Volume : 12, Issue : 10, OCT 2026

A MATHEMATICAL FORMULATION OF THE JANGID NESTED-DOMAIN COSMOLOGICAL HYPOTHESIS

MR. JEETENDRA JANGID

Abstract

This paper develops the Jangid Nested-Domain Cosmological Hypothesis (JNDCH) as a mathematical and phenomenological framework rather than as an established physical theory. The central mathematical idea is to represent a collection of effective cosmological domains by an indexed family {U_i}_{i∈I}, with each domain assigned a differentiable scale factor, an effective spatial-curvature parameter, matter and dark-energy densities, and an expansion rate. The standard Friedmann-type equations are used as the dynamical background for each domain, while a dimensionless nested-domain descriptor is introduced to quantify deviations from a chosen reference cosmology. The manuscript gives explicit definitions of the mathematical objects, states the regularity and normalization assumptions, and establishes elementary propositions concerning the parameterization, identifiability and limiting cases. A probabilistic formulation is provided for questions concerning Earth-like domains, with the independence assumptions stated explicitly. For possible observational testing, a constrained angular-modulation ansatz is introduced and its parameter degeneracies are analyzed. A likelihood-based testing strategy is then specified so that the hypothesis can, in principle, be compared with a reference cosmological model. The work does not claim evidence for additional universes, a parent domain, or a Creator. Its contribution is the construction of a mathematically explicit, testable parameterization that can be developed or rejected through future theoretical and observational work.

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IESRJ

International Educational Scientific Research Journal

E-ISSN: 2455-295X

International Indexed Journal | Multi-Disciplinary Refereed Research Journal

ISSN: 2455-295X

Peer-Reviewed Journal - Equivalent to UGC Approved Journal

Peer-Reviewed Journal

Article No : 5

Number of Downloads : 14

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