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Asymmetric Entanglement as the Generator of Time

Moses, Simon

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Time is typically treated as a fundamental background parameter or as an emergent property arising from thermodynamic or geometric considerations. In this report we explore a different origin: the generation of time through asymmetric quantum entanglement. A symmetrically entangled pair possesses exchange-indistinguishability; its joint dynamics yield no relational change and therefore no internal temporal reference. However, when symmetry is broken—through a structural or dynamical asymmetry applied to one member of the pair—the correlations between the two subsystems evolve non-identically while remaining entangled. This relational change provides the minimal operational signature of a “tick,” offering a microscopic mechanism for the emergence of time. We construct and analyse a minimal asymmetric entanglement unit comprising an A–B entangled pair and a third system C that couples asymmetrically to A. Numerical simulations of this triplet demonstrate coherent periodic structure in both the trace distance of B relative to its symmetric evolution and in the concurrence of the A–B entanglement scaffold. These oscillations constitute a locally generated temporal reference. We then extend this model to chains of multiple A–B–C units and show that locally generated ticks propagate through neighboring cells, giving rise to a smooth temporal density field along the chain. This illustrates a potential pathway by which microscopic asymmetry-induced ticks may accumulate to form a macroscopic temporal frame. Although exploratory in scope, this work provides one of the most explicit and operational demonstrations to date of how time may arise from purely quantum-mechanical processes. The model highlights asymmetric entanglement as a plausible generator of temporal structure and lays the groundwork for coarse-grained temporal field theories and potential connections to gravitational time dilation.

