What if the structure of reality is simpler than we think?
What if the apparent complexity of the universe emerges from a small number of simple relationships — scale, geometry, constraint, symmetry, and continuity?
81018 is an open investigation of that possibility. It began in a classroom in December 2011. It is not a finished cosmology. The long working map is The Seven Doors. This page is the short front door.
What is certified, and what is not
- Established — G1
- A regular tetrahedron, six edge midpoints, a central octahedron and four smaller tetrahedra. Every new edge is exactly half the old one.
- Consequence — G2
- Repeat the act and you get a factor of two.
- Model choice — G3–G4
- Treat that factor as a discrete scale coordinate from the Planck length. Nature is not thereby proved to be discretized in powers of two.
- Hypothesis — G5–G7
- That coordinate corresponds to physically meaningful structure. G5–G7 test that claim. They do not protect it.
Method: Observation → Mathematics → Model → Hypothesis → Test → Evaluation.
Seven doors
Scale architecture
Can a geometric operation become a scale coordinate? G1 is the construction. G2 is the factor of two. G3 writes the map: about 202 doublings from the Planck length to a cosmological length.
Discrete geometry
What can geometry do before physics is imposed? Tetrahedra, octahedra, sphere packing, the 7.356° gap, π, e, √2, and φ.
Dynamics
How does a static hierarchy become a history? Doubling, Quiet Expansion, Planck-scale generation. Toy models until a measurement says otherwise.
Physical consequences
Dark matter, dark energy, Hubble tension, CMB. Hypotheses to test — not the front door. Current conjecture: why 68.7% dark energy?
Formalization
Can the intuition become mathematics? Constraint classes, recurrence, invariance. Langlands and E8 stay here until they earn a lower door.
Finite ↔ infinite
What changes when we ask what “finite” means? Continuity, symmetry, harmony — qualitative structure, not experimental physics.
Value · integrity · ethics
If structure matters, does value follow? A philosophical extension. Not a scientific consequence.
What is live this month
- G7 — Physical inventory. Independently established lengths placed on the coordinate. Physics populates the map. The map does not manufacture the physics.
- G7 supplemental. Widened table, five G5 controls. Null on notation 67 is not eliminated. First measured composite in the list is the proton charge radius near n ≈ 65.5, not 67.
- Working long form: The Seven Doors. Classroom origin: first homepage. Scale chart: 202 notations.
Where to start
| Five minutes | G1 — first certified coordinate |
|---|---|
| The map | G3 and the 202-notation chart |
| The argument | The Seven Doors |
| A test | Dark-energy fraction |