Abstract Within the Generalized Mass as Twisted Time (G-MaTT) framework, we propose a candidate geometric mechanism for quantum entanglement. Systems that share the same braid topology and phase synchronization within a coherent domain exhibit non-local correlations, not through superluminal signaling, but through their common geometric substrate in the G₂ root lattice. We derive a characteristic entanglement relaxation time from the TUT window dynamics. This timescale is bounded below by the Planck time and is independent of spatial separation. The resulting picture is fully consistent with standard quantum entanglement observations while providing a deeper ontological foundation: entanglement as shared geometric identity rather than mysterious action at a distance. This mechanism does not violate causality and reframes non-locality as a natural consequence of the pre-spacetime G₂ geometry.
Abstract Within the Generalized Mass as Twisted Time (G-MaTT) framework, we propose a candidate geometric mechanism for quantum entanglement. Systems that share the same braid topology and phase synchronization within a coherent domain exhibit non-local correlations, not through superluminal signaling, but through their common geometric substrate in the G₂ root lattice. We derive a characteristic entanglement relaxation time from the TUT window dynamics. This timescale is bounded below by the Planck time and is independent of spatial separation. The resulting picture is fully consistent with standard quantum entanglement observations while providing a deeper ontological foundation: entanglement as shared geometric identity rather than mysterious action at a distance. This mechanism does not violate causality and reframes non-locality as a natural consequence of the pre-spacetime G₂ geometry.
Abstract Standard quantum mechanics often describes entanglement as a non-local correlation, presenting persistent conceptual conflicts with relativistic causality. This paper proposes a heuristic geometric hypothesis within a constrained 3+1+2 multitemporal manifold, reinterpreting entanglement not as superluminal information transfer, but as a deterministic consequence of topological continuity across extra transverse-time dimensions. Within this theoretical framework, we hypothesize two distinct geometric mechanisms depending on particle topology. For massless bosons, modeled as open helical solitons, entanglement is proposed as the continuous bifurcation of a single phase-wavefront. This macroscopic splitting conceptually accounts for the energy bisection and wavelength doubling observed in spontaneous parametric down-conversion (SPDC), as the overarching topological tension is distributed across two macroscopic projections while remaining unbroken in the extra dimensions. Conversely, for massive fermions, which are modeled as closed topological rigid bodies, we propose that macroscopic spatial separation (Δx ≠ 0) can mathematically coexist with coordinate overlap in the 2D transverse-time plane (Δτ = 0). It is hypothesized that these rigid particles are strictly meshed together at a singular coordinate within the transverse-time dimension. This direct interlocking is strictly governed by the Pauli exclusion principle, which mandates that the two topological "gears" must mesh with opposite, complementary rotations to avoid metric rupture. Furthermore, SL(4,ℝ) tensor projections mathematically guarantee that this shared geometric state persists independently of any macroscopic spatial distancing. Finally, we suggest that "wave-function collapse" can be reinterpreted as a forced geometric alignment induced by macroscopic mass ("phase-anchors"). We hypothesize that quantum superposition arises from the transverse-time fluctuations of low-mass particles. Upon contact with a phase-anchor, the Pauli exclusion principle dictates a temporary structural meshing that synchronizes the particle's mass with the macroscopic cluster. This instantaneously forces the fluctuating particle to align with the overarching Meta-Time axis, deterministically halting the superposition and severing the entanglement.
Entanglement and Nonlocal Coherence: Why Nonlocality Is Natural in a Phase Ontology (Phase Ontology — Part IV) reframes quantum entanglement by changing the usual starting assumption. The paper argues that entanglement only looks paradoxical if spacetime separation is assumed to imply ontological separation. If phase coherence is treated as a primary layer of reality (as developed in Parts I–III), then nonlocal correlations become expected rather than mysterious. In this view, entangled systems share a single coherent phase structure prior to measurement. Measurement is described as local phase locking: an interaction with a detector stabilizes a definite outcome locally, while the joint correlations arise because both outcomes are constrained by the same underlying phase structure. No superluminal signal is required; correlations are revealed rather than transmitted. The paper also addresses compatibility with relativity: since no information is communicated faster than light, relativistic causality remains intact. Locality is treated as an emergent property of spacetime, while coherence relations can be nonlocal because they are not fundamentally “in spacetime” to begin with. This manuscript is Part IV of a seven-part series (Parts I–VII). It connects the measurement framework of Part III to entanglement and points ahead to Part V (time, irreversibility) and Part VII (experimental implications and falsifiability).