DOI
10.6084/m9.figshare.30646253

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Time is typically treated as a fundamental background parameter or as an emergent property arising from thermodynamic or geometric considerations. In this report we explore a different origin: the generation of time through asymmetric quantum entanglement. A symmetrically entangled pair possesses exchange-indistinguishability; its joint dynamics yield no relational change and therefore no internal temporal reference. However, when symmetry is broken—through a structural or dynamical asymmetry applied to one member of the pair—the correlations between the two subsystems evolve non-identically while remaining entangled. This relational change provides the minimal operational signature of a “tick,” offering a microscopic mechanism for the emergence of time. We construct and analyse a minimal asymmetric entanglement unit comprising an A–B entangled pair and a third system C that couples asymmetrically to A. Numerical simulations of this triplet demonstrate coherent periodic structure in both the trace distance of B relative to its symmetric evolution and in the concurrence of the A–B entanglement scaffold. These oscillations constitute a locally generated temporal reference. We then extend this model to chains of multiple A–B–C units and show that locally generated ticks propagate through neighboring cells, giving rise to a smooth temporal density field along the chain. This illustrates a potential pathway by which microscopic asymmetry-induced ticks may accumulate to form a macroscopic temporal frame. Although exploratory in scope, this work provides one of the most explicit and operational demonstrations to date of how time may arise from purely quantum-mechanical processes. The model highlights asymmetric entanglement as a plausible generator of temporal structure and lays the groundwork for coarse-grained temporal field theories and potential connections to gravitational time dilation.
This work investigates how temporal order and causal structure can emerge from quantum dynamics without assuming a pre-existing background notion of time. Pre­vious studies showed that asymmetric entanglement can generate internally coherent oscillations (”relational ticks”) that serve as a local, operational signature of time for the entangled subsystem. Here we extend this framework to address a fundamental question: can such locally generated ticks propagate to neighbouring systems?Using a minimal asymmetric two-qubit pair as the fundamental temporal element, we demonstrate two key results. The first is that entanglement asymmetry produces a stable internal beat frequency. The second is when these pairs are coupled along a finite quantum chain, the resulting temporal density propagates outward in a clear, finite-speed light-cone structure. Numerical simulations using a Lieb–Robinson style half-maximum criterion reveal a bounded signalling speed v∗, confirming that temporal influence spreads only within a causal cone.Importantly, this finite propagation speed arises directly from local quantum in­teractions and does not require any relativistic postulates, Lorentz symmetry, or a predefined time coordinate. In the coarse-grained limit, the temporal density exhibits wave-like behaviour with a characteristic speed approaching v∗, suggesting a pathway from microscopic entanglement asymmetry to macroscopic causal order.These results support a concrete mechanistic model in which time emerges from movement, causality emerges from locality, and a finite propagation speed arises nat­urally from asymmetric entanglement alone. This provides a plausible route by which relativistic causal structure may originate from the dynamics of quantum correlations.
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.
We present a relational framework in which temporal structure is not fundamental but emerges from correlations within a globally stationary quantum state. Each subsystem includes an internal clock, and conditional states evolve effectively with respect to these internal readings. The construction naturally extends to relativistic motion, gravitational redshift, and cosmological expansion, leading to a unified emergent-time functional valid across diverse physical regimes. The theory reproduces classical time dilation, predicts correlation-dependent deviations from standard evolution, and suggests that non-interacting or massless particles exhibit negligible internal time. These consequences open directions for conceptual and experimental investigations in the foundations of temporal physics, from multi-clock quantum systems to precision metrology and cosmological settings. In particular, the framework suggests measurable deviation from standard quantum evolution for highly entangled systems and predicts negligible internal time for massless particles.
Abstract The physical status of time remains one of the most persistent open questions in fundamental physics. In quantum mechanics, time appears as an external parameter governing evolution but not as an observable, while in general relativity it is embedded in the geometric structure of spacetime and becomes observer-dependent. Despite their empirical success, neither framework explains the physical origin of time or its singular role among fundamental quantities. In this work, we propose an emergent interpretation of physical time grounded in quantum phase. Phase is treated as a pre-temporal structural feature of quantum systems, rather than as a quantity defined with respect to an underlying temporal parameter. Energy is interpreted as a relational characterisation of regularities in phase structure, and proper time emerges only in contexts where phase accumulation can be compared and synchronised between interacting systems. An isolated quantum system may possess phase, but it does not possess physical time in the operational sense; time arises only through relational compatibility. This approach does not introduce new fundamental dynamics nor posit a physical mechanism responsible for the generation of time. Instead, it establishes an ontological hierarchy in which phase is fundamental, energy is relational, and time is a phenomenological quantity that emerges from stable conditions of synchronisation. Within this framework, classical reality corresponds to domains of temporal compatibility, while loss of compatibility underlies the emergence of horizons and geometric structure. By reframing time as an emergent relational phenomenon rooted in quantum phase, this work provides a coherent interpretative framework in which the absence of a time operator in quantum mechanics and the difficulty of quantising time and gravity are understood as consequences of their non-fundamental status, rather than as shortcomings of existing formalisms.
This work proposes that time is not a fundamental cause but an emergent consequence of matter’s self-organization. At the deepest level, matter and spacetime possess complete temporal symmetry, allowing bidirectional time. As matter becomes increasingly complex — from particles to macroscopic structures and living systems — this symmetry progressively breaks. The breaking of temporal symmetry gives rise to irreversibility, memory, decoherence, the arrow of time, and the emergence of classical reality. Within this framework, classical matter represents only a tiny, chiral, asymmetrical fraction of a deeper racemic quantum domain existing in dual time. The visible universe arises as a projection — a “shadow” — of this temporally symmetric metastructure. From this perspective, relativity may be interpreted as a special, effectively classical case of quantum mechanics, emerging from higher-order organizational processes. Temporal self-organization thus provides a unified conceptual pathway linking quantum mechanics, relativity, matter–antimatter asymmetry, and the cosmological constant. Although this work does not claim to provide a complete unified theory, it offers a conceptual reorientation: a shift that replaces numerous disconnected explanatory “epicycles” with a simpler underlying principle based on temporal self-organization.Within this perspective, several seemingly independent phenomena — including the arrow of time, matter–antimatter asymmetry, decoherence, and the small positive cosmological constant — may be understood as different manifestations of a single fundamental process: the breaking of an underlying bidirectional temporal symmetry.
This paper presents a unified formulation of the origin of the arrow of time in classical and quantum mechanics. We begin with a mechanical analysis of a one-dimensional three-particle system, which provides a concrete example in which macroscopic irreversibility emerges despite microscopically reversible dynamics. By abstracting this mechanism, we identify coarse-graining as the essential ingredient responsible for macroscopic time asymmetry. We then formulate a general structural criterion for the thermodynamic arrow of time. We show that when microscopic time evolution forms a group while the induced macroscopic evolution forms only a semigroup, macroscopic time-reversal symmetry is necessarily broken. We prove that this semigroup structure arises if and only if the coarse-graining map from microscopic to macroscopic states is non-injective. This result holds independently of whether the underlying system is classical or quantum. In the quantum case, using density matrices, antiunitary time reversal, and CPTP coarse-graining maps, we show that macroscopic irreversibility follows inevitably from information loss, without requiring any asymmetry in the microscopic laws. Our results demonstrate that the thermodynamic arrow of time has a universal structural origin: the loss of microscopic information inherent in coarse-graining.