This essay proposes that the arrow of time — the intrinsic directionality and discreteness of temporal evolution — should be treated as a foundational axiom of physics rather than a phenomenon to be derived from other principles. The argument proceeds in stages: (1) entropy increase is identified as a statistical symptom rather than a fundamental law; (2) causality is shown to presuppose temporal directionality, making directionality logically prior; (3) temporal directionality is argued to function as a Gödelian presupposition of physical formalism — necessary for the system to operate but inexpressible within it; (4) the historical analogy with the ultraviolet catastrophe motivates the addition of discreteness to directionality; (5) the combined axiom of Discrete Directed Temporality (DDT) is argued to dissolve the quantum measurement problem, resolve spacetime singularities, address the cosmological constant discrepancy, force spatial discreteness through Lorentz covariance, and provide a natural framework for unifying quantum mechanics and general relativity. The essay positions DDT relative to existing programs (causal set theory, causal dynamical triangulations, loop quantum gravity, GRW collapse models) and identifies testable predictions that distinguish it from standard physics.
This essay proposes that the arrow of time — the intrinsic directionality and discreteness of temporal evolution — should be treated as a foundational axiom of physics rather than a phenomenon to be derived from other principles. The argument proceeds in stages: (1) entropy increase is identified as a statistical symptom rather than a fundamental law; (2) causality is shown to presuppose temporal directionality, making directionality logically prior; (3) temporal directionality is argued to function as a Gödelian presupposition of physical formalism — necessary for the system to operate but inexpressible within it; (4) the historical analogy with the ultraviolet catastrophe motivates the addition of discreteness to directionality; (5) the combined axiom of Discrete Directed Temporality (DDT) is argued to dissolve the quantum measurement problem, resolve spacetime singularities, address the cosmological constant discrepancy, force spatial discreteness through Lorentz covariance, and provide a natural framework for unifying quantum mechanics and general relativity. The essay positions DDT relative to existing programs (causal set theory, causal dynamical triangulations, loop quantum gravity, GRW collapse models) and identifies testable predictions that distinguish it from standard physics.
Abstract The ontological status of time remains unresolved in fundamental physics. In quantum mechanics, time appears as an external classical parameter, whereas in general relativity it is dynamical and intertwined with spacetime geometry. Canonical approaches to quantum gravity, most notably the Wheeler–DeWitt formulation, eliminate time altogether, leading to the well-known “problem of time.” These tensions motivate frameworks in which time is not fundamental but emergent. In this work, we propose a discrete, update-based framework in which the universe evolves through a sequence of global quantum states indexed by an abstract update parameter rather than by a physical time coordinate. Evolution is formulated as a completely positive, trace-preserving (CPTP) quantum channel acting on the universal density operator, ensuring exact conservation of probability and global quantum information at every update. The framework is deliberately conservative: it preserves the formal structure of quantum mechanics and quantum field theory, enforces vacuum stability, and supports global conservation laws without introducing new dynamical postulates. Within this setting, time emerges relationally at the level of subsystems. As subsystems become increasingly entangled with their environments, entropy gradients arise that define an effective arrow of time, closely aligned with the thermodynamic arrow. The resulting temporal flow is relative, statistical, and observer-dependent, while the global evolution remains information-preserving and, in the closed-system limit, reversible. We explore the implications of this framework for cosmology and black hole physics. The Big Bang is reinterpreted as an initial quantum state rather than a singular beginning of time, avoiding temporal singularities. Black hole evaporation is shown to be compatible with unitary evolution when the full quantum state is considered, naturally reproducing the expected Page curve and resolving the apparent information paradox. Overall, the framework provides a coherent, minimal setting in which time, irreversibility, and cosmological history emerge from quantum correlations rather than from a fundamental temporal background.
The fundamental laws of classical mechanics, quantum mechanics, and general relativity are time-symmetric, yet macroscopic experience is irreversible without exception. Standard physics bridges this gap with statistical argument: reversal is treated as merely improbable, not physically inadmissible. This paper argues that the gap is an artifact of treating space as a continuum, and that it closes once space is treated as discrete, as in Quantum-Geometry Dynamics (QGD). Two independent grounds are identified for the categorical, non-statistical irreversibility of every elementary interaction in discrete space: a local ground, the loss of individual addressability when one particle's constituent preon(+)s merge into another upon absorption; and a global ground, the irreducible universal gravitational trace left by any positional change, given that gravity in QGD is instantaneous and universal in scope. Applied across four domains, this single result dissolves the arrow-of-time problem, grounds the second law of thermodynamics in dynamics rather than probability, dissolves the apparent asymmetry between unitary evolution and measurement collapse, and shows the reversible/irreversible distinction in quantum gate theory to be a feature of the abstract computational model rather than of physical mechanism. The result is shown to be compatible with, and silent on, whether a finite deterministic system's forward dynamics eventually revisit an earlier configuration by a non-retracing causal path. No new axiom or free parameter is introduced: the result follows from elements of QGD already established for independent reasons.
This work proposes a novel conceptual framework for the foundations of physics, based on the idea that physical reality emerges from a discrete causal network of events and the accumulation of "memory" associated with these interactions. Unlike standard approaches, spacetime and elementary particles are not presupposed but emerge dynamically. The theory reinterprets General Relativity and Quantum Mechanics as manifestations of this memory dynamic in different density regimes. Concepts such as quantum collapse, the arrow of time, and particle properties are derived within this causal ontology. The work explores the consequences of applying the Heideggerian philosophical concept of historicity to the foundations of physics. Detailed appendices provide the mathematical formalization and emergent derivations.
