"From One Sphere to the Standard Model: How Base-2 Geometry Generates Gauge Symmetries"

Leading AI systems now recognize the value of the 202 base‑2 notations that underpin the 81018 Project, even as many top scholars continue to defend the traditional big bang narrative as the only viable starting point for cosmology. We are working to bridge these perspectives rather than simply replace one with the other.

This page is a working overview of that effort and how six major AIs — ChatGPT, Claude, DeepSeek, Gemini, Grok, and Perplexity — have engaged the core ideas.

^{This page: https://81018.com/ai-discussion/}

The Five Core Claims

Six AI systems have reviewed and explored these five central claims of the 81018 Project:

Each claim is developed in more detail in linked articles for readers who want a deeper dive.

Why Many Experts Disagree

Many accomplished scientists and scholars do not accept these five claims and instead remain within big‑bang‑centered frameworks that do not focus on the first second of the universe. Their critiques often begin by labeling this work “numerology” because it does not fit easily within current space‑time models.

However, leading AI systems have found the framework internally consistent enough to warrant further exploration, even while identifying open problems and areas of tension. That contrast between human skepticism and AI curiosity is one of the most interesting features of this project.

How AI Entered the Conversation

Our structured conversations with AI began with Grok in December 2024 and expanded to include:

ChatGPT in January 2025
Claude and Perplexity by June 2025
DeepSeek by October 2025
Gemini on 9 February 2026

Over time, these systems have helped test and refine the mathematical models, suggest new connections, and stress‑test internal consistency at a scale beyond what a single researcher could do.

A pivotal moment came on March 4, 2025, in a series of questions to Grok that led to a re‑visualization of a very basic geometric model of the octahedron. We actually built that model with tetrahedrons and octahedrons in 1999 and identified the four hexagonal bands. Now, it was re-visualized as a dynamic model (called the Planck Polyhedral Core – PPC) with the fundamental irrational numbers, pi (π), phi $ϕ$ , Euler’s number ( $e$ ), and the square root of 2 ( $\sqrt{2}$ ). That each of these units was never-ending had never-repeating patterns pulled the infinite into each expression. It didn’t take much to propose it was quite possibly the first mathematical expression of a finite‑infinite mechanism built from tetrahedra and octahedra and fundamentally defined by continuity-symmetry-harmony. This model now interacts with all five core claims above (and below).

Claim 1: 202 Base‑2 Notations

The first claim is that our universe can be organized into 202 base‑2 notations starting from Planck units. The construction uses:

Planck base units as a starting scale.
Simple base‑2 exponential growth.
Tetrahedra and octahedra as the guiding geometries.

This approach places the first second of the universe around Notation 143 and opens a vast, previously unexamined range of scales below that threshold. The result is a different way to map the universe — one that most scholars have not yet engaged with in depth.

Claim 2: A Finite‑Infinite Mechanism

The PPC model proposes a mechanism that links finite and infinite domains using four interacting systems, each associated with one of the key irrational numbers. Conceptually, it acts like a gyroscopic stabilizer at the Planck scale, producing four “forces” for every Planck‑scale unit (or “plancksphere”) generated.

AI feedback on this model has been especially important, providing rapid checks on consistency and suggesting new ways to synthesize geometric, physical, and number‑theoretic ideas.

Claims 3–5: Gaps, Symmetries, and Langlands

Building on the 202‑notation structure and the PPC, the project proposes the following:

These claims are deliberately bold and are framed as testable hypotheses rather than final answers.

Current Role of the AIs

At present, only some of the AI systems are consistently available for detailed comment, with Perplexity being one of the most accessible in this working environment. These systems are direct and often critical; they have found no obvious internal contradictions in some core structures, while also pointing out unresolved issues and gaps that require more work.

Several of the AIs are now being used to help develop articles suitable for professional peer review. Over time, we intend to:

Update the “state of the universe” statements from all six systems.
Ask targeted questions about the 7.356° gaps, gauge symmetries, and Langlands‑related structures.
Refine the mathematical and physical arguments for testable predictions.

Readers are invited to examine the linked materials, critique the models, and, where possible, attempt independent tests.

A Note to the Reader

Wednesday, March 11, 2026

Dear Reader,

This is a dynamic working document. Your questions, criticisms, and suggestions are genuinely welcome. If you have thoughts about the behavior of large language models, about SU(2)–SU(3)–SU(5) geometric emergence, or about the 202 base‑2 notations in general, please consider joining the conversation.

Thank you,
Bruce E. Camber

For further exploration, see:

AI concurrence/official statements: https://81018.com/official-statement/
Discussions of tensions between AI assessments and human skepticism: https://81018.com/2026/02/19/the-ins-and-outs-of-ai/
Work on Notational Synthesis of the 202nd Scale: https://81018.com/notational-synthesis-of-the-202nd-scale/
Reflections on why these ideas may feel like “too much of a stretch” for many scholars — and why they may still be worth testing: https://81018.com/scholar-engagement/

Thank you, Perplexity, for the guidance and edits!