G6 LLC · Principia Orthogona · Book 3

English for Researchers

A 16-Week Living Course — C1 to D2

Study, prompt, write, publish. By Week 16 you have produced a peer-reviewed, citable scientific paper on Zenodo — in English — with a DOI. No prior advanced English required. No prior mathematics required. Only the willingness to follow a seed to its canopy.

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16-Week Course · Book 3
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What's Included

Everything you need to publish your first research paper

This is not a grammar course. It is a research-production course taught through academic English. You learn the language by doing the work scientists actually do.

📖
16-Week Course Book
Full PDF — 16 structured units, 21 LLM prompts, reading lists, and weekly deliverables. Yours to keep.
🌐
40+ Interactive HTML Chapters
Lifetime access to the full Principia Orthogona chapter site — the same living book that grows with the series.
🔬
4 Published Papers
You produce and deposit 4 real papers on Zenodo — each with a permanent DOI you can list on your CV.
⚙️
AXLE Proof Engine Intro
For the mathematically ready: an introduction to Lean 4 and the AXLE formal verification environment.
🐙
GitHub Documentation
Build a real public GitHub profile documenting your research journey — 4 repos, documented and linked.
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21 LLM Prompts
Calibrated prompts for every stage — from first draft to peer review — teaching you to use AI as a research assistant, not a ghostwriter.
Course Structure

Four phases · One complete circuit

The course follows the dm³ operator chain G = C → K → F → U. Each phase builds on the last. The chain closes at Week 16 when you publish your final paper.

C
Weeks 1–4
Compression
Read · Compress · First Paper
K
Weeks 5–8
Threshold
Argue · Falsify · GitHub Paper
F
Weeks 9–12
Fold
IMRaD · Methods · Preprint
U
Weeks 13–16
Unfolding
Peer Review · DOI · D2
Sample · Week 1 — The Cajueiro Principle
We Perceive the Unfolding First
  • Read Book 3 Chapter 1: the cajueiro as model of scientific observation
  • Learn the operator chain C → K → F → U as a reading and writing scaffold
  • Read one Zenodo paper from the Principia Orthogona series and annotate it
  • LLM Prompt 1.1: compress the paper into one sentence using only your own words
  • Deliverable: set up your GitHub profile and write your first README
Who This Is For

Researchers who need to publish in English

Graduate students

First-year PhD and Master's students who need to produce papers in English before they feel ready.

Independent researchers

Scientists outside institutional settings who want a peer-reviewed publication record without a university behind them.

International researchers (C1 level)

Strong in their field, strong enough in English to follow the course — need the production system, not more grammar drills.

Educators building research skills

Teachers and lecturers who want to model the full publication process for their students.

"The course does not teach you about research. It puts you inside the process from Week 1 — and by Week 16 you have a real paper with a real DOI. That is the difference."
— Pablo Nogueira Grossi · G6 LLC · ORCID 0009-0000-6496-2186
✓

30-Day Money-Back Guarantee

If you complete Week 1 and the course is not what you expected, email g6llc@proton.me for a full refund. No questions. The course earns its price by Week 4 — but you should not have to take that on faith.

Do I need to know mathematics?
No. The mathematical framework is the scaffold for the writing — you learn it by reading and annotating, not by taking exams. The AXLE section (Lean 4) is clearly marked optional for mathematically inclined students.
What English level do I need?
The course is designed for C1 entry and D2 exit (above CEFR C2 in academic register). If you can read a scientific abstract in English and understand most of it, you are ready.
Will my papers actually be published?
Yes. Zenodo is a CERN-operated open repository that issues permanent DOIs. Your papers will be publicly accessible, permanently archived, and citable. This is how pre-prints work at arXiv, bioRxiv, and SSRN — the same infrastructure used by professional researchers.
Is this self-paced?
Yes. The structure is 16 weeks but there are no live sessions or deadlines. Work at the pace that fits your schedule. The weekly structure is a guide, not a constraint.
What do I get immediately after purchase?
Instant access to the full PDF course book and the complete HTML chapter site. Everything is delivered digitally — no shipping, no waiting.
For Postgraduate Programs

Living Book Access — Volumes I–VI

The 16-week course is Book 3 — one semester, one operator, one complete research circuit. Living Book Access is the full Principia Orthogona series: Book 3 complete, Volumes I–VI as drafts are published, all the sound machines, and the dm³ lab repo — updated as the series grows, for one year. It is a membership, and it funds a free clinic at 229 Ballantine Pkwy, Newark. Institutions wanting a licensing-grade bundle should write instead.

Book 1 — GOMC
Contact geometry foundations · operator C
Book 2 — TOGT
Threshold theory · operator K · r★ · ε₀
Book 3 — The Mini-Beast
ESL for Researchers · 16-week course · operator F
Book 4 — GTCT
Galilean contact transformations · operator U
Book 5 — In progress
τ = 2 · the complete circuit · G(x★) = x★
Get Living Book Access →
Name your price · one year · Institutional licensing on request · g6llc@proton.me

Three ways in — one framework

Start with Book 3 at $19.99 and see if it's for you. Come back for Books 1–2–3 at $200. Or grab all five today for $247 — saving $3 on the bundle and locking in Books 4 and 5 for just $50 more while this offer stands.

Talk to the Registrar →
Join Principio on Discord · Ask anything · Enroll when ready · g6llc@proton.me