Mathematical and methodological appendices to the theoretical framework of the three-level emergent architecture of social time. Includes:- Appendix A: Strategy for empirical validation- Appendix B: Formal mathematical description- Appendix C: Axiomatic block of the meta-language- Appendix D: Operator formalism of order effects and contextuality The appendices formalize key concepts: contextuality (Level 1), measurement as ontological collapse (Level 2), and coherence as emergent social temporality (Level 3).
Mathematical and methodological appendices to the theoretical framework of the three-level emergent architecture of social time. Includes:- Appendix A: Strategy for empirical validation- Appendix B: Formal mathematical description- Appendix C: Axiomatic block of the meta-language- Appendix D: Operator formalism of order effects and contextuality The appendices formalize key concepts: contextuality (Level 1), measurement as ontological collapse (Level 2), and coherence as emergent social temporality (Level 3).
This working paper proposes a three-level emergent architecture of social time, describing the transition from timeless informational potentiality through a subjective dimension to collective temporality. Drawing upon Sorkin's anhomomorphic logic and Q-methodology, we argue that social time arises not through the summation of individual states (the classical model), but through the coherence of contextual subjective collapses (the non-classical model). Each level—Information, Measurement/Subjectivity, and Social Time—represents a distinct ontological and logical regime, where transitions are governed by acts of measurement and collective synchronisation. This framework challenges the additive-commutative assumptions of classical sociology, positing social temporality as an emergent effect of non-local, context-dependent interactions. The paper operationalises key sociological concepts—Bourdieu's habitus, Giddens's structuration, and Emirbayer & Mische's temporal agency—through the three-level architecture, demonstrating that these are different manifestations of a single fundamental process: the decoherence of the social. Empirical analysis of Russian public opinion dynamics during the 2022 invasion of Ukraine reveals systematic anomalies in classical explanations (rally effect, fear of repression, propaganda), which are predicted a priori by the quantum coherence model. The paper proposes specific empirical tests for discriminating between classical and non-classical models, including violations of Bell-CHSH inequalities in social correlations. This work is part of a broader research programme connecting the emergence of time in quantum gravity with the emergence of social time through a common logical foundation.
This work proposes a conceptual framework linking the emergence of time in quantum gravity with the emergence of social time through a shared logical foundation. In physics, loop quantum gravity and causal set theory demonstrate the absence of time at the fundamental level. Extending this perspective to social reality through Q-methodology, the study operationalizes quantum-like logical features — contextuality, non-commutativity, superposition, and collapse — in the analysis of subjectivity. Drawing on Sorkin’s anhomomorphic logic, we identify a structural isomorphism between physical and social informational processes. The framework advances three empirically testable predictions concerning order effects in Q-sorting, interference patterns in meaning evaluations, and potential violations of Bell-type inequalities in social correlations. It argues that social time emerges from communicative networks rather than individual consciousness, addressing objections related to decoherence, category errors, and the transition from individual to collective phenomena. Acknowledging alternative formalisms (GTR, HMI) and unresolved empirical questions, the paper positions its approach as a form of cautious realism — a falsifiable hypothesis with concrete tests.
This paper develops a consistent and self-contained formulation of external (physical) time as an emergent quantity, arising from the internal temporal evolution of correlational sites within the Universal Correlational Lattice (UCL) framework. Rather than assuming time as a fundamental background parameter, the theory distinguishes between: Internal times, defined locally at each correlational site through intrinsic dynamical evolution, and External time, which emerges relationally from the synchronization, ordering, and stability of correlations among multiple sites. The work formalizes how a coherent, observer-independent notion of temporal flow can arise without postulating a pre-existing global clock. External time is shown to correspond to a coarse-grained, effective parameter that captures persistent, ordered correlations across the correlational network, while remaining compatible with regimes where no global time is well-defined. Key results include: A precise definition of temporal evolution along internal time without reference to external time units. The emergence of a one-parameter effective temporal ordering from correlational dynamics. A clear separation between pre-geometric (timeless or multi-temporal) regimes and geometric regimes where an effective spacetime description becomes valid. Conceptual and mathematical consistency with relativistic causality, decoherence, and macroscopic temporal stability. This framework provides a natural resolution to longstanding tensions between quantum theory and general relativity regarding the status of time, without invoking collapse postulates or external observers. Time is not fundamental, but real and physical as an emergent, relational structure. The paper is intended for researchers interested in foundational questions of time, quantum gravity, emergent spacetime, and relational approaches to physics.
