We propose a framework in which the quantum measurement problem dissolves when spacetime is treated as a discrete network of Planck-volume cells. The wave function represents genuinely uncommitted cell states; wave function collapse is the physical commitment of those cells by the causal propagation process; and quantum entanglement arises because correlated cells constitute a single unresolved rendering task with multiple spatial addresses. These three primary results follow logically from the framework's ontology and are clearly distinguished from more speculative directions throughout. We additionally derive that entropy is related to the Planck length via S_max proportional to c^3, predicting a maximum entropy turning point distinguishing this framework from standard cosmology's monotonically increasing entropy. Time travel is shown to be impossible by the same irreversibility mechanism, giving Hawking's chronology protection conjecture a physical derivation rather than remaining a conjecture. A candidate Born rule mechanism is proposed — probability arising from path integrals through the causal cell network — but is clearly labelled as unproven. The framework connects to Wheeler's one-electron hypothesis, Penrose Objective Reduction, and the decoherence programme. The Born rule derivation is identified as the central open problem. This is the second paper in a series on Pixel Theory. Companion Paper 1 (VSL cosmology) is published at https://doi.org/10.5281/zenodo.20491684
We propose a framework in which the quantum measurement problem dissolves when spacetime is treated as a discrete network of Planck-volume cells. The wave function represents genuinely uncommitted cell states; wave function collapse is the physical commitment of those cells by the causal propagation process; and quantum entanglement arises because correlated cells constitute a single unresolved rendering task with multiple spatial addresses. These three primary results follow logically from the framework's ontology and are clearly distinguished from more speculative directions throughout. We additionally derive that entropy is related to the Planck length via S_max proportional to c^3, predicting a maximum entropy turning point distinguishing this framework from standard cosmology's monotonically increasing entropy. Time travel is shown to be impossible by the same irreversibility mechanism, giving Hawking's chronology protection conjecture a physical derivation rather than remaining a conjecture. A candidate Born rule mechanism is proposed — probability arising from path integrals through the causal cell network — but is clearly labelled as unproven. The framework connects to Wheeler's one-electron hypothesis, Penrose Objective Reduction, and the decoherence programme. The Born rule derivation is identified as the central open problem. This is the second paper in a series on Pixel Theory. Companion Paper 1 (VSL cosmology) is published at https://doi.org/10.5281/zenodo.20491684
This is the third paper in the Kosmocosm Framework series. It presents the Kosmocosm interpretation of quantum mechanics and supplies the physical account of phenomena that the Copenhagen interpretation correctly identified but could not explain. Copenhagen is predictively complete but physically incomplete: its founders named wave function collapse, complementarity, and the probabilistic character of measurement, yet supplied no mechanism for any of them, and the Born Rule, its central quantitative postulate, was stated without derivation and left underived for nearly a century. The paper identifies the fermion as the primary physical object, always in a definite state. The quantum wave function (QWF) is the continuous wave description of the fermion's local neighborhood dynamics, not the fermion itself. At each Planck stride, the fermion's definite particle state is captured as an exact archive record, the Quantum Particle State (QPS), by the autonomous advance of the Kosmosphere architecture. No observer is required to produce a definite outcome. The Born Rule is shown to be epistemological rather than ontological: the correct statistical description of what an observer inside the Actual recovers when integrating many already-recorded exact Planck-stride events through an instrument whose response interval spans an astronomical number of strides. The apparent randomness of quantum measurement is in the reading, not in the events; each event is exact. Wave function collapse is accounted for as the observer's instrument catching up to a recording that has already occurred, and the measurement problem is dissolved rather than solved: its premise, that collapse must act on the wave function, is absent from the architecture. The five Copenhagen postulates are preserved as correct observations whose physical explanations the framework is now in a position to supply. Papers 1 and 2 of the series are available at https://doi.org/10.5281/zenodo.18440459 and https://doi.org/10.5281/zenodo.18705241.
Abstract This paper resolves the wave-particle duality and the measurement problem of the double-slit experiment by applying the Cartesian Relativity Framework [1, 2]. We posit that quantum superposition exists strictly as an unrendered probability distribution within the "Backend" of spacetime—a domain devoid of geometric volume and physical time. The physical detection of a particle is a forced "Render Event" onto a discrete, integer-based coordinate topology. By defining the wave function as a continuous Gaussian probability curve mapping to a quantized physical lattice—governed by a fundamental "Resolution Limit" that removes the reliance on mathematical infinity—we provide a deterministic mechanism for Quantum Dithering, Probabilistic Pruning, and the energetic "Lattice Tax" required to maintain non-rendered states. We address potential critiques regarding non-local domains and the energy costs of entanglement, demonstrating how this framework provides superior macro-to-micro coherence over standard interpretations. Finally, we propose falsifiable observational metrics: the laboratory Jitter Shadow, Render Exclusion Zones, and the measurable energetic overhead of logical address synchronization. Footnotes / References: [1] Kerr, A. J. (2026). Cartesian Relativity and the Zeno Non-singularity: A Unified Theory of Quantum Rendered Spacetime and Elastic Coordinate Topology. Zenodo. https://doi.org/10.5281/zenodo.20046745 [2] Kerr, A. J. (2026). Cartesian Spacetime and Macroscopic Gravity: Topological Gradients, Data Collisions, and Planetary Hydrostatic Equilibrium. Zenodo. https://doi.org/10.5281/zenodo.20078172
We propose a minimal discrete model in which causality, time, spacetime geometry, and quantum measurement emerge from a single primitive concept: the node (boundary). A node is defined as an irreversible completely positive (CP) map representing interaction simultaneity—the fundamental unit where states undergo non-unitary transformation. Conventional causality is reconceptualized as a chain of such nodes connected by reversible propagation. Time is not an external parameter but the cumulative count of nodes; temporal flow velocity is proportional to node density. We demonstrate that Minkowski spacetime emerges as the continuum limit of a node network, with gravitational curvature arising from spatial gradients in node density. The quantum measurement problem dissolves naturally as nodes represent the only loci of irreversibility. We derive testable predictions for gravity-induced decoherence independent of gravitational phase shifts, offering clear falsifiability. This framework unifies gravity, quantum mechanics, thermodynamics, and temporal phenomenology through a single ontological primitive: the event itself.
