Claim: Flat rotation curves and lensing anomalies arise from large-scale transport frame gradients, not unseen matter.
Observed Anomalies
- Galaxy rotation curves remain flat at large radii
- Gravitational lensing exceeds visible mass
- Cluster dynamics violate Newtonian expectations
Standard Responses
- Postulate non-luminous mass (Dark Matter)
- Modify force laws at low acceleration (MOND)
Both preserve force-first ontology.
Transport Reinterpretation
Galaxies are embedded in moving, nested frames defined by cosmic transport.
Stars move through a non-uniform background frame.
Apparent acceleration arises from frame gradients.
Path A — Geometric Frame Gradient
Primitive: Motion relative to a spatially varying transport frame
Observed centripetal acceleration:
$$ \mathbf{a}_{\text{obs}} = - (\mathbf{v} \cdot \nabla) \mathbf{u}_{\text{frame}} $$
When $\nabla \mathbf{u}_{\text{frame}} \sim 1/r$, flat rotation curves follow naturally.
No additional mass is required.
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Path B — Phase Transport (Orbital Non-Closure)
Primitive: Phase accumulation under long-range transport
Orbital phase advance per revolution:
$$ \Delta \theta = \oint (\mathbf{v} - \mathbf{u}_{\text{frame}}) \cdot d\mathbf{r} $$
Non-zero phase residue implies non-Keplerian motion.
This mimics additional gravitational pull.
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Agreement Condition
$$ \text{Frame gradient dynamics} \iff \text{Orbital phase residue} $$
Why MOND Works Empirically
MOND captures the low-acceleration regime where frame gradients dominate.
It succeeds phenomenologically but misattributes cause.
Why Dark Matter Persists
- Force-based models demand mass sources
- Frame motion is unmodeled
- Residuals are reified as particles
Connection to Other Transport Effects
- Gravitational lensing → frame refraction
- Hafele–Keating → clock transport
- LIGO → phase sensitivity to frame drift
Transport-First Summary
- No dark matter is required
- No force law modification is required
- Galactic dynamics are transport phenomena
- Mass is a bookkeeping artifact