This preprint proposes a novel fundamental paradigm in physics based on the concept of an autonomous, three-dimensional pseudo-Euclidean time continuum, referred to as the "Event Space" (3D-T). The model introduces the physical equivalent of "Observer Mass" M(obs), defined as the informational-entropic density of interaction. We postulate that this information density is the primary source of local curvature within the temporal metric. The paper provides a strict geometric derivation of fundamental quantum phenomena, treating them as non-linear effects of this local temporal gravity: Macroscopic Decoherence: The collapse of the wave function is explained as the mandatory fixation of an object at the bottom of a deep Temporal Well (Event Attractor), generated by the colossal M(obs) of the surrounding macroscopic environment. This process definitively eliminates anthropocentrism from physics. Quantum Paradoxes: Geometric interpretations are offered for Wave-Particle Duality, Quantum Tunneling (as a temporal detour), Quantum Entanglement (as a topological resonance bridge across a null temporal interval), and Quantum Teleportation. Furthermore, the work presents specific, falsifiable experimental predictions to verify the model at the Large Hadron Collider (CERN) and in high-precision optical Bell tests. This 3D-time model constructs a rigorous geometric bridge between General Relativity and Quantum Mechanics, forming a reliable topological basis for a future theory of quantum gravity.
This preprint proposes a novel fundamental paradigm in physics based on the concept of an autonomous, three-dimensional pseudo-Euclidean time continuum, referred to as the "Event Space" (3D-T). The model introduces the physical equivalent of "Observer Mass" M(obs), defined as the informational-entropic density of interaction. We postulate that this information density is the primary source of local curvature within the temporal metric. The paper provides a strict geometric derivation of fundamental quantum phenomena, treating them as non-linear effects of this local temporal gravity: Macroscopic Decoherence: The collapse of the wave function is explained as the mandatory fixation of an object at the bottom of a deep Temporal Well (Event Attractor), generated by the colossal M(obs) of the surrounding macroscopic environment. This process definitively eliminates anthropocentrism from physics. Quantum Paradoxes: Geometric interpretations are offered for Wave-Particle Duality, Quantum Tunneling (as a temporal detour), Quantum Entanglement (as a topological resonance bridge across a null temporal interval), and Quantum Teleportation. Furthermore, the work presents specific, falsifiable experimental predictions to verify the model at the Large Hadron Collider (CERN) and in high-precision optical Bell tests. This 3D-time model constructs a rigorous geometric bridge between General Relativity and Quantum Mechanics, forming a reliable topological basis for a future theory of quantum gravity.
Geometric Derivation of Quantum Mechanics from a 5D Time-Delay Manifold This paper introduces the "Time-Delay Field" (TDF) theory, a novel geometric framework that derives the fundamental equations of quantum mechanics from a deterministic five-dimensional spacetime structure. By treating the fifth dimension as an intrinsic "delay" coordinate (τ), we demonstrate that quantum behaviors—such as superposition and interference—are projections of continuous 5D null geodesics onto our 4D reality. Abstract:We present a geometric derivation of quantum mechanics based on the TDF theory. Extending the spacetime manifold to five dimensions (M4×S1), where the fifth dimension τ represents an intrinsic time delay, we postulate that all fundamental particles travel on null geodesics in the 5D bulk. We demonstrate that the rest mass of a particle arises from its momentum component in the delay dimension, leading to a helical trajectory. The quantum wave function ψ(x,t) is derived not as a probability amplitude, but as the Fourier projection of this 5D trajectory onto the 4D hypersurface. This framework rigorously recovers the Klein-Gordon and Schrödinger equations and provides a deterministic, geometric explanation for quantum interference and wave-particle duality. Furthermore, we address the measurement problem as a momentum transfer in the τ-dimension and discuss consistency with recent experimental observations of symmetry-dependent quantum timing [Guo et al., 2026]. Key Contributions: Derivation of the Schrödinger Equation: Proves that the non-relativistic wave equation emerges naturally from the projection of 5D null paths. Resolution of Wave-Particle Duality: Explains wave-like interference as a topological phase accumulation (Moiré pattern) of helical trajectories. Objective Collapse Mechanism: Defines "measurement" as a momentum transfer in the delay dimension, eliminating the need for an observer. Mass-Dependent Decoherence: Introduces the "Quantumness Factor" (Q), predicting an intrinsic transition from quantum to classical behavior for macroscopic masses. Experimental Alignment: Consistent with recent findings on geometry-dependent time delays in attosecond physics. Keywords: Quantum Foundations, Time-Delay Field, 5D Spacetime, Null Geodesics, Kaluza-Klein Theory, Measurement Problem, Emergent Quantum Mechanics, Geometric Phase.