This paper has been updated by https://doi.org/10.5281/zenodo.20279031 This paper resolves the measurement problem and the problem of intersubjectivity—two foundational puzzles of quantum mechanics—within the Planck Core Framework, without requiring any additional postulates beyond the three axioms of the framework. I prove that measurement is not a mysterious non-unitary "collapse" of the wavefunction, but a unitary process of entanglement establishment between subsystems of the quantum bit network. The apparent collapse arises from the observer's limited access to the full entanglement structure: what we perceive as a definite measurement outcome is simply our location within a specific entanglement branch. The Born rule is derived, not postulated—the probability of an outcome is proportional to the number of entanglement threads in the corresponding branch. The Wigner's friend paradox is resolved by proving that different observers may occupy different branches, but their descriptions converge when they exchange information via entanglement. I further introduce the concept of the "information eye"—a hypothetical direct entanglement sensor—and prove that any macroscopic biological organism operating at biological temperatures will inevitably perceive a decohered, classicalised representation of reality, not the underlying quantum information network itself. The classical appearance of the macroscopic world is thus derived as a contingent consequence of thermodynamic constraints on biological evolution, not a fundamental feature of reality. This work completes the derivation of quantum mechanics from the Planck Core Framework, establishing that no special measurement postulate is required.
The quantum measurement problem, i.e., the apparent conflict between unitary quantum evolution and non-unitary, stochastic wave-function collapse, remains unresolved a century after the formulation of quantum mechanics. We first review the standard picture, from the Copenhagen prescription with its Heisenberg cut, through von Neumann's movable cut, to environment-induced decoherence, which explains the emergence of stable classical records but still presupposes the Born rule and therefore cannot by itself replace the measurement postulates. We then connect this problem to the Maximum Entropy Principle in two complementary ways. First, decoherence drives the measurement apparatus toward the least biased state compatible with the dynamically protected pointer distribution, so that the emergent collapse may be viewed as a thermodynamic relaxation toward constrained maximum entropy. Second, we propose a Timeless Histories formulation of quantum mechanics in which the primitive objects are ordered sequences of events rather than evolving wave functions. Their conditional probabilities are assigned, relative to specified refinements, by a single Born-Boltzmann rule that combines the quadratic structure of Born's rule with Boltzmann's counting of equally probable microstates. The textbook form of Born's rule, the projection postulate, density operators, and wave functions are then recovered as derived informational constructs, while collapse becomes Bayesian conditioning on recorded events. Time and space enter only subsequently through unitary translation symmetry. Since the probability rule is postulated without reference to any physical collapse or classical observer, the usual circularity of the decoherence program is avoided. Decoherence can then be invoked to explain the stability and approximate additivity of macroscopic records, i.e., the emergence of classicality.
This work proposes the Collapse Clock Hypothesis, a framework in which physical time is defined by the rate of irreversible wavefunction collapse, interpreted as a process of information pruning constrained by finite informational capacity. Within this framework, spatial variations in collapse rate give rise to differential progression of proper time, providing a potential mechanism for gravitational time dilation and related phenomena. The approach integrates concepts from quantum information theory, thermodynamics, and emergent spacetime, drawing connections to prior work on entanglement entropy, holographic bounds, and thermodynamic derivations of gravitational dynamics. A computational implementation using a Score-Driven Kinetic Ising Model (SDKIM) is presented to explore whether the proposed causal chain—mass → interactions → entanglement → collapse suppression → slower time—can arise dynamically in a simplified lattice system. The simulations demonstrate robust qualitative behavior consistent with collapse-rate suppression in highly entangled regions, while also highlighting important limitations, including the use of mean-field approximations and the absence of a direct quantitative mapping to known gravitational field equations. This work is intended as a speculative but testable framework rather than a complete theory. Several falsifiable predictions are outlined, including potential signatures in precision timekeeping, quantum-coherent systems, gravitational wave phase evolution, and cosmological observables. These predictions are presented at an order-of-magnitude level and require further development for direct comparison with experimental data. The goal of this work is to explore whether irreversible information dynamics may provide a unifying underlying mechanism for time, gravity, and cosmological evolution, and to motivate further investigation into collapse-based approaches to fundamental physics.