This paper proposes a novel geometric framework for unifying dark matter, dark energy, and cosmic evolution through a modified gauge-theoretic approach. By introducing a scalar function
, where
(with
as the local “absolute acceleration” and
cm/s2 a reference scale), we construct an extended principal bundle
and redefine the connection form as
, ensuring curvature invariance while modulating gravitational sources. In the Newtonian limit, the field equation simplifies to
, revealing
’s role in scaling gravitational effects. Distinctively, dark matter and dark energy emerge as geometric consequences of spacetime curvature rather than exotic components:
restores standard gravity at small scales,
enhances gravity (mimicking dark matter)
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