Perspective Cosmology: Executive Summary

Last Updated: 2026-02-09 (Session S357) Version: 1.0 Purpose: Two-page overview for first contact with the framework. Audience: Physicists evaluating whether to invest 30 minutes reading further. Status: CURRENT Reading Time: ~5 minutes

1. The Claim

A single axiom system — the Consistent Completeness Principle (CCP) applied to division algebras — forces the following chain of consequences:

The four normed division algebras (R, C, H, O with dimensions 1, 2, 4, 8) are the only such algebras by the Hurwitz theorem. CCP selects the complex field F=C and determines two integers: the crystal dimension n_c = 11 (sum of imaginary dimensions: 1+3+7) and the defect dimension n_d = 4 (largest associative algebra, H).

From n_c = 11 and n_d = 4 alone, the framework derives:

Gauge group: SU(3) x SU(2) x U(1) via the pipeline dim(End(R^11)) = 121 -> 55 -> 18 -> 12
Fermion content: 15 Weyl fermions per generation from division algebra representations
Three generations: From Hom(H, R^7) and the Im(H) = 3 decomposition
3+1 spacetime dimensions: n_d = 4 from the Frobenius theorem
Quantum mechanics: Hilbert space, Born rule, and Schrodinger equation from perspective axioms
General relativity: Einstein field equations from Goldstone dynamics on the coset SO(11)/[SO(4) x SO(7)]
63+ physical constants: Including the fine structure constant, Weinberg angle, Hubble constant, and matter density — all from integer arithmetic on {1, 2, 4, 8, 11}

Zero free parameters for the key ratios.

2. The Evidence

Three headline results:

Quantity	Framework Formula	Tree	Dressed	Type
1/alpha	15211/111 + loop corrections	0.27 ppm	0.0006 sigma	Post-hoc
sin^2(theta_W)	28/121 - alpha/(4pi^2)	0.08%	0.00 sigma	Derived
Omega_m	63/200	0.04 sigma	—	Derived

Tree values are algebraic starting points; dressed values include framework-derived radiative corrections with rational coefficients. No parameters are adjusted to fit.

Blind predictions: 9 predictions were locked before checking measurements. 6 of 7 CMB predictions fall within 1 sigma of Planck 2018 values. Combined P-value for blind predictions: ~2.5 x 10^-7.

Structural derivations: The SM gauge group, quantum mechanics (grade A — fully canonical), Einstein field equations, Yang-Mills mass gap and glueball spectrum (grade A-), 3 generations, CKM mixing mechanism, and 12 confirmed non-observations (proton stability, no magnetic monopoles, etc.).

3. Why You Should Be Skeptical

Self-assessed probability: 25-40% genuine physics (Red Team v3.0, three-critic adversarial review).

The building blocks are not special. A Monte Carlo test (5000 random 7-element subsets of {1,…,20}) showed the framework’s building blocks are at the 51st percentile for matching physics constants at 0.1% precision. Any 7 small integers do roughly as well.

Most predictions are post-hoc. All 12 sub-10 ppm numerical matches were identified after knowing the target values. The framework’s strongest statistical evidence comes entirely from the 9 blind predictions.

14 documented failures. Including 3 formal retractions (Grassmannian topology, SU(3) misidentification, dark states). These are published alongside the successes.

4 irreducible assumptions remain. One structural (quartic ratio), two physical (SSB occurs, time = adjacency), one import (|Pi| scale). Zero are conjectural — all are explicit and tagged.

The cosmological constant magnitude gap is unsolved. The framework gives the CC sign correctly but cannot explain the ~10^111 magnitude discrepancy.

This is amateur work. The author is not a professional physicist. The project uses AI assistance (Claude, Anthropic) extensively. No human expert has reviewed the derivations. 736+ verification scripts (99.8% pass rate) provide computational checks but cannot substitute for peer review.

4. How to Check

Three formulas to verify independently (5 minutes with any CAS):

1/alpha tree: 15211/111 = 137.036036 (0.27 ppm). Dressed: 137.035999177 (0.0006 sigma from CODATA 2022).
sin^2(theta_W) tree: 28/121 = 0.23140 (0.08%). Dressed: 28/121 - alpha/(4pi^2) = 0.23122 (0.00 sigma from PDG).
Omega_m = 63/200 = 0.315 vs Planck 2018: 0.315 +/- 0.007. Within measurement uncertainty.

Full verification: 736+ SymPy scripts at verification/sympy/ with documented assumptions, exact arithmetic, and PASS/FAIL output.

Technical reading order:

Perspective Cosmology: Mathematical Foundations — full axiomatic development (2139 lines, 46 verification scripts)
Interpretive Companion — physical interpretation and predictions (2131 lines)
Honest Assessment — candid self-evaluation with phase grades
AI Methodology — the AI-assisted methodology as a replicable protocol

All materials, scripts, and session records at: https://github.com/chrismmorin-ux/Perspective-Cosmology

Contact: christopher.morin@perspectivecosmology.com

Key References

Document	Role
Tier 1 Claims	12 sub-10 ppm predictions (9 robust)
Blind Predictions	9 blind predictions (P ~ 2.5 x 10^-7)
Statistical Analysis	Honest P-value range: 10^-8 to 10^-7
Honest Assessment	Self-assessment: 25-40% genuine physics
Falsified Claims	14 falsified predictions

Revision History

Version	Date	Session	Changes
1.0	2026-02-09	S357	Initial version

Status: Speculative theoretical framework. Not peer-reviewed. Amateur work with AI assistance. Affiliation: Amateur researcher with AI assistance