The Entropy Footprint Hypothesis proposes that the universe does not exist as a continuously persisting background, but is instead constituted by discrete generative events. Each generative event actualizes a single physical state from a quantum probability cloud of multiple potential states. This act of actualization is fundamentally irreversible, as unrealized possibilities cannot be restored to their original probabilistic structure. The loss of inaccessible information resulting from each generative event is defined as an entropy footprint. Within this framework, entropy is reinterpreted not as a passive byproduct of physical evolution or disorder, but as the intrinsic informational cost of reality generation. Time is not treated as a flowing dimension, but as an ordered sequence of generative events. The arrow of time emerges from the accumulation of entropy footprints rather than from macroscopic thermodynamic asymmetry alone. This work integrates concepts from quantum mechanics, statistical physics, information theory, and philosophy of time to formulate a generative universe model. The hypothesis offers a unified explanatory perspective on entropy increase, temporal directionality, irreversibility, and quantum state actualization, while remaining compatible with established physical theories. Potential implications for cosmology, black hole entropy, decoherence, and the ontology of time are discussed.
The Quantum Blueprint Formalism (QBF) describes the emergence of coherent structure through projection from a pre-coherent space M_s to a coherence manifold M_Θ. Previous papers have established the topological structure of M_s (Schmieke, 2026l), the emergence of time from circulation (Schmieke, 2026m), and the dissolution of the quantum measurement problem (Schmieke, 2026j). This paper addresses a fundamental question: What is the origin of spacetime? Is spacetime a feature of M_s, of M_Θ, or of the projection itself? We establish three central results. First, M_s is pre-spatial: it has topological structure but no metric. Distance, angle, and dimension are not defined on M_s. Second, spacetime emerges through projection: the metric structure of M_Θ arises from the geometry of the projection map π_Θ and the structure of the tension functional Φ. The dimension of spacetime (3+1) is not arbitrary but determined by the admissibility conditions. Third, the metric signature (−,+,+,+) emerges from the distinction between temporal circulation (Schmieke, 2026m) and spatial distinction: time is the direction of Ω_s, space comprises the directions orthogonal to Ω_s. These results connect the QBF to approaches in quantum gravity. The emergent metric is compatible with general relativity at large scales but predicts deviations at the Planck scale where the projection structure becomes visible. We derive a minimum length scale l_min \~ √(ℏG/c³) below which spatial distinctions cannot be coherently projected---this is the Planck length, now understood as a projection limit rather than a fundamental discreteness.
This paper presents an interpretive framework for understanding quantum phenomena through the lens of process ontology. We propose that reality consists of discrete actualization events—random selections from pre-defined fundamental options—occurring in Hamilton space. By reinterpreting established quantum mechanics, field theory, and thermodynamics, we show how particles, atoms, and simple structures emerge as stable patterns of repeated actualizations. Energy represents capacity for actualization, information records actualization history, and classical objects emerge as high-probability attractors in the actualization sequence. This framework requires no new physics; rather, it organizes existing experimental and theoretical results into a coherent ontological picture. We demonstrate the framework through detailed examples including hydrogen atom formation, quantum measurement, particle decay, and photon emission. Version 2 will extend this foundation to address molecular complexity, biological systems, and consciousness. Keywords: Process ontology, quantum measurement, actualization, Hamilton space, discrete events, fundamental options, information theory, quantum foundations