1. For any physical object, background time is meaningless; only proper time exists as a private property, determined entirely by the object itself. Without relying on special relativity, this paper independently derives the mathematical formula for how an object constructs its own time, and shows that it agrees with all experimental results of special and general relativity. 2. Based on this active timekeeping mechanism, the discreteness and intrinsic instability of time naturally lead to time quantization, the uncertainty principle, probabilistic interpretation, and measurement decoherence, thereby removing the last barrier between relativity and quantum mechanics concerning the nature of time. 3. This is a completely new theoretical framework of “objects actively constructing and controlling time”, providing a fundamental basis for unifying quantum mechanics and relativity.
For any physical object, background time is meaningless; only proper time exists as a private property, determined entirely by the object itself. Without relying on special relativity, this paper independently derives the mathematical formula for how an object constructs its own time, and shows that it agrees with all experimental results of special and general relativity. 2. Based on this active timekeeping mechanism, the discreteness and intrinsic instability of time naturally lead to time quantization, the uncertainty principle, probabilistic interpretation, and measurement decoherence, thereby removing the last barrier between relativity and quantum mechanics concerning the nature of time. 3. This is a completely new theoretical framework of “objects actively constructing and controlling time”, providing a fundamental basis for unifying quantum mechanics and relativity.
Modern Physics rests on two pillars: General Relativity (GR) and Quantum Mechanics (QM). The former describes gravitation as the continuous geometry of spacetime, based on differential fields. The latter, in turn, operates in a discretized regime, where energy levels, frequencies, and experimental results arise in quantized packets. The tension between both arises because GR assumes absolute continuity of time and space, while QM presents intrinsically discrete phenomena. Historically, the search for a unified theory started from the assumption that one of the two formulations must be modified — either GR should be discretized, or QM should emerge from an underlying continuous theory. In this work, we argue that the conflict is not fundamental: it stems from the traditional interpretation of time in Special Relativity (SR). When analyzed correctly, the proper time of distinct observers does not evolve synchronously, and this produces beating and discretization effects that explain, without additional postulates, many behaviors labeled as "quantum."
The Theory of Temporal Relativity proposes a unified theoretical framework that extends Special and General Relativity into the complex domain, integrating aspects of Quantum Mechanics within a single geometrical structure. The theory introduces a generalized Hilbert-space geometry and interprets quantum states as observer-dependent, arising from complex temporal relations between reference frames. Theory of Temporal Relativity is a theoretical framework proposing a unified extension of Special and General Relativity into the complex domain, with the goal of incorporating aspects of Quantum Mechanics within a consistent geometrical model. The theory generalizes Hilbert-space geometry and relativistic invariance to complex coordinates, introducing observer-dependent descriptions of physical quantities and a reinterpretation of quantum states as complex-phase relations between reference frames. Within this model, fundamental constants such as c, G, and h are not strictly universal but can exhibit apparent local variations arising from the observer’s position in the complex spacetime manifold. These variations preserve global covariance and CPT symmetry while reconciling quantum non-locality with relativistic kinematics. The framework predicts experimentally testable effects, including measurable phase shifts in interferometric experiments, possible frequency modulations in non-inertial systems, and small local deviations of physical constants detectable in condensed-matter and gravitational contexts. The supplementary work, “Quantum Uncertainty, Planck’s Constant, and Ontological Insights from Complex Spacetime Geometry and Local Metric Deformations”, develops the principle of Temporal Relativity as a foundational element of the theory. It formalizes the connection between quantum uncertainty, metric deformations, and complex temporal structures, within an alternative logical framework (AU). This extension provides both an ontological interpretation of the wavefunction and a basis for the emergence of quantum indeterminacy from geometric causes. Together, these works present a coherent attempt to unify the relativistic and quantum domains under a single complex-geometric view of spacetime, maintaining mathematical rigor while providing clear experimental pathways for empirical validation.
Since the beginning of physics, time is the duration of material changes. We measure time with clocks. The notion of time in Newton physics, Einstein’s relativity, and quantum physics are different despite we always measure the same time with the same apparatuses that are clocks. We showed in this article that the act of the measurement done by the observer is generating duration. Time as duration is the result of the interaction between the observer and physical reality via clocks. In the universe, only changes exist. Changes have no duration on their own. Time as duration is born with the measurement done by the observer. Duration is relative and depends on the variable energy density of time-invariant superfluid quantum space that is the carrier of EPR-type entanglement.
Abstract This paper present a unified theoretical framework connecting relativistic time dilation, time–state correlation, and quantum superposition. The physical state of an object is modeled as an objective, continuous time-series function s = f(t). In the unobserved regime, the proper timeline of an object is independent of the observer’s reference frame; during observation, relativistic time dilation induces a corresponding state dilation effect, and the observed value represents the projection of the intrinsic state onto the observer’s timeline. Under elementary observation, classical behavior corresponds to a one-to-one state mapping (1 ≤ n < 2), while quantum behavior arises from a many-to-one relation (n ≥ 2) accompanied by state superposition, probabilistic outcomes, and the loss of temporal order. This paper derive formal superposition-projection formulas for time and state and apply the framework to interpret the double-slit interference experiment. The observed randomness of photon detection originates from unit-time projective sampling rather than fundamental indeterminacy, while the photon maintains a deterministic intrinsic wave function along its proper timeline. This paper predict a stepwise increase in discrete observable states as particle velocity approaches critical relativistic thresholds, supporting a continuous transition from classical to quantum behavior. This framework establishes a consistent bridge between special relativity, classical mechanics, probability theory, and quantum mechanics.
In classical mechanics and standard quantum theory, time is treated as an absolute and external parameter, a universal background against which physical events unfold. The foundational theories of modern physics challenge this view. In special relativity, the passage of time depends on an observer's velocity; in general relativity, it depends on the local gravitational potential. This dynamic, observer-dependent nature of time raises fundamental questions about its status and necessitates a unified framework for performing operational calculations that are consistent across these domains.
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.