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A Capacity-Calibrated Protocol for Testing Penrose Objective Reduction

Aernoud Dekker

Published Jan 1, 2025• 0 citations
Publisher

Abstract

This document specifies a single prospective experiment: a mesoscopic visibility-loss test that discriminates Penrose objective reduction (OR) from standard physics, in the regime where OR's mass-geometry timescale and the framework's finite-rate basis-tracking timescale fall in the same window. Penrose OR assigns an unrecoverable, mass-geometry-dependent loss; the basis-reference channel of Bandwidth-Limited Quantum Control (BLQC) produces a capacity-dependent but recoverable loss, κ = h_KS − C_eff ln 2 — reference-frame physics within standard quantum mechanics, not a rival prediction. The design's distinctive feature is that the reference channel is calibrated and frozen in advance, and that recoverability (from a passive shadow log) classifies each contrast loss as observer-relative reference bookkeeping (recoverable, R_rec ≈ 1) or collapse-type (unrecoverable, R_rec ≈ 0, mass-geometry-tracking, persistent at maximal tracking capacity). Because the reference physics is measured rather than estimated, it becomes the experiment's calibration arm — the subtrahend — rather than a nuisance background. The core question is then sharp: at fixed thermal, readout, pulse, latency, and plant conditions, is there a κ-independent, unrecoverable visibility floor that follows mass geometry? A positive result is evidence for Penrose OR; a null becomes a quantitative bound on OR rather than an inconclusive absence. The discrimination is of OR against standard physics, not of the framework against quantum mechanics — the framework predicts no floor of its own and cannot win the test, only make it decidable. The protocol defines the platform, control variables, confound controls, statistical tests, and decision rules. Companion documents: IOF framework parent at osf.io/fcdsn, BLQC technical core at osf.io/g5wrh, retrospective forensic data at osf.io/m5tb9.

