Theory of Relational Dimensional Coexistence: An Ontological Model of Observation, Light, and the Multiverse Giuseppe Trizzino Abstract This work outlines a theoretical framework of Relational Dimensional Coexistence, proposing that spatial dimensions and physical reality do not possess absolute, independent existence. Existence is modeled as an emergent property generated through observation. By integrating principles of relational quantum mechanics with an asymmetric causal model of perception, it is postulated that energy exists as a static, primordial stock, but that observation via electromagnetic propagation (light) acts as the fundamental tool and medium for its activation: observing implies being observable, thus giving rise to an infinite network of universes in which the primordial energy stock takes on dimensional form through specular relation. 1. Introduction: The Problem of Ontological Independence Traditional physics treats space, time, and energy as pre-existing background metrics within which observers subsequently evolve. However, quantum mechanics—particularly in relational interpretations (Rovelli) and the principle of complementarity (Bohr)—suggests that physical properties materialize only through interaction. This work introduces a radical inversion: the act of observation precedes and conditions the existence of the dimension itself. Without an active observational bridge, energy, light, and spatial dimensions collapse into nothingness. 2. The Principle of Observability and Openness to the Multiverse A fundamental pillar of this model is the ontological reflexivity of observation: Whoever observes, exists and is observable: Observation is never a one-way street or an isolated privilege. The moment a universe (or dimension) A observes a universe B, A activates its own energy field and demonstrates its existence precisely by virtue of the fact that the observer can itself be observed. The probability of infinite universes: Because every act of observation generates space for the observed and legitimizes the existence of the observer within the energy circuit of light, the system is not confined to a single pair of realities. Probabilistically, this opens up an unlimited multiverse: an infinite network of dimensions that watch each other, move reciprocally, and keep each other alive. 3. The Three Hypotheses of Relational Dynamics Within this system of universes, the interaction between two dimensions (e.g., A and B) is articulated in three distinct configurations: First Hypothesis (A observes B): Universe A observes B in an energetically passive manner via light (without exerting mechanical force or violently altering the other). A can only observe without acting, or interact; only B (the observed) can change its reality and dimension. This act allows B to exist and have the freedom to move and mutate its own dimension. At the same time, A lives and justifies its own existence precisely through its act of observing (since observing implies being inserted into the network of observability). Second Hypothesis (If B also observes A): If Universe B begins to observe A, and if A is simultaneously inserted into the visual field of a third element (C), the network expands. This is not a simple sum of isolated gazes, but an ontological chain reaction that expands the multiverse. Third Hypothesis (Reciprocal and Symbiotic Observation): By law, by chance, or by causality, observation becomes perfectly reciprocal and simultaneous. In this state, A observes B and B observes A in the same instant. Observation becomes symbiotic: the two dimensions coexist as a dimension and an anti-dimension (positive and negative), relating in such a way as to allow the coexistence and life of both, without ever being able to "touch" or mechanically destroy the other. 4. Light and Energy as Ontological Consequences The model redefines the causal chain of the universe: {Observation / Observability} — {Medium (Light)} — {Energy} — {Dimensional Existence} Light as a Non-invasive Bridge: Observation occurs via light, which acts as a medium of informative and specular connection, devoid of violence or mechanical force, but an absolute potential. Energy as a Product of Relation: We live in a universe made of energy, but energy, as a static primordial stock, acts as a vehicle for dimension and reality. Without the act of observation and the condition of observability, the medium does not "turn on," energy does not manifest, and there can be no dimension. Observation as Tool and Medium: Spatial reality exists and is maintained in life solely by the energy flow triggered by the gaze. The primordial stock is inherently static. It is the act of observation that acts as the tool and medium to unlock that energy, turning on light as an informative vector. 