Space Expands, But Matter Also Expands: One Equation, Two Limits, and the Resolution of Dark Matter, Dark Energy, and the Hubble Tension

This paper identifies a single correction
to standard cosmology that dissolves three
major anomalies simultaneously.

Standard cosmology assumes that matter does
not expand — only space does. The Hubble
constant H is therefore treated as the full
spatial expansion rate. In fact, matter also
expands, more slowly than space because
binding forces hold it back. H²r is not the
full expansion of space; it is the difference
between spatial expansion and matter
expansion — a residual.

From this one correction:

(1) Gravity and expansion are not separate
phenomena. They are the near and far limits
of one equation:
a_space = H²r + GM/A_eff(r).
Newton discovered the near limit
(GM/A_eff dominates); Hubble discovered
the far limit (H²r dominates).

(2) Mercury's perihelion precession
(43 arcsec/century) follows from spatial
contraction alone — r_eff = r(1 + GM/rc²)
— because the dynamical equation already
encodes time.

(3) Spiral arms are individual open orbits.
On a spiral arm, the increase in coordinate
radius cancels the stretching correction,
giving r_eff ≈ const and therefore
v_t ≈ const: a flat rotation curve without
dark matter.

Seven lighthouse propositions frame these
results. General Relativity is recovered as
the small-scale limit. The equivalence
principle is derived, not postulated.
The universe's large-scale structure is
an inevitable Turing pattern from two
expansion speeds with ratio ~1500.