TITLE:
Flexible Static Cosmology
AUTHORS:
Michael Aaron Cody
KEYWORDS:
Cosmological Redshift, General Relativity, Relativistic Elasticity, Kinetic Theory, Finite Substrate, Robertson-Walker Geometry
JOURNAL NAME:
Journal of Modern Physics,
Vol.17 No.9,
September
16,
2026
ABSTRACT: This is the fourth paper in the
K(
t
)
series and introduces the broader framework as Flexible Static Cosmology (FLSC). The framework was first introduced as the operational redshift kernel
K(
t
)
, which reproduced the classical background redshift relations within a flexible static ontology and preserved a Planck spectrum exactly under collisionless transport. This paper supplies the local gravitational closure in ordinary general relativity. Under the stated bulk hypotheses, compatibility between the
K(
t
)
transport law, null-geodesic photon propagation, and covariant number conservation forces geodesic, shear-free deformation. The spatial metric factorizes as
h
ij
=
K
2
γ
ij
, with
θ=
3
K
˙
/K
, and the spatial Einstein equations require constant sectional curvature. Robertson-Walker geometry is therefore derived step by step rather than assumed. The same deformation rate gives
pK=constant
,
T∝
K
−1
,
n
γ
∝
K
−3
, and
ρ
γ
∝
K
−4
.