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Bronze & Silver Quant Medals — IQC 2026  ·  🥇 Project 1080 Gold — 1,080 Proved Lean Theorems Pablo Nogueira Grossi · G6 LLC · Newark, NJ · Principia Orthogona
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Hour House · Newark, NJ · Adult ESL · Est. 2026

Learn English.
Build Something Real.

Where language learning meets live research — and immigrant students submit formulas to global competitions

Hour House is an adult English language learning programme in Newark, NJ. Every lesson is grounded in real academic research written by your teacher and published in an international series. You do not fill in worksheets. You read papers. You discuss ideas. You write what you mean.

“Neither of them read from a recipe book. Both of them ate the cake. This is what education is, and what it is not.”
See the Lessons Support Hour House
10+
Lessons Published
🥉🥈🥇
2026 Medals
5
Zenodo Deposits
G=U∘F∘K∘C
The Operator Pipeline

Hour House · AXLE Programme · 2026

Lessons & Assignments

Each lesson connects real published research to English language learning. Lessons are organized into three tiers — AULA 101, 102, 103 — matching CEFR level and building toward the advanced track. No finance background required. Mathematical curiosity required.

AULA 102 Intermediate B1–C1 · discussion, argument, applied projects
02

The Cajueiro Principle — What Persists When Something Grows

B2–C1 · 110–130 min · Philosophy · Systems Thinking

The cashew tree does not grow in a straight line. Operator C and the search for stable configurations.

Open lesson →
02b

The Galilean Confluence — Galileo’s Margins in Ptolemy’s Almagest

B2–C1 · 120 min · History of Science · Source Evaluation

A historian finds Galileo’s handwriting in a 1551 book. Reading the margins where a scientific revolution began, quietly, in private.

Open lesson →
CC

Crop Circles — Geometry and Critical Thinking

B1–B2 · 120 min · Geometry · Critical Thinking

Newest class (added June 2026). Reading claims critically and describing geometric patterns in English.

Open lesson →
CC2

Mandelbrot's Crop Circle — Fractals & the Limits of Evidence

B1–B2 · 90 min · Fractals · Confirmed vs. Suspected Evidence

Part 2 of Crop Circles. A real mathematician, a 1990 magazine letter, and a 1991 field in England that made headlines — and a mystery that, unlike Part 1's, was never confirmed.

Open lesson →
05b

Your Media Kit — Build the PDF that Gets You Approved on Shopee

B1–B2 · 120 min · Digital Literacy · AI Tools · Content Creation

Learn what a creator media kit contains, write your bio with Gemini, and build the PDF in Canva.

Open lesson →
06

The WorldQuant Top 10 — Country Strategies in the IQC

B1–B2 · 90 min · Data · Ratios · Finance

Advanced reading of competition data. What separates China’s 24,454 participants from the USA’s 2,331?

Open lesson →
07

Your First Alpha — From Idea to Submission with Claude

B1–B2+ · 120 min · Claude · WorldQuant Brain · Quant Finance

Write, simulate, and submit a passing alpha on WorldQuant Brain. Use Claude as your research partner. Add to the USA score.

Open lesson →

Principia Orthogona · Core Framework

The Operator Pipeline: G = U ∘ F ∘ K ∘ C

From a 3,650-year-old papyrus to a live financial simulator — the same four operators appear in every domain the series examines.

C Compress Reduce to what matters. Choose your universe.
K Curvature Apply a mathematical operator. Introduce tension.
F Fold Test against reality. The backtester tells the truth.
U Unfold Release into a stable form. Submit. Publish. Teach.

Principia Orthogona · Published Research · Zenodo

Research & Publications

The Principia Orthogona series develops the dm³ framework across mathematics, biology, structural architecture, and space infrastructure. All papers include Python simulations and Lean 4 proofs.

Mathematics · 2026

The Vitruvian Approximation: Rational Circle-to-Square Transitions in the dm³ Framework

Squaring the circle rediscovered. The G-cycle recovers the Ahmes ratio (8/9)² as a canonical invariant. Lean 4 verified.

doi.org/10.5281/zenodo.19984522
Biology · Multi-Agent Systems · 2026

Biological Transitions as Multi-Agent Realisations of the Generative Operator Pipeline

Autophagy, apoptosis, and stem-cell differentiation as multi-agent dm³ systems. Lean 4 proof: MultiAgentTogt.lean.

