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What if the universe began not with a bang, but with a sphere?

Moving beyond the chaos of the Big Bang toward an orderly, geometric cosmology.

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The Research

The Foundations of Geometric Cosmology

The 81018 model is an independent mathematical framework exploring whether the deep architecture of physical reality emerges from simple geometric structures. By tracking a continuous process of base-2 doubling from the Planck scale to the observable universe, this model suggests our cosmos is a hyper-rational system stabilized by fundamental irrational constants, dimensionless constants, the Planck base units and constraint classes. Rather than an explosive beginning, it proposes a quiet, mathematical emergence.

Infinite Continuity

Space, time, mass and energy are hypothesized to be a stable, unified, continuous mathematical grid driven by four basic, timeless irrational constants -π-e-√2-φ- and more.

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Base-2 Cosmic Scaling

Instead of infinite, chaotic expansion, the model maps the entire universe from the Planck length to the edge of the observable cosmos in exactly 202 precise mathematical doublings.

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The Geometry of Reality

Physical matter and cosmic forces may natively emerge from the interplay of perfect spheres, tetrahedrons, octahedrons, and a not-so-subtle, symmetry-breaking 7.356° angular gap.

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

Validation

AI Peer Reviews

Since 1999, this model has grown into an extensive research archive exploring the intersections of geometry, physics, and philosophy. Because the material is highly technical, we utilize advanced AI systems and synthetic peer reviews to help analyze, validate, and unpack its deep mathematical implications — making the core concepts accessible without losing their academic rigor.

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