This paper presents a conceptual and structural characterization of the Scalar Drag Emergence Framework (SDEF) as a memory-driven, constraint-based dynamical system. Unlike conventional approaches that begin with quantum or classical formalisms, SDEF operates at a more primitive level defined by the interaction of transport, accumulated ancestry (memory), and constraint. Within this framework, familiar physical behavior arises as regime-dependent structure rather than from independent foundational laws. The paper establishes the minimal components of SDEF, including the configuration (compatibility) field, ancestry field, and transport metric, and analyzes their coupled dynamics. It shows how intrinsic memory leads to path-dependent evolution, non-commutativity of processes, and effective irreversibility. A central result is the identification of physical regimes based on the structure of the ancestry field. Quantum behavior corresponds to spatially uniform ancestry, where transport remains non-selective and symmetric. Classical behavior emerges when spatial variation in ancestry activates structural selection, leading to the formation of persistent transport pathways. Decoherence is interpreted as a transition between these regimes rather than as an independent mechanism. This work situates SDEF as a unified theoretical framework in which quantum, classical, and transitional phenomena arise from a single underlying dynamical system. It provides the conceptual foundation for subsequent regime-specific derivations while remaining self-contained as a description of the framework itself.
This paper presents a conceptual and structural characterization of the Scalar Drag Emergence Framework (SDEF) as a memory-driven, constraint-based dynamical system. Unlike conventional approaches that begin with quantum or classical formalisms, SDEF operates at a more primitive level defined by the interaction of transport, accumulated ancestry (memory), and constraint. Within this framework, familiar physical behavior arises as regime-dependent structure rather than from independent foundational laws. The paper establishes the minimal components of SDEF, including the configuration (compatibility) field, ancestry field, and transport metric, and analyzes their coupled dynamics. It shows how intrinsic memory leads to path-dependent evolution, non-commutativity of processes, and effective irreversibility. A central result is the identification of physical regimes based on the structure of the ancestry field. Quantum behavior corresponds to spatially uniform ancestry, where transport remains non-selective and symmetric. Classical behavior emerges when spatial variation in ancestry activates structural selection, leading to the formation of persistent transport pathways. Decoherence is interpreted as a transition between these regimes rather than as an independent mechanism. This work situates SDEF as a unified theoretical framework in which quantum, classical, and transitional phenomena arise from a single underlying dynamical system. It provides the conceptual foundation for subsequent regime-specific derivations while remaining self-contained as a description of the framework itself.
This paper establishes a structural interpretation of quantum-like phenomena within the Scalar Drag Emergence Framework (SDEF), a parameter-based ontology in which all behavior arises from the redistribution of conserved, bounded quantities under compatibility constraints. Quantum features—discreteness, coexistence of configurations, measurement outcomes, entanglement-like correlations, and constrained transitions—are shown to correspond to the formation, coexistence, and reconfiguration of coherent regimes: stable, compatibility-satisfying corridor configurations that support persistent propagation. Key correspondences established: Quantum Phenomenon SDEF Structural Interpretation Discrete states Stable parameter-supported coherent regimes Superposition Distributed parameter support across compatible regimes Measurement Symmetry breaking through constraint-driven redistribution Entanglement Ancestry-linked parameter coupling under symmetry preservation Spectral transitions Constrained reconfiguration pathways between stable regimes All behavior follows from redistribution under GPLA fields (Gradient, Persistence, Coherence/Loop integrity, Ancestry), with no additional primitives introduced. Parameters are neither created nor destroyed—only redistributed. Scope: This work is intentionally limited to establishing a structural bridge. It does not attempt to reproduce the full formalism of quantum mechanics, derive specific equations, or provide quantitative mapping to experimental observables. Detailed modeling, measurement protocols, and system-specific applications are deferred to subsequent work. Significance: Demonstrates that a unified, parameter-based structure can support behaviors consistent with quantum phenomenology without extending the underlying ontology, providing a foundation for further development of measurement mappings and quantitative regime modeling.
This paper presents a structural interpretation of quantum measurement within the Scalar Drag Emergence Framework (SDEF), in which physical systems are described in terms of corridor morphology and an ancestry field governing coherence and constraint. In this formulation, measurement is defined as a mapping from an underlying structural configuration to observable outcomes under imposed constraints. Particles are interpreted not as fundamental entities, but as localized realizations of this mapping. Observable probabilities arise from the geometry of projection between structure and constraint, rather than from intrinsic randomness of independent objects. Entanglement is reinterpreted as the non-separability of corridor morphology, and Bell correlations emerge naturally from the non-factorizability of the mapping process. The framework reproduces standard quantum predictions, including the cosine correlation law and maximal Bell violation, as a consequence of symmetry. Quantum mechanics is identified as a symmetry-dominant regime corresponding to spatially uniform ancestry, in which transport remains non-selective and structural selection is inactive. Beyond this regime, the framework predicts structured, anisotropic deviations from ideal behavior in non-equilibrium or high-energy environments. This work does not modify quantum mechanics, but provides a coherent structural basis for understanding measurement, entanglement, and correlation within a unified conceptual model.
