Projective Process Monism

A Geometric Framework for Physics, Measurement, and the Observer

PPM Framework diagram
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Projective Process Monism derives the Standard Model, quantum measurement, gravity, cosmology, and the geometry of conscious experience from one geometric structure — CP³ under complex conjugation — and one measured input.

Read the framework or technical reference. Run the notebooks. Browse the predictions. Clone the code. Open corpus, reproducible.

Framework Introduction

The Model

The whole framework as one running process — the arena, the projection, and the cascade from the Planck scale to the present epoch. Watch scattered actualization fall into a synchronized rhythm as the cascade crosses the critical zone; it plays on its own, or move the k slider to drive it yourself.

Open the Model

One Axiom

The arena of physics is CP³, complex projective 3-space. Its complex conjugation τ fixes RP³, real projective 3-space. Possibility is CP³; actuality is RP³; measurement is τ-projection.

That is the entire premise. One geometric structure. One dimensionful input.

Everything else — the Standard Model's 26 free parameters, the Born rule of quantum mechanics, Newton's gravitational constant, the cosmological constant, and the geometry of conscious experience — is derived consequence.

Engage with the framework

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Results

  • Quantum probability follows from the geometry The Born rule P = |ψ|² is the unique rule compatible with τ-projection on CP³. It emerges as a consequence of the structure; no separate postulate is required.
  • Standard Model parameters, derived Particle masses, force strengths, mixing angles. Nineteen empirical comparisons against measured quantities (mean |Δ| ≈ 2.6%, median 1.1%; largest gap on a TBM zeroth-order PMNS angle awaiting subleading corrections), plus structural identities and derived quantities catalogued in the predictions chapter. Notable exact results: the strong-CP parameter θ = 0 (forced by T-invariance of τ); a sterile-neutrino dark-matter mass window from k = 61–62 that brackets the implied 7 keV mass for the disputed 3.5 keV X-ray line.
  • Gravity, dark energy, and cosmic expansion Newton's constant G, the cosmological constant Λ (a static topological invariant), and the Hubble rate H₀ all emerge from the same structure. G runs with redshift as G(z) ∝ (1+z)3/2, accounting for the high-mass early-universe galaxies seen by JWST.
  • A geometric account of consciousness Conscious experience has RP³ topology — the same geometric shape independently derived from perceptual phenomenology by Rudrauf et al. (2017) and validated against human perceptual data. The framework also predicts a binding-window timescale of ~60 ms, matching the well-established psychophysical window during which distributed neural content becomes consciously accessible. Both are quantitative retrodictions of established empirical results.

No new particles. No extra dimensions. No modifications to existing field equations. One dimensionful input: mπ = 140 MeV.

Falsifiable Predictions

These are not curve fits to known data. Each follows from a single geometric starting point. Each can be disproved by experiment.

Gravitational evolution G(z) ∝ (1+z)3/2 The framework predicts that gravity weakens over cosmic time. This explains why the James Webb Space Telescope is finding impossibly massive galaxies in the early universe — they formed faster because gravity was stronger then.
Expansion rate of the universe H₀ = 70.9 km/s/Mpc Cosmologists measuring the expansion rate get two conflicting answers depending on the method — the "Hubble tension." The framework derives a specific value from geometry that predicts this discrepancy.
Strong CP problem θQCD = 0 exactly The strong force should violate a fundamental symmetry called CP, but experimentally it doesn't — a major open problem. The framework's geometry enforces T-invariance at the strong-force scale, forbidding the violation outright. No new particles or fine-tuning needed.
Fine structure constant α−1 = 137.036 The fine structure constant governs how atoms hold together and how light interacts with matter. The framework derives it through three independent geometric routes — heat-kernel volume ratios, gravitational inversion, and instanton topology — each agreeing with the observed value to within ~0.5%.
Dark matter candidate Sterile neutrino, 6–14 keV The framework predicts a specific dark matter particle at a specific mass. That particle would produce a 3.5 keV X-ray signal — matching an anomalous line already observed in galaxy cluster spectra.
Quark CKM CP phase δCP = π/φ² The CP-violating phase of the quark mixing matrix, fixed by the icosahedral golden-ratio partition. Predicted: 1.200 rad. Measured (PDG 2024): 1.137 ± 0.022 rad — agreement to ~5.5% (~2.9σ).