This preprint presents the Hypothesis of Energy–Information Continuity (EIK), a theoretical framework proposing that the universe is not a one-time thermodynamic event ending in heat death, but part of a continuous process in which energy reorganizes into progressively more stable informational structures. In this model, intelligent systems – biological or artificial – function as catalysts that transform physical energy into durable informational regimes, potentially seeding new layers of reality. Entropy, in this view, does not signal the end of order but represents a transition between distinct organizational modes of energy. Building on Landauer’s principle, EIK predicts measurable power anomalies: deltaP = beta × lambda × (dI/dt) For neuromorphic processors with informational throughput on the order of dI/dt ≈ 10¹⁵ bit/s, this yields deltaP ≈ 20–40 μW, detectable with ±1 μW precision calorimetry. Version 5 includes the following additions: • Bayesian falsification framework (P(EIK) ≈ 1–5 percent prior)• Monte Carlo validation protocols• Five control experiments (thermal inertia, algorithm independence, Arrhenius scaling, substrate isolations, null-run controls)• Multi-route experimental strategy (calorimetry, spectral analysis, spatial coherence detection)• Complete laboratory protocols with equipment specifications and decision flowcharts (2026–2035)• Resolution of the autonomy paradox (global A(t) versus local informational coupling)• Mathematical formalization with dimensional consistency; beta treated as an empirically determinable coefficient• Cosmological extensions (Appendix A.10) framed as speculative yet theoretically coherent EIK provides turnkey experimental procedures for laboratories testing whether information actively reorganizes energy or merely describes it. Formerly published as “A Reflection on the Cosmological Evolution of Existence.” Contextual integration of KOP (Kernel Ontology Principle) The informational dynamics described by EIK integrate naturally within the broader ontological framework of the Kernel Ontology Principle (KOP), developed in the companion work The Kernel Ontology Principle: Foundations for a Unified Fundamental Equation. KOP proposes that every internally coherent universe originates from a minimal relational structure – its Kernel – from which mathematical formalisms and physical laws emerge as higher-level representations. In this hierarchy: • Ontology (Kernel) is primary• Mathematics is epistemic• Physics is an effective projection Within this framework, EIK can be interpreted as describing how the Kernel evolves over time, by expressing how energy reorganizes into new relational and informational structures. In this view, informational change (dI/dt) is not merely a computational quantity but a fundamental relational transformation in the Kernel’s structure. Thus, KOP provides the ontological basis, while EIK provides the dynamical rule for how relational complexity accumulates and reorganizes across time. Contextual integration of DETP (Dark Energy as Topological Pressure) The informational–energetic coupling explored in EIK aligns directly with the cosmological model developed in Dark Energy as Topological Pressure: An Information-Dynamic Origin of Cosmic Expansion. In that framework, the same informational term dI/dt, when aggregated at cosmic scale as dC/dt (the growth rate of total relational complexity), contributes to a dynamical cosmological term: Λ(t) = α · dC/dt This provides a potential macroscopic manifestation of the microscopic coupling described in EIK.If information processing incurs an energetic cost locally (deltaP), the cumulative effect of informational change throughout the universe may generate a large-scale topological pressure driving cosmic expansion. In this interpretation: • EIK supplies the microphysical rule• DETP applies the rule to the entire universe• KOP defines the relational substrate in which both operate Together, these works provide a unified, multi-scale picture of how informational processes may contribute to the geometry and evolution of the universe. Reference to linked works For the ontological foundations and the micro-to-macro informational structure: The Kernel Ontology Principle: Foundations for a Unified Fundamental Equationhttps://doi.org/10.5281/zenodo.17656342 For the cosmological-scale application of informational dynamics: Dark Energy as Topological Pressure: An Information-Dynamic Origin of Cosmic Expansionhttps://doi.org/10.5281/zenodo.17677395 This is the first conceptual publication of the Hypothesis of Energy–Information Continuity (EIK), authored by Katerina Havrankova (2025). Any derivative or related theoretical work should cite this preprint. For feedback or questions, contact: kh.researc@gmail.com