doi.org/10.5281/zenodo.19208015
Space Architecture · NASA · 2026

G6 Crystal: Hexagonal Generative Contact Mechanics for Lunar Base Architecture

NASA Moon Base contribution (NP-2026-04-6806-HQ). Hexagonal tiling as a dm³ canonical structure. Lean 4 verified.

doi.org/10.5281/zenodo.19162012
Formal Mathematics · Lean 4 · AXLE

AXLE Repository — Lean 4 Proof Library

HexGrid.lean, Growth.lean, MultiAgentTogt.lean, G6Crystal.lean. All proofs verified without sorry. CLAUDE.md and proof backlog in development.

github.com/TOTOGT/AXLE

G6 LLC · Publications · In Progress

Books & Publications

In addition to the academic series, G6 LLC is developing books for broader audiences — from early childhood science to accessible mathematics.

Academic Series · Available Now

Principia Orthogona — The dm³ Framework

The full research series on Zenodo and available in print. Mathematics, biology, architecture, space infrastructure — one framework, many domains.

Buy the book on eBay →
Membership · Digital Access

Hour House Membership — Lessons, Notes & Research

Full access to lesson plans, study guides, and companion materials for the Principia Orthogona ESL series. Support Hour House directly.

Join on Gumroad →
Early Childhood Science · Chapter 1 Live

Day by Day — A Parent’s Science Guide to the First Years

A day-by-day framework for understanding early childhood development grounded in current science. Starts with The Preemie Manual — corrected age, growth percentiles, warning signs, an interactive planner. For parents, caregivers, and educators.

Read The Preemie Manual →
Prototype 0.1 · AXLE · Free

The Verified Archive — Clay, Chalk, Kernel

Where the books meet the classroom: five historical sources — a 3,800-year-old Babylonian tablet, Euclid, al-Khwarizmi, a 1987 MIT lecture, and Principia Orthogona Vol. I itself — each run through the Lean 4 kernel, then glossed at CEFR A2–B1 with PT-BR learner notes. The same source → claim → kernel → gloss → L1-note pipeline this dm³ course uses, applied to 3,800 years of teaching material at once.

Open the Verified Archive →

About · Pablo Nogueira Grossi · G6 LLC

Who Is Behind This

Researcher · Teacher · Builder

Pablo Nogueira Grossi is an independent researcher operating under the TOTOGT/Principia Orthogona programme through G6 LLC, based in Newark, NJ. He holds degrees in finance and economics from Baruch College and CUNY, and has a background in international banking at JPMorgan and Banco do Brasil.

He teaches English at Hour House — his own learning programme at Newark, NJ — where every lesson is built on the same research he publishes internationally. He is bilingual in English and Portuguese.

He is applying to the Anthropic Fellows Program in July 2026.

  • ORCID: 0009-0000-6496-2186
  • Bronze & Silver Quant Medals — IQC 2026
  • 🥇 Project 1080 Gold — 1,080 proved Lean theorems · June 22, 2026
  • NASA Moon Base contribution — NP-2026-04-6806-HQ
  • Lean 4 proofs verified without sorry
  • CAELA Framework certified lesson design

Affiliations & Links


Hour House · Newark, NJ · Online English Classes

Sign Up for Classes with Pablo

Classes are now available directly through Hour House. Reach out to Pablo to reserve your spot — Basic, Intermediate, and Advanced levels for adult learners, fully online with flexible scheduling.

Hour House ESL · Newark, NJ · Enrolling Now

Online English Classes — All Levels

Hour House offers English instruction at Basic, Intermediate, and Advanced levels for adult learners. Every lesson connects real published research to language learning — the same framework Pablo uses in his internationally published work.

Contact Pablo directly to discuss scheduling, level placement, and fees. No prior English required for Basic level.

📚
Basic Intermediate Advanced
Contact Pablo directly
✉ g6llc@proton.me 📞 +1 (646) 342-3751

Flexible online schedules

Newark, NJ · Hour House ESL

Hour House · Newark, NJ · Fundraising

Support Hour House

Hour House is Pablo’s own independent adult English language learning programme and a community resource he is building and fundraising for. Every dollar goes toward keeping the doors open for immigrant and refugee learners in Newark.

🏠 Help Keep Hour House Open

Hour House at Newark, NJ 07104 is an independent learning space where adult immigrants study English alongside real academic research. Lessons are free or low-cost. The programme runs on community support.

You can support directly by buying the Principia Orthogona book or joining the Hour House membership on Gumroad. Every purchase funds lesson materials, room costs, and keeps the programme accessible to learners who cannot afford standard tuition.