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Unified Theoretical Corpus on Observability, Mathematics, and Structural Regimes (Born - Einstein)

Wilson John Sterking Lauret

Published May 3, 2026• 0 citations
Publisher

Abstract

This publication presents a unified theoretical corpus integrating UCQ, DUAL, the memory-constrained double-slit framework, and Crowd-Based Dynamics (CBD).It establishes a structural interpretation of observability as a projection of a non-Markovian system governed by memory, interaction, and informational constraints.Mathematics are treated as distributed structural properties across topology, projection, and collective stabilization rather than external descriptive tools.Probability is redefined as the observable effect of constrained projection and informational compression.The work provides a structural reformulation of the Born–Einstein debate as a difference of observability regimes.The unified system is formalized through an extended state space linking structure, information, interaction, and memory.CBD laws, including mimetic saturation and temporal governability, are used to interpret regime transitions and loss of fine-grained observability.The framework connects physical, cognitive, and collective systems under a single architecture of regime dynamics.This corpus establishes a theoretical foundation for empirical validation, computational modeling, and interdisciplinary integration.

DOI
10.5281/zenodo.19991922

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This publication presents a unified theoretical corpus integrating UCQ, DUAL, the memory-constrained double-slit framework, and Crowd-Based Dynamics (CBD).It establishes a structural interpretation of observability as a projection of a non-Markovian system governed by memory, interaction, and informational constraints.Mathematics are treated as distributed structural properties across topology, projection, and collective stabilization rather than external descriptive tools.Probability is redefined as the observable effect of constrained projection and informational compression.The work provides a structural reformulation of the Born–Einstein debate as a difference of observability regimes.The unified system is formalized through an extended state space linking structure, information, interaction, and memory.CBD laws, including mimetic saturation and temporal governability, are used to interpret regime transitions and loss of fine-grained observability.The framework connects physical, cognitive, and collective systems under a single architecture of regime dynamics.This corpus establishes a theoretical foundation for empirical validation, computational modeling, and interdisciplinary integration.
This work presents a complete and unified corpus dedicated to the reformulation of the double-slit experiment under a memory-constrained observability framework. It integrates three foundational structures: the UCQ (Unified Cosmology–Quantum Framework), the DUAL (Dual-Substrate Framework), and the CBD (Crowd-Based Dynamics), forming a coherent and closed system spanning theoretical, mathematical, experimental, and validation layers. The central contribution lies in redefining quantum observation as a non-Markovian process, where observable outcomes depend not only on instantaneous measurement conditions but also on the historical trajectory of the system. Memory is introduced as a fundamental structural variable, interacting with observability and contextual imbalance to produce regime-dependent dynamics. The corpus is structured into a progressive architecture (F1–F15), covering foundational hypotheses, formal critique of the Markovian assumption, extended mathematical formulation, transformation mechanisms, threshold dynamics, operator-level reconstruction of measurement, empirical validation protocols, and full theoretical closure. This progression ensures internal coherence and scientific rigor across all levels of the framework. Within the CBD perspective, the double-slit system is interpreted as a minimal complex adaptive system governed by accumulation, saturation, threshold crossing, and stabilization. This interpretation establishes a direct link between quantum phenomena and broader classes of dynamic systems, suggesting structural universality across scales. The framework produces clear and testable predictions, including non-Markovian signatures, hysteresis effects, order dependence, and threshold-driven regime transitions. It remains fully compatible with standard quantum mechanics as a limiting case, while extending its interpretative and structural scope. By combining formal consistency, experimental accessibility, and falsifiability conditions, this corpus establishes the memory-constrained double-slit system as a complete scientific model. It provides a unified foundation for further research in quantum physics, complex systems, and the study of observability as a dynamic and structured process.
The Unified Cosmology–Quantum (UCQ) framework proposes a structural approach to the study of physical reality. It integrates concepts from complex systems, collective dynamics, and observer-dependent processes. Developed as an extension of the Crowd-Based Dynamics (CBD) framework, it formalizes observability conditions. Reality is modeled as an emergent configuration shaped by internal dynamics and interaction structures. The framework emphasizes stability regimes, transition thresholds, and informational constraints. It considers the observer as an active component participating in the formation of observable states. UCQ provides a systemic interpretation linking quantum phenomena and cosmological organization. It introduces a regime-based understanding of stability, reversibility, and structural limits. This work contributes to bridging complex systems theory with foundational questions in physics.
