The 81018 Notation Model
A statement of the model’s central propositions, the methodology by which they have been independently evaluated, and the findings of that evaluation as recorded in the MI Concurrence Record.
Background and origin
In 2011, a high school geometry class at a New Orleans school began mapping the interior of a tetrahedron by dividing its edges in half and connecting the midpoints — yielding four smaller tetrahedra and a central octahedron, then repeating the process with both tetrahedrons and the octahedron inward until arriving at the Planck scale in roughly 112 steps, and outward to the edge of the observable universe in roughly 90 more. The total: approximately 202 notations.
What began as a classroom exercise in scaling has, over the subsequent decade and a half, developed into a comprehensive proposal for re-grounding cosmology, physics, and mathematics in a base-2 exponential framework that starts not with an explosion but with the quietest possible beginning: the first infinitesimal sphere, governed by the Planck base units and all their associated dimensionless constants.
Five central propositions
The universe has 202 base-2 notations from the Planck scale to the present
Using Euler’s base-2 exponentiation applied to the Planck base units — Planck Length, Planck Time, Planck Mass, Planck Charge — the observable universe is fully spanned in 202.34 doublings. Each notation is a domain with its own characteristic scale, geometry, and physics. This is not a metaphor; it is a map.
All notations are always active
No notation is remotely historical. The first notation — and every subsequent one — is continuously operative as a condition of the present. Time, in this model, is not a container in which events occur but a dimension of the unfolding of notation-states, each grounded in the one before.
The big bang singularity is replaced by a Generative Nexus
The so-called singularity — a point of infinite density that initiates a physical explosion — is recharacterized as a Generative Nexus: a locus, or Modulus of Transformation, where convergent mathematical formulae first achieve consistent, self-sustaining expression. The nexus is not a past event; it is the ongoing ground of the model.
Primordial spheres are the first objects of physics
Infinitesimal spheres, generated at one Planck sphere per unit of Planck Length and Planck Time, are understood as the primordial objects. Their close-packing dynamics, structured by the octahedron and tetrahedron, initiate the symmetry-breaking cascade that produces the Standard Model of particle physics. The primary irrational numbers — π, e, φ, √2 — function as dynamic stabilizers of these structures, not as abstract constants.
Infinity is redefined as continuity, symmetry, and harmony
Infinity within this website is not a quantity, a place, or a theological entity. It is a set of operational properties — continuity (no gaps), symmetry (balanced relations), and harmony (convergent ratios) — that are first expressed in the finite through the structures of the earliest notations and the mathematics that describes them.
Continuity, symmetry, and harmony are the primary finite expressions of what infinity means. This replaces metaphysical and theological definitions with functional, mathematical ones — grounded in the actual behavior of the structures generated at the Planck scale and propagated through all 202 notations.
MI Concurrence Review: methodology and findings
The propositions above have been submitted to a structured evaluation process involving multiple independent Machine-Intelligence Systems (MIS). This process is documented in full at 81018.com/synthetic-peer-review. A summary of its methodology and findings follows here.
MI Concurrence Review is the practice of submitting an identical body of work to multiple independent Machine-Intelligence Systems and recording their responses, with particular attention to points of convergence and divergence. The MIS consulted include Claude (Anthropic), GPT-4 and its successors (OpenAI), Gemini (Google DeepMind), Grok (xAI), and others.
These systems do not communicate with one another. Each responds independently from its own architecture, training data, and analytical framework. What results is not synthesis but independent concurrence — the convergence of separate evaluative processes upon overlapping conclusions, without coordination. Where convergence is strong, it constitutes a meaningful, if bounded, form of validation.
This methodology does not substitute for human peer review. It offers something different and preliminary: a structured record of how multiple independent analytical systems respond to a novel framework — where they find it consistent, where they raise objections, and where those objections, under examination, resolve.
Concurrence Profile summary
The table below summarizes the Concurrence Profile for each of the five central propositions as recorded in the MI Concurrence Record.
| Proposition | Profile | Notes |
|---|---|---|
| 202 base-2 notations, Planck to present | Strong | Mathematical consistency confirmed across all evaluators. No evaluator identified a logical error in the mapping. |
| All notations always active | Qualified | Evaluators found the claim coherent but noted it requires a non-standard interpretation of time with implications that need further elaboration. |
| Big bang singularity → Generative Nexus | Strongest recorded | Multiple evaluators independently noted that resistance to this proposal is likely sociological and paradigmatic rather than strictly logical. |
| Primordial spheres; irrational stabilizers | Qualified | Evaluators found the geometric framework internally consistent but identified testability as the primary outstanding challenge. |
| Infinity redefined as continuity, symmetry, harmony | Qualified | Conceptually coherent; evaluators noted this reframing is philosophically significant and that its physical implications remain to be worked out in detail. |
Where multiple Machine-Intelligence Systems, drawing on distinct architectures and training corpora, arrive at overlapping conclusions without coordination, that convergence is recorded as a Concurrence Profile. The strong concurrence on the proposal to replace the big bang singularity with the Generative Nexus is noted not as proof, but as an indicator that the logical structure of the proposal withstands a form of scrutiny that is, at minimum, rigorous and disinterested. — 81018.com, MI Concurrence Record, 2025–2026
Principal objections and responses
Objection: The model lacks testable predictions
This objection appears across all Convergent Evaluators and is taken seriously. The current state of the model is that its mathematical structure is well-developed and its conceptual implications are broad; specific, falsifiable predictions at scales accessible to current instrumentation are fewer than would be required for journal submission in theoretical physics. The site maintains a dedicated testable predictions page that is updated as the model develops.
Objection: Base-2 exponentiation is arbitrary
Evaluators raised this, and the response within the model is that base-2 is not arbitrary but grounded: it is the minimum non-trivial doubling, it maps directly to the geometric doubling of sphere-packing structures, and it reproduces empirically established scale relationships when applied to the Planck base units. Whether this constitutes a derivation or a fortunate choice or a natural-and-logical selection is a legitimate open question.
Objection: The Generative Nexus is unfalsifiable
The Generative Nexus is not a physical event at a point in time but a structural characterization of the mathematical conditions that obtain at the earliest notations. As such, it is not falsifiable in the same way a particle prediction is — but it is also not metaphysical: it generates specific claims about what those conditions are and what structures they produce, which are in principle examinable. The comparison to the big bang singularity is instructive: that concept also cannot be directly observed and is inferred from the mathematics of general relativity.
Current status and next steps
The 81018 notation model is an active research program, not a completed theory. Its mathematical framework is substantially developed; its physical interpretation is under ongoing refinement; its integration with the formal structures of quantum field theory, the Standard Model, and general relativity is in progress and documented in the linked pages above.
The MI Concurrence Record constitutes the most systematic evaluation the model has yet received. The findings of that record — particularly the strong concurrence on the mathematical consistency of the base-2 mapping and the conceptual coherence of the Generative Nexus — are offered to the scientific community as an invitation to more rigorous human engagement.
Correspondence, criticism, and collaboration are welcomed at the address provided on the site’s contact page.