Context: This manuscript serves as the foundational ontology paper for the Directed Acyclic Graph Interpretation (DAGI) research program at Whytics. Abstract: Quantum mechanics is remarkably successful in predicting experimental outcomes, yet it remains conceptually challenging: the status of the wavefunction, the meaning of "measurement", and the origin of the arrow of time are still debated. We propose an interpretation grounded in information theory and graph theory, representing quantum histories as a single Directed Acyclic Graph (DAG) of informational states. In this model, nodes represent quantum informational states (density operators) and directed edges represent physical interactions that update those states. Branching occurs precisely when an interaction creates a durable, distinguishable record that cannot be coherently erased at the relevant scale; decoherence corresponds to record proliferation into the environment; and quantum erasure corresponds to coherent record removal that can re-enable interference by merging previously distinguishable histories. Furthermore, we prove a Kolmogorov Consistency Theorem for finite-amplitude DAGs, guaranteeing that the framework yields a coherent probability measure on the decohered quotient graph and exactly recovers unitary Schrödinger evolution in the non-branching limit. We show how this ontology resolves standard quantum paradoxes without introducing ambiguous collapse postulates or an ontological multiplication of worlds, and we outline auxiliary operational predictions motivated by the model. In particular, DAGI motivates an "informational time dilation" program: an operational clock's inferred progress decreases with the rate of irreversible record creation under schedule-matched controls, and increases toward baseline when records are coherently erased. We additionally report initial IBM Quantum hardware results from the C1-LC program regarding light-cone transport, motivating a refined conformal hypothesis for how time and causal structure emerge from record density. Key Highlights: Novel Ontology: Replaces the ontological extravagance of the Many-Worlds Interpretation with a single, strictly causal DAG of informational records. Mathematical Rigor: Provides a mathematically rigorous Kolmogorov Consistency Theorem for finite-prefix cylinder sets, resolving standard measure-theoretic pathologies in history-based interpretations. Paradox Resolution: Resolves Wigner's Friend, Delayed Choice, and Schrödinger's Cat paradoxes through an explicit mathematical graph-refinement logic. Hardware Testability: Formulates the theoretical foundation for operational time dilation and causal-cone transport limits actively being benchmarked on IBM superconducting quantum processors.
Context: This manuscript serves as the foundational ontology paper for the Directed Acyclic Graph Interpretation (DAGI) research program at Whytics. Abstract: Quantum mechanics is remarkably successful in predicting experimental outcomes, yet it remains conceptually challenging: the status of the wavefunction, the meaning of "measurement", and the origin of the arrow of time are still debated. We propose an interpretation grounded in information theory and graph theory, representing quantum histories as a single Directed Acyclic Graph (DAG) of informational states. In this model, nodes represent quantum informational states (density operators) and directed edges represent physical interactions that update those states. Branching occurs precisely when an interaction creates a durable, distinguishable record that cannot be coherently erased at the relevant scale; decoherence corresponds to record proliferation into the environment; and quantum erasure corresponds to coherent record removal that can re-enable interference by merging previously distinguishable histories. Furthermore, we prove a Kolmogorov Consistency Theorem for finite-amplitude DAGs, guaranteeing that the framework yields a coherent probability measure on the decohered quotient graph and exactly recovers unitary Schrödinger evolution in the non-branching limit. We show how this ontology resolves standard quantum paradoxes without introducing ambiguous collapse postulates or an ontological multiplication of worlds, and we outline auxiliary operational predictions motivated by the model. In particular, DAGI motivates an "informational time dilation" program: an operational clock's inferred progress decreases with the rate of irreversible record creation under schedule-matched controls, and increases toward baseline when records are coherently erased. We additionally report initial IBM Quantum hardware results from the C1-LC program regarding light-cone transport, motivating a refined conformal hypothesis for how time and causal structure emerge from record density. Key Highlights: Novel Ontology: Replaces the ontological extravagance of the Many-Worlds Interpretation with a single, strictly causal DAG of informational records. Mathematical Rigor: Provides a mathematically rigorous Kolmogorov Consistency Theorem for finite-prefix cylinder sets, resolving standard measure-theoretic pathologies in history-based interpretations. Paradox Resolution: Resolves Wigner's Friend, Delayed Choice, and Schrödinger's Cat paradoxes through an explicit mathematical graph-refinement logic. Hardware Testability: Formulates the theoretical foundation for operational time dilation and causal-cone transport limits actively being benchmarked on IBM superconducting quantum processors.
