This work presents a discrete informational model in which persistent flows of mutual information emerge within quantum entanglement networks, forming structures analogous to wormholes.The model links local informational curvature, defined through Forman-Ricci geometry, to the dynamics of information exchange between entangled nodes.Through discrete simulations on small graphs (triangular, quadrilateral, and dodecagonal), the study shows how stable circulation patterns of information can behave as “informational bridges,” connecting distant regions of the network.These results suggest a possible informational mechanism underlying the emergence of spacetime-like connectivity from quantum entanglement.
This work presents a discrete informational model in which persistent flows of mutual information emerge within quantum entanglement networks, forming structures analogous to wormholes.The model links local informational curvature, defined through Forman-Ricci geometry, to the dynamics of information exchange between entangled nodes.Through discrete simulations on small graphs (triangular, quadrilateral, and dodecagonal), the study shows how stable circulation patterns of information can behave as “informational bridges,” connecting distant regions of the network.These results suggest a possible informational mechanism underlying the emergence of spacetime-like connectivity from quantum entanglement.
This work introduces a new discrete framework that links the flow of information in weighted networks to emergent informational torsion and discrete closed timelike curves (CTCs). By connecting edge weights, dependent on mutual information, to Forman-Ricci curvature and defining persistent cycle circulations, we uncover self-sustained loops that act as discrete analogues of local causal reversals. Starting from multipartite quantum states represented as graphs, we show how specific entanglement patterns can generate effective geometric deformations. Promoting the model to a quantum formalism allows us to define curvature and circulation operators, giving a concrete way to study the quantum dynamics of these emergent structures. This framework provides a bridge between different areas of physics: quantum information theory, discrete geometry, and ideas of emergent gravity. It opens the door to exploring how entanglement and informational flows might shape causal structures, offering both conceptual insights and numerical tools that could inspire future developments in fundamental theory and quantum technologies.
This paper presents a geometric–informational model of quantum decoherence formulated in terms of the Forman–Ricci curvature on a weighted graph representing correlations between entangled subsystems. In this framework, decoherence emerges as a curvature–driven process that progressively flattens the informational geometry of the system. The model derives a gradient–flow dynamics from an action principle with dissipation and is quantitatively compared with the experimental results of Bordes et al. (2024) on entangled gamma photons. The proposed formulation establishes a conceptual bridge between the Lindblad formalism and informational geometry, offering a scale–independent interpretation of quantum decoherence as the geometric relaxation of correlation structures, consistently describing both optical and gamma entanglement regimes.
The series Time as Phase Flow (Papers I–IV) established that time is not fundamental but emerges from the geometric phase flow of quantum information, providing a unified account of dynamically generated cosmological constants, informational temporal viscosity, and the suppression of large-scale structure. Despite these successes, a fundamental mechanism explaining why a single, stable observable reality emerges from the space of quantum informational states has remained unresolved. In this work, we introduce the framework of Information-Geometric Spacetime (IGS), in which spacetime itself emerges from the geometry of quantum information, entanglement, and modular flow. Within IGS, we define an Actualization Operator that mediates between quantum informational states and observable spacetime geometry. Derived from first principles, the operator combines entropy-based suppression with modular evolution, governed by a universal geometric constant β = 1/(π√3) ≈ 0.1837 fixed by the geometry of causal diamonds and the associated modular Hamiltonian. We show that actualization preserves information conservation and quantum unitarity, acting as a structural filter that selectively stabilizes informational states capable of forming consistent geometric reality, in close analogy with decoherence-driven classical emergence. Under this mechanism, previously identified cosmological effects—most notably the suppression of the matter power spectrum and the S_8 tension—are reinterpreted as observational consequences of information actualization rather than modifications of gravity or exotic matter. This framework also offers a geometric reformulation of the quantum measurement problem, in which the observer is not an external agent but an emergent process associated with modular structure and entanglement thermodynamics. The theory yields testable predictions in controlled quantum systems and forthcoming cosmological surveys, providing a concrete pathway toward empirical tests of spacetime emergence from quantum information.
