Refine It All Through Mathematics.
A Base-2 Universe: 202.34 Notations from Planck to Cosmic Scales
“When tools to measure can go no further, mathematics, logic and human creativity should take over. It is the return of the thought experiment.” -BEC
Observations, our evidence, are increasingly telling us that the universe is a highly ordered, mathematical system. Our model maps it from the Planck scale (5.391×10⁻⁴⁴ s, 1.616×10⁻³⁵ m) to the observable universe (~10²⁶ m) in 202 base-2 notations, each doubling the previous. Unlike the Big Bang, this “Quiet Expansion” proposes smooth, exponential growth, grounded in physics. At PASCOS 2025, explore how AI might tests its predictions and how mathematics, logic, and human creativity re-introduce the thought experiment.
Exponential Framework
- 204 Notations: From Planck units (Time, Length, Mass, Charge) to Notation 202 (~4.008×10²⁵ m, observable universe) and 204 (~1.603×10²⁶ m, speculative).
- Physics Grounding: Notation 202 matches the observable universe’s size. Gap-induced density variations in Notations 130–204 may explain dark matter, testable via N-body simulations.
Fundamental Constants, Not Numerology
- π and e: Integral to physics—π in general relativity’s curvature, e in quantum mechanics’ wave functions. Visualized in octahedral geometries with rotating hexagonal plates (demo).
- Planck Units: Per Frank Wilczek (Physics Today, 2001), Planck units are physical, anchoring our model (details).
- This model is a search for (1) the universal grammar of the universe, using simple mathematics (base-2, π, e) to unify scales from Planck to cosmic and (2) the universal, physics-based framework, bridging quantum and cosmic scales with measurable constants.
AI-Driven Predictions
- Dark Matter: AI (graph neural networks) can model density variations in Notations 130–204, aligning with galaxy formation simulations.
- CMB: Notations 60–80 may predict CMB fluctuations, testable with Planck satellite data.
| Notation | Planck Time (s) | Planck Length (m) | Notes |
|---|---|---|---|
| 0 | 5.391×10⁻⁴⁴ | 1.616×10⁻³⁵ | Planck scale |
| 67 | 2.300×10⁻²⁷ | 6.896×10⁻¹⁹ | Particle scale |
| 134 | 9.843×10⁻¹⁰ | 2.950×10⁻² | Human scale |
| 202 | 1.338×10¹⁷ | 4.008×10²⁵ | Observable universe |
| 204 | 5.353×10¹⁷ | 1.603×10²⁶ | Speculative scale |
Full chart (CSV): https://81018.com/chart-downloads/
At PASCOS 2025 to discuss how this model complements cosmology and string theory. Scan the QR code or visit https://81018.com/pascos/.
Big Board-little universe Project | https://81018.com | Wilczek (2001), Planck Corroboration (2020) | PASCOS 2025, Durham More….