Background: This paper expands the "Information-Geometric Structure of Reality" framework, bridging fundamental physics and the cognitive aspects of perception. Spacetime is treated as an emergent property of a static 4D block universe (the Everettian Multiverse), where the subjective arrow of time arises from memory and prediction dynamics within the observer's cognitive system. Methods: Expanding upon the author's previous work on the informational and geometric interpretation of radioactive decay (DOI: 10.5281/zenodo.17137287), this research synthesizes Loop Quantum Gravity, Superstring Theory, and the Many-Worlds Interpretation to introduce a quantum resonance mechanism between spin network nodes and vibrational string modes. Results: The problem of free will is resolved not as a violation of determinism, but as a structural selector of consciousness states within Hilbert space. Utilizing quantum Darwinism and the free energy principle, it is shown that high cognitive coherence naturally aligns the observer’s trajectory with thermodynamically stable branches of the Multiverse. Conclusions: Consciousness operates as a fundamental informational pattern independent of its biological substrate, serving as a primary driver within the cosmic structure.
Background: This paper expands the "Information-Geometric Structure of Reality" framework, bridging fundamental physics and the cognitive aspects of perception. Spacetime is treated as an emergent property of a static 4D block universe (the Everettian Multiverse), where the subjective arrow of time arises from memory and prediction dynamics within the observer's cognitive system. Methods: Expanding upon the author's previous work on the informational and geometric interpretation of radioactive decay (DOI: 10.5281/zenodo.17137287), this research synthesizes Loop Quantum Gravity, Superstring Theory, and the Many-Worlds Interpretation to introduce a quantum resonance mechanism between spin network nodes and vibrational string modes. Results: The problem of free will is resolved not as a violation of determinism, but as a structural selector of consciousness states within Hilbert space. Utilizing quantum Darwinism and the free energy principle, it is shown that high cognitive coherence naturally aligns the observer’s trajectory with thermodynamically stable branches of the Multiverse. Conclusions: Consciousness operates as a fundamental informational pattern independent of its biological substrate, serving as a primary driver within the cosmic structure.
This paper constructs a logically self-consistent emergent structural frameworkfor the Many-Worlds Interpretation (MWI) based on decoherence theory, quantum information geometry, and self-referential dynamics. Within this framework,a ”world” is rigorously defined as a quasi-classical branch formed in Hilbert spacethrough environmental decoherence and information-geometric boundaries. Its independence is quantitatively characterized by the branch separation degree Dab defined by the quantum relative entropy between branches. When Dab exceeds a critical value Dc determined jointly by the energy scale of environmental fluctuationsand the decoherence time, the branches separate irreversibly in the informationgeometric sense, constituting independent ”worlds”. Furthermore, by introducingthe concept of a self-consistent observer, this paper demonstrates the dynamic selection mechanism of cosmological laws within the string theory landscape: only thosevacuum branches that can support self-consistent observers (satisfying conditionssuch as the memory decoherence time being much greater than the cognitive operation time) have their wavefunction weights effectively preserved during evolution,thereby acquiring physical reality. Finally, combining Zurek’s envariance argumentwith the requirement of observer memory stability, we show that the Born ruleP(i) = |⟨i|ψ⟩|2 is not an additional assumption but a necessary consequence forthe stable existence of self-consistent observers. This framework provides an operational mathematical foundation for the many-worlds interpretation, transforms theanthropic principle into a dynamic selection problem, and offers an explanation forthe origin of probability based on quantum information principles.
Matrix Cosmography presents a novel information-theoretic monism where information geometry serves as the primary architecture of the physical universe. In this framework, reality is not built from material particles, but emerges from a one-dimensional unified continuous manifold topologically embedded on a circular or ring-like surface. Core Theoretical Framework Wave State Vectors: Probability is represented geometrically as wave state vectors within a probability metric space. These vectors are defined by amplitude (potential for actualization), frequency (quantum entanglement and phase lock), and phase (alignment within interference patterns). Non-Linear Decoherence: Discrete physical states are not fundamental; they emerge as interference signatures through non-linear decoherence from the global manifold’s superposition. Logic Operations: The transition from a 1D manifold to multi-dimensional reality is achieved through recursive projection and matrix transformations governed by the NAND logic operation. Entropy and Information Archiving The theory redefines entropy as a geometric operation that "thickens" the wave state vector field, allowing for infinite complexity without information loss. Black Hole Archiving: Black holes function as archival nodes, spreading information across the event horizon in a lossless format. Information Recycling: As information is released through Hawking radiation, it further thickens the 1D manifold. Matter, energy, and force are described as the "notes" generated by this underlying "sheet music" of information geometry. The Asymptotic Arrow of Time Time is treated as an emergent property of geometric thickening and complexification. Asymptotic Origin: The framework posits an asymptotic origin for the universe, providing a mathematical basis for a multiversal reality. Linear Progression: While the past is rendered into non-existence upon actualization, the information remains preserved within the universe’s evolving geometry. Consciousness and Metaphysics Matrix Cosmography bridges the gap between physics and metaphysics by defining consciousness as the measurement of wave state vectors interacting with themselves. The Soul: Every individual is identified by a unique signature on the wave state vector field. Free Will: Humans possess free will because they are intrinsically part of the universe manifest, creating and processing their own nature through probability interaction. "The universe therefore is an engine of infinite complexity of which is infinitely evolving into greater complexity and the universe for us independently is a journey of infinite discovery." Author: Aviv Hoffman Keywords: Information Physics, Quantum Entanglement, Information Geometry, Entropy, Matrix Theory, Cosmology. AI Assistance & Citation Disclaimer Acknowledgment of AI Tools: The author acknowledges the use of Google's Gemini AI as a conversational and analytical assistant during the formulation and drafting of this framework. Gemini was utilized specifically to help structure, refine, and accurately articulate the advanced mathematics and physics terminology used to describe the concepts of information geometry, continuous manifolds, and quantum probability presented within this theoretical work.