We develop a complete geometric framework in which each quantum particle possesses its own private spacetime—a world-block—constructed from Fermi–Walker coordinates. The intrinsic spatial metric on each proper-time slice is a dynamical field governed by an action with a universal stiffness constant A0. A single world-block exhibits kinematic non-locality: the metric perturbation at a point depends on the entire wavefunction through an integral relation, while maintaining dynamic locality via causal wave equations. This duality captures the essential non-locality of quantum mechanics without violating relativistic causality. When two particles interact, their world-blocks are stitched along a common boundary, forming a single compound world-block in ordinary four-dimensional spacetime. The stitching imposes local matching conditions that yield a non-separable strain field, providing a geometric account of quantum entanglement. Measurements correspond to fixing boundary conditions on one part of the compound block; the correlated outcome on the distant part is automatically determined by the shared global geometry, not by any superluminal signal. Thus, the apparent non-locality of EPR correlations is explained as a manifestation of geometric connectivity within a single 4D manifold, consistent with Bell’s theorem because the geometry itself is non-local. In the continuum limit of many overlapping blocks, coarse-graining restores an effective local description, and Newton’s law of universal gravitation emerges exactly, with Newton’s constant given by G = 3c4/(8πA0). The model offers a unified, deterministic, and fully relativistic foundation for quantum mechanics and gravity, without invoking extra dimensions or stochastic elements. Experimental signatures in ultrafast interferometry and possible connections to dark energy are discussed. The framework aligns with recent developments in emergent gravity and provides a concrete geometric realization of spacetime from quantum entanglement.
Abstract Quantum entanglement is commonly described as a nonlocal correlation between spatially separated systems, raising foundational questions regarding its physical interpretation. In this work, a phenomenological framework is presented in which entanglement is interpreted geometrically as arising from a shared spatial phase structure established during state preparation. The approach proposes that rotational dynamics may generate a sinusoidal radial spatial organization (“radial waves”) that provides correlated geometric conditions at the moment of formation of an entangled state. Within this interpretation, the correlations observed in measurement outcomes reflect this shared phase geometry rather than any superluminal interaction or information transfer occurring after separation. The framework does not modify the standard quantum mechanical formalism and reproduces the familiar cosine correlation structure characteristic of Bell-type experiments. The formulation emphasizes internal geometric consistency and dimensional coherence while leaving established quantum predictions unchanged. A representative illustrative case is presented to demonstrate internal consistency, while broader applications and experimental considerations are deferred to subsequent work.
What if the mystery of quantum entanglement—Einstein’s famous "spooky action at a distance"—could be understood through shared temporal structures rather than superluminal signals? This paper explores the quantum foundations sector of Temporal Texture Gravity, introducing a candidate mechanism called the "Non-Separable Temporal Bubble". It investigates how entangled particles might share a single, spatially extended temporal configuration that coordinates their measurement outcomes while remaining strictly non-signaling at the observable level. The paper frames this mechanism with complete transparency, outlining both its mathematical predictions and its current boundaries: A Shared Temporal Substrate: Proposes that entangled particles are connected through an extended temporal bubble. Under standard quantum probability rules, this shared substrate exactly reproduces quantum correlation laws and the famous Tsirelson bound for quantum measurement limits. Strict No-Signaling Discipline: Addresses the fundamental requirement that quantum correlations must never allow faster-than-light communication. The paper documents an internal refutation of an earlier model version that leaked information, establishing the exact mathematical conditions required to keep hidden non-local states completely unreadable to outside observers. Gravitational Test Signatures: Examines how quantum bubbles interact with gravitational curvature (such as around black holes or massive bodies). The paper derives three distinct structural signatures—a "magic angle" where tidal distortions cancel out, an isotropy null where symmetric bubbles decouple, and a clear separation between phase shifts and visibility loss. Presented as an exploratory candidate extension rather than a derived result of the core action, this paper establishes a rigorous roadmap for bridging temporal geometry with quantum non-locality.
Based upon the static-substrate local-perturbation unified paradigm, this paper elaborates a homologous-origin perturbation phase-locking mechanism to give an ontological account for non-local correlation manifested in quantum entanglement. Building on the axiomatic skeleton established in the paradigm’s foundational preprint, this work bridges microscopic quantum phase behaviour to macroscopic substrate homeostatic self-reversion dynamics. We first review conceptual limitations of major mainstream quantum interpretations, including the Copenhagen interpretation, many-worlds interpretation, and Bohmian mechanics. Under the substrate-perturbation framework, Bell-type experimental statistics are fully reproduced without postulating superluminal signal propagation. Entanglement correlation originates from inherited locked-phase relations established at the moment when a composite homologous perturbation splits, rather than ongoing real-time information exchange between spatially separated particle-like fragments. Non-local correlation is an intrinsic holistic property of the original unified perturbation source system, not an interaction transmitted across spatial distance. The mechanism naturally respects Lorentz invariance and circumvents conceptual pathologies common to non-local hidden-variable constructions. We analyse decoherence as environmental perturbation-driven erosion of inherited phase relations. Within this picture we interpret double-slit interference and quantum-eraser observations without invoking observer-dependent collapse or retrocausality. We further point out the structural isomorphism between microscopic spin and large-scale galactic rotation originating from universal substrate perturbation dynamics. This manuscript remains primarily ontological-qualitative; concrete quantitative dynamical derivation and discriminative experimental proposals are reserved for follow-up dedicated work. This article forms a micro-physics branch within the serial research programme The System of Static-Substrate and Local-Perturbation Universe. It unifies microscopic quantum correlation and macroscopic gravitational convergence as two distinct-scale manifestations of the substrate’s inherent homeostatic self-reversion tendency.