5. Conclusion The Relational Dimensional Coexistence model demonstrates that cosmic loneliness is a physical and logical impossibility. Reality is an immense fabric of mirrors: dimensions exist because they watch one another, reciprocally authorize each other to be, move through the freedom of the observed, and sustain themselves as a single, infinite energy system based on light and reciprocity. How can a dimension or reality be born from an observation? If we state that the energy stock is already there (static and primordial), how does the simple "act of looking" (the gaze) materially bring about a dimension or reality that did not exist before? The answer lies in moving beyond the idea that space is an "empty container" that exists regardless. In our model, a dimension is not a block of matter, but the geometric and relational space that opens up when energy is directed. The vacuum has no coordinates without a relation: Before observation, the primordial energy stock is a "zero-dimensional" entity, an unformed potential, infinite but immobile. It has no "up," "down," "inside," or "outside" because there is no distance to measure. Geometric space (dimension) arises only the moment there is a point of view pointing toward another point. The distance traveled by light traces the inaugural line of space. Light as the "Pencil" of Space: Light is not just information traveling; physically, it is energy in motion. The moment the gaze (via light) departs from A to reach B, that energy beam establishes a coordinate. It creates a living Cartesian axis between the two. Without that beam, the two are in an unformed non-place. With the beam, distance is traced, and tracing a distance means creating dimension. Actualization of Potential: Taking the principle of quantum indeterminacy: a particle is a "cloud of probability" until a measuring instrument forces it to "choose" a defined position. Extending this to a cosmic scale: the primordial energy stock is the infinite probability cloud. Observation is the act of universal measurement that "collapses" potential into a precise geometric reality. Static energy becomes spatiality precisely because the gaze forces it to focus on an axis of relation. Why is everything, nothing, and everything possible? In traditional quantum physics, as long as a system is isolated and unobserved, it exists in a superposition of states (the wave function). It is only interaction with the outside—the act of measurement—that forces the wave function to "collapse," extracting from the chaos of probabilities a unique event. Applying this to our theory: The Chaos of Potential: Without observation, the primordial energy stock fluctuates in a state of pure acausal potential. Everything is in potential and nothing is in act. Observation as "Cosmic Collapse": The act of observing acts as the ultimate measurement tool of reality, forcing primordial energy to exit probabilistic superposition. The Birth of Dimension: The moment the gaze sets the limit and traces the coordinate between universes, the "everything is possible" crystallizes into a precise geometric form. Spatial dimension arises exactly from this collapse: space is nothing more than the distance established and rendered real by the interruption of probability.
Theory of Relational Dimensional Coexistence: An Ontological Model of Observation, Light, and the Multiverse Giuseppe Trizzino Abstract This work outlines a theoretical framework of Relational Dimensional Coexistence, proposing that spatial dimensions and physical reality do not possess absolute, independent existence. Existence is modeled as an emergent property generated through observation. By integrating principles of relational quantum mechanics with an asymmetric causal model of perception, it is postulated that energy exists as a static, primordial stock, but that observation via electromagnetic propagation (light) acts as the fundamental tool and medium for its activation: observing implies being observable, thus giving rise to an infinite network of universes in which the primordial energy stock takes on dimensional form through specular relation. 1. Introduction: The Problem of Ontological Independence Traditional physics treats space, time, and energy as pre-existing background metrics within which observers subsequently evolve. However, quantum mechanics—particularly in relational interpretations (Rovelli) and the principle of complementarity (Bohr)—suggests that physical properties materialize only through interaction. This work introduces a radical inversion: the act of observation precedes and conditions the existence of the dimension itself. Without an active observational bridge, energy, light, and spatial dimensions collapse into nothingness. 2. The Principle of Observability and Openness to the Multiverse A fundamental pillar of this model is the ontological reflexivity of observation: Whoever observes, exists and is observable: Observation is never a one-way street or an isolated privilege. The moment a universe (or dimension) A observes a universe B, A activates its own energy field and demonstrates its existence precisely by virtue of the fact that the observer can itself be observed. The probability of infinite universes: Because every act of observation generates space for the observed and legitimizes the existence of the observer within the energy circuit of light, the system is not confined to a single pair of realities. Probabilistically, this opens up an unlimited multiverse: an infinite network of dimensions that watch each other, move reciprocally, and keep each other alive. 