I propose a new framework called Temporal Information Dynamics (TID), designed for quantum measurement built on a single physical principle: the rate of decoherence into an environmental mode is proportional to the rate of irreversible information recording, not merely the rate of energy dissipation. TID makes two distinct contributions that I carefully delineate. First, it provides a unified descriptive language, backward state crystallisation, for quantum measurement phenomena including the double-slit experiment, Schr¨odinger’s cat, Wheeler’s delayed choice, the quantum eraser, Wigner’s friend, EPR correlations, and the quantum Zeno effect. I am clear that this constitutes a redescription within the AharonovBergmann-Lebowitz (ABL) two-state formalism, not a resolution of the measurement problem. Second, and more substantively, TID proposes that the recording quality of each environmental mode, its capacity to create a distinguishable, stable record of which system state obtained, enters the routing weight as an independent physical parameter beyond what standard decoherence theory captures. I ground this in the ABL formalism, where recording capacity decomposes naturally into accessibility (forward overlap) and stability (backwardoverlap under time-reversal reinterpretation). I derive the capacity-weighted routing formula via a detector-grounded POVM formulation, connecting it to quantum channel distinguishability. Numerical simulations demonstrate that for a qubit symmetrically coupled to thermal and squeezed vacuum modes at matched mean photon number, TID predicts a branchingratio of 60.7 : 39.3 versus the standard prediction of 50 : 50 at squeezing parameter r = 1, with analytical-numerical agreement confirmed to an internal mathematical consistency of < 0.002%. The prediction is sharp, falsifiable, and accessible with current superconducting circuit technology. I identify the precise conditions under which TID deviations vanish (thermal equilibrium, Fock-basis routing) and where they are maximal (non-equilibrium states with anisotropic phase-space structure). I engage with the non-Markovian open-systems literature, the Keldysh formalism, and existing squeezed-reservoir experiments, and providea defense against the objection that the standard squeezed-reservoir M parameter already accounts for the predicted deviation. Throughout, I attempt to maintain a strict separation between what TID inherits from established formalism, what it redescribes, and what it genuinely adds.
I propose a new framework called Temporal Information Dynamics (TID), designed for quantum measurement built on a single physical principle: the rate of decoherence into an environmental mode is proportional to the rate of irreversible information recording, not merely the rate of energy dissipation. TID makes two distinct contributions that I carefully delineate. First, it provides a unified descriptive language, backward state crystallisation, for quantum measurement phenomena including the double-slit experiment, Schr¨odinger’s cat, Wheeler’s delayed choice, the quantum eraser, Wigner’s friend, EPR correlations, and the quantum Zeno effect. I am clear that this constitutes a redescription within the AharonovBergmann-Lebowitz (ABL) two-state formalism, not a resolution of the measurement problem. Second, and more substantively, TID proposes that the recording quality of each environmental mode, its capacity to create a distinguishable, stable record of which system state obtained, enters the routing weight as an independent physical parameter beyond what standard decoherence theory captures. I ground this in the ABL formalism, where recording capacity decomposes naturally into accessibility (forward overlap) and stability (backwardoverlap under time-reversal reinterpretation). I derive the capacity-weighted routing formula via a detector-grounded POVM formulation, connecting it to quantum channel distinguishability. Numerical simulations demonstrate that for a qubit symmetrically coupled to thermal and squeezed vacuum modes at matched mean photon number, TID predicts a branchingratio of 60.7 : 39.3 versus the standard prediction of 50 : 50 at squeezing parameter r = 1, with analytical-numerical agreement confirmed to an internal mathematical consistency of < 0.002%. The prediction is sharp, falsifiable, and accessible with current superconducting circuit technology. I identify the precise conditions under which TID deviations vanish (thermal equilibrium, Fock-basis routing) and where they are maximal (non-equilibrium states with anisotropic phase-space structure). I engage with the non-Markovian open-systems literature, the Keldysh formalism, and existing squeezed-reservoir experiments, and providea defense against the objection that the standard squeezed-reservoir M parameter already accounts for the predicted deviation. Throughout, I attempt to maintain a strict separation between what TID inherits from established formalism, what it redescribes, and what it genuinely adds.