We develop an event-based extension of quantum theory in which irreversible interaction events are taken as physically primary, and apply this framework to the emergence of time and effective gravitational behavior. An event is defined as a non-invertible completely positive, trace-preserving (CPTP) map acting on quantum states. Unitary dynamics are treated as an effective interpolation between events rather than as fundamental evolution. Time is defined as a partial ordering induced by irreversible events, while continuous time arises as a coarse-grained limit at high event density. We introduce event density as an operational quantity governing both decoherence and temporal accumulation, and show that spatial gradients of event density naturally give rise to effective gravitational time-dilation phenomena. No new force laws, spacetime curvature, or quantum gravity dynamics are postulated. Instead, gravity and time are shown to emerge as scale-dependent descriptions arising from irreversible event structure. The formulation is compatible with standard quantum mechanics, open-system dynamics, and general relativity in their respective domains, while clarifying the physical role of irreversibility in linking quantum theory and spacetime descriptions.
This work introduces a new interpretation of time as an emergent phenomenon that arises from the rate at which a four-dimensional quantum structure projects into three-dimensional classical space. Unlike conventional frameworks in general relativity and quantum mechanics that treat time as a fundamental coordinate or an external parameter, this model derives temporal flow from the decoherence-driven projection of a higher-dimensional quantum configuration onto a three-dimensional observational frame. The projection occurs in discrete increments called Projection Frame Units (PFUs), which represent the fundamental quanta of temporal measurement. In typical decohered laboratory conditions, the duration of a PFU is estimated to be around 10⁻²¹ seconds, many magnitudes greater than the Planck time but still below the limit of current experimental resolution. Classical time intervals emerge from the accumulation of PFUs along entropy gradients, creating a direct quantitative relationship between temporal flow and thermodynamic irreversibility. The theory predicts two experimentally testable effects. The first is a measurable deviation in quantum tunneling delay times, where PFU modulation influences sub-attosecond transit dynamics. The second is the possible generation of high-frequency gravitational wave transients caused by rapid deprojection events near black hole horizons. Both effects can, in principle, be tested using existing or near-future experimental technologies such as attosecond interferometry and next-generation gravitational wave detectors. By grounding time in the informational and geometric structure of quantum projections, this framework provides a clear and testable path toward unifying quantum mechanics, gravitational dynamics, and the thermodynamic arrow of time within a consistent higher-dimensional model.
This work introduces a new interpretation of time as an emergent phenomenon that arises from the rate at which a four-dimensional quantum structure projects into three-dimensional classical space. Unlike conventional frameworks in general relativity and quantum mechanics that treat time as a fundamental coordinate or an external parameter, this model derives temporal flow from the decoherence-driven projection of a higher-dimensional quantum configuration onto a three-dimensional observational frame. The projection occurs in discrete increments called Projection Frame Units (PFUs), which represent the fundamental quanta of temporal measurement. In typical decohered laboratory conditions, the duration of a PFU is estimated to be around 10⁻²¹ seconds, many magnitudes greater than the Planck time but still below the limit of current experimental resolution. Classical time intervals emerge from the accumulation of PFUs along entropy gradients, creating a direct quantitative relationship between temporal flow and thermodynamic irreversibility. The theory predicts two experimentally testable effects. The first is a measurable deviation in quantum tunneling delay times, where PFU modulation influences sub-attosecond transit dynamics. The second is the possible generation of high-frequency gravitational wave transients caused by rapid deprojection events near black hole horizons. Both effects can, in principle, be tested using existing or near-future experimental technologies such as attosecond interferometry and next-generation gravitational wave detectors. By grounding time in the informational and geometric structure of quantum projections, this framework provides a clear and testable path toward unifying quantum mechanics, gravitational dynamics, and the thermodynamic arrow of time within a consistent higher-dimensional model.
This work introduces a new interpretation of time as an emergent phenomenon that arises from the rate at which a four-dimensional quantum structure projects into three-dimensional classical space. Unlike conventional frameworks in general relativity and quantum mechanics that treat time as a fundamental coordinate or an external parameter, this model derives temporal flow from the decoherence-driven projection of a higher-dimensional quantum configuration onto a three-dimensional observational frame. The projection occurs in discrete increments called Projection Frame Units (PFUs), which represent the fundamental quanta of temporal measurement. In typical decohered laboratory conditions, the duration of a PFU is estimated to be around 10⁻²¹ seconds, many magnitudes greater than the Planck time but still below the limit of current experimental resolution. Classical time intervals emerge from the accumulation of PFUs along entropy gradients, creating a direct quantitative relationship between temporal flow and thermodynamic irreversibility. The theory predicts two experimentally testable effects. The first is a measurable deviation in quantum tunneling delay times, where PFU modulation influences sub-attosecond transit dynamics. The second is the possible generation of high-frequency gravitational wave transients caused by rapid deprojection events near black hole horizons. Both effects can, in principle, be tested using existing or near-future experimental technologies such as attosecond interferometry and next-generation gravitational wave detectors. By grounding time in the informational and geometric structure of quantum projections, this framework provides a clear and testable path toward unifying quantum mechanics, gravitational dynamics, and the thermodynamic arrow of time within a consistent higher-dimensional model.