A theoretical model shows that an extra spatial dimension can explain cosmic expansion and galaxy rotation without invisible dark matter particles. Astronomers commonly assume that unseen subatomic particles provide the missing mass that holds spinning galaxies together. Instead, wrapping a fifth dimension into a tiny circle creates a scalar field that modifies gravitational attraction across astronomical distances.

The physical cause begins when five-dimensional spacetime compactifies into a four-dimensional world plus a circular loop. The resulting scalar field couples directly to the curvature of spacetime, acting like a flexible tether that stiffens over vast distances. This coupling generates an altered gravitational potential that keeps outer galactic stars moving at constant speeds without extra particulate mass. Near individual stars, the field drops toward zero so standard general relativity remains intact.

The theoretical team formulated this framework by calculating one-loop quantum corrections and deriving planetary orbital motions. Their mathematical analysis predicts that the scalar field causes an extra advance of zero point zero four arcseconds per century in the perihelion orbit of Mercury. The model also matches observed cosmic microwave background data while forecasting a twelve point five percent shift at multipole ten.

Researchers can now test this extra-dimensional framework against incoming telescope surveys rather than searching exclusively for dark matter particles. The equations also provide an information-theoretic mechanism where horizon fluctuations naturally account for the tiny observed value of the cosmological constant.