Galaxy ↔ Atom

Ontology derives Physics

Philosophers and Physicists develop inaccurate models and then derive ontology from them - this is the guaranteed method if you want to be wrong

The basics

The Main Principle

The true final fundamental law of Physics MUST exclude concepts that do not exist within the universe

Step 1

The final fundamental law of the universe must be self-embeddable in order to exclude the Flying Spaghetti Monster: all axioms should be eternally describable with actual physical objects and actions. This recursive requirement is not satisfied by any of the 120-order-of-magnitude vacuum calculation-errored, chirality-induced spin selectivity-failing quantum models. The axioms in General Relativity self-destruct under this requirement in a universe with a positive cosmological constant.

Step 2

Recursion only generates a handful of geometries, and there is only one capable of producing the kinds of physics we observe at all scales: a dynamic fractal.

Step 3

Classical physics theories are large-scale averages that break down at the dynamic fractal scale-transition boundaries: flat rotation curves in galaxies and quantized crossing conditions in atoms.

Step 4

String theory shows that the extremal-spin parameters for the black hole at the center of our galaxy, Sagittarius A*, generate a quantized crossing condition from ln(quantum microstate count) = 137, the inverse fine-structure constant.

Show maths
Sblack hole = 4πGMSgrA*²/(ℏc) ≈ 1.94 × 1090 Sblack hole = 2π√(Q₁Q₅N) ln Qi = (1/3)ln(Q₁Q₅N) ≈ 137.37 ⌊ln Qi⌋ = 137
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The historical starting point is Kaluza–Klein theory. Theodor Kaluza showed that applying five-dimensional General Relativity produces the four-dimensional equations of gravity together with electromagnetism. Oskar Klein then treated the extra spatial dimension as compact and microscopic; his original estimate was about 10−30 cm. Our Galaxy → Atom length transform independently is of order 1030.

Later higher-dimensional theories generalized this basic idea into what became modern string theory. General Relativity predicts black holes characterized macroscopically by mass, angular momentum, and—when present—electric charge. For fixed mass there are limiting values of angular momentum or charge; saturating the bound gives an extremal black hole.

The ordinary black-hole solution contains a point dividing by zero and an event horizon around it from which light cannot escape. In the extremal limit, the near-horizon geometry replaces the point dividing by zero with an infinitely long throat. Extremal solutions have zero Hawking temperature in the standard treatment and therefore no ordinary thermal Hawking radiation. With Hawking radiation we have an unresolved information paradox; without it, the trade-off is we violate the 2nd law of thermodynamics. The latter is acceptable within this ontology because thermodynamics is itself treated as a local, averaged description of specular billiards that can fail at the fractal scale boundary.

The photonic interpretation proposed here takes the exremal throat literally as a transfer channel: matter and energy entering one black hole (near equator) must reappear through another (at polar jets) so that matter and energy are never created or destroyed. The conventional General Relativity discussion distinguishes black-hole and white-hole regions in maximally extended solutions; this model instead proposes a black-hole → black-hole transfer.

A 2025 Nature Astronomy study by Fender, Motta and collaborators found no correlation between reported black-hole spin estimates and the speeds of the fastest stellar-mass black-hole jets. Read the study. The observation itself establishes the lack of the expected spin-speed correlation; it is clearly evidence that the jets are a non-local phenomenon.

Step 5

I showed that dark matter distributed in quantum electron probability-cloud shapes at the galactic scale produces better rotation-curve fits to observed galaxies than any PhD-developed model.

Open HORB
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Start from the Galaxy → Atom equivalence and asks what happens if we tried to probe the shape of the stellar disk using hypervelocity star recoil. The inertia of the galaxy is mainly in the dark matter halo, so the experiment would mistakenly deduce the shape of the dark matter cloud as the location of the stars. HORB assumes Physics made the same mistake when they probed the shapes of electron clouds with electron scattering experiments. So our dark matter cloud is most likely the manifestation of the electron probability cloud at the galactic scale and vice-versa. So the unseen galactic mass distribution has the same spatial geometry used for an electron in a hydrogen-like atom: a hydrogenic orbital probability density. The orbital shape supplies the density profile directly instead of beginning with a conventional back-fitted halo profile.