We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space H into a tensor product of factors, we consider a class of ``redundancy-constrained states'' in H that generalize the area-law behavior for entanglement entropy usually found in condensed-matter systems with gapped local Hamiltonians. Using mutual information to define a distance measure on the graph, we employ classical multidimensional scaling to extract the best-fit spatial dimensionality of the emergent geometry. We then show that entanglement perturbations on such emergent geometries naturally give rise to local modifications of spatial curvature which obey a (spatial) analog of Einstein's equation. The Hilbert space corresponding to a region of flat space is finite-dimensional and scales as the volume, though the entropy (and the maximum change thereof) scales like the area of the boundary. A version of the ER=EPR conjecture is recovered, in that perturbations that entangle distant parts of the emergent geometry generate a configuration that may be considered as a highly quantum wormhole.
Starting from the discrete spacetime structure predicted by loop quantum gravity (LQG), this paper constructs a universal model of quantum-dot information storage and systematically explores its logical correlation with time travel. We first formulate the discreteness of spacetime at the Planck scale and argue that the discrete spectra of geometric operators (area and volume) provide a natural quantized substrate for information storage. Crucially, we do not assert a direct physical isomorphism between Planck-scale spacetime quanta and mesoscopic quantum-dot spin states—a gap of roughly 26 orders of magnitude. Instead, using renormalization-group (RG) ideas and scale invariance, we reframe the link as a topological isomorphism of information structure and, operationally, as a quantum simulation: a quantum-dot array is a laboratory simulator of the discrete-spacetime information network rather than a physical counterpart of Planck-scale atoms. To address the causal paradoxes of closed timelike curves (CTCs), we propose a quantum-information self-consistency principle and connect it to Deutsch’s D-CTC model (1991; density-matrix fixed point) and the Lloyd et al. P-CTC model (2011; post-selected CTCs). We argue that spacetime discreteness supplies a natural ultraviolet cutoff which, together with non-local (entanglement-based) storage in the dot network, dissolves the grandfather paradox at the level of information. The metaphysical “isomorphism claim” is sharpened into a falsifiable “same-universality-class” hypothesis, accompanied by concrete criteria (entanglement-entropy scaling, power-law exponents, topological entanglement entropy). The proposed quantum-dot loop experiment is clarified as a quantum simulation of the information-propagation logic of CTCs, in the same paradigm as the Sycamore traversable-wormhole experiment (Jafferis et al., 2022), and is not a realization of macroscopic time travel. Building on the above, this paper advances two core theoretical constructs, each developed in a dedicated chapter. The first is the quantum-dot information-extension model (Chapter 8): the existence of a piece of spacetime information is identified with the existence of a timelike information world-tube—when information is created at an event, the quantum point carrying it extends along a timelike direction into a world-tube that persists until the information is erased. From this picture we derive a conservation law for the active quantum-point number density, a holographic–persistence capacity bound for the world-tube cross-section, and the thermodynamic costs of information creation, persistence, and annihilation. The second is the information dynamics of time travel (Chapter 9): within the world-tube language, two self-consistent routes for returning to the past are proposed—jumping to a parallel branch universe that already possesses a time machine (memory fully retained), or rewinding along one's own world-tube so that the extended quantum point recedes and annihilates at its initial event (entailing invalidation of downstream information, merging of the future and past operators' information, and the impossibility of retaining future memory). The two routes correspond respectively to cross-branch and same-branch fixed points of the causal-consistency functional. We emphasize that the pictures of Chapters 8 and 9 are theoretical hypotheses and conjectures proposed herein, intended to provide a mathematically self-consistent and in-principle falsifiable analytical framework rather than a claim about the physical realizability of time machines.
This work explores the hypothesis that time is an emergent phenomenon arising from underlying quantum informational processes. By integrating principles from quantum mechanics, thermodynamics, and general relativity, we develop a comprehensive framework that elucidates the relationship between quantum complexity, entanglement, and the nature of time. We investigate the role of quantum complexity in the evolution of quantum states and demonstrate how the increase in entanglement entropy provides a microscopic basis for the arrow of time. Using the AdS/CFT correspondence and the holographic principle, we establish connections between spacetime geometry and quantum informational measures like entanglement entropy. We address the black hole information paradox within this context, arguing that information is preserved in a highly scrambled form. Additionally, we propose an experimental design using black hole analogues to empirically validate our theoretical predictions, focusing on fast scrambling and the growth of quantum complexity. Our findings suggest that quantum informational dynamics govern the emergence of time and spacetime geometry. This work bridges quantum mechanics, thermodynamics, information theory, and general relativity, offering potential applications in quantum technologies and new insights into the fundamental nature of reality.