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Can Cosmological Inheritance Predict Early Galaxy Clusters? Testing LCF-113

Year: 2026
Type: preprint
Abstract: Could cosmological inheritance explain the unexpectedly early emergence of massive galaxies and developing galaxy clusters—and reveal a previously unrecognized mechanism governing the formation of cosmic structure? Recent high-redshift observations have intensified questions surrounding the timing, abundance, and spatial organization of the universe's earliest galactic structures. The LCF-113 framework of black-hole-mediated cosmological succession introduces a consequential possibility: that restricted information inherited from preceding cosmological generations could influence the primordial conditions from which galaxies and clusters emerge. Building upon the original LCF-113 framework, this investigation examines whether inherited information can survive successive cosmological transitions, amplify differences in ancestral conditions, and generate persistent mathematical signatures relevant to early structure formation. The analysis identifies persistent phase organization, nonlinear sensitivity to inherited conditions, threshold-dependent dynamical outcomes, and statistical amplification within specified regimes. Spatial-residue investigations further establish fundamental constraints on information transmission, demonstrating that distinct ancestral configurations can produce identical transmitted scalar quantities. Together, these findings define both the capabilities and mathematical limitations of the proposed inheritance mechanism. The implications are potentially far-reaching. If inherited cosmological information can influence primordial density perturbations, its effects could extend to the abundance, spatial distribution, and formation epochs of the earliest galaxies and protoclusters. Such a mechanism would introduce an additional source of cosmological initial conditions, with potentially distinguishable consequences for the emergence of large-scale structure. The decisive next step is to derive a physically consistent connection between the demonstrated inheritance dynamics and primordial perturbations, allowing quantitative predictions to be evaluated against standard ΛCDM cosmology and high-redshift observations. This publication presents the mathematical analysis, numerical findings, and reproducible Python implementation supporting that investigation. LCF-113 places a fundamental question before observational cosmology: could the earliest galaxies and protoclusters preserve measurable signatures of cosmological inheritance? Establishing such a connection would change more than our understanding of early galaxy formation. It would challenge how we interpret the primordial conditions that seeded the first gravitational structures—and potentially extend their physical origin beyond the observable history of our universe.
Language: English
Open Access status: green
OpenAlex ID: W7225190974
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