What if the laws of physics are mathematically inevitable?

Perspective Cosmology asks: what happens when an observer is embedded inside a mathematical object? The constraints of self-observation force division algebras — whose dimensions (1, 2, 4, 8) determine spacetime geometry, gauge symmetries, and coupling constants. From these structures alone, with zero free parameters, the framework derives dozens of physical constants.

12 match measurements to better than 10 parts per million. 14 predictions failed. We estimate a 25-40% chance this is real physics.

Where Did It Come From?

This started with a question about perspective. If gravity and quantum mechanics look disconnected, what if that's because our viewpoint is the problem? Suppose all the laws of physics are fixed and static — a higher-dimensional crystal sitting on a shelf — and what we experience as dynamics is just perspective moving through it. An amateur with no physics degree, working with Claude (Anthropic's AI) across 370+ sessions, pushed that idea to see where it broke.

It didn't break where expected. Requiring that observation be consistent — no contradictions, no zero divisors — forces exactly four number systems (dimensions 1, 2, 4, 8). From those, the crystal's dimension and the defect that lets perspective exist are both fixed: 11 and 4. The rest — spacetime, gauge symmetries, coupling constants — follows from there.

The result is either a genuine mathematical framework for physics or a very elaborate coincidence. The full story — the process, the failures, and why the uncertainty is the point — is in the blog post. Read the origin story →

What It Is

Perspective Cosmology is a speculative mathematical framework that starts from a single question: what is the minimum structure required for observation to exist? The answer turns out to require division algebras — four special number systems (dimensions 1, 2, 4, 8) that are the only ones where division always works. From those algebras and a consistency principle, the framework derives two integers: crystal dimension nc = 11 and defect dimension nd = 4. Everything else — the Standard Model gauge group, three generations of fermions, 3+1 spacetime, quantum mechanics, Einstein's equations, and 63+ physical constants — follows from those two numbers alone.

This is amateur work, built with AI assistance over 370+ sessions. It has not been peer-reviewed. We estimate a 25–40% probability it captures genuine physics. Read the full executive summary →

Where's the Math?

The formal derivations live in the Mathematical Foundations paper, which builds from axioms through theorems to predictions with full proof chains. For a guided 30-minute evaluation, start with the Physicist Summary. The Technical Summary covers every derivation chain and all 63+ predictions in one document.

For interactive exploration: the Division Algebra page walks through how dimensions {1, 2, 4, 8} generate the framework's key numbers. The Framework Catalog maps every prime to a physical constant and catalogues all 17 crystallization types. The Recursive Gap Tower shows what happens when perspective examines its own blind spot — a finite cascade through the division algebras terminating at Im(C). The Derivation Chain Viewer lets you trace any prediction back to its axioms step by step.

Every numerical claim is backed by a SymPy verification script — browse them here, or clone the repo and run them yourself. The Prediction Explorer lets you filter all 63+ predictions by precision, domain, and derivation status.

The Methodology

This project uses Claude (Anthropic) as an exploration partner, not an oracle. Every claim goes through a three-layer defense: computational verification (736+ SymPy scripts), multi-path cross-checks, and semantic consistency audits. A hallucination audit (S287) found that 3% of AI-generated references were fabricated and identified 14 distinct error patterns — all now documented and remediated. Three formal adversarial reviews have stress-tested every major claim.

The full methodology — session protocols, confidence tagging, the hallucination incident catalog, and recommendations for other AI-assisted research — is documented in detail. Read the AI methodology →

What We Claim

  • - SM gauge group derived from first principles
  • - Fine structure constant to 0.0006 sigma (dressed)
  • - Weinberg angle sin²θW to 0.00 sigma (dressed)
  • - Dark matter mass prediction: 5.11 GeV
  • - Lithium-7 problem solved (BBN/3 from division algebra)
  • - No magnetic monopoles (topological, not inflation)

Why You Should Doubt It

  • - Author is amateur with AI assistance
  • - Building blocks aren't special (Monte Carlo)
  • - Most predictions are post-hoc
  • - Could be sophisticated numerology
  • - 4 irreducible assumptions remain
  • - CC magnitude gap unsolved

Why It Might Be Real

  • - 9 blind predictions succeeded (P ~ 2.5e-7)
  • - Derives structure, not just numbers
  • - 737+ verification scripts (99.8% pass)
  • - 14 failures + 3 retractions documented honestly
  • - Only 4 assumptions for ALL of physics
  • - Concrete falsification criteria

The 3 results most worth checking

1/α
Fine structure constant
Predicted
137.035999177
Measured: 137.035999177(21)
15211/111 + 3-loop rational corrections
0.0006 sigma from measurement
View derivation chain →
sin²θW
Weinberg angle
Predicted
0.23122
Measured: 0.23122(4)
28/121 − α/(4π²)
0.00 sigma from PDG
View derivation chain →
Ωm
Matter density
63/200
= 0.315
EXACT match to Planck
View derivation chain →

All three use only the integers {4, 7, 11} — the spacetime dimension nd = dim(H), the imaginary octonion dimension Im(O) = 7, and the crystal dimension nc = 1 + 3 + 7 = 11. Zero free parameters.

737+
Verification Scripts
99.8%
Pass Rate
14
Documented Failures
4
Irreducible Assumptions

"25-40% chance this is genuine physics.

100% chance the math is worth checking."