The Directed Acyclic Graph Interpretation (DAGI) represents physical processes as a single locally finite directed acyclic graph of informational states, records, and admissible updates. This note refines the meaning of ``branch'' inside that ontology. A branch is not an ontologically duplicated universe, an arbitrary subset of nodes, or a complete microscopic path. It is an \emph{observer-local causal accessibility sector}: the strict quotient of a record-conditioned causal cone by exact indistinguishability over the accessible record algebra of a specified observer or observable class. The local temporal asymmetry of a node is expressed without adding a stochastic primitive to the ontology: the resolved past is the set of persistent accessible records, while the unresolved future is the set of admissible record-candidates that may become persistent records along directed continuations. Interference is described as amplitude-level evaluation over histories that share the same persistent-record trace, where concurrent accessible records are retained as a partial order rather than forced into a linear word. A distinguishing record refines a coherent macro-node into subnodes; erasure coarsens the accessible record trace and can restore conditional interference classes. In strict graph language, nodes are coarse-grained informational states or events, edges are admissible update relations that change downstream reachability or distinguishability, and records are topologically persistent updates whose distinguishing descendants remain accessible beyond the local decorrelation scale. Charge, field, observer, branch, and connection are not additional ontological entities above the graph, but coarse-grained descriptions of stable subgraph structure and reusable edge-update rules. Causal-cone posets provide a natural computational representation of such accessibility sectors, while powerset decompositions remain useful but physically less structured baselines. The resulting branch ontology is concise: the global DAG contains the admissible informational structure; a local observer occupies a record-conditioned accessibility sector; persistent records refine that sector; admissible record-candidates define possible future refinements; erasure coarsens it; macro-nodes quotient inaccessible micro-variation; and physically meaningful posets are those that track causal accessibility rather than arbitrary set membership. Keywords: DAGI, causal cones, observer-local branching, causal accessibility, posets, quantum erasure, higher-order information, emergent spacetime, relational quantum mechanics, macro-nodes, charge-conditioned edge composition
Context: This manuscript serves as the foundational quantum mechanics capstone for the DAGI (Directed Acyclic Graph Interpretation) research program at Whytics. It provides the computable, hardware-verified kinematic engine required to complete Relational Quantum Mechanics (RQM) and resolve macroscopic measurement paradoxes. Abstract: The tension between unitary evolution and irreversible wavefunction collapse is acutely encapsulated in the Wigner's Friend paradox and extended no-go theorems. While relational frameworks (e.g., Relational Quantum Mechanics) posit that physical states are inherently observer-dependent, they have historically lacked a computable kinematic mechanism to determine exactly \emph{when} and \emph{for whom} a measurement becomes an irreversible fact. Here, we introduce \emph{Observable-Selective Branching} within the Directed Acyclic Graph Interpretation (DAGI). We propose that wavefunction collapse is not a universal foliation of spacetime, but a topological phase transition governed by the mereological complexity of the observer. Using M"obius inversion on Boolean subset lattices, we define an observable's "informational cross-section" by its irreducible synergistic support (interaction order k). A macroscopic record induces irreversible branching relative to an observable if and only if the record intersects that topological support. Crucially, we test this topological stratification experimentally on IBM superconducting processors (\texttt{ibm_fez}, \texttt{ibm_marrakesh}). Under strictly pulse-matched controls, we demonstrate a "split outcome": a spatially separated physical record produces a bounded/null effect on a highly localized k=1 probe (an operational clock), confirming unitary isolation for the simple observer. Simultaneously, the identical record drastically suppresses a distributed k≥3 GHZ-class coherence witness, confirming collapse for the complex observer. Finally, we demonstrate that applying a coherent quantum-eraser control actively un-branches the graph, restoring global coherence. These hardware results provide a physical mechanism for relational quantum mechanics, demonstrating that the objective, universally shared "global stage" of classical reality is simply the thermodynamic limit of observable-selective branching. Key Highlights: Resolution of Wigner's Friend: Replaces the philosophical ambiguity of the measurement problem with a strict, computable topological boundary based on Möbius interaction order (k). Observable-Selective Collapse: Demonstrates mathematically and empirically that wavefunction collapse is not a universal scalar event, but a relational graph-cut bounded by the observer's informational cross-section. Hardware Validation: Translates the Wigner's Friend paradox into a concrete, schedule-matched validation suite on IBM superconducting hardware, proving that low-complexity probes bypass records while high-complexity probes suffer irreversible collapse. Topological Healing: Proves via coherent erasure (ERASE) that measurement backaction is a programmable, informational structure rather than irreversible thermodynamic hardware damage. Bridge to Quantum Darwinism: Explains the emergence of an objective macroscopic reality as the thermodynamic limit of observable-selective branching for dense, macroscopic (k≈1023) entities.
