We propose that causation does not exist in the physical worldbut explanationdoes. Our framework distinguishes two structures often conated: derivation (the-orems follow from axioms) and causation (events produce other events). Physicsretains the former while eliminating the latter. Beginning from constraint axiomsempirically discovered structures that cannot themselves be derivedwe show thatapparent causal claims become theorems: synchronization, phase transitions, andmeasurement outcomes are derivable from constraint geometry, not produced bycausal mechanisms. The quantum measurement problem dissolves because col-lapse presupposes causation; what remains is constraint satisfaction. Entanglementis correlation constraint, not action at a distance. Spacetime emerges as a perspec-tival feature of embedding within atemporal constraint structure. We situate thisframework relative to Adlam's constraint-based laws, Rovelli's relational quantummechanics, and ontic structural realism. The methodological principle is: axiomscannot be causally explained (this would require prior causes), but theorems can bederived from them. Explanation terminates not in deeper causes but in empiricallydiscovered constraint structures.
We propose that causation does not exist in the physical worldbut explanationdoes. Our framework distinguishes two structures often conated: derivation (the-orems follow from axioms) and causation (events produce other events). Physicsretains the former while eliminating the latter. Beginning from constraint axiomsempirically discovered structures that cannot themselves be derivedwe show thatapparent causal claims become theorems: synchronization, phase transitions, andmeasurement outcomes are derivable from constraint geometry, not produced bycausal mechanisms. The quantum measurement problem dissolves because col-lapse presupposes causation; what remains is constraint satisfaction. Entanglementis correlation constraint, not action at a distance. Spacetime emerges as a perspec-tival feature of embedding within atemporal constraint structure. We situate thisframework relative to Adlam's constraint-based laws, Rovelli's relational quantummechanics, and ontic structural realism. The methodological principle is: axiomscannot be causally explained (this would require prior causes), but theorems can bederived from them. Explanation terminates not in deeper causes but in empiricallydiscovered constraint structures.
Realist interpretations of quantum mechanics presuppose the existence of elements of reality that are independent of the actions used to reveal them. Such a view is challenged by several no-go theorems that show quantum correlations cannot be explained by non-contextual ontological models, where physical properties are assumed to exist prior to and independently of the act of measurement. However, all such contextuality proofs assume a traditional notion of causal structure, where causal influence flows from past to future according to ordinary dynamical laws. This leaves open the question of whether the apparent contextuality of quantum mechanics is simply the signature of some exotic causal structure, where the future might affect the past or distant systems might get correlated due to non-local constraints. Here we show that quantum predictions require a deeper form of contextuality: even allowing for arbitrary causal structure, no model can explain quantum correlations from non-contextual ontological properties of the world, be they initial states, dynamical laws, or global constraints.
The tension between quantum entanglement and relativistic causality has persisted fornearly a century. Bell inequality violations demonstrate correlations inexplicable by localhidden variables, yet relativity prohibits faster-than-light causal inuences. We dissolvethis tension through causal eliminativism: causation does not exist in fundamental physics.Three results follow: (1) Bell correlations are derivable as atemporal relational constraintswithout causation; (2) relativity prohibits superluminal causation, which does not exist,not superluminal correlation, which does; (3) the measurement problem disappears whenreconceived as constraint activation rather than causal collapse. The 90-year problem wasan artifact of imposing causal categories onto an acausal world. We survey the neo-Russelliantradition supporting this move, address the measurement problem's standard formulation(Maudlin 1995), and demonstrate concrete applications to the Wigner's friend scenario andBell's theorem premises.
We present a constraint-based axiomatization of quantum correla- tions that derives Bell statistics without invoking Hilbert space, wave functions, or causal mechanisms. Starting from five physically moti- vated axioms—rotational invariance, perfect anti-correlation, uniform marginals (no-signaling), smoothness, and extremality—we prove that the singlet correlation function E(ˆ a,ˆˆb) =−ˆa·b is uniquely deter- mined. The proof proceeds through functional equation analysis: the extremality axiom implies angle additivity, reducing the problem to Cauchy’s equation with boundary conditions. We derive the Tsirelson bound |S|≤2√2 directly from this correlation function without op- erator algebras, and show that CHSH violation follows as a theorem. The no-signaling condition emerges as a structural property of the con- straint, ensuring compatibility with relativistic causality. We extend the framework to tripartite systems, deriving GHZ correlations from analogous axioms and proving maximal Mermin inequality violation. The constraint interpretation dissolves the tension between entangle- ment and causality: correlations are neither caused nor explained by hidden variables—they are specified by the constraint structure itself. This framework recovers all quantum predictions while eliminating causation from the foundational ontology.
