Quantum Continuum Theory (QCT): Observation as Projection of an Invariant Superposition

David Halenta

Published Nov 4, 2025• 0 citations

Abstract

The Quantum Continuum Theory (QCT) presents a meta-theoretical framework in which quantum mechanics, spacetime geometry, and cognition emerge as projections from an invariant pre-ontic continuum (Ω). Unlike Copenhagen, Many-Worlds, Bohm, or QBism, QCT eliminates auxiliary mechanisms—collapse, branching, hidden variables—by treating projection as the fundamental generative principle. Five axioms formalize invariance, emergent spacetime as projection interference, and relational objectivity through projection overlap. QCT resolves the measurement problem structurally, reinterprets entanglement without nonlocality, addresses the preferred-basis problem, and aligns with timeless quantum cosmology (Wheeler–DeWitt equation). By deriving coherence, nonlocality, and spacetime from projection principles rather than postulating them independently, QCT provides explanatory depth across quantum foundations, emergent gravity, and quantum cognition, maintaining formal equivalence with standard quantum mechanics in projection-dense limits.

DOI: 10.5281/zenodo.17522829

Related papers

Projection as Structural Necessity in Quantum Continuum Theory (QCT)

David Halenta

This paper provides the formal and mathematical foundation for the Quantum Continuum Theory (QCT) introduced in the author’s earlier publication Observation as Projection of an Invariant Superposition. It establishes projection as a structural and mathematically necessary consequence of universal invariance rather than an interpretive device. Through theorems by Gleason and Naimark, the work demonstrates formal equivalence with standard quantum mechanics while offering a distinct ontological framework grounded in projectional geometry. The paper consolidates QCT into a coherent, self-consistent theory linking invariance, coherence, curvature, and entropy—bridging quantum foundations with information geometry and epistemic structure.

Nov 5, 20250 citations

Observer Coherence in Quantum Continuum Theory (QCT): Toward a Non-Collapse Model of Shared Perception

David Halenta

This paper extends the Quantum Continuum Theory (QCT) by introducing a model of observer coherence that explains intersubjective agreement without invoking wavefunction collapse. Within QCT, observation is formulated as an informational projection from the universal continuum rather than a physical reduction. The paper defines mathematical measures for inter-observer coherence, demonstrating how shared perception arises from informational synchronization across projection operators. It contrasts QCT’s non-collapse model with Copenhagen, relational, and QBist interpretations and outlines potential experimental tests and cognitive implications. This work completes the QCT trilogy by formalizing the emergence of shared reality as a limit of coherent projections within the universal field.

Nov 8, 20250 citations

Spacetime Wave Quantum (SWQ) Theory: A New Foundational Framework Beyond Interpretational Debate

