Technical Note XLIII

Visible mass and total mass across the levels of structure

BeeTheory.com · Wave-based quantum gravity · 21 May 2026

Result first

With each structure treated as a source brought to its center, its projected wave mass is \( \lambda M_{vis} \), so the total mass is \( (1+\lambda)M_{vis} = 13.7\,M_{vis} \) at every level. Visible and total mass run as two parallel curves against representative distance, separated by a constant factor — from the Solar System to Laniakea.

1. Setup

For each level we take its visible mass \(M_{vis}\) and a representative distance (characteristic radius or extent). With the source at the center, the projected wave mass is the universal multiple

\[ M_{wave} = \lambda\,M_{vis}, \qquad M_{total} = (1+\lambda)\,M_{vis}, \qquad \lambda = 12.696. \]

2. Seven representative levels

Visible and total mass — 7 levels
Visible mass (blue) and total mass (red) for seven levels, source at the center. The galaxy-cluster level merges Virgo and Coma. The two curves are parallel: total mass is everywhere \( 13.7\times \) the visible mass; the shaded band is the wave mass \( \lambda M_{vis} \).

3. Many examples per level

Replacing each single point by about ten objects spanning the observed range of that category produces a scatter around the trend. Compact systems for their size (globular clusters, individual stars) fall above the line; diffuse systems (dwarf galaxies) fall below it.

~68 examples scattered around the trend
About 68 examples across seven categories, total mass \((1+\lambda)M_{vis}\) versus representative distance. The dashed line is the overall trend (\(M \propto d^{1.42}\)). Each cloud sits both above and below it — the spread is the real diversity of compactness within a level.
Reading & honesty note

These figures are descriptive. The single-level points use representative values; the ~68 examples are drawn from the observed range of each category (e.g. globular clusters 10³–10⁶ M☉ at 2–50 pc, dwarfs 10⁶–10⁸ M☉ at 0.5–3 kpc), not 68 individually catalogued objects. The plot shows where the levels sit on a common mass–distance plane and the constant visible-to-total ratio implied by a central source. It does not, on its own, test the wave mechanism — that requires the rotation-curve and cluster calculations of the series.

BeeTheory.com — Visible and total mass across levels of structure · Initial generation: 21 May 2026 with Claude.ai · © Technoplane S.A.S. 2026