3. The Three Hypotheses of Relational Dynamics Within this system of universes, the interaction between two dimensions (e.g., A and B) is articulated in three distinct configurations: First Hypothesis (A observes B): Universe A observes B in an energetically passive manner via light (without exerting mechanical force or violently altering the other). A can only observe without acting, or interact; only B (the observed) can change its reality and dimension. This act allows B to exist and have the freedom to move and mutate its own dimension. At the same time, A lives and justifies its own existence precisely through its act of observing (since observing implies being inserted into the network of observability). Second Hypothesis (If B also observes A): If Universe B begins to observe A, and if A is simultaneously inserted into the visual field of a third element (C), the network expands. This is not a simple sum of isolated gazes, but an ontological chain reaction that expands the multiverse. Third Hypothesis (Reciprocal and Symbiotic Observation): By law, by chance, or by causality, observation becomes perfectly reciprocal and simultaneous. In this state, A observes B and B observes A in the same instant. Observation becomes symbiotic: the two dimensions coexist as a dimension and an anti-dimension (positive and negative), relating in such a way as to allow the coexistence and life of both, without ever being able to "touch" or mechanically destroy the other. 4. Light and Energy as Ontological Consequences The model redefines the causal chain of the universe: {Observation / Observability} — {Medium (Light)} — {Energy} — {Dimensional Existence} Light as a Non-invasive Bridge: Observation occurs via light, which acts as a medium of informative and specular connection, devoid of violence or mechanical force, but an absolute potential. Energy as a Product of Relation: We live in a universe made of energy, but energy, as a static primordial stock, acts as a vehicle for dimension and reality. Without the act of observation and the condition of observability, the medium does not "turn on," energy does not manifest, and there can be no dimension. Observation as Tool and Medium: Spatial reality exists and is maintained in life solely by the energy flow triggered by the gaze. The primordial stock is inherently static. It is the act of observation that acts as the tool and medium to unlock that energy, turning on light as an informative vector. 5. Conclusion The Relational Dimensional Coexistence model demonstrates that cosmic loneliness is a physical and logical impossibility. Reality is an immense fabric of mirrors: dimensions exist because they watch one another, reciprocally authorize each other to be, move through the freedom of the observed, and sustain themselves as a single, infinite energy system based on light and reciprocity. How can a dimension or reality be born from an observation? If we state that the energy stock is already there (static and primordial), how does the simple "act of looking" (the gaze) materially bring about a dimension or reality that did not exist before? The answer lies in moving beyond the idea that space is an "empty container" that exists regardless. In our model, a dimension is not a block of matter, but the geometric and relational space that opens up when energy is directed. The vacuum has no coordinates without a relation: Before observation, the primordial energy stock is a "zero-dimensional" entity, an unformed potential, infinite but immobile. It has no "up," "down," "inside," or "outside" because there is no distance to measure. Geometric space (dimension) arises only the moment there is a point of view pointing toward another point. The distance traveled by light traces the inaugural line of space. Light as the "Pencil" of Space: Light is not just information traveling; physically, it is energy in motion. The moment the gaze (via light) departs from A to reach B, that energy beam establishes a coordinate. It creates a living Cartesian axis between the two. Without that beam, the two are in an unformed non-place. With the beam, distance is traced, and tracing a distance means creating dimension. Actualization of Potential: Taking the principle of quantum indeterminacy: a particle is a "cloud of probability" until a measuring instrument forces it to "choose" a defined position. Extending this to a cosmic scale: the primordial energy stock is the infinite probability cloud. Observation is the act of universal measurement that "collapses" potential into a precise geometric reality. Static energy becomes spatiality precisely because the gaze forces it to focus on an axis of relation. Why is everything, nothing, and everything possible? In traditional quantum physics, as long as a system is isolated and unobserved, it exists in a superposition of states (the wave function). It is only interaction with the outside—the act of measurement—that forces the wave function to "collapse," extracting from the chaos of probabilities a unique event. Applying this to our theory: The Chaos of Potential: Without observation, the primordial energy stock fluctuates in a state of pure acausal potential. Everything is in potential and nothing is in act. Observation as "Cosmic Collapse": The act of observing acts as the ultimate measurement tool of reality, forcing primordial energy to exit probabilistic superposition. The Birth of Dimension: The moment the gaze sets the limit and traces the coordinate between universes, the "everything is possible" crystallizes into a precise geometric form. Spatial dimension arises exactly from this collapse: space is nothing more than the distance established and rendered real by the interruption of probability.