We present a unified operational framework for the arrow of time grounded in irreversible information loss. While microscopic physical laws are time-reversal invariant, macroscopic irreversibility arises when systems overwrite metastable records. We show that recent reversible quantum-control experiments do not reverse time, but instead operate in regimes where no logically irreversible record is created. To formalize this, we introduce the **forgetting rate** (Ξcr), a coarse-grained rate defined on physically selected metastable record states (e.g., pointer states, memory registers, or macroscopic configurations). Unlike standard entropy production, which is expressed in terms of microscopic transition asymmetry, (Ξcr) captures the **rate of irreversible record overwriting**. In this formulation, entropy production obeys the lower boundS˙irr≥kBΞcr,consistent with Landauer's principle but expressed at the level of record dynamics. Within this framework, thermodynamic, quantum-measurement, psychological, and cosmological arrows emerge as substrate-dependent manifestations of Ξcr>0. Temporal asymmetry is therefore not a single global property, but a distributed feature of physical information-processing systems. The approach naturally explains the decoupling of arrows in composite systems and identifies experimentally accessible regimes where irreversibility can be locally suppressed. This work does not introduce a new microscopic law but provides a unifying, operational reformulation that connects information thermodynamics, decoherence theory, and memory dynamics through a single coarse-grained rate.
Preprint: This paper derives quantitative bounds on measurement windows for finite-capacity observers extracting information from decohering quantum systems, extending standard decoherence theory to realistic experimental constraints. Main Result: For Gaussian-Markovian decoherence with exponential information decay I(t) = I₀ exp(-2Γt), bounded-capacity observers lose access to system distinctions when mutual information drops below detection threshold ε, yielding measurement window: τ_c = (1/2Γ) log(α C_A / ε) where Γ is decoherence rate [s⁻¹], C_A is observer capacity [bits] defined via Shannon formula (bandwidth × log₂(SNR) × integration time), ε is detection threshold [bits], and α ~ 0.1-1 is a model-dependent constant from spectral decomposition of environmental information. This establishes logarithmic capacity-scaling: doubling detector quality extends measurement windows by only ~0.35/Γ seconds, implying diminishing returns from capacity improvements. Experimental Predictions: For state-of-the-art circuit QED (superconducting transmon qubits, T₁ = 100 μs, bandwidth Δf = 10 MHz, SNR = 10), the framework predicts τ_c ~ 4-10 μs. Varying bandwidth from 1-30 MHz (capacity C_A ∈ [3, 90] bits) produces measurable Δτ_c ≈ 1.7 μs variation (5-10% of coherence time). Five experimental tests discriminate capacity-scaling from standard decoherence: ∙ Tests 1-3: Verify logarithmic capacity-scaling, inverse rate-dependence, threshold-dependence ∙ Test 4: Multi-observer non-redundancy (at most one narrowband detector succeeds) ∙ Test 5: Capacity-dependent redundancy buildup (primary discriminating signature) Key Contributions: ∙ First quantitative analysis of Zurek's pre-objective phase under explicit finite-resource constraints ∙ Capacity-scaling law connecting Shannon information theory to quantum measurement dynamics ∙ Operational definitions ensuring falsifiability (capacity, threshold, mutual information defined via measurement protocols) ∙ Concrete numerical predictions for three platforms (circuit QED, spin qubits, optomechanics) with resource estimates ∙ Design principle: environmental shielding (linear benefit in τ_c) outperforms detector improvement (logarithmic benefit) when both options available Technical Approach: The bound follows from threshold-crossing analysis of exponential decay with capacity-limited initial information I₀ = α C_A, justified via spectral decomposition of environmental information under flat-spectrum approximation for narrowband observation. All parameters (Γ, C_A, ε) are operationally defined and independently measurable, avoiding circularity. Extensions to non-Markovian dynamics (memory kernels), scrambling systems (black holes, many-body chaos), and non-Gaussian noise (Lévy flights, 1/f noise) are discussed with conjectured scaling laws. Scope: The bound applies specifically to Gaussian-Markovian systems (harmonic oscillators, qubits in dispersive limit, weak continuous measurement with memoryless baths). Circuit QED provides optimal testbed due to tunable Purcell filters (bandwidth control), high coherence times (T₁ > 300 μs achieved), and multiplexed readout infrastructure (5+ independent detectors demonstrated). Validity requires α C_A > ε (initial information exceeds threshold); domain violations occur when capacity too small, threshold too high, or coupling too weak. Relation to Prior Work: Zurek's Quantum Darwinism (2003-2009) explains asymptotic objectivity emergence through environmental redundancy but assumes unbounded observers (C_A → ∞, t → ∞). This work analyzes the complementary finite-resource regime (C_A < ∞, t ~ τ_c), providing first capacity-parameterized bound on pre-objective phase duration. Framework is interpretation-neutral—compatible with Copenhagen, Many-Worlds, Bohmian mechanics, and relational quantum mechanics. Philosophical implications (process ontology, observer-dependent reality, impermanence) are explored but clearly separated from testable predictions. Methods: Open quantum systems theory, Shannon information theory, operational quantum measurement, circuit QED experimental physics, numerical prediction for realistic parameters. Content: Complete 90-page manuscript with axiomatic framework (§2), narrowband observation model (§3), main theorem with proof (§4), numerical predictions (§5), five experimental falsification tests (§6), detailed Quantum Darwinism comparison (§7), extensions and limitations (§8), interpretive options (§9), and honest assessment (§10). Includes 77 references and operational definitions for all information-theoretic quantities. Target Audience: Quantum foundations researchers, experimental quantum physicists (circuit QED, trapped ions, quantum dots), quantum information theorists, philosophers of physics interested in measurement and objectivity.
