Holographic Residual Dark Matter: A Non-Particle Origin for Cold-Dark-Matter Phenomenology

This record is a Master Working Note / Extended Framework for the Holographic Residual Dark Matter (HRDM) model. It preserves the broader conceptual and mathematical development of the framework, including the pre-geometric holographic seed, critical surface-area initialization, projection lock-in, the residual gravitational component X, CDM-like effective behavior, galaxy-scale phenomenology, and merging-cluster interpretations. This document is not intended as a concise submission-ready paper. Focused papers derived from this master note, including a shorter Paper I on the core CDM-like component, will be released as separate records. This technical preprint proposes a minimal phenomenological model in which the cold-dark-matter-like gravitational component inferred from cosmological and astrophysical observations is reinterpreted as a non-particle holographic residual gravitational response. The model does not deny the phenomenological evidence for dark matter; rather, it asks whether the effective CDM component may originate from an inflationary holographic projection-locking transition. The residual component X is constructed to behave as CDM at the background and linear perturbation levels, with rhoX proportional to a^-3, wX approximately 0, and cₛ, X² approximately 0. The model also derives a galaxy-scale residual acceleration aX = sqrt (ab aH), yielding v⁴ = G Mb aH, and interprets merging-cluster lensing/gas offsets as baryonic gas displaced from a pre-existing projected residual gravitational well rather than material transport of X. The work is presented as a speculative but mathematically organized phenomenological framework requiring further expert review, numerical tests, and comparison with existing dark matter, modified gravity, emergent gravity, and holographic dark matter models.