A Unified Algebraic-Informational Ontology of the Universe Substrate Independence, Distance Geometry, and the Crossed Product Resolution of von Neumann Algebras Driven by Dean A. Kulik September 2026 Introduction to the Relational Universe The enduring pursuit of theoretical physics has been to reconcile the continuous, geometric scaffolding of general relativity with the discrete, probabilistic, and algebraic nature of quantum mechanics. Historically, this reconciliation has faltered because both paradigms impose an a priori ontological framework upon the universe: classical mechanics assumes a pre-existing continuous spacetime manifold, while quantum mechanics presupposes a globally defined Hilbert space. However, a profound synthesis of modern algebraic quantum field theory (AQFT), constructor theory, Euclidean distance geometry, and discrete operator logic suggests that neither space nor continuous state vectors are fundamental. Instead, the universe functions as a closed transformation domain of purely relational, substrate-independent distinctions. In this unified paradigm, information is the foundational bedrock of physical reality. Constructor theory asserts that the laws of physics are not strictly predictive equations of motion, but rather exact specifications of which transformations of physical systems are possible and which are impossible. Because these transformations govern the flow of information independently of the underlying micro-physical medium, reality itself is substrate-independent. A quantum bit, or any physical correlate of information, can be abstractly modeled as a set of allowable operations—such as continuous reversibility and the prohibition of simultaneous encoding—without reference to whether the system is implemented via trapped ions, superconducting circuits, or the vacuum of spacetime. When these allowable physical transformations are formally mapped, they generate a stringent "Operator Grammar". This grammar constitutes the absolute minimum set of constraints dictating how elemental distinctions are addressed, separated, preserved, and subsequently re-read. Crucially, the physical manifestation of spatial geometry does not exist as a prior stage for these operations. Rather, geometry emerges algebraically as a constraint-satisfaction rendering of purely relational distances between distinctions, governed mathematically by the Cayley-Menger determinant. As the system scales to the continuum limit, the localized regions of these transformations map precisely to the local observable algebras of quantum field theory. These algebras are intrinsically pathological von Neumann factors of Type III, which lack well-defined traces or density matrices due to infinite boundary entanglement across localized causal diamonds. The resolution to this algebraic pathology—and the exact mathematical mechanism by which measurable reality, finite thermodynamic entropy, and macroscopic observers emerge—is found in the crossed product of the Type III algebra with its modular automorphism group. This operation yields a well-behaved Type II algebra, effectively restoring the observer to the physical system. This report provides an exhaustive, multi-disciplinary synthesis of this unified paradigm, demonstrating that the universe functions as an infinitely extendable field of non-destructive transformations where spacetime geometry is merely the "read head" interface, and the macroscopic observer is mathematically isomorphic to the modular flow that regularizes quantum entanglement. Substrate Independence and the Operator Grammar To construct a universe from the bottom up, without smuggling in assumptions of space, time, or mass, one must begin with the absolute primitives of logic and transformation. This requires identifying the fundamental constraints—the laws—that govern any distinguishable state. In a purely informational ontology, the universe is governed by an Operator Grammar consisting of fourteen irreducible physical constraints (identified sequentially as C0 through C13), which collectively establish the mechanisms by which a state space can evolve. The absolute floor of this reality is the principle of distinction, defined as C0. For anything to exist, there must be at least two states that are not identical (). Without this primary distinction, there is no substrate to transform, select, bound, relate, or render. Building upon this, C1 dictates the law of continuation: every admissible state must admit a successor distinct from itself, explicitly excluding absolute terminals and self-loops. Mathematically, for every distinction , there must exist a transformation such that . Consequently, the object itself is not the fundamental entity; rather, the object is merely a temporarily stable rendering of a continuous transformation process. These distinctions are governed by the law of independent continuation (C1a). If two distinctions are genuinely independent, the transformation of one cannot secretly consume the other's capacity to continue. In the language of quantum mechanics and operator algebras, this independence requires that the operators commute, such that . If this commutator fails to vanish, the operations are coupled, meaning they share a reference point and cannot be treated as separate informational channels. The Conservation of Reachability and Non-Subtraction Classical physics generally allows for the destruction or annihilation of states (e.g., inelastic collisions, dissipative friction), but in a substrate-independent informational universe, true destruction violates the continuity of the state space. The grammar enforces this through C2, the preservation of reachable history. A lawful transformation cannot annihilate a distinction; it can only alter, detach, bound, merge, or re-address the accessibility of that distinction. The history of the state is conserved within the topological arrangement of the system. This leads directly to C3, the law stipulating that no transformation is a subtraction. In