This paper proposes a complete unified theoretical framework integrating Duality, Uncertainty, Relativity, and Psychological Expectation into a single mathematical, philosophical, and scientific structure of reality. The framework asserts that reality is not an absolute entity but an emergent relational construct arising from observer-dependent interpretations constrained by uncertainty and structured through dual oppositions, while being dynamically shaped by predictive cognitive models. By synthesizing physics (quantum mechanics, relativity), mathematics (incompleteness, probability), neuroscience (predictive processing), psychology (expectation-emotion dynamics), philosophy (existentialism, phenomenology, dialectics), and socio-political theory, this work constructs a comprehensive model of existence as a multi-layered interpretative lattice. The theory establishes that all experiential, physical, and conceptual phenomena emerge from the interaction of these four foundational pillars across multiple scales of reality.
Modern physics has achieved extraordinary predictive success, yet it continues to face unresolved conceptual tensions concerning the role of the observer, the nature of information, and the origin of physical structure. From quantum measurement to cosmology, the assumption of an observer-neutral reality increasingly appears insufficient to fully account for empirical phenomena and theoretical inconsistencies. This manifesto proposes an Informational Observer-Centered Framework, in which information is treated as a fundamental ontological substrate and observation as an active, structured process rather than a passive act of measurement. Within this perspective, physical systems, observers, and informational exchanges form a unified dynamics, where state reduction, decoherence, and emergent classicality arise from informational interactions and constraints. Rather than introducing a new closed theory, this manifesto establishes a conceptual foundation unifying several complementary models—including Informational State Dynamics, observer-dependent informational compression, and informational interpretations of quantum and cosmological phenomena—into a coherent research program. The framework is explicitly non-dogmatic, open to falsification, and intended as a guiding structure for further theoretical development and empirical testing. The aim of this document is not to replace existing physical theories, but to clarify their conceptual boundaries and propose an integrative lens through which unresolved problems in quantum foundations, cosmology, and cognitive systems may be systematically explored.
This work presents a conceptual and representational framework aimed at clarifying the structural relationships among established physical theories across relativistic, quantum, and cosmological regimes. Rather than proposing new dynamical laws, particles, or experimentally testable predictions, the manuscript focuses on how existing physical descriptions may be consistently interpreted within a unified representational structure. The proposed Dual-Spacetime Projection Framework distinguishes between an underlying descriptive domain and an observed effective spacetime, connected through a scale-dependent projection. This distinction is intended as a formal and interpretative tool, not as an ontological claim about the existence of multiple physical spacetimes. Within this perspective, several foundational features of modern physics—such as Lorentz invariance, finite signal propagation, quantum uncertainty, and large-scale cosmological behavior—are discussed as consequences of representational structure rather than as independent postulates. The manuscript is positioned as a contribution to the foundations of theoretical physics, offering a coherent conceptual lens for organizing and interpreting existing theories. It is intended for readers interested in foundational questions, conceptual unification, and the representational aspects of physical law, and does not rely on experimental data or numerical simulation.
This record introduces Unified Information Framework (UIF) v12.0, a canonically locked, pre-empirical theoretical framework for fundamental physics. UIF is formulated as an information-theoretic structure in which physical laws arise as optimal representations of an underlying information space, constrained by logical consistency and a single variational principle on representational entropy, delta S^R = 0 Version v12.0 establishes three necessity results without invoking dynamical postulates, action principles, or empirical fitting: the structural necessity of a late-time deviation parameter ε\varepsilonε, the uniqueness of the Born probability measure derived from projection consistency, and the uniqueness of the Einstein tensor structure as the only stable second-order geometric representation compatible with locality and conservation. Within UIF, quantum mechanics, general relativity, and cosmological structure appear as correspondence regimes of a low-dimensional representational domain, rather than as fundamental ontological laws. This version is explicitly pre-empirical: observational data play no constitutive role and are deliberately deferred to later interface stages.UIF v12.0 therefore serves as a closed structural foundation, intended for subsequent phenomenological and observational consistency analyses.