Context: This manuscript serves as the empirical Quantum Darwinism validation track for the Directed Acyclic Graph Interpretation (DAGI) framework at Whytics. It bridges Wojciech Zurek's paradigm of decoherence with DAGI's topological mereology, providing the rigorous mathematical derivation of the "Redundancy Plateau" utilized throughout the broader research program. Abstract: Recent advances in quantum experiments allow rigorous tests of how classical reality emerges from quantum systems. Here we present an experimental validation of the Directed Acyclic Graph Interpretation (DAGI) theoretical framework using a multiscale information decomposition applied to a state-of-the-art quantum Darwinism experiment on superconducting circuits (Zhu et al., 2025). We analyze the mutual information between a quantum system and fragments of its environment, decomposing it via a Möbius inversion technique into irreducible k-body informational contributions. Our results confirm a unique prediction of the DAGI framework: we observe a "Redundancy Plateau" where higher-order synergistic information (involving three or more environmental subsystems, k≥3) is strongly suppressed for partial environment fragments. First-order redundant information (f1) heavily dominates, second-order overlaps (f2) are strictly negative, and higher-order terms (k≥3) nearly perfectly cancel out. Synergy becomes significant only when the entire environment is accessed, successfully isolating the system's residual quantum entanglement as an irreducible N-body secret. This pattern cannot be reproduced by standard decoherence models without DAGI’s information-theoretic perspective. The validation of this prediction bolsters the falsifiability of the DAGI framework and provides the exact kinematic mechanism for how objective classical reality emerges from the quantum substrate.
Context: This manuscript provides the empirical hardware foundation for the Emergent Spacetime Geometry (ESG) and Directed Acyclic Graph Interpretation (DAGI) research programs at Whytics. It details the physical extraction of microscopic "informational time dilation" primitives from IBM superconducting qubits, which are subsequently used to parameterize macroscopic gravitational simulations (g₀₀). Abstract: We report an empirical, hardware-defined informational time dilation effect on superconducting quantum processors (ibm_fez, ibm_marrakesh): when an operational quantum clock is locally coupled to irreversible record creation (mid-circuit measurement and reset), its inferred forward progress is drastically reduced relative to a strictly schedule-matched baseline. Conversely, applying a coherent quantum-eraser control at the exact same physical interaction depth successfully uncomputes the record, maintaining the clock near its unperturbed baseline. We define a relative dilation factor D = N_eff / N by inverting a monotone baseline calibration curve. Across strictly schedule-matched sweeps, increasing the density of irreversible records yields a strong monotone decrease in clock progress down to D ≈ 0.2 – 0.3, whereas coherent erasure yields D ≈ 0.93. Rigorous multivariable model selection confirms this effect is governed by informational irreversibility rather than standard physical gate load. Information-aware predictors decisively outperform standard two-qubit crosstalk proxies by a massive margin (ΔBIC = 64.18). Crucially, pilot light-cone (C1-LC) transport experiments reveal a conformal-metric refinement: we observe strong local clock dilation (D ≈ 0.384) while causal-cone transport velocities remain invariant within uncertainty (v_record / v_sham ≈ 1). This indicates that records renormalize proper time without shrinking null cones. Furthermore, we document a severe spatial "split outcome" for remote backaction. A spatially separated k=1 clock remains completely isolated from a remote measurement (ΔD ≈ 0.0015), whereas a distributed k ≥ 3 GHZ coherence witness undergoes massive suppression (Δ_GHZ = −0.1569) that is heavily restored via coherent erasure (R_erase = 0.964). This falsifies a universal scalar mechanism for nonlocal clock slowdown, pointing instead to an observable-selective topological graph-cut. Finally, we map these hardware-calibrated primitives to emergent gravity. The empirical Generalized Record-Rate (GRR) map (r → D) extracted here provides the foundational time-dilation primitive for Emergent Spacetime Geometry (ESG), defining the temporal metric component as g₀₀ ∝ −D². These strict hardware primitives successfully parameterize a 10,000-node classical DAG simulation, spontaneously generating localized macroscopic time-dilation wells that satisfy weak-field Einstein-Poisson closure diagnostics (median relative RMSE ≈ 0.0029). Key Experimental Highlights: Irreversibility-Controlled Time: Empirically proves that local operational clock rates are fundamentally controlled by the density of irreversible record creation, rather than standard thermal/gate noise. The Quantum Eraser Switch: Demonstrates that clock slowdown is a programmable, informational graph-property; applying coherent erasure actively rewinds the thermodynamic boundary and restores normal clock rates. Invariant Light Cones: Empirically verifies a core requirement for emergent relativity: proper time dilates locally, but the maximum speed of causal transport remains invariant. Hardware "Split Outcome": Validates that remote measurement backaction is observable-selective, completely bypassing localized operational clocks while severely suppressing distributed synergistic entanglement. The Microscopic Engine for Gravity: Extracts the exact empirical transfer function needed to parameterize g₀₀, bridging noisy intermediate-scale quantum (NISQ) devices to macroscopic Einstein-Poisson gravitational simulations.