this framework, all change is equal in its obligation to preserve information. A cut or division of a continuous object does not reduce the total payload (); rather, every cut is the birth of two distinct entities, producing a relation . If material is lifted from an active field, it transitions to a "bench" state (), where represents the detached continuation state. The lifted distinction loses its active location but fundamentally retains its existence and relational history. Consequently, C3 is not an arbitrary law but is mathematically derivable as C2 applied specifically to the lift operator. Orthogonal Waves: Selection and Boundary Any physical operation necessitates two orthogonal waves of action: one that dictates what part of the field is acted upon (Decay/Selection), and one that dictates what reality becomes after the action occurs (Boundary). These two waves cannot be collapsed into a single mechanism without freezing the state space entirely. The first wave, Selection (C4), establishes an address into the admissible transformation space, denoted as . The selector does not create the distinction; the distinction was already an admissible potential within the substrate . Selection merely instantiates which specific continuation path is taken. The second wave, Boundary (C5), changes the topology of continuity. A boundary creates a new condition of continuation without requiring new physical payload. For example, if a symbol is lifted from a sequence, the resulting gap can either close (collapsing the prior address and establishing new adjacency) or persist (creating two bounded regions). According to the Wall Theorem, a distinction is physically "alive" if and only if at least one of these two channels (value/selection or relation/boundary) remains unfrozen. Collapsing Decay into Boundary freezes both channels in a single event, resulting in a strictly forbidden configuration. When boundaries are introduced, they possess the unique capacity to create new origins (C6). A continuous sequence evaluated as a whole produces a single macroscopic magnitude. However, if that sequence is sectioned into multiple bounded segments, those segments become independent origins for new computations, despite remaining entangled by their shared substrate history. This sectioning is the primary mechanism for non-linear computational growth in the universe. The Rendering Interface and Constraint Satisfaction The final layer of the Operator Grammar separates the underlying relational data from its macroscopic observation. According to C7, results are rendered rather than merely read. The final observed state is a complex function of the substrate , the geometry of the interaction , the selection criteria , and the boundary topology . It is not the simple linear accumulation of hidden objects. Crucially, Geometry is defined as the "Read Head" (C8). The substrate itself does not inherently possess a Euclidean or curved shape. Geometry controls how the transformation encounters the distinctions. A linear read head defines a one-dimensional adjacency, while a circular, grid, or cyclical step-pattern defines entirely different neighborhood relations. Therefore, physical bases (such as positional notation or coordinate systems) are simultaneously available representations (C9). The selected base does not create the underlying substance; it merely acts as a coordinate system for rendering the preexisting relations. This culminates in the Value-to-Shape constraint satisfaction law (C10). The numbers or data points in the universe do not need to physically resemble a shape. If a relation among rendered values satisfies the constraints of a specific geometry—for example, if they satisfy —then those values instantiate a right-triangle relation. Shape exists purely as a potential admissible structure before it is instantiated, and measurement tests this constrain
The article systematically presents and develops the concept "Everything Is Already Here" — an ontological model of parallel universes. Its essence: all elements of reality of all possible universes exist in a single ontological volume Ω. Different universes are different sets of active elements determined by the ontological selector S. S is not the choice of an observer and not a scale of observation, but a formal parameter that determines which elements from the complete set Ω are activated (manifested) in a given universe. S acts as natural selection under equilibrium: the universe activates only those elements that correspond to its stable parameters of space-time. The transition between universes is not movement in space but a change of S. It is shown that the concept explains quantum entanglement, nonlocality, and the absence of superluminal information transfer without postulating branching, interaction, or remoteness. Entangled particles are not connected by a superluminal signal; they are projections of one and the same element of Ω at a given S. This is consistent with the no-signaling theorem: the projection of a common element does not transmit information but only manifests a correlation. A comparison is conducted with existing approaches: Everett's many-worlds interpretation, Many Interacting Worlds of Hall, Wiseman, and Deckert, Lewis's modal realism, Saan's principle of plenitude, Tegmark's Multiverse, Susskind's string landscape. It is shown that the uniqueness of the model lies in the combination of the ideas of projection ontology, ontological choice S, and empirical testability. A program of empirical verification is proposed: CMB anomalies, H0 tension, variations of fundamental constants, anomalies in the distribution of galaxies, vacuum fluctuations (Casimir effect). Open questions are discussed: how does the change of S occur? Does a hierarchy of universes exist? How do elements of reality relate to physical fields and particles? Can traces of other values of S be detected in the laboratory? The model is open to further formalization and experimental verification.