DOI
10.17605/osf.io/2qjne

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This document specifies a single prospective experiment: a mesoscopic visibility-loss test that discriminates Penrose objective reduction (OR) from standard physics, in the regime where OR's mass-geometry timescale and the framework's finite-rate basis-tracking timescale fall in the same window. Penrose OR assigns an unrecoverable, mass-geometry-dependent loss; the basis-reference channel of Bandwidth-Limited Quantum Control (BLQC) produces a capacity-dependent but recoverable loss, κ = h_KS − C_eff ln 2 — reference-frame physics within standard quantum mechanics, not a rival prediction. The design's distinctive feature is that the reference channel is calibrated and frozen in advance, and that recoverability (from a passive shadow log) classifies each contrast loss as observer-relative reference bookkeeping (recoverable, R_rec ≈ 1) or collapse-type (unrecoverable, R_rec ≈ 0, mass-geometry-tracking, persistent at maximal tracking capacity). Because the reference physics is measured rather than estimated, it becomes the experiment's calibration arm — the subtrahend — rather than a nuisance background. The core question is then sharp: at fixed thermal, readout, pulse, latency, and plant conditions, is there a κ-independent, unrecoverable visibility floor that follows mass geometry? A positive result is evidence for Penrose OR; a null becomes a quantitative bound on OR rather than an inconclusive absence. The discrimination is of OR against standard physics, not of the framework against quantum mechanics — the framework predicts no floor of its own and cannot win the test, only make it decidable. The protocol defines the platform, control variables, confound controls, statistical tests, and decision rules. Companion documents: IOF framework parent at osf.io/fcdsn, BLQC technical core at osf.io/g5wrh, retrospective forensic data at osf.io/m5tb9.
Bandwidth-Limited Quantum Control (BLQC) is the operational tier of the Ignorant Observer Framework (IOF): a finite-rate phase-reference control law and its benchmark. The object of study is not a modification of the Schrödinger equation, a derivation of the Born rule, or a solution to Bell's theorem. It is a narrower control question: if the phase or basis reference θ(t) is maintained by a finite-rate tracking loop, does the observer-relative loss of online visibility scale with the deficit between the reference dynamics and the tracking channel? In a minimal phase-reference model, an unstable reference mode with instability rate h_KS tracked through an effective channel of rate C_eff predicts V(t) = exp[−(1/2) σ₀² e^(2κt)], with κ = h_KS − C_eff ln 2. The primary observable is the breakdown time t_break ∝ 1/(h_KS − C_eff ln 2) under deliberate throttling of the effective basis-tracking channel. Crucially this is reference-frame physics within standard quantum mechanics: standard quantum mechanics plus the classical Data-Rate Theorem already predict it, and the lost contrast is recoverable once the missing reference information is supplied. The benchmark is therefore expected — it calibrates the reference channel rather than discriminating IOF from quantum mechanics. A residual, capacity-scaled loss below the shadow-log prediction would be the one reading that is new physics; it is excluded by existing recoverability experiments and survives only as a registered test for certified deterministic-chaotic reference dynamics, with the prior strongly against it. The mesoscopic regime is the scientific target because the same finite-rate timescale can overlap with Penrose objective-reduction timescales while depending on different knobs — tracking bandwidth rather than mass geometry. The calibrated reference channel and the recoverability classifier defined here are what the companion Experimental Protocol uses to discriminate Penrose objective reduction from standard physics. We specify the assumptions, operational estimators, calibration rules, and decision rules. Companion documents: framework parent at osf.io/fcdsn, experimental protocol at osf.io/2qjne, retrospective forensic analysis at osf.io/m5tb9.
The Ignorant Observer Framework (IOF) is a control-theoretic interpretation of quantum measurement. It treats the observer as a physical dynamical system with finite effective capacity C_eff and a nonzero internal instability rate h_KS, and the measurement basis as a physical reference variable the observer must keep tracking. The Data-Rate Theorem then sets a deficit rate κ = h_KS − C_eff ln 2, with two regimes. For κ < 0 (capacity-wins) the observer keeps its basis resolved and textbook fixed-basis quantum mechanics is operationally available. For κ > 0 (chaos-wins) standard quantum mechanics still holds, but the observer's reference frame is unresolved, so its raw, unconditioned records lose contrast by ordinary phase averaging, V_obs = V_std · exp(−σ²/2). Unitary dynamics are untouched and no physical collapse is postulated; apparent collapse is an observer-level loss of trackability, and the lost contrast returns when the missing reference information is supplied. Because the loss is recoverable, IOF is presented for what it is — an interpretation, not a rival theory — and it makes no empirical prediction beyond standard quantum mechanics. A stronger reading of the visibility law (a capacity-dependent, unrecoverable loss beyond standard decoherence) would have made IOF empirically distinct; that reading is stated precisely and is excluded by existing experiments (logged-setting Bell tests, randomized-measurement tomography, correlation spectroscopy). What remains has three layers kept in separate books: the interpretation; a conditional foundations result (the binary single-system Born weight reconstructed from finite-record Fisher–Rao geometry); and an operational control law. The control law's one live experimental use is to calibrate a discriminating test of Penrose objective reduction — a test of gravity-side collapse against standard physics, not of IOF against quantum mechanics.
Companion document to Bandwidth-Limited Quantum Control (BLQC) within the Ignorant Observer Framework (IOF). It states the conceptual claim that BLQC's experimental discriminator operationalizes: that the measurement basis is not an externally supplied free parameter but a physical variable with causal ancestry inside the same history as the measured system. The ontology is explicitly hosted: a no-collapse embedding (pilot-wave or Everett-type) supplies the Born weights and the standard quantum correlations, and IOF contributes only a single capacity-dependent visibility attenuation on top. The Born rule and Bell's theorem are not derived; the falsifiable handle is the BLQC capacity-instability scaling. The position on Bell is measurement dependence in the technical, non-conspiratorial sense defended by Palmer, distinguished from a completed deterministic theory of the 't Hooft type. Three standard objections are addressed in order: that the move merely relocates the mystery, that the predicted visibility loss is just correctable reference noise, and that the framework reduces measurement to control engineering. The paper relocates the Heisenberg cut from interpretive convention to an operational boundary set by the apparatus's finite basis-tracking budget, with the Landauer bound entering only as a thermodynamic ceiling, not as the operative rate. Part of the Ignorant Observer Framework (IOF): framework parent at osf.io/fcdsn, BLQC technical core at osf.io/g5wrh.
We present a model-agnostic screening protocol for detecting recovery transients compatible with Bandwidth-Limited Quantum Control (BLQC)-style dynamics. BLQC, the finite-rate basis-tracking module of the Ignorant Observer Framework (IOF), motivates double-exponential visibility decay V(t) = exp(−(1/2) σ₀² e^(2κt)), which linearises as ln(−ln V) ∝ t. The protocol tests this against the power-law alternative ln(−ln V) ∝ ln t using a dual R² statistic. We apply the protocol to three precision-instrument platforms: Chinese 63-qubit processor cosmic-ray events, Google Sycamore qubit cosmic-ray recovery, and LIGO gravitational-wave detector glitches. The qubit platforms show power-law dominance (mean ΔR² = −0.21 for Chinese, −0.12 for Google; essentially no joint Gompertz-consistent population). On LIGO, a naive dual-R² comparison gives 88% of well-fit (R²_t ≥ 0.90) events preferring t-linear, but this figure is inflated by conditioning on the t-fit — under a selection-symmetric gate it falls to ≈50.7%. The load-bearing results are therefore the cross-platform asymmetry, which survives the symmetric gate (