The ROSE Postulate: A Topology-Centric Research Framework Bridging Biophysics and Theoretical Astrophysics

The ROSE postulate (Randomly Organized Structural Entities) proposes a topology-first
account of structural realism: what is most invariant in nature is not the specific catalogue of
forces used to model localized phenomena, but a limited family of topological behaviors and
variationally selected geometries that recur across scales. In this manuscript, we synthesize a set of
notes expanding the original “Postulate-1” into a more explicit research framework. We articulate
the distinction between the domain of constraint (physics as the regime of local observables)
and the real (topological invariants expressed through irrational ratios and minimal-surface-like
solution spaces), and we motivate the postulate through multiscalar morphological isomorphisms:
slab/foliation-like architectures in the endoplasmic reticulum of eukaryotic cells and in neutron star
inner crust “pasta” phases. We further develop the methodological claim that calculus and
analytical procedures can be reinterpreted as sequences of topological actions, and we situate
ROSE as a dissenting stance against methodological stagnation (scientism, checklist culture, and
“consistency condition” dogmatism). Finally, we outline programmatic research directions and
falsifiable expectations: classify recurring archetypes, connect them to variational constraints,
and test whether topology offers predictive power beyond force-specific parameterizations.

This manuscript presents a topology-centric research framework (ROSE) proposing that invariant geometric structures recur across physical domains independently of specific force carriers. The work is released as a preprint and has not yet undergone peer review.