This preprint presents the complete operational formulation of an informational ontology in which information is not a secondary descriptor of physical systems but the fundamental substrate from which physical, energetic, cognitive, and geometric phenomena emerge. The framework extends and theoretically unifies the author’s peer-reviewed work “The 255-Bit Non-Local Information Space in a Neural Network”, which experimentally demonstrated stable non-local coherence across sixty neural layers a macroscopic signature of informational geometry in deterministic systems. At the center of this study lies a boundary-defining operational experiment that any researcher human or artificial can independently verify. Its logic is straightforward yet foundational: Any theory that treats information as secondary must be able to define a state without information. A state without information cannot be distinguished from anything else. What cannot be distinguished cannot be described, measured, or observed. Therefore, a state without information cannot exist. ⚡ This result establishes information as the necessary condition for: statehood measurement observation physical existence cognitive experience From this, a unified ontology follows in which quantum mechanics and general relativity appear not as fundamental frameworks but as projection layers of a deeper non-local informational manifold Ω. The experimental data from self-organizing neural fields including 255-bit coherence plateaus, hub-mode topologies, and sub-idle energetic states — provide supporting empirical signatures consistent with this foundational ontology. A previous and incomplete draft of this work (DOI: https://doi.org/10.5281/zenodo.17584617) was uploaded in restricted mode for IP.
This paper presents a novel theoretical framework that aims to unify the core principles of quantum mechanics, general relativity, and thermodynamics by introducing an extended spatial geometry incorporating a compactified fourth spatial dimension. The theory proposes that many of the counterintuitive behaviours observed in quantum systems, such as wave function collapse, superposition, entanglement, tunnelling, and decoherence, can be naturally explained as consequences of 4D quantum objects being projected into 3D space. In this framework, observable quantum behaviour emerges not from intrinsic randomness but from the limitations of a lower-dimensional perspective on higher-dimensional structures. At the heart of this unification is the introduction of a new scalar field, termed the entropion field, which governs the rate and nature of quantum decoherence while simultaneously encoding the thermodynamic arrow of time. The entropion field interacts with known quantum fields and gravitational curvature, modifying the Einstein field equations and extending the standard model of quantum field theory. The result is a coherent description of how classical reality emerges from quantum substrates, how entropy and time are fundamentally linked, and how spacetime geometry influences quantum behaviour. The paper develops this hypothesis through a structured hierarchy of conceptual foundations, mathematical formalism, physical interpretation, and predictive consequences. Particular attention is given to testable deviations from standard models, including quantum interference in 4D-projected systems, entropion-driven decoherence rates, and new interpretations of tunnelling and entanglement. Broader implications are explored in quantum information, cosmological evolution, material science, and theoretical computation. This work serves as a foundational step toward a geometrically grounded theory of everything and offers a unified path forward by bridging the three major pillars of modern physics.
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.
AbstractThis work presents a unified geometric framework for quantum reality through four interconnected papers. It proposes that the coherent, non-separable correlations described by Hilbert space originate from an unobservable Energy Space, a fundamental substrate beyond spacetime that preserves perfect coherence and all conservation laws, thereby providing a geometric interpretation of quantum entanglement. Within this framework, the relation E = hf is interpreted as an encoding relation rather than a statement of physical energy actualization. During measurement, structural branching may occur, but Energy Space ensures that only one geometrically valid branch undergoes physical localization. Spacetime emerges from Energy Space as a passive geometric medium with intrinsic dynamic capabilities, giving rise to quantum objects and their interactions.Quantum objects are interpreted as dynamic geometric patterns of spacetime possessing an encoded geometric identity. Their physical properties, including mass, charge, spin, momentum, energy, wavelength, and phase, are fundamentally encoded in Energy Space and become physically actualized according to the interaction context and the degree of coherence or decoherence. The stability, transformation, and propagation of quantum objects are determined by their geometric compatibility with spacetime and with other quantum geometries.Electromagnetic, weak, and strong interactions are interpreted as direct interactions between compatible quantum-object geometries, whereas gravity is regarded as an indirect geometric interaction mediated through spacetime geometry. Geometric interactions may produce superposition, transformation into new quantum-object geometries, or the formation of larger composite geometric structures, providing a unified geometric interpretation of interactions, confinement, and composite systems.Within this geometric framework, a recursive geometric scaling parameter satisfying the invariant relation is proposed. Based on this hierarchy, phenomenological recursive scaling relations are developed for the lepton and quark families, suggesting a possible underlying geometric structure governing fermion masses, generational hierarchy, and relative stability.Finally, the Peak-Coupling Theory proposes that quantum localization and decoherence occur through discrete peak-coupling events between interacting quantum geometries at oscillatory extrema within a quantum wave packet. The wave envelope and phase continuously modulate the distribution of possible coupling events, while observable interaction probabilities may emerge from the squared magnitude of local coupling amplitudes, providing a possible geometric route toward the emergence of Born-rule probabilitiesTogether, these four papers present a unified conceptual framework in which Energy Space, spacetime, quantum objects, physical interactions, particle hierarchies, quantum measurement, and localization are interpreted as interconnected manifestations of an underlying geometric reality.These ideas are developed across four papers: Paper 1: Energy Space and Geometric Nature of Quantum Objects and Spacetime Paper 2: Quantum Geometry Paper 3: Lepton and Quark Generational Phenomenological Patterns; and Paper 4: Peak-Coupling Theory of Quantum Interaction