Recursive Structural Reality: The Unified Theory of Physics and Cosmology from Particles to Black Holes

This paper investigates whether Recursive Structural Reality (RSR) can provide a coherent conceptual and mathematical framework for understanding physical reality across scales, from elementary particles and quantum fields to spacetime geometry, gravitational dynamics, black holes, and cosmology. Its central hypothesis, Identity = Stable Recursion, proposes that the persistence of physical entities may be understood through stable patterns of relational organization maintained by recursive dynamics. The paper examines the proposed progression from relation and structure to information, recursion, dynamics, and emergent physical organization, while distinguishing this foundational hypothesis from established physical laws and mathematically demonstrated results. The investigation begins with the relational properties of elementary particles, the quantum-field description of matter and interactions, the origins of mass and energy, and the role of quantum chromodynamics in determining the internal structure and mass of composite particles. It then examines whether recursive relational models can support a mathematically explicit reconstruction of effective geometry, spacetime dimensionality, causal structure, and gravitational dynamics. Particular attention is given to the transition from discrete or relational microscopic descriptions to a continuum compatible with Lorentzian spacetime and general relativity. The principal technical focus is the black-hole information paradox. The paper examines black-hole thermodynamics, Bekenstein–Hawking entropy, Hawking radiation, quantum entanglement, the Page curve, holographic descriptions, and contemporary information-recovery approaches. Within this context, it formulates the requirements for an RSR-based account of black-hole evolution, including a defined microscopic state space, physically consistent recursive dynamics, information encoding, radiation correlations, and operational recovery of the initial quantum information. It emphasizes that information preservation cannot be established merely by proposing a reversible update rule; the model must demonstrate the relevant quantum correlations and reproduce appropriate physical benchmarks. The paper further explores whether the same structural architecture could connect black-hole physics with cosmological evolution, dark matter, dark energy, and the emergence of large-scale organization. These extensions are treated as research hypotheses requiring independent mathematical and observational support, rather than as consequences already established by the RSR framework. A proposed programme of analytical derivation, computational reconstruction, model comparison, and falsification identifies the conditions under which RSR could advance from a broad interpretive framework toward a testable physical theory. The paper's central question is whether recursive relational organization can yield a unified mathematical account of persistent physical identity, emergent spacetime, gravitational dynamics, and black-hole information recovery. Its contribution is to formulate this question as a connected research programme, identify the mathematical transitions that must be demonstrated, and establish explicit criteria for distinguishing conceptual coherence from physical derivation, computational evidence, and empirical confirmation. RSR is therefore assessed not by the breadth of its proposed unification alone, but by its capacity to recover established physics, resolve specific theoretical problems, and produce results that can be independently tested.