Context: This manuscript belongs to the empirical hardware-validation track of the DAGI (Directed Acyclic Graph Interpretation) research program at Whytics. It provides direct experimental evidence for high-order informational thresholding, a concept central to the framework's treatment of emergent spacetime and black hole information. Abstract: The Directed Acyclic Graph Interpretation (DAGI) framework predicts that certain globally coherent variables are not locally accessible, but instead reside in irreducible high-order information structures (synergy) that become available only when sufficiently many degrees of freedom are jointly accessed. Motivated by Page-time transitions in black-hole information and by entanglement-wedge thresholds in holographic quantum error correction, we design a deliberately minimal "threshold-lock" circuit family whose measurement statistics implement a synergy-only encoding of a binary label K: all 1- and 2-bit marginals of the early radiation are (ideally) independent of K while the 3-bit prefix jointly reveals K. We execute this experiment on IBM Quantum ibm_torino with n=6 measured qubits and 2048 shots per key, alongside a "leaky" control in which low-order information is intentionally present. Using a Möbius/DAGI decomposition of the mutual information over the prefix subset lattice, we observe a sharp Page-like turn-on for the locked variant, with cumulative positive synergy dominated entirely by an intrinsic order-3 term. A bootstrap reliability sweep confirms that the locked order-3 synergy mass is statistically stable, while the leaky order-3 signal remains unstable. These results constitute a compact, falsifiable hardware demonstration that DAGI can detect and distinguish high-order, thresholded information release from low-order leakage in real quantum measurement data, supporting the use of DAGI Möbius diagnostics as experimental probes of Page-like information transitions and as design tools for DAG-inspired QECCs. Key Highlights: Hardware-Verified Thresholds: Demonstrates a distinct Page-curve-like accessibility transition on a superconducting IBM Quantum processor. Synergy vs. Leakage: Proves the efficacy of the DAGI Möbius decomposition in distinguishing true irreducible high-order synergy from low-order hardware leakage. Holographic Analogs: Provides an operational, circuit-level analog for entanglement-wedge reconstruction phenomena utilized in emergent gravity and holographic error correction.
This manuscript reframes a series of IBM superconducting-qubit experiments as a targeted validation study for the Directed Acyclic Graph Interpretation (DAGI), with emphasis on the operational distinction between \emph{record creation} and \emph{record erasure}, and on how that distinction manifests in different classes of observables. DAGI models quantum processes as a directed acyclic graph of informational events: branching is permitted only when an interaction produces a durable record at the relevant coarse-graining scale, while coherent erasure can restore interference by removing the distinguishing record. We consolidate three falsifier-friendly hypotheses: (H1) remote record activity need not produce a universal ``clock slowdown'' for arbitrary local probes; (H2) remote influence is expected to appear preferentially in observables supported by a relational/entangled substrate; and (H3) the record/eraser distinction should be directly visible in distributed witnesses under strictly pulse-matched controls. Using the C1 ``informational time dilation'' series as the local benchmark, and the T4 remote-closure suite as the nonlocal stress test, we report a split outcome: clock-side remote slowdown remains bounded and proxy-dominated in tested geometries, yet a GHZ-class distributed coherence witness exhibits a large, replicated record-creation (REC) versus reversible sham (SHAM) separation on both ibm_fez and ibm_marrakesh, and is strongly restored by coherent erasure (ERASE). We position this pattern as evidence for observable-selective remote sensitivity that is consistent with DAGI's record/eraser mechanism while remaining conservative about hardware backaction channels.