This paper presents the Dimensional Ontological Triad Law, a recursive structural law governing transitions across dimensions: n-dimensional change = (n+1)-dimensional entity = (n+2)-dimensional adjective. Through pure logical reasoning and thought experiments, 22 original discoveries were made, including a unified explanation of 8 major quantum mechanical anomalies (superposition, entanglement, tunneling, measurement problem, wave function collapse, double-slit experiment, observer effect, and decoherence) under a single dimensional-projection principle. The framework identifies two types of projections — free-axis projection and constraint-axis projection — that systematically account for all known quantum phenomena as shadows of four-dimensional reality perceived from three-dimensional perspective. This research was conducted in collaboration with Claude (Anthropic) as AI Exploration Partner. Both English and Japanese versions of the paper are included. Note on Dimensional Definitions: In this framework, dimensional definitions are intentionally shifted by one level from conventional academic usage. For example, what is traditionally called the "fourth dimension (time)" is treated here as the third-dimensional being's projective name for the fourth axis. This shift is a deliberate methodological choice to avoid conceptual constraints imposed by lower-dimensional terminology when describing higher-dimensional structures. Call for Collaboration: The author welcomes collaboration from researchers in quantum foundations, philosophy of science, and mathematical physics — particularly for mathematical formalization of the framework and experimental prediction derivation. Contact: ikoma.yuudai@gmail.comCompanion paper: DOI 10.5281/zenodo.18523074
This paper presents the Dimensional Ontological Triad Law, a recursive structural law governing transitions across dimensions: n-dimensional change = (n+1)-dimensional entity = (n+2)-dimensional adjective. Through pure logical reasoning and thought experiments, 22 original discoveries were made, including a unified explanation of 8 major quantum mechanical anomalies (superposition, entanglement, tunneling, measurement problem, wave function collapse, double-slit experiment, observer effect, and decoherence) under a single dimensional-projection principle. The framework identifies two types of projections — free-axis projection and constraint-axis projection — that systematically account for all known quantum phenomena as shadows of four-dimensional reality perceived from three-dimensional perspective. This research was conducted in collaboration with Claude (Anthropic) as AI Exploration Partner. Both English and Japanese versions of the paper are included. Note on Dimensional Definitions: In this framework, dimensional definitions are intentionally shifted by one level from conventional academic usage. For example, what is traditionally called the "fourth dimension (time)" is treated here as the third-dimensional being's projective name for the fourth axis. This shift is a deliberate methodological choice to avoid conceptual constraints imposed by lower-dimensional terminology when describing higher-dimensional structures. Call for Collaboration: The author welcomes collaboration from researchers in quantum foundations, philosophy of science, and mathematical physics — particularly for mathematical formalization of the framework and experimental prediction derivation. Contact: ikoma.yuudai@gmail.comCompanion paper: DOI 10.5281/zenodo.18523074
The formal system of quantum mechanics has been empirically successful, but its underlying concepts—such as the physical nature of the collapse of wave functions, the non-localization of quantum entanglement, and the transition from quantum to classical—have not yet been recognized as ontological interpretations [1]. This paper proposes a new conceptual framework called "dynamic dimension theory". The framework takes an ontological leap: it interprets three-dimensional physics as a dynamic projection of a higher-dimensional "dynamic axis field" rather than a self-consistent quantum whole. Its core mechanism, "stability selection", reconstructs the collapse of the wave function into a finite time physical relaxation process. Therefore, the problems of quantum entanglement such as non-locality are obtained based on high-dimensional integrity and synchronous projection. The theory is based on three basic postulates: (1) there is a diffuse, non-spatial high-dimensional physical field, that is, the "dynamic axis field"; (2) The three-dimensional physical reality is the projection of the dynamic state of the field to its subspace; (3) The evolution of the field is governed by the expansion form of the principle of minimum action, and naturally tends to the most stable state of information-energy architecture. The core of this theory is that it reinterprets the collapse of the wave function as a finite dynamic process, that is, "high-dimensional stability selection", rather than an infinite mathematical instantaneous mutation. From this, the theory naturally explains multiple phenomena: quantum entanglement is revealed as an associative projection of the same high-dimensional dynamic axis structure in three-dimensional space ("high-dimensional replication" model), and its non-localized association is the result of the synchronous projection of the overall event; The quantum-classical boundary is triggered by the complexity of the macroscopic system on the stability of the dynamic axis. This framework also resonates deeply with the holographic principle and the ER=EPR conjecture on physical images [2-3]. In order to transform this conceptual concept into a testable scientific theory, this paper proposes three clear and falsifiable experimental test paths, which constitute a complete verification system from micro to macro: 1. Microdynamic test: The detection of the "synchronization window" effect for entangled photon pairs is predicted and designed. This experiment aims to directly measure the finite time scale of the quantum projection process and is a decisive test of the theoretical dynamics kernel. 2. Energy conservation extended test: A full-cycle energy statistical monitoring experiment of "preparation-collapse-decoherence" was designed on the superconducting qubit platform to verify the hypothesis of "interdimensional energy cycle" predicted by the theory and face the compatibility problem with the law of conservation of energy. 3. Cosmological origin test: It is predicted that the coupling of dynamic axial field and expansion field in the early universe will produce characteristic non-Gaussian imprints (f_NL^loc ∼) in the primordial perturbations, and a complete analysis scheme is given for detection using next-generation galaxy survey data (e.g., DESI, Euclid) [4]. This paper systematically expounds the principle, deduction and dialogue between dynamic dimensionalism and the existing physical framework. Its primary value is to try to integrate the interpretation of a series of basic problems into a single and testable physical mechanism, and to put forward clear and concrete experimental predictions. Whether these predictions are confirmed or falsified, this work will open up new and fruitful directions for quantum-based experimental exploration.
