The Information Kernel Framework Dataset: Foundational Papers and the Kernel–Continuity Architecture

The Information Kernel Framework Dataset brings together five foundational works that collectively define a unified informational architecture for ontology, physical law, universe formation and cosmic expansion. Across these works, physical reality is modeled as an evolving relational system in which structure, dynamics and cosmology emerge from the organization of information. The dataset presents a coherent theoretical program in which a minimal relational kernel grounds ontology, and where informational processes drive the emergence of structure across all scales - from fundamental interactions to the behavior of entire cosmological domains. The dataset includes: Information Kernel Framework – Foundational Overview and Unified Architecturehttps://doi.org/10.5281/zenodo.18437199 The Kernel Ontology Principle (KOP)https://doi.org/10.5281/zenodo.17809230 Energy–Information Continuity Hypothesis (EIK)https://doi.org/10.5281/zenodo.18446650 Information-Centric Cosmogenesis (ICC)https://doi.org/10.5281/zenodo.17694375 Dark Energy as Topological Pressure (DETP)https://doi.org/10.5281/zenodo.17677395 KOP defines a minimal relational substrate capable of generating effective physical laws, treating mathematics as representational rather than ontological. The updated edition formalizes this substrate through the Fundamental Kernel Relation (FKR) - the informationally minimal mathematical object capable of generating all invariants of the kernel. Appendix C introduces an operational formulation in which the kernel is expressed as a weighted relational graph K = (X, R, Omega), with structural complexity quantified by C(K) = L(K) + S(K), where L(K) is minimal description length and S(K) is spectral entropy. Within this framework, FKR functions as the compressed generative structure from which scale-dependent physical laws arise. EIK introduces a dynamic mechanism linking informational organization to subtle energetic effects. It provides a falsifiable protocol for detecting small, systematic energetic deviations (deltaP) in highly organized or autonomous information-processing systems, particularly relevant for next-generation AI and AGI. ICC formulates a generative model of cosmogenesis: universes arise through informational phase transitions when kernels become autonomous. Black holes and highly organized intelligence are treated as potential generative pathways through which pre-autonomous kernels may cross the ignition threshold. DETP presents a complexity-driven explanation of cosmic acceleration, interpreting dark energy as a topological response of spacetime to the monotonic growth of global structural and entanglement-based complexity. It predicts correlations between cosmological expansion history and the evolution of relational complexity. Taken together, these works outline a continuous informational hierarchy: foundational ontology (kernel + FKR) →informational dynamics with experimentally testable predictions →emergence of universe-scale domains →complexity-driven cosmological behavior. This dataset consolidates the complete theoretical basis of the Information Kernel Framework (IKF) as a reference for researchers in theoretical physics, cosmology, information theory, emergent spacetime models, AI dynamics and complexity science. It provides a coherent platform for further theoretical development and identifies multiple avenues for empirical testing, including laboratory-level informational–energetic effects predicted by EIK, cosmological signatures predicted by DETP and structural constraints implied by the FKR formulation within KOP. For feedback or questions, contact: [e-mail]