This paper proposes a three-level ontological framework in which the arrow of time emerges from a pre-temporal layer of quantum processes. At the fundamental level, reality is described as a space of correlations and processes without intrinsic temporal orientation. A regime of projection and stabilization—analogous to a supermap—selects a restricted class of operational descriptions, inducing an effective arrow of time through coarse-graining and decoherence. At the emergent level, this stabilized framework gives rise to the classical-relativistic world, including lived temporality and phenomenal consciousness. The approach is discussed in light of recent experiments on controlled temporal frames and process-matrix formalisms.
This project investigates the emergence of time from a fundamentally timeless description of the universe. Rather than assuming time as a primitive background parameter, we study the physical and informational conditions under which temporal ordering, dynamics, and irreversibility appear for an observer embedded in the system. The core of the framework is a unified relational formula—extending the Page–Wootters mechanism—that shows how three traditionally distinct aspects of the “problem of time” arise from the same operational structure: (i) quantum dynamics from conditioning on physical clock states, (ii) the thermodynamic arrow from partial access to environmental degrees of freedom, and (iii) observer-dependent time from the locality of the clock subsystem. Crucially, the framework does not modify unitary quantum mechanics, introduce collapse postulates, or assume a fundamental flow of time. All temporal features emerge from projection, partial trace, and normalization applied to a single global atemporal state satisfying a Hamiltonian constraint. The project includes analytical results, numerical simulations (implemented in QuTiP), pedagogical companion notes, and philosophical analysis. Together, these components support a central claim: time is not a property of the universe itself, but a property of restricted descriptions generated by physical observers with limited informational access. This OSF repository serves as a living container for the formal development, conceptual interpretation, and future extensions of this observer-dependent approach to temporal emergence.
We propose the Phase-Ordering Time Theory (POTT), which reframes time as an index of internal phase alignment rather than an external coordinate. Across neuroscience, quantum measurement, cognition, AI systems, and large-scale social dynamics, we show that events consistently emerge when underlying micro-scale phase structures converge toward an observer-dependent threshold. Precursor phenomena—such as the readiness potential in motor initiation, interference visibility in quantum systems, semantic anticipation in language, predictive intuition, and civilizational “early tremors”—share a common structure: rapid increases in the phase-ordering functional𝑆(𝑡) prior to collapse-like transitions.Within this framework, thearrow of time arises not from entropy increase but from the irreversibility of phase ordering. This shift resolves long-standing paradoxes linking thermodynamic asymmetry, consciousness timing(e.g., Libet-typeexperiments),and measurement-induced collapse in quantum mechanics. POTT unifies these disparate domains by describing time as the progression from disordered, low-alignment configurations toward structured, high-alignment states relative to an observer’s internal phase field.We formalize this perspective by defining a measurable phase-ordering functional, demonstrating its operational equivalents across domains—PLV signals in neuroscience, interference visibility in quantum optics, activation-phase coherence in AI models, and synchronization metrics in social systems. The theory yields concrete, falsifiable predictions, including identifiable precursor dynamics corresponding to 𝑑𝑆/𝑑𝑡 and collapse events occurring sharply once 𝑆(𝑡) exceeds a critical threshold 𝑆𝑐.By interpreting time, consciousness, decision-making, and observation as manifestations of a single alignment process, POTT provides an integrated mathematical and philosophical account of temporal structure that is empirically testable and cross-disciplinary. This framework suggests that ordering—not entropy—forms the fundamental engine behind temporal asymmetry, event formation, and the emergence of interpretable reality.