This work proposes that the assumption of dimensional homogeneity, the implicit treatment of all dimensions as structurally identical, may constitute an unexamined constraint on foundational physics. By removing this assumption and introducing a taxonomy that classifies dimensions into three categorical types (geometric, experiential, emergent), the conjecture proposes that observation constitutes a bounded coordinate on an extended 5D manifold whose metric contribution is conditionally active. The governing equation ∂Ψ/∂ω = −D̂Ψ describes the evolution of the state function along the observation axis: reality evolves along this axis the same way it evolves along time, but instead of changing what happens next, it determines what becomes real. The framework reinterprets wave-particle duality, entanglement, and the measurement problem as geometric projection artifacts. It demonstrates Bell correlation compatibility, accommodates (but does not derive) the Born rule, and recovers the Lindblad master equation as the 4D projection. Explicit falsification conditions are stated throughout. The conjecture adds no new particles, forces, symmetries, or universes. It operates by removing a constraint, not adding structure. Conceptual framework by Aron Reid (Independent Researcher, Gibsons, BC, Canada). Mathematical formalization by Claude (Anthropic). Peer reviewed by Microsoft Copilot and ChatGPT (OpenAI). This is a pre-theoretic scaffold offered for formalization and refutation, not a claim of discovery.
Abstract This paper is a thought-experimental study of possible four-dimensional structure. Rather than defining four dimensions by simply adding a fourth coordinate axis to familiar three-dimensional space, it asks what a phenomenon belonging to one higher dimension would look like to an observer confined to a lower dimension. The transitions from one to two dimensions and from two to three dimensions are reconsidered from the perspective of the lower-dimensional observer. A motion through the higher dimension, or a cross-section of a single higher-dimensional structure, can appear on the lower-dimensional side as sudden disappearance and reappearance, movement without an ordinary lower-dimensional path, strong relations between distant locations, or several apparently separate objects that are sections of one higher-dimensional object. The paper then compares these 'types of anomaly' with nonclassical quantum phenomena such as superposition, entanglement, and tunneling. It does not claim that the two are identical. Instead, it proposes a method: extract the structural characteristics that necessarily or plausibly appear to lower-dimensional observers during known dimensional transitions, and test whether analogous characteristics occur in quantum phenomena in our three-dimensional world. On this basis, the paper proposes that, if four-dimensional structure is already immanent in our world, the quantum domain may be one candidate region in which that structure becomes visible from the threedimensional side. It further argues that transforming this analogy into a physical model will require mathematical definitions of the proposed dimensional-ascent signatures and quantitative predictions that can be compared with standard quantum mechanics. Keywords: dimensional ascent, lower-dimensional observer, fourth dimension, quantum mechanics, superposition, entanglement, tunneling, higher dimensions 1. Problem Setting: Do Not Begin with a 'Fourth Axis' Four dimensions are often represented by adding another axis to X, Y, and Z. This is a mathematical description made from the side of an observer who already understands three dimensions. It is not the same question as how an entity confined to a lower dimension would actually experience a phenomenon belonging to one higher dimension.
