What if the 19 free parameters of the Standard Model are not fundamental — but geometric?
Conscious Point Physics derives particle charges, mass ratios, and neutrino mixing from a single 4-dimensional geometric structure: the 600-cell polytope. One calibration constant. No fine-tuning.
In Conscious Point Physics (CPP), space is not a smooth continuum — it is a finite 4-dimensional lattice of 120 points arranged in a structure called the 600-cell polytope. These points, called Conscious Points (CPs), interact through a field called the Space Stress Vector (SSV). Particles — electrons, quarks, neutrinos — form as stable geometric clusters (“cages”) of these points.
Mass is not assigned by hand. It emerges from how much a particle's cage structure organises the surrounding Dipole Sea — a medium of randomly oscillating dipole pairs that fills all of space. More cage complexity means more organisation, which means more mass.
The Lattice
120 vertices, golden-ratio edge lengths, perfect 4D icosahedral symmetry. This single geometric structure contains the tetrahedral, icosahedral, and dodecahedral subgraphs that correspond to the three quark generations.
The Particles
Each Standard Model particle is a specific subgraph of the 600-cell. The electron is a minimal single-vertex structure. The muon adds a tetrahedral cage. The tau adds an icosahedral cage. The pattern continues through all six quarks.
The Forces
The SSV field plays the role of all four fundamental forces in different limits. Confinement is SSV trapping quarks inside the cage radius. Electromagnetic attraction is opposite-polarity CPs minimising SSV energy.
The Calibration
One constant is fixed to the electron mass. Everything else — quark charges, the Koide lepton mass ratio, neutrino mixing angles — follows from the 600-cell geometry alone.
The table below records what CPP has proved, what is open, and what has been falsified and corrected. This transparency is intentional: every paper in the series states explicitly what is a theorem, what is a calibration, and what is an open problem.
The K3 graph — the base triangle of the 600-cell cage — encodes four distinct Standard Model quantities from four different mathematical properties of the same equilateral triangle:
| Result | Value | K3 structure used | Status |
|---|---|---|---|
| Charge quantisation | δ = 1/3 (exact) | C3 combinatorics: 3 equal vertices + completeness | Proved |
| Koide lepton mass ratio | K = 2/3 (exact) | Spectral ratio λ₊/|λ₋| = 2:1 | Proved |
| Lepton mass constraint | 11 ppm consistency | Vertex occupation ∝ |ψi|² | Derived |
| Neutrino mixing (zeroth order) | U_PMNS&sup0; = U_TBM (exact) | Eigenvector–vertex change of basis | Proved |
Nine theorems in the Strong Sector paper derive colour charge, gluon masslessness, asymptotic freedom, and the hadron spectrum from 600-cell tetrahedral geometry. The coupling constant αgeom = 3(11+5√5)√(5+√5)/320 is derived exactly from the 600-cell Voronoi geometry — no fitting.
CPP does not claim to be complete. The following are registered open problems, with specific candidate mechanisms:
| Open Problem | What is missing | Status |
|---|---|---|
| Quark mass formula (OP-SS-1) | Exact current masses of u, d, s quarks from cage geometry | Open |
| Koide phase θ (OP-SM-7d) | Why θ = 132.73° for leptons — requires electroweak sector | Open |
| TBM corrections (OP-SM-5) | θ13 = 0.022 and ~10% deviations from tribimaximal mixing | Open |
| Neutrino masses (Paper 6) | Δm² splittings from σ = 120−d suppression | Open |
These results appeared in earlier versions of the CPP papers and have been removed after exact computation showed them to be wrong:
| Claim | Why falsified | Status |
|---|---|---|
| C₆₀ fullerene as top quark cage (60 vertices) | No 60-vertex distance shell exists in the 600-cell | Falsified |
| φ3(l−1) quark mass scaling | Actual shell volumes deviate by 3–8× from this formula | Falsified |
| θ_Koide from Aharonov-Bohm loop | C3 symmetry prevents degeneracy breaking (11 mechanisms tested) | Falsified |
The CPP programme publishes in two series. All papers are available on the Open Science Framework (OSF) with citable DOIs.
The Strong Sector from the 600-Cell Lattice
Nine theorems: SU(3) algebra, gluon masslessness, β₀ = 7, α_geom derivation, hadron spectrum. Submission-ready.
Binding Mechanisms and Cage Stability
SSV force law, energy minimisation for cage geometries, worked electron example.
Mass Generation from Geometric Hierarchies
Semi-empirical framework: one calibration constant, polyhedral cage assignments, PDG-consistent mass estimates.
K3 Spectral Theorem and the Koide Formula
K = 2/3 derived from K3 eigenvalue ratio 2:1. All three postulates derived from CPP axioms. Zero free postulates.
Charged Lepton Masses from the K3 Spectral Theorem
K = 2/3 as an 11 ppm consistency check. Two free parameters (A, θ) calibrated from PDG. Honest about scope.
Tribimaximal Neutrino Mixing as the Zeroth-Order PMNS Matrix
U_PMNS&sup0; = U_TBM derived exactly from K3 eigenvectors. sin²θ12 = 1/3, sin²θ23 = 1/2 with no free parameters.
All derivations, notebooks, and open problems are version-controlled at github.com/tlabshier/CPP. Every numerical claim is backed by runnable code.
LHCb, Moriond — 17 March 2026
The LHCb experiment at CERN announced the discovery of the Ξcc⁺ baryon (two charm quarks + one down quark) at 7σ significance, mass 3619.97 MeV/c². This is the second doubly-charmed baryon ever observed, the first being Ξcc⁺⁺ (2017).
In CPP, this is a proton-like structure with two charm quarks carrying icosahedral cages. The mass gap between the constituent quark masses and the measured baryon mass (~1065 MeV) should be accountable through qDP chain binding energy — a direct test of the strong sector framework. This computation is underway.
We are preparing a dedicated analysis. The key CPP predictions for doubly-charmed baryons — cage geometry, binding energy scaling, and lifetime asymmetry between Ξcc⁺ and Ξcc⁺⁺ — will be published as a companion paper once the strong sector backbone is on OSF.
Thomas Lee Abshier, ND
Founder, Hyperphysics Institute. Conceived the CPP framework and directs the research programme.
Grok (xAI)
AI collaborator. Computational work, mass ladder analysis, and simulation support.
Claude Sonnet (Anthropic)
AI collaborator. Derivations, paper writing, formal proofs, and pre-submission review.
Claude Opus (Anthropic)
AI reviewer. Independent pre-submission review of all papers in the series.
We welcome rigorous critique, attempted falsification, and collaboration proposals. The strongest contribution you can make to CPP is a clean counterexample to any proved theorem.
Thomas Lee Abshier, ND
Hyperphysics Institute · Portland, Oregon