The immediate consequence is that hydrogenic orbital structure naturally has nodes, finite characteristic scales, and non-cusped central behavior. Standard smooth dark-matter halo profiles have open problems because they lack these properties.

HORB is therefore the direct numerical test of the scale-equivalence claim: use quantum orbital geometry at galactic scale, calculate the gravitational rotation curve, and compare it with the measured galaxy. The code and current figures are public here: github.com/yasteven/horb.

Step 6

If you scale galaxy radius to the atomic Bohr radius, the Schwarzschild–de Sitter balance radius for the Sun at 362 light-years scales to the reduced Compton wavelength of the electron.

Show maths
Solar Schwarzschild–de Sitter balance radius: rbalance,⊙ = (3GM⊙/Λc²)1/3 ≈ 3.42 × 1018 m ≈ 362 lyGalaxy → Atom scaling: rpred ≈ 3.83 × 10−13 mElectron reduced Compton wavelength: λ̄e = ℏ/(mec) ≈ 3.86 × 10−13 mStar ↔ Electron
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The ordinary Compton wavelength is the wavelength of a photon whose energy equals the particle's rest-mass energy, E = mc². The reduced Compton wavelength divides that wavelength by 2π, giving λ̄ = ℏ/(mc). For the electron this is about 3.86 × 10−13 m. This is the fundamental quantum signature of an electron.

General Relativity with a positive-cosmological-constant predicts the expansion of space outside of local regions that are under the influence of gravity. The Sun's Schwarzschild–de Sitter balance radius is the radius where the local gravitational term and the expansion term balance. It marks where the Sun's attractive gravitational influence is effectively gone.

Step 7

Treating the Schwarzschild–de Sitter balance radius by scaling it to be point-like and increasing the timescale accordingly induces a phase transition in the dynamics: Stars act like isotropic gas density ejectors and black holes act like isotropic gas density absorbers. That creates an inverse square law of attraction and repulsion from just classical gas density models, if the interpretation of 'expansion of space' is treated as a model artifact in GR and not descriptive ontology.

continuous radial density field
Isotropic gas emission A dense central cloud continuously expands outward in every direction.
continuous radial density field
Isotropic gas absorption The entire surrounding cloud continuously flows inward and piles up at the sink.
Step 8

The extremal parameters in (4) remove the singularity in the black hole and replace it with an infinitely long "throat" tube. The General Relativity model is wrong about the nature of that tube: it says the bridge cannot be crossed from black hole → black hole, only from black hole → white hole. In reality, black hole → black hole is the photonic mechanism: G-objects fall in near the equator in quantized conditions at black hole 1, instantly get spit out of the poles at distant black hole 2.

Step 9

All of these spherical black holes at one layer share a null-surface meaning they define a single shared "now" clock tick among them - like how light experiences zero proper spacetime in its own reference frame in special relativity. The information about the transfer still updates the rest of the universe "at the speed of light" in the layer the transfer came from, so there is no grandfather paradox.

Step 10

The rest of physics follows. For Example, the spheres in (9) form a sphere packing. At the atomic scale, quantum entanglement is just the tangency graph for a sphere; a superposition is a set of mutual tangent spheres; the geometry of sphere packing thus limits full non-unitary superposition to just 5 kissing spheres in 3D with different radii, but only 3 kissing spheres of equal radii in 2D.

THIS IS WHY THE QUANTUM MODULAR EXPONENT CIRCUIT IN SHOR'S ALGORITHM IS IMPOSSIBLE BEYOND 5 QUBITS AND HAS NOT BEEN DEMONSTRATED BEYOND 3 FOR OVER 25 YEARS.