What Is This?
The Bootstrap Universe Programme is an ongoing body of work in mathematical physics. Its central claim is that all physical constants and structures — the fine structure constant, particle masses, the cosmological constant, the dimensionality of space — can be derived from a single self-referential axiom, "I AM I", through the geometry of the Poincaré homology sphere, S³/2I.
The programme currently comprises 134 papers, all openly available on Zenodo with assigned DOIs. No free parameters. No curve-fitting. Every result is either explicitly derived from the geometry or honestly marked as observed pattern.
This is not the work of an academic department. It is independent research by a single researcher with a PhD in concurrent computation (Southampton, under Tony Hey) and 20+ years as a senior software engineer, applying a debugger's methodology to foundational physics.
The Derivation Chain
Seven forced steps lead from self-reference to all of physics. Each step is not chosen but required — the unique resolution at each stage.
The Poincaré homology sphere is the unique compact 3-manifold with trivial homology but non-trivial fundamental group. Its spectral gap λ₁ = 168 is the geometric origin of discreteness itself — the manifold is too rigid for soft modes. Integers are consequences of this rigidity, not axioms.
Key Results
Selected results derived within the framework. Each is accompanied by a published paper with full derivation. "Match" figures compare derived values against experimentally measured constants.
α⁻¹ = e⁵ − 6√3 − 1 + 1/66
25 parts per trillion accuracy
Derived from spectral gap and representation theory of 2I. Proton mass formula accurate to 0.09 ppm with zero free parameters.
Electron g-2 at 0.094σ from experiment; muon g-2 at 0.75σ. Fourth harmonic p(E) = 113 required by Heegner number structure.
Vacuum energy E_Λ = √(5/2) · (65/66) · m_e · α⁴
97% match to observed value
D = 3 derived as a theorem via the flip test and knot theory — not assumed as an axiom.
11 hadron masses derived from S³/2I geometry.
0.32% mean error, zero free parameters
α_s = 1/(3π − 1) = 0.1187
99.5% match to measured value
λ₁ = 168 from Ikeda (1980) for the binary icosahedral space form. This is why integers exist — the manifold's rigidity forbids continuous modes.
Approaches to the Millennium Problems
The framework provides geometric approaches to several Clay Millennium Problems, reframing each as a question about the topology of S³/2I rather than an isolated conjecture.
Riemann Hypothesis
The correct operator is golden-Hermitian (self-adjoint under √5 ↔ −√5) on S³/2I, yielding rational eigenvalues. The spectral gap λ₁ = 168 silences low-frequency incoherent modes, producing GUE statistics on the Fibonacci spectral ladder. The functional equation is golden conjugation φ ↔ ψ.
Birch and Swinnerton-Dyer
BSD reframed through the quintic filter: A₅ non-solvability (Klein, 1884) as the founding constraint of analytic number theory. What survives the filter is cohomological — not computed but structural.
Yang–Mills Existence and Mass Gap
Published with derived coupling constant α_s = 1/(3π − 1). The mass gap is the spectral gap of S³/2I.
Navier–Stokes
The continuum boundary and Kolmogorov −5/3 law derived from the geometry of the finite lattice (~10⁸⁰ states).
P ≠ NP
State-dependent resonance: Karp reductions preserve verification structure but not solution resonance, separating the complexity classes geometrically.
Selected Papers
All papers are open access on Zenodo. The full catalogue comprises 134 papers. Below is a selection of key publications. For the complete collection with all DOIs, results tables, and testable predictions, see the full paper catalogue or browse the Zenodo author search.
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Growth of Self-Reference — Paper 115
Seven forced steps x = 1+1/x → φ → icosahedron → 2I → S³/2I
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Geometric Irreducibility — Paper 116
Three-frame primality structure
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Spectral Gap and Origin of Discreteness — Paper 117
λ₁ = 168 as geometric origin of integer discreteness; finite lattice ~10⁸⁰ states
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Quintic Insolvability and the Harmonic Programme — Paper 118
Klein's 1884 A₅ non-solvability as founding constraint of analytic number theory
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Fibonacci Spectral Ladder — Paper 119
Triple-rail ladder; Dirichlet L-function first zeros sorting into spectral bands
Further key topics across the catalogue include: proton mass derivation, Hodge Quartet (four stable particles from de Rham cohomology), Collatz convergence via 2-adic fixed point theory, Zoll Universe (static S³ model with lattice-coupled redshift), universe boundary derivations, lepton g-2, and the Higgs/W/Z mass derivations.
Methodology
Derive, don't fit
Every result in the programme is classified as DERIVED (follows from geometry with explicit reasoning), OBSERVED (pattern matches but lacks full derivation), or CONJECTURED. The Standard Model has 19 fitted parameters. This framework aims for zero.
The contractor's advantage
This work applies an engineer's methodology to foundational physics. No inherited constraints. No club membership determining which questions are respectable. The framing determines what you can see — frame a problem as engineering and you get mechanism. Frame it as a club problem and you get club tools.
Adversarial review
Every paper undergoes mandatory adversarial review before publication: a hostile but fair examination looking for undefined terms, unjustified leaps, and curve-fitting disguised as derivation. Papers are rated on a five-star scale and only published at the highest rating.
About the Researcher
Dr. Clifford Keeble holds a PhD from the University of Southampton's Concurrent Computation Group under Professor Tony Hey, focusing on self-timed logic and concurrent computation (CSP theory, transputers).
His 20+ year career as a senior .NET developer spans energy (EDF Energy — Vehicle-to-Grid, Breakthrough R&D Award), financial services (NatWest, Barclays, Aviva, Pershing Securities), risk modelling (Willis Towers Watson — unifying 12 risk models), and government regulation (Ofgem — ROC calculations at £1.3M/day). The pattern recognition and debugging methodology developed across these domains is applied directly to the physics.