Author’s Note This paper is an ontological attempt to describe quantum mechanics through the discrepancy that arises between an atemporal structural frame and a temporal observational frame. It does not propose any alteration to the mathematics of quantum mechanics, nor does it dispute the predictive success of the Schrödinger equation, the Born rule, or the standard formalism. The paper contains three connected ideas: first, the distinction between atemporal causation and temporal causation; second, the application of that distinction to quantum measurement, entanglement, decoherence, and apparent randomness; and third, the broader structural implication that discrete number may emerge from the same bridging operation by which continuous dependency becomes temporally readable as definite value. These ideas are ambitious, and they are presented together because the full context is necessary for the argument to be understood. The claim is not that quantum physics is mathematically wrong. The claim is that some of its long-standing conceptual difficulties may arise from interpreting atemporal constraint-bearing dependence through the grammar of temporal causation. In short: the mathematics remains untouched. What is being revised is the ontology through which that mathematics is read. Description This paper proposes a structural distinction within the concept of causation. Atemporal causation is defined as the constraint-bearing dependence relations that hold among elements of any system whose joint configuration is constrained, present whether or not temporal sequence is available. Temporal causation is the same dependence read as before-and-after through temporal grammar once temporal readability emerges. The distinction follows from prior work in the ENSO Framework, where time is not primitive but emergent and where causation is therefore not primitive either. The argument is anchored empirically by the Flow Before Number result, in which a binary cascade rule containing no φ produces φ at the measurement layer to machine precision. The paper commits openly to a consequence the framework's logic forces: ontological randomness, in the strong sense of irreducible structureless stochasticity, is not a coherent category. Any system exhibiting non-trivial joint distribution has dependence relations among its variables; those relations are constraint-bearing; therefore atemporal causation is operating in the system. What we call randomness is the temporal-causal unreadability of atemporal-causal structure, not the absence of structure. This commitment is tested against quantum mechanics. The paper argues that every spooky feature of quantum phenomena — entanglement non-locality, measurement-driven randomness, the double-slit interference pattern, EPR correlations, wavefunction collapse — resolves into atemporal-causal structure when read through the appropriate grammar. The argument is anchored in the structural form of the wave equations themselves: the Klein-Gordon and tight-binding Schrödinger forms are dependency-recursions of the same structural type as the Fibonacci recursion, the canonical case of dependence-as-constitution producing φ as its attractor. From this anchor follows the deepest claim of the paper. The Schrödinger equation, on the framework's reading, is not merely a description of state evolution but the formal description of a bridging operation: the structural transition from atemporal-causal continuous dependency-structure to temporal-causal discrete value. Evolution and measurement are not separate processes but two faces of a single bridging operation. The bridging operation has a consequence for number: numbers are what discrete values become when treated as objects of an independent system, and number theory inherits the structural form of the bridging operations that produce its objects. Number theory and quantum mechanics are structurally continuous, both products of dependency-recursive bridging on the same kind of structural dependence. This recasts Wigner's "unreasonable effectiveness" puzzle: the fit between mathematics and physical reality is not unreasonable but reflects shared structural origin. The paper engages directly with Russell's 1913 elimination of causation from physics, Pearl's interventionist account, Reichenbach's common cause principle, the Bell-EPR foundations of quantum mechanics, and the structuralist tradition in philosophy of mathematics (Benacerraf, Shapiro, Resnik, Linnebo). Falsification conditions and limits are stated openly. The paper does not claim to settle the foundations of probability, quantum mechanics, or the philosophy of mathematics; it claims that a structural reading is available that has been talked around in all three literatures without being named, and that naming it has empirical and structural consequences worth taking seriously. For further information about the ENSO Framework, please contact Eric Needham:ensotheory1@gmail.com
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.
At the basis of the problem of explaining non-local quantum correlations lies the tension between two factors: on the one hand, the natural interpretation of correlations as the manifestation of a causal relation; on the other, the resistance on the part of the physics underlying said correlations to adjust to the most essential features of a pre-theoretic notion of causation. In this paper, I argue for the rejection of the first horn of the dilemma, i.e., the assumption that quantum correlations call for a causal explanation. The paper is divided into two parts. The first, destructive, part provides a critical overview of the enterprise of causally interpreting non-local quantum correlations, with the aim of warning against the temptation of an account of causation claiming to cover such correlations 'for free'. The second, constructive, part introduces the so-called structural explanation (a variety of non-causal explanation that shows how the explanandum is the manifestation of a fundamental structure of the world) and argues that quantum correlations might be explained structurally in the context of an information-theoretic approach to QT.