	Book 2 formalisations
g6_scale_invariance.tex	Scale invariance paper
chapter 09 mars.tex	Chapter 9 Mars
chapter_eight_things.tex	Chapter 8 things
letter_to_the_pope.tex	Letter to the Pope

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PDFs

File	Description
Book3_VolIII_MiniBeast_eBook-combined copy-combined copy.pdf	Book 3 eBook (full)
mini_beast_complete.pdf	Mini-Beast complete
mini_beast.pdf	Mini-Beast (shorter)
mini_beast_ch2.pdf	Chapter 2
mini_beast_ch3.pdf	Chapter 3
mini_beast_ch6.pdf	Chapter 6
Principia_Orthogona_Vol_1_Grossi3.2026.pdf	Volume I
Principia_Orthogona_Vol2_Grossi3.2026.pdf	Volume II
Binder2.pdf	Binder collection
cd7e41e3-…-minibeast_gtct_chapter_E.pdf	Chapter E PDF
0736f377-…-mini_beast_ch6.pdf	Chapter 6 (upload copy)
648d8966-…-minibeast (1).pdf	Mini-Beast (upload copy)
989f8f44-…-minibeast.pdf	Mini-Beast (upload copy)

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Python / Scripts

File	Description
bridges.py	Coherence bridge computation
collatz_c9_2_fourier_v2.py	Collatz Fourier analysis
collatz_c9_2_sampling_option1.py	Collatz sampling

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Other Files

File	Description
FILES_MANIFEST.txt	File manifest (older)
README-CHAPTERS.txt	Chapter notes (older)
README.md	This file
README 2.md	Earlier README
DO NOT READ ME.md	Internal notes
PROJECT-STATE.md	Project state tracking
axle_sorry_roadmap.svg	AXLE sorry roadmap diagram
axle_sorry_roadmap 2.svg	AXLE roadmap (variant)
.gitmodules	Submodule configuration

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Folder structure

Folder	Contents
AAA/	Internal staging / scratch
AXLE/	AXLE submodule
DM3-lab/	DM3-lab submodule
Orthogenesis/	Orthogenesis materials
allB3/	All B3 chapters collection
book3-starter/	book3-starter submodule

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The Principia Orthogona series

Volume	Title	ISBN	Status
G¹	The Orthogonal Operator Framework	979-8-9954416-2-5	Published
G²	TOGT: Applications Across Domains	979-8-9954416-4-9	Published
G³	The Mini-Beast	979-8-9954416-6-3	This repo
G⁴	GTCT T1 — The IMPA Edition	included	Submitted to IMPA
G⁵	The Seed — Complete Completeness	979-8-9954416-5-6	Published

Buy: g6llc.gumroad.com/l/soundworks
PayPal eBook: paypal.me/pgrossi/213.24
PayPal Hardcover: paypal.me/pgrossi/263.36

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After purchase

1. Pay via Gumroad or PayPal
2. Text your GitHub username to +1 (646) 342-3751 or include in your PayPal note
3. Added as collaborator within 24 hours
4. Clone: git clone --recurse-submodules git@github.com:g6-llc/B3.git

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License

Paid access · All rights reserved · © 2026 Pablo Nogueira Grossi — G6 LLC
ORCID: 0009-0000-6496-2186 · Newark, New Jersey

Public submodules (AXLE, DM3-lab, book3-starter) retain their original MIT license.