TITLE:
From Rotation Curves to Cosmic Time: Probing High-Redshift Expansion through Nested Spiral Dynamicss
AUTHORS:
Egbertus Paulus Johannes de Haas
KEYWORDS:
Hubble Parameter, Galaxy Rotation Curves, Early Universe, Nested Spiral Structure, Cosmic Expansion
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.1,
January
21,
2026
ABSTRACT: We present a novel method for estimating the cosmic expansion rate
H
z
at high redshift (
z≈2 - 10
) using the internal dynamics and morphology of nearby galaxies—without relying on direct redshift-distance measurements. The approach models rotation curves of systems showing a clear structural transition between a central bar (interpreted as a fossil spiral) and an outer spiral disk. Within a dual-Lagrangian framework, these nested structures are assigned separate dynamical regimes, enabling
H
z
to be extracted from the mass
M
and critical radius
r
c
of the proto-bar region. The critical radius is defined locally by the condition
v
H
(
r
c
)=
v
esc
(
r
c
)
, which yields a local critical density
ρ
c
∝
H
z
2
. When this purely local relation is mapped onto cosmic time using the ΛCDM matter-era scaling
H(
t
)∝
t
−1
, it reproduces the universal
ρ
c
∝
t
−2
law. Applying the method to seventeen galaxies, and scanning early bulge mass fractions from 0.2% to 20% of today’s
M
bulge
, we find that the 0.5% - 5% range best matches the ΛCDM timeline for disk-spiral onset. A refined backward-time minimization, incorporating a power-law bulge growth model, further narrows the plausible onset window to 0.4 - 1.8 Gyr after the Big Bang. This technique complements high-redshift probes such as JWST imaging and CMB extrapolations, offering a new class of local, dynamical constraints on the early universe. If validated and applied to large rotation-curve samples, it could yield hundreds to thousands of independent
H
z
determinations, refining both the cosmic expansion history and the baryonic structure formation timeline.