Description Causality and Arrow of Time is a unifying theoretical work within the author’s ongoing research program on discrete quantum process structures. The paper provides a formal, process-level derivation of causality and the arrow of time as emergent properties of branching quantum dynamics, rather than as fundamental primitives. The central methodological contribution of this work is the use of P-Tacts (П-такты) as primitive units of quantum evolution. Each P-Tact is defined as an irreducible process consisting of a local unitary operation and an entangling unitary operation. From sequences and superpositions of such P-Tacts, directed process graphs naturally arise. Within these graphs, causal relations and temporal ordering are shown to emerge from topology and branching structure, without invoking an external or background time parameter. This article synthesizes and extends the results developed across the author’s previous works, to which it is explicitly self-referential. In particular, it unifies earlier analyses of quantum switch, indefinite causal order, teleportation, emergent time, and Everettian branching into a single causal framework. The present work directly builds upon and integrates the following publications: Pavlov, M. (2026). Quantum Switch as an Emergent Process Structure from Discrete Process Tacts (П-такт).Zenodo. https://doi.org/10.5281/zenodo.18498181 Pavlov, M. (2026). Quantum Switch and Teleportation.Zenodo. https://doi.org/10.5281/zenodo.18509173 Pavlov, M. (2026). Emergence of Causality, Gravity, Time, and Three-Dimensional Space from Discrete P-Tact (П-такт) Dynamics.Zenodo. https://doi.org/10.5281/zenodo.18504244 Pavlov, M. (2026). P-Tact (П-такт) as the Primitive Unit of Quantum Theory.Zenodo. https://doi.org/10.5281/zenodo.18516711 Pavlov, M. (2026). Indefinite Causal Order as a Graph-Theoretic Property of P-Tact Networks.Zenodo (companion work within the same research program). Pavlov, M. (2026). Process Graphs and the Topological Origin of Quantum Time.Zenodo (companion work within the same research program). Pavlov, M. (2026). Branching Dynamics and Everettian Memory Structures.Zenodo (companion work within the same research program). Pavlov, M. (2026). Discrete Process Foundations of Quantum Measurement.Zenodo (companion work within the same research program). Together, these works form a coherent research program in which causality, temporal direction, and branching structure are not postulated but constructed from discrete quantum processes. A key conceptual motivation of this paper is the historical observation that foundational insights often precede the formal tools required to express them precisely. In this spirit, the present framework may be read as a formal completion of ideas first articulated by Hugh Everett III. Everett’s conception of universal wavefunction branching, proposed more than seventy years ago, anticipated many structural features of modern quantum information theory, yet lacked an explicit process-level formalization. This work offers such a formalization. Everettian branching is interpreted here as a concrete graph-theoretic phenomenon generated by P-Tact dynamics, with causal order and the arrow of time emerging as derived, observable features of the branching network. In this sense, the paper does not revise Everett’s ideas but renders them mathematically operational, linking early conceptual foundations to contemporary quantum technologies such as quantum switch, teleportation, and indefinite causal order. The article thus stands as both a technical contribution to quantum foundations and quantum information theory, and as a scholarly tribute to Everett’s legacy—demonstrating that ideas once considered purely interpretational can now be expressed within a precise and testable structural framework.
This paper presents the complete axiomatic foundation of the Ze Vector Theory (ZVT), a unified framework for fundamental physics. ZVT posits a single ontological primitive—the Ze State—which inherently admits both a continuous (vector) and a discrete (counter) representation. From this basis, the theory derives space and time as antiparallel, co-equal projections of the State, rather than assuming them as a background manifold. Physical dynamics are defined as the norm-preserving redistribution of the State's measure, from which causality and quantum phenomena emerge naturally. Quantum discreteness is shown to be a consequence of the discrete substrate, while interference patterns arise from the superposition of statistical pathways for state transitions, eliminating the need for a physical collapse postulate. The theory intrinsically defines an observer as an autonomous subsystem capable of stable registration. Crucially, ZVT demonstrates that Special Relativity, General Relativity, standard Quantum Theory, and Causal Set Theory arise as specific limiting regimes of its general formalism. By deriving, rather than postulating, the core concepts of modern physics and seamlessly integrating the continuous and discrete, ZVT offers a coherent, monistic, and relational foundation for a unified description of reality.
This paper presents a conceptual and analytical investigation into the limits of temporal access through the combined perspectives of causality, relativity, quantum mechanics, thermodynamics, and information theory. The work introduces the concept of the “Temporal Causality Barrier,” a selective and logically grounded framework that distinguishes between passive temporal observation and active temporal intervention. The paper argues that passive observation of the past is both physically permissible and continuously occurring through ordinary causal processes such as light propagation, memory, historical records, and astronomical observation. In contrast, active intervention into the past including backward information transfer, causal alteration of previous events, and closed causal loops is shown to generate logical contradictions and violations of causal consistency. The analysis critically examines major theoretical approaches related to time travel and retrocausality, including closed timelike curves, Novikov’s self-consistency principle, Deutsch’s quantum closed timelike curve model, and the two-state vector formalism in quantum mechanics. The paper argues that while some interpretations may mathematically describe retrocausal correlations, none currently provide an operational mechanism for backward information transmission without encountering paradoxes or information-theoretic inconsistencies. The framework further connects the causal structure of spacetime with the thermodynamic arrow of time, emphasizing the role of entropy, light cone geometry, and information propagation in preserving temporal coherence. The work also explores broader philosophical implications concerning the nature of time, consciousness, causality, and agency within a causally structured universe. Rather than proposing a new physical force or replacing existing theories, this paper provides a logically structured analysis of why temporal observation is compatible with known physics while active temporal intervention remains fundamentally constrained by both physical law and logical consistency.