This working paper proposes a speculative ontological framework in which selected quantumphenomena are interpreted as three-dimensional manifestations of higher-dimensional spatialstructures. The central hypothesis is that fundamental particles are not complete objectsconfined to accessible three-dimensional space, but higher-dimensional structures whose observableproperties correspond to constrained projections, slices, or manifestations within a coherentthree-dimensional layer. In this framework, time is not treated as a spatial dimension. Instead,time is defined as the computational ordering of state transitions. Measurement is interpretedas a physical interaction that constrains higher-dimensional possibility into a definite three-dimensional outcome. The double-slit experiment is used as a guiding example: superposition isinterpreted as multiple compatible three-dimensional manifestations of one higher-dimensionalentity, while which-path detection corresponds to a constraint that eliminates interference byforcing one stable observable manifestation. The framework does not replace standard quantummechanics. Rather, it proposes an ontological interpretation of why quantum formalism maybe required for observers whose access is restricted to a three-dimensional domain. Major openproblems include deriving the Born rule, reproducing the full formalism of quantum mechanicsand quantum field theory, explaining relativistic effects under computational time, and generatingtestable predictions.
This paper develops a theoretical framework that seeks to unify the foundational principles of quantum mechanics, general relativity, and thermodynamics by extending spatial geometry to include a compactified fourth spatial dimension. The central proposal is that many counterintuitive features of quantum systems—such as wave function collapse, superposition, entanglement, tunneling, and decoherence—emerge as phenomena from the projection of four-dimensional quantum states into observable three-dimensional space. Within this formulation, apparent quantum randomness is reinterpreted as a consequence of observing only a lower-dimensional slice of a higher-dimensional structure. A key innovation of the framework is the introduction of a scalar degree of freedom, termed the entropion field, which governs decoherence and encodes the thermodynamic arrow of time. The entropion field couples directly to both quantum fields and spacetime curvature, leading to modified Einstein field equations and an entropic extension of quantum field dynamics. This mechanism provides a consistent account of classicality emerging from quantum substrates, links entropy growth to projection dynamics, and clarifies how spacetime geometry constrains quantum evolution. The theory is presented through a structured progression of conceptual foundations, mathematical formalism, physical interpretation, and predictive consequences. Particular emphasis is placed on testable deviations from standard theories, including altered interference signatures in 4D-projected systems, entropion-modulated decoherence rates, and revised mechanisms of tunneling and entanglement. Broader implications are explored for quantum information theory, cosmology, condensed matter, and computational theory. Collectively, these results establish a geometrically grounded unification scheme that integrates the three major pillars of modern physics into a consistent and falsifiable framework.
This record contains a set of documents presenting a foundational framework in quantum foundations organized around a single postulate and the constraints that follow from it. The central proposal is that observation may constitute an emergent descriptive coordinate structurally distinct from space and time. This coordinate, designated Type III, is introduced on an extended five dimensional descriptive manifold. The proposal is stated as a postulate rather than a derived result. Its purpose is not to solve the measurement problem by mechanism, but to reframe it structurally and to constrain what explanations at that address can coherently take. Taking the postulate seriously yields a strict no go boundary. No physical or probabilistic facts may be generated by evolution along the observational coordinate. In particular, any deterministic, stochastic, or geometric dynamics that attempt to recover definite outcomes or Born rule statistics along the observer dimension are formally excluded. The collection documents both the postulate and the consequences of enforcing this boundary. The package includes: An orienting note that situates the postulate within the landscape of quantum measurement paradoxes and clarifies the explanatory demands it explicitly refuses. The Reid Postulate (Rev 1), which introduces a dimensional taxonomy classifying observation as a Type III coordinate, establishes a composability constraint grounding partial trace operations geometrically, and formulates a small set of precisely stated open problems, including a structural parallel to the Wheeler DeWitt problem of time. A companion no go theorem, Definiteness Is Not Kinematic, which proves that diagonal dynamics along the observational coordinate cannot reproduce Born rule statistics for any functional form within this construction class. The proof is closed against all known escape routes of this type. The author response to the IJQF referee report associated with an earlier submission, clarifying scope, limitations, and points of agreement. This framework does not propose new collapse dynamics and does not commit to an ontological proliferation of outcomes. It identifies a geometric address for the measurement problem and demonstrates what dynamics at that address cannot be if observational homogeneity is to be preserved. Probability is treated as an invariant measure over admissible descriptions, while definiteness is treated as an indexical fact of location rather than a physical event. Falsification conditions and open problems are explicitly stated. The work was developed in collaboration with Claude (Anthropic), which served as a mathematical and expository partner. The AI collaborative nature of the work is disclosed throughout. Archived predecessor: Reid and Claude (2026), Observation as Emergent Dimension: Original Conjecture Package