The Quantum Time-Machine Paradox:Testing the Frame-Recording Ontology in a Double-Slit Experiment

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.