This work introduces the Emergent Quantum Substrate (EQS) framework, in which memory is treated as a fundamental physical property rather than an emergent effect of environmental interactions. Within this approach, physical observables such as time, space, energy, and mass are interpreted as arising from the structure and persistence of correlations in an underlying substrate. Interactions generate memory structures whose organization defines effective physical quantities. At the formal level, the framework is described through non-Markovian dynamics governed by memory kernels, leading to a generalized integro-differential formulation that extends standard quantum evolution while recovering the Markovian limit in appropriate regimes. A central aspect of the EQS framework is its connection to experimentally testable predictions. In particular, the theory motivates the possibility that systems prepared through different interaction histories, but brought to identical final conditions, may exhibit distinct dynamical behavior. A concrete realization of this idea is developed in a separate work, where history-dependent quantum tunneling is proposed as an experimentally accessible signature of intrinsic memory effects. This work provides a conceptual and formal foundation for exploring the role of intrinsic memory in quantum systems and establishes a bridge between theoretical formulation and laboratory-scale validation.
This work presents a continuous, constraint-based interpretive framework for physical systems that unifies quantum behavior, classical structure, and cosmological evolution without introducing new forces or modifying established equations. Rather than treating quantum mechanics, electromagnetism, and general relativity as fundamentally separate domains, the paper proposes that these regimes can be understood as consistent descriptions of a shared underlying structure. The framework is built on three foundational elements: a non-geometric substrate (P_0) defining admissible configurations, interaction as the propagation of constraint, and geometry as the macroscopic record of accumulated interaction. Within this perspective, physical structure emerges through a continuous progression: distinctions enable gradients, gradients enable interaction, interaction accumulates as constraint, and constraint stabilizes into persistent configurations. The quantum–classical transition is interpreted as a continuous increase in interaction-induced constraint, while spacetime curvature reflects the large-scale organization of these interactions. The framework does not replace existing theories, but instead provides a unified conceptual interpretation that remains fully consistent with established physics across known regimes. Its value lies in clarifying relationships between domains, offering a continuous ontology of physical systems, and suggesting potential directions for further formalization.
(This version has been superceeded, see v.3) Contemporary approaches to physical unification typically emphasize dynamical laws, interpretive frameworks, or information-theoretic reconstructions. Less attention is given to the structural constraints that determine which physical descriptions can remain coherent and stable under interaction, scale transition, and aggregation. This paper develops a constraint-first analysis of coherence, arguing that persistence and unification require restrictions on admissible physical continuations that are not reducible to dynamics alone. Within the framework referred to here as Quantum Coherence Theory (QCT), coherence is treated not as a fragile quantum resource but as a structural property governed by interaction geometry and constraint density. On this view, classical behavior emerges when accumulated constraints sufficiently narrow admissible evolution, while quantum behavior re-emerges when constraints are relaxed. The account does not introduce new dynamics, collapse mechanisms, or modifications of quantum formalism, but instead clarifies the conditions under which existing formalisms yield stable, unified descriptions. The resulting constraints distinguish QCT from observer-centric, intrinsic-collapse, and purely descriptive decoherence accounts, while remaining compatible with globally unitary dynamics. Formal analysis in later sections develops operational redundancy conditions, admissibility constraints on joint states, and rigidity-style arguments linking redundant record structure to the stability of classical descriptions. These results do not constitute a complete theory of unification, but they narrow the space of physically admissible descriptions and clarify the structural role of coherence in bridging quantum and classical regimes.
This work introduces the Generative Principle of the Universal Correlational Lattice (UCL), a pre-geometric theoretical framework in which physical reality is described as an evolving network of correlational sites, rather than as fields defined on a pre-existing spacetime background. In the UCL framework, spacetime, dynamics, quantum uncertainty, and effective physical observables emerge from structured correlations encoded in a universal kernel. The theory does not postulate spacetime, wavefunctions, or classical fields as fundamental objects. Instead, it treats them as effective constructs arising from coarse-grained correlational dynamics. A central element of the framework is the introduction of internal times associated with correlational sites, whose relational synchronization generates an emergent external time only at the effective level. Temporal evolution is therefore defined intrinsically, without requiring a fundamental global clock or background metric. The Generative Principle specifies: how admissible correlational configurations are formed, how dynamical evolution arises as a one-parameter flow in correlational space, and how stable, observable regimes emerge through functional selection and decoherence-like processes intrinsic to the lattice. Importantly, the framework provides a well-defined notion of observables as emergent, operational quantities derived from correlational averages, spectral properties of the kernel, and effective coarse-graining procedures. These observables are not postulated ad hoc, but arise naturally from the internal structure of the lattice and its generative dynamics. Quantum uncertainty is interpreted as emergent and contextual, reflecting partial access to the full correlational state rather than a fundamental indeterminism. In principle, the framework allows deterministic underlying dynamics while reproducing effective probabilistic behavior at observable scales. The UCL is constructed to be compatible with known physical theories in appropriate limits, while remaining ontologically independent from both classical spacetime and traditional quantum mechanical foundations. It provides a unified conceptual basis for addressing quantum theory, gravity, and cosmology within a single correlational framework. This paper focuses on the foundational and generative aspects of the UCL. Specific phenomenological models and numerical predictions are deferred to subsequent works, where concrete kernels and parameter regimes are explored.