▣ Regime 6 — Star Formation Continuity (SFC)
Formation without motion
When astronomers look at a distant galaxy, they are not watching a single star being born. They are watching millions of stars forming across an entire system, spread over tens of thousands of light-years. A galaxy is more like a vast city than a single object: some regions are quiet, while others are busy construction zones where new stars are lighting up.
In galaxies where stars are already moving in stable orbits, those motions follow a very specific large-scale pattern. That pattern reflects how the galaxy is structurally balanced. If balance were achieved mainly through gravity acting after stars form, newly forming stars should initially appear out of place and then gradually migrate into the correct structure as their mass builds.
But that is not what is observed. New stars appear already aligned with the galaxy’s large-scale balance, even while they are still forming. They do not drift into place. They begin in place, without disrupting the existing rotational structure. This suggests that structural balance is not imposed afterward by motion, but constrains formation itself.
Regime 6 asks whether this balance appears even when motion is removed from the picture. Instead of velocities or accelerations, the observable here is a galaxy’s star formation rate — a measure of how rapidly stellar mass is emerging across the system as a whole. This is treated strictly as an analog test. No causal model of star formation is proposed, and no claim is made about feedback, efficiency, or regulation.
To perform the test, star formation rate, stellar mass, and a characteristic size are combined into a dimensionally consistent proxy:
LaTeX: g_{\mathrm{eff}} \equiv \left(\frac{\mathrm{SFR}}{M_\star}\right) R
Although this quantity has the units of an acceleration-like expression, it is not interpreted as a force. It represents the rate at which structure is emerging per unit mass across a spatial scale. The question is simply whether this proxy aligns with the same continuity relation previously observed in purely dynamical regimes, with all parameters fixed.
What emerges is not a new explanation of star formation, but a familiar pattern: continuity without the accumulation of structural imbalance. Stellar mass increases as stars form, yet the galaxy remains aligned with the same large-scale balance, without requiring compensating rearrangement or dynamical correction. Seen this way, a galaxy’s rotation speed does not merely respond to the mass it contains; it reveals the mass the system is able to support without violating coherence. Star formation does not build toward that balance, nor does rotation adjust to recover it afterward. Both appear constrained by the same underlying structure. Regime 6 therefore serves as a bridge, showing that cadence balance is not confined to kinematics, and preparing the ground for the next regimes, where coherence must be tested through curvature, timing, and environment alone.
For readers who want the full observational context, data sources, and replication details, the complete nine-regime observational test suite is archived publicly on Zenodo:
https://doi.org/10.5281/zenodo.18274006