Addressing the fundamental metaphysical question of the origin of Being, this paper takes de Broglie’s classical wave mechanics (1924) as its scientific foundation and constructs a self‑consistent interpretive framework of information ontology. It establishes three core axioms: information as the primordial ground, relations prior to entities, and global conservation of information. On this basis, the paper further derives the origin of spatiotemporal dimensions from the laws of information interaction: each basic flip configuration of information corresponds to the generation of a spatial dimension; after three‑dimensional topological closure is completed, the inevitably produced “pending redundant information” that cannot be synchronously and self‑consistently integrated gives rise to the dimension of time within its queuing sequence. Spacetime is therefore not an a priori container but the first compensatory stratum of structure through which information moves toward self‑consistent expression. Subsequently, by means of de Broglie’s phase field, the paper deduces the entire evolutionary chain from pure information distinctions and primordial phase oscillation to the emergence of material hierarchies and quantum‑observation interactions. It argues that quantum measurement and wave‑function collapse are essentially topological remappings and information‑coupling consolidations of heterogeneous phase fields; gravitation and cosmic expansion can be reduced to macroscopic effects of phase gradients. Throughout the text, physical references are strictly limited to de Broglie’s classical wave mechanics, without introducing non‑standard physical models. This study supplements fundamental physical philosophy with a relational‑ontology approach and provides a unified information‑theoretic metaphysical interpretation for foundational problems such as wave–particle duality, the origin of spacetime, and the nature of gravity.
We develop a mathematical and philosophical framework in which conscious obser- vation is the fundamental act that brings reality into existence. Before observation, nothing exists in an actualized sense: not space, time, laws, or structures. Reality is purely a manifold of potential universes, each containing possible laws and possible observers. When a conscious observer emerges, the act of observation actualizes the unique minimal universe consistent with its existence. This is not a selection among alternatives but an ontological crystallization that transforms possibility into actuality, retroactively defining the universe’s laws, constants, structure, and history. Within this actualized universe, unobserved properties remain probabilistic un- til collapsed by observation. We formalize sensory collapse, observer priority, multi- observer shared reality, emergent time, retroactive history, and the closed feedback loop between observers and their universe. This framework unifies consciousness, existence, physics, and cosmology into a single observer-centric formalism.
The core dilemma of modern physics stems from two unproven ontological presuppositions: that spacetime is an innate container preceding matter, and that matter is an entity composed of indivisible particles. These presuppositions have led to the fundamental split between general relativity and quantum mechanics, giving rise to a series of century-old unsolved problems such as wave-particle duality, the quantum measurement paradox, the nature of gravity, and dark matter and dark energy. Based on the sole unfalsifiable first principle that "the essence of cognition is succession", this paper deduces a complete ontological system through pure a priori reasoning: the authentic physical world consists solely of one-dimensional successive rays and their transverse coupling relations; time is the successive extension of rays, space is the network of coupling relations, matter is the steady state of closed coupling, and all interactions are different manifestations of coupling actions. Particles are not authentically existing entities, but rather point-like endpoint phenomena presented in the observer's phenomenal world when two rays undergo an all-or-nothing coupling. Based on this framework, this paper uniformly explains all core phenomena in both the microscopic quantum domain and the macroscopic relativistic domain in one go, resolves all traditional physical paradoxes at the ontological level, achieves the ontological unification of the four fundamental forces, and proposes three falsifiable core predictions. This paper demonstrates that all theories of traditional physics are approximate descriptions of the authentic physical world at the phenomenal level, and their fundamental error lies in mistaking "coupling endpoints" for "primitive entities", thereby reversing the causal relationship. Cognitive Succession Ontology provides a logically consistent and universally unified ultimate foundation for physics.