Abstract Standard quantum mechanics asks us to live with two laws of time. The first is the continuous, linear, unitary evolution of the Schrödinger equation. The second is the discontinuous, non-unitary reduction that appears when a measurement yields one result rather than many. We have learned to use this double description with remarkable success, yet the success of the practice does not remove the tension in the principle. This paper proposes a conditional framework, Record-Gated Martingale Collapse (R-MC), for a narrower and sharper question: how can a state that has branched through ordinary unitary interaction among a system, an apparatus, and an environment settle into a single recorded outcome without adding an external projection rule? The framework begins where ordinary dynamics leaves us: unitary branching and decoherence. It then adds three elements. First, a non-selective record gate opens the collapse mechanism only after inter-branch overlap has weakened and a sufficiently independent environmental record has accumulated. Second, the collapse rate is amplified by the effective number of independent recording channels, not by the raw number of environmental degrees of freedom. Third, an uncontrollable objective seed generates the stochastic path along which branch weights move. Under quantum non-demolition (QND) conditions these weights are bounded martingales that diffusively localize toward a single branch, and Born-rule weights follow from conservation of their mean rather than from a postulated projection. We separate this gradual convergence from the operational recording time, and we distinguish a safe external form, in which the gate depends on local environmental variables and the ensemble mean closes into a linear Lindblad equation, from a more ambitious internal form that requires operational locality of the gate and locality of the apparatus pointers. A distinctive prediction, record-threshold collapse delay, states that two environments with comparable decoherence may nevertheless yield different outcome times if they differ in their capacity for independent, amplifiable recording.
We derive a testable consequence of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation: the weighted sum of individual decoherence rates is bounded by a maximum determined by the system's energy scale and the quantum channel capacity of the system-environment coupling. We derive this bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system-environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
This record presents Execution-Based Quantum Theory of Measurement: A Thermodynamic Completion Framework, a theoretical framework addressing the unresolved question of how and when quantum possibilities become executed physical outcomes. Standard quantum mechanics accurately predicts probability distributions but does not specify the physical conditions under which a potential outcome becomes an irreversible fact. This work proposes a completion rule, not an interpretation, grounded in continuous time evolution, irreversible dissipation, and global informational consistency. The framework introduces: Execution as a time-extended, physical process distinct from decoherence A minimum irreversible energy dissipation condition required for outcome realization A measurable execution timescale (τₑₓₑc), distinct from decoherence time A Wait State regime where interference may be suppressed while execution remains incomplete Conditional, sequential extension of reality through successive executions, without invoking observer causation, instantaneous collapse, or parallel universes The theory preserves all established first principles, including unitary quantum dynamics prior to execution, thermodynamics, and a single continuous spacetime. Observers and measurements are treated as physical record-holders that arise after execution, not as causal agents. Four falsifiable experimental tests are proposed across independent platforms: Tunable dissipation in superconducting circuit QED Photonic which-path storage with dissipation gating Mesoscopic pointer systems with controlled environmental damping Matter-wave interferometry under adjustable thermal load Each experiment provides explicit scaling laws and failure criteria to test the separation between decoherence and execution. This framework is derived from, but does not redefine, the Resonance Trinity Law (RTL), which serves as the parent substrate-level principle. No experimental validation is claimed in this record; the purpose is to define a clear, testable theoretical structure and safeguard authorship prior to experimental investigation.
We derive testable consequences of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation. We formulate this bound in terms of three representation-invariant measures—the purity loss rate, the dissipative entropy production rate, and the Kossakowski eigenvalue sum—ensuring that all predictions are independent of the non-unique Lindblad decomposition. We derive the bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system–environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.