Title: Sustaita's Temporal Anchoring Equation: A Phenomenological Model of the Quantum-Classical Transition with Falsifiable Predictions Author: Jose Miguel Sustaita González Abstract: A phenomenological model is proposed in which space and time are treated as conceptually distinct entities: space acts as a three-dimensional stage, while time is described as a geometric flow that traverses it. Gravity — interpreted as curvature of space — modulates the intensity of this flow, slowing it near massive objects and releasing it in vacuum. A dimensionless anchoring parameter α ∈ [0,1] is introduced to quantify the resistance of a material system to being dragged by this flow. Under this hypothesis, the quantum regime (α → 0) corresponds to poorly anchored systems, while the classical regime (α → 1) emerges when the system is strongly anchored through interactions with the environment or by its own gravitational inertia. The model leads to three falsifiable experimental predictions: (i) the critical gas pressure that destroys quantum coherence scales as P_c ∝ 1/m^2 for fixed-radius particles; (ii) the temporal anchoring rate scales as β ∝ m^2; and (iii) visibility curves for different masses collapse when plotted against t · m^2. Two experiments — one based on Talbot-Lau interferometry and another on discrete counting of anchoring events — are proposed to test these predictions. The manuscript includes detailed derivations of the effective gas decoherence rate (including the distinguishability suppression factor), blackbody radiation and phonon rates, dimensional verifications, numerical evaluations of P_c for the proposed experimental parameters, and a comparison with standard decoherence predictions. Keywords: Quantum decoherence, Quantum-classical transition, Gravitational self-action, Matter-wave interferometry, Temporal anchoring
Title: Sustaita's Temporal Anchoring Equation: A Phenomenological Model of the Quantum-Classical Transition with Falsifiable Predictions Author: Jose Miguel Sustaita González Abstract: A phenomenological model is proposed in which space and time are treated as conceptually distinct entities: space acts as a three-dimensional stage, while time is described as a geometric flow that traverses it. Gravity — interpreted as curvature of space — modulates the intensity of this flow, slowing it near massive objects and releasing it in vacuum. A dimensionless anchoring parameter α ∈ [0,1] is introduced to quantify the resistance of a material system to being dragged by this flow. Under this hypothesis, the quantum regime (α → 0) corresponds to poorly anchored systems, while the classical regime (α → 1) emerges when the system is strongly anchored through interactions with the environment or by its own gravitational inertia. The model leads to three falsifiable experimental predictions: (i) the critical gas pressure that destroys quantum coherence scales as P_c ∝ 1/m^2 for fixed-radius particles; (ii) the temporal anchoring rate scales as β ∝ m^2; and (iii) visibility curves for different masses collapse when plotted against t · m^2. Two experiments — one based on Talbot-Lau interferometry and another on discrete counting of anchoring events — are proposed to test these predictions. The manuscript includes detailed derivations of the effective gas decoherence rate (including the distinguishability suppression factor), blackbody radiation and phonon rates, dimensional verifications, numerical evaluations of P_c for the proposed experimental parameters, and a comparison with standard decoherence predictions. Keywords: Quantum decoherence, Quantum-classical transition, Gravitational self-action, Matter-wave interferometry, Temporal anchoring
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.
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 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.
Abstract A hypothesis is proposed according to which the sole difference between the quantum and classical worlds is the time scale. A quantitative verification of the model has been carried out on systems ranging from atomic to macroscopic scales. The concept of a temporal wake is introduced — a physical field generated by the motion of a particle in its ultrafast proper time. It is shown that this approach not only explains key quantum phenomena (interference, entanglement, tunneling) but also connects them with gravity. Based on the hypothesis, a phenomenological toy model is constructed, demonstrating quantitative agreement with experimental data. Three laws of scale invariance are formulated. A system of coupled field equations is proposed in which the coupling between particles is realized through an effective parameter αeff depending on the time scale, system symmetry, and density. It is found that αeff naturally describes a phase transition between atomic, nuclear, and classical regimes. Testable predictions are formulated, including an experiment on wake shielding (Prediction I) and the search for a phase transition at nuclear density (Prediction L).