Toru Myogadani

Standard quantum mechanics requires six independent axioms of the Copenhagen interpretation, all formulated in a non-relativistic framework lacking Lorentz invariance and thus fundamentally inconsistent with Minkowski spacetime. This paper argues that the measurement problem, wave-function collapse, Schrödinger's cat, and the non-locality of entanglement share a common root: non-relativistic quantum mechanics is an approximation of a more fundamental theory, and interpretations built upon an approximation cannot be fully correct. We propose Spacetime Wave Quantum Theory (SWQ theory), which takes Minkowski spacetime as its sole geometric premise and proceeds from two axioms: Axiom 1 (Quantum nature): A quantum exists in spacetime with finite extent and behaves as a wave whose action changes only in discrete multiples of h. Axiom 2 (Superposition principle): Superposition on multiple paths holds if and only if no difference arises in the state of external quanta between those paths — a purely physical condition with no role for observer consciousness. From these two axioms, the Klein–Gordon and Dirac equations are derived directly, with the Schrödinger equation recovered as their non-relativistic limit. The six Copenhagen axioms are replaced by two. Central concept — the Spacetime Action Packet (SAP): Every quantum occupies a finite four-dimensional spacetime region. For energy E, the temporal thickness satisfies Δt ≳ h/E. The SAP has a minimum size but no upper bound; quantum interactions are described as overlap integrals over the spacetime volume where two SAPs coincide. A key consequence is that different quanta — including three quarks inside a nucleon and neutrinos traversing the Earth — can occupy the same spacetime region without restriction; the Pauli exclusion principle applies only to identical fermions in identical states. Principal results of v2.0: Wave-function collapse is dissolved as the physical end and beginning of a quantum wave (wave-terminating interaction); the projection postulate is unnecessary. Feynman spacetime integration and virtual particles acquire a natural physical basis; finite SAP size provides an intrinsic UV cutoff without renormalization. Zero-point energy (ħω/2) is diagnosed as an artifact of operator ordering in quantization — not a physical entity — rendering the cosmological constant problem a structural consequence of summing a quantity that was never real. A first-order extension to a-ECG curved spacetime shows that gravitational redshift, gravitational mass deficit, and the increase in SAP temporal thickness all scale as √A(r), unifying classical and quantum descriptions of energy conservation under gravity. These results are supported by quantitative tests obtained without renormalization: the electron anomalous magnetic moment ae = α/2π (1-loop) and 2-loop coefficient C4 to 0.0015%; the Compton cross-section to within 0.07% of the Klein–Nishina formula; and nucleon magnetic moments to ∼1.5%. Details appear in the series papers on the Rotating Spinor Wave (RSW) model. Series context: SWQ theory forms the foundational framework for the RSW model (unified description of fermion spin, g-factors, and hadron mass spectra) and the Energy-Conserving Gravity theory (a-ECG, a modification of general relativity incorporating full energy-momentum conservation). These three papers constitute an interconnected series. Note: Generative AI tools (Claude Sonnet 4.6, Anthropic; Grok, xAI) were used for drafting and language checking. All scientific content and responsibility rest solely with the author.

Mar 23, 20260 citations

Collapse Spacetime Model: Foundations and Postulates

Chretien Versteegh

General relativity and quantum mechanics rely on fundamentally incompatible conceptions of spacetime: the former treats spacetime as a smooth, dynamical entity, while the latter presupposes a fixed background on which quantum states evolve. This work introduces the Collapse Spacetime Model (CSM), a foundational framework in which spacetime itself is not fundamental but emerges from discrete ontological transition events (OTEs)—objective, irreversible acts of actualization that generate localized spacetime structure. Within CSM, quantum state reduction is reinterpreted as one particular manifestation of a more general ontological transition, rather than as an anomaly within unitary dynamics. A central refinement, the Multiplicity of Spacetime Hypothesis (MSH), proposes that physical systems construct their own partial spacetimes, with the classical spacetime continuum arising from stable intersections among these locally generated structures. Constants such as the speed of light are interpreted as invariant structural ratios of spacetime co-generation, rather than as fundamental properties of matter or signals. The model aligns conceptually with causal set theory, emergent network geometry, and collapse-based approaches, while offering a unified ontological account of spacetime emergence, time’s passage, and the relational origin of geometry. CSM reframes physical reality as a becoming universe, providing a coherent foundation for quantum gravity, cosmology, and the philosophy of time, while deliberately postponing detailed dynamical and mathematical formalization to future work.

Jul 5, 20250 citations

A 4D Quantum Projection Framework of Space, Time, and Measurement

Mazen Zaino

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.

Sep 13, 20250 citations

Spacetime as an Emergent Causal Structure: A Quantum Mechanical Perspective

Changlong Wen

This paper explores the fundamental nature of spacetime from the perspective of emergent causal structures, rooted in quantum mechanical principles. We propose a theoretical framework that treats spacetime not as a pre-existing background, but as a collective phenomenon arising from the interaction of quantum causal relations. By analyzing the constraints of causality and quantum coherence, we derive key implications for the emergence of classical spacetime geometry and the limits of local realism. Our results suggest a new way to bridge quantum mechanics and gravitational theory, providing a foundation for future studies in quantum gravity and spacetime physics.

Mar 11, 20260 citations