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Anchored Causality Theory: A Record-History Ontology for Open Quantum Systems

Kelly Sonderegger

Published Oct 30, 2026• 0 citations
Publisher

Abstract

Quantum mechanics describes a wave that spreads and interferes; a detector records a particle at one place and time. Anchored Causality Theory (ACT) accounts for both: the electron is a stable wave-mode structure of one composite field, never a particle on a path. A detector's bath of photons and atoms keeps a record that tells the alternatives apart, say the two lobes of a wave behind two slits. The record is released, beyond recall, when nothing the system will actually undergo can restore interference. One alternative becomes an event: a mark in the one actual history. No observer is needed; Schrödinger evolution is never modified. Four thought experiments, each performed in the laboratory, carry the argument. An unread lossy slab removes the fringes; a tunable coupling sets their fading rate; a reversible filter sorts the field's components, producing no event; and single marks build fringes with no path recorded, a particle pattern once a path record is released. For an event of ACT's kind, eraser and recovery experiments exclude every earlier moment tested; release is the earliest allowed. ACT changes no quantum prediction and adds one commitment: one history of released records is actual. No event leaves two marks: proved where the bath returns no record, assumed beyond. Given refinable records, two requirements force Born weights: a record's chance here is unchanged by whether records are made elsewhere and continuous in the wave. A covariant release criterion is open. The wave is what exists; the particle is what happens.

DOI
10.5281/zenodo.23811463

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Quantum mechanics describes a wave that spreads and interferes; a detector records a particle at one place and time. Anchored Causality Theory (ACT) accounts for both: the electron is a stable wave-mode structure of one composite field, never a particle on a path. A detector's bath of photons and atoms keeps a record that tells the alternatives apart, say the two lobes of a wave behind two slits. The record is released, beyond recall, when nothing the system will actually undergo can restore interference. One alternative becomes an event: a mark in the one actual history. No observer is needed; Schrödinger evolution is never modified. Four thought experiments, each performed in the laboratory, carry the argument. An unread lossy slab removes the fringes; a tunable coupling sets their fading rate; a reversible filter sorts the field's components, producing no event; and single marks build fringes with no path recorded, a particle pattern once a path record is released. For an event of ACT's kind, eraser and recovery experiments exclude every earlier moment tested; release is the earliest allowed. ACT changes no quantum prediction and adds one commitment: one history of released records is actual. No event leaves two marks: proved where the bath returns no record, assumed beyond. Given refinable records, two requirements force Born weights: a record's chance here is unchanged by whether records are made elsewhere and continuous in the wave. A covariant release criterion is open. The wave is what exists; the particle is what happens.
@5incere5cience · Sincere Science · We Are the Champions 20 1 1 2 3 5 8 ... ∞AbstractWe re-examine the double-slit experiment under the ontology established in prior@5incere5cience work — discrete energy packets (Einstein 1905a), relative time with zeroproper time on null worldlines (Einstein 1905b), time as the sequence of discrete interactionevents in each packet's own frame, and agency as the direction of spin at the forced resolutionnode. Under these axioms, the difference between the 'no detector' (OFF) and 'which-pathdetector' (ON) regimes is a difference in the number of resolution events traversed by thepacket in its own history: two ticks versus three. The packet itself is the same discrete object inboth cases. What is traditionally called wave-particle duality dissolves as a linguistic artifactarising from the attempt to reconcile two statistical patterns by postulating a change of nature.Weak-measurement phenomenology is accounted for as population mixing of binaryindividual-packet histories, anchored by direct macroscopic observation in microscopy ofStructured Vesicular Entities (SVEs). The delayed-choice quantum eraser (Kim et al. 1999)dissolves its apparent retrocausality via the same separability-failure move previously used todissolve Bell nonlocality. The quantitative derivation of the OFF-regime interferencedistribution from first principles — the analog of the cos2(θ) derivation completed forpolarization in an earlier paper — is flagged explicitly as an open problem. All claims aremarked with epistemic status (observation, logical consequence, working hypothesis, postulate,open problem) so that readers can identify which parts of the construction are load-bearing,which are exploratory, and which invite refinement.
Committed Presentism is a single-history ontology of quantum mechanics in which only the present exists, reality advances through one global now within a causal domain, and one already-decohered branch becomes actual while the others never do. The paper establishes the framework's admissibility: it is coherent, populated by explicit models, and reproduces the confirmed predictions of quantum mechanics on the finite-dimensional algebras in the commit regime and of relativity in the sectors analyzed. Within that scope, the committed present leaves no marginal signature on the pointer algebra or on any unconditioned spacelike-separated marginal; the silence is exact at every record overlap, and optimal discrimination remains at chance. Ensemble-mean energy is preserved in the commit regime. The base structure, eternalism, Committed Presentism, and Stein point-relative becoming are therefore operationally tied within the stated comparison class. Reality is the currently committed configuration and the locus of truthmaking. The future is open because it has not yet committed. The past is a prior configuration, not a stored region; wherever the present-compatible history fiber is non-singleton, the antecedent is not recoverable from the present together with the law. Past-tensed propositions are grounded by the total present, its laws, and its boundary structure, and are gap-bearing exactly when they vary across the histories compatible with that present. If this is how reality works, then the present was never supposed to show up as an extra reading on an instrument. The present is the condition under which any reading is actual at all.
Measurement, Decoherence, and the Frozen Frame: A Presentist Reading of Quantum Reality This work is an essay in natural philosophy, philosophy of physics, and temporal ontology. It develops a presentist reading of measurement in which objective reality is the presently instantiated, evolving physical world, while measurement records preserve selected aspects of earlier interactions. Its central argument is that physical consequences can persist through evolution without requiring the continued operative existence of the configurations from which those consequences arose. A measurement record is understood as a temporally isolated frozen frame of a past present. Its physical carrier exists and evolves now; its represented content refers to an interaction whose originating configuration has already changed. The frozen character belongs to the represented content, rather than to a physical halt in the world. Time is essentially removed from the recorded narrative when an interaction is represented as fixed information, even if a timestamp preserves its position within a historical sequence. The essay adopts continuous physical evolution along a coherent arrow of temporal succession, without an imposed fundamental frame rate. The discrete entries produced by instruments are samples within that continuing evolution. An ordered archive of measurements therefore preserves selected historical information rather than continuously instantiating the objective reality it represents. In the operative sense developed here, the earlier configuration is no longer real as the configuration acting now; its effects continue through the physical organization that has evolved from it. The double-slit experiment provides the principal pedagogical example. Localized detections accumulate into a spatial interference pattern. The finished display is a present physical record with historical content, rather than a simultaneous configuration of all the particles that produced it. The statistics of the marks retain evidential force: they constrain explanations of the coherent organization and physical interactions responsible for the detections. For coherently prepared path amplitudes, the detection probability density is: P(x) = |ψ₁(x) + ψ₂(x)|² = |ψ₁(x)|² + |ψ₂(x)|² + 2 Re[ψ₁*(x)ψ₂(x)]. The cross term expresses interference in the predicted spatial statistics. If the alternatives become correlated with normalized path-marker states E₁ and E₂, the unconditioned density becomes: P(x) = |ψ₁(x)|² + |ψ₂(x)|² + 2 Re[ψ₁*(x)ψ₂(x)⟨E₁|E₂⟩]. Identical marker states preserve the interference term; orthogonal marker states suppress it. This dependence concerns physical correlations and requires no conscious reading of the marker. The philosophical argument distinguishes that physical explanation from the temporal status of the completed record. A sequence of idealized detection records can be written: Rₙ = {(xᵢ, tᵢ) : i = 1, …, n}.Hₙ(B) = Σᵢ₌₁ⁿ 𝟙ᴮ(xᵢ).p̂ₙ(B) = Hₙ(B)/n. Here B is a detector bin and 𝟙ᴮ is its indicator. The histogram combines positions from successive interactions while omitting their temporal order. Under independent, identically prepared trials and stable apparatus conditions, its normalized counts estimate the corresponding bin probabilities. Accurate statistics need not constitute a continuous capture of the changing physical world that generated them. The account treats operative existence through physical efficacy at the relevant here and now, independently of human observation. It distinguishes an earlier event, its propagated consequences, and the currently existing record. Quantum coherence belongs within the evolving world; durable records belong within it as present physical organizations carrying historical information. The essay also distinguishes the suppression of accessible interference from the actual occurrence of one particular outcome, identifying the latter as a task for a developed physical account. The contribution is an ontological argument grounded in laboratory phenomena and quantum formalism. Equations and historical displays are treated as representations whose predictive value does not make them identical to objective reality. Local causal succession, a proposed common present, and a complete law of actualization are articulated as separate questions. Natural philosophy supplies the framework for asking how physical existence, temporal progression, causation, and historical reference fit together. The archive contains a ten-page illustrated essay, an Overleaf-importable pdfLaTeX source package, three pedagogical figures, two comparison tables, eight references, and an archival metadata companion. The figure-generation script and dependency list accompany the source. The plotted detections and coherence curves are reproducible synthetic illustrations; the experimental context is cited in the essay. The guiding proposition is that a record preserves selected aspects of a past present while reality proceeds beyond the configuration in which those aspects were actual. The archive records aspects of what once was; the world continues as what presently is.
This paper presents a foundational thought experiment and proposes a radical ontological framework for interpreting quantum mechanics and the nature of time. It moves beyond conventional interpretations by testing them against a novel scenario: a hypothetical "time machine" (device 𝒲) capable of passively reading the past state of a quantum system without interacting with it. The central testbed is the classic double-slit experiment. In Stage 1, performed at time T_0, the experiment is run without any path detection, yielding the standard interference pattern. In Stage 2, at a later time T_0 + ΔT, the device 𝒲 is used to retroactively "read" the precise state of the system at the moment the electron passed the slit plane. The pivotal question is: What information about the electron's path will 𝒲 find? The analysis demonstrates that established interpretations face significant paradoxes: The Copenhagen Interpretation risks falling into retrocausality, as the mere potential for future path-information readout could retroactively collapse the interference pattern. The Many-Worlds Interpretation leads to internal inconsistency, as the deterministic, single-path history observed within a given branch by 𝒲 contradicts the interference pattern observed in that same branch's past. The de Broglie-Bohm (dBB) Interpretation, while positing a hidden trajectory, struggles with the mechanism of how 𝒲 could read this information without interacting with the guiding pilot wave, which is essential for the interference effect. As a resolution, the paper proposes a new ontological model based on a geometric, discrete conception of reality. The core tenets are: Fundamental Entities: Reality is a dynamic network of "p-gluons," postulated as geometric quanta of spacetime. Discrete Frames: Observable reality is not continuous but consists of a sequential generation of discrete, global "frames" (K_i). Each frame is a complete geometric snapshot of the entire p-gluon network's configuration. The Axiom of Record Economy (AOZ): This is the central formal postulate. At each generative step, at most one frame from the space of locally possible states (ℋ_poss) is physically realized. A frame is generated if and only if it satisfies a condition of global consistency with the entire history, as determined by a fundamental "algorithm of reality" (𝒜). Crucially, states in ℋ_poss that are not selected for generation attain no ontological status whatsoever; they are abstract possibilities, not unrecorded facts. Emergent Time: Observable time is not a fundamental background parameter but an emergent measure of the rate (Ḳ) at which these global frames are generated. Within this Frame-Recording Ontology, the time-machine paradox finds an elegant and decisive solution: In the double-slit experiment without a detector, the only configuration consistent (via algorithm 𝒜) with the future observation of an interference pattern is a global superposed state. This state, describable as an extended pattern of geometric correlations in the p-gluon network encompassing both slits, is the one and only frame generated (K_T0). Deterministic "path" frames (electron at S_1 or S_2) are not generated; they remain unrealized abstractions. Therefore, when device 𝒲 reads the past, it accesses the sole ontological record: frame K_T0. It finds no geometric data corresponding to a classical path because such data was never physically recorded. The answer is not "the information is hidden" (epistemology), but "the corresponding fact was never generated" (ontology). The paper elaborates on the non-anthropomorphic, non-teleological nature of algorithm 𝒜, framing it as a constraining structure akin to a variational principle rather than a conscious selector. It discusses the model's implications for the measurement problem (reinterpreted as the generation of a "classical" frame), nonlocality, and its philosophical shift from epistemic to ontological indeterminacy. Methodology: The work is developed using the author's "Pencil Case Philosophy" or "Sonar Modeling" approach. This methodology begins by constructing minimal axiomatic building blocks (p-gluons, AOZ, 𝒜), activates the system, and rigorously traces its logical consequences without prior commitment to reproducing existing theoretical frameworks.
## Abstract Textbook quantum mechanics defines measurement using ideas that are not themselves basic physics: "observer," "macroscopic apparatus," "irreversible record." We take this definition apart and find that it bundles two different things: the physical event of an interaction, and the statistical fact that the event's result becomes hard to erase. We separate them. A measurement, in its minimal form, is a causal link: when event A and event B interact, a fact is established between them — B's state relative to A. This happens at every interaction, at every scale, with no apparatus required. What laboratories call "a measurement" is the same kind of event, after its result has spread — fanned out — into so many further causal links that undoing it is no longer practical. This reading gives the quantum eraser a clean explanation: an outcome is erasable exactly as long as its causal fan-out stays narrow. It also clarifies what decoherence theory does and does not do: decoherence is the physics of fan-out, and it does that job well; the question it was criticized for not answering (why one outcome, with Born-rule probability) belongs to a different layer. Nothing in the existing formalism changes. What changes is the definition — and with it, the need for a separate "collapse mechanism" disappears. Because the basic unit here is a causal link, the whole picture can be built directly on discrete causal structures, which we identify as the natural next step. Keywords: measurement problem, decoherence, causal link, quantum eraser, relational quantum mechanics
Quantum mechanics permits many possible outcomes, yet every successful measurement leaves one definite record: one detector clicks, one mark remains, one result becomes part of history. What turns a spread of possibilities into a single stable fact? This paper proposes that the answer lies in record basins. A detector is not merely something that interacts with a quantum system. It is a context-conditioned physical system that channels many microscopic histories into a small set of stable, distinguishable and reproducible records. Each complete history ends in one retained basin. Operationally, that is what appears as collapse. From this starting point, the paper asks why detector outcomes possess the projector-like logic used in quantum mechanics. Within one measurement context, mutually exclusive record basins generate an ordinary Boolean event algebra. The non-Boolean structure appears only when the record algebras of incompatible contexts are connected through propositions that preserve the same physical meaning across those contexts. This produces a partial contextual event geometry. The paper then identifies the further physical condition required for orthomodular closure: whenever one stable record proposition is contained within another, the difference between them must itself be able to exist as a stable, compatible and exclusive record. The proposal therefore reverses the usual explanatory order. Rather than beginning with projectors and asking what they mean physically, it begins with stable detector records and asks what geometry those records force. The resulting picture is simple: a detector is a record-forming dynamical system, collapse is the formation of one retained basin-level fact, and the quantum record lattice is the structure created by how such facts fit together across incompatible measurement contexts.