What BeeTheory Proves — and What It Does Not
A wave-based derivation of Newtonian gravity, not yet an explanation of the missing mass
BeeTheory’s solid, demonstrated achievement is to recover Newton’s law of gravity from regularized wave functions — shown for the Sun, the Earth, the eight planets and the Cavendish constant. It does not, at this stage, explain the galactic missing mass. The two claims should not be confused: one is proven to twelve decimals, the other remains an open hypothesis.
1. What is demonstrated: Newton emerges from the wave
The foundation of BeeTheory is a single, checkable result. Each particle is a regularized wave function ψ(r) = (1/N)·exp(−√(r²+a²)/a). Taking the Laplacian splits into three terms, and at distances beyond the regularization scale a, only one survives:
The wave description reproduces the exact Newtonian potential. This is not fitted — it falls out of the mathematics. And it has been checked against reality at every accessible scale:
- The eight planets of the Solar System: agreement with Newton to twelve decimal places.
- The Earth: accumulating ψ through the PREM density profile gives the surface gravity g = 9.81 m/s², with the 1/r tail outside.
- Cavendish: summing the wave contributions of the atoms recovers G ≈ 6.67×10⁻¹¹ — the measured gravitational constant.
2. The method that works: from spheres to gravity
The way this was established is worth restating, because it is the same method throughout. A body is built from its real density profile — a sphere of accumulated wave functions. For the Sun and the Earth, integrating ψ over the actual mass distribution yields, on the outside, exactly the Newtonian field a point mass of the same total would produce. The wave picture and Newton agree because the regularized wave, summed over a real body, has a 1/r tail. This is the genuine, reproducible core of the theory.
3. What is not explained: the galactic missing mass
Extending the same machinery to galaxies — letting the collective wave field of the visible matter stand in for dark matter — is a different and unproven step. Honestly assessed, it does not yet hold:
- The wave density of a single disk component works out to a pure exponential, ρ ∝ e−r/ℓ — finite at the centre, falling off exponentially. It is not the dark-matter profile (NFW) and cannot be derived from it.
- The galactic parameters (the coupling λ, the length c) are fitted to the rotation curves, not derived from the wave function ψ as the Newtonian result is.
- The coupling needed differs between components and galaxies (the bulge coupling is poorly constrained), which a truly universal mechanism should not require.
Recovering Newton is a derivation: it follows from ψ with no free parameters and matches observation to twelve decimals. Explaining the missing mass is, so far, a fit: it requires adjusted couplings and reproduces curves without predicting them from first principles. The first is a result; the second is a hypothesis. BeeTheory should be presented as what it has earned — a wave-mechanical foundation for Newtonian gravity — and not yet as a solution to dark matter.
Separating the two claims makes the theory stronger, not weaker. The Newtonian derivation stands on its own, fully checkable, and is the right ground to build on. The missing-mass question stays open and honest — a direction to explore, with a clear test ahead: deriving λ and ℓ from ψ rather than fitting them. Until that derivation exists, BeeTheory explains gravity, not the hidden mass.
BeeTheory.com — What BeeTheory proves and what it does not · Initial generation: 21 May 2026 with Claude.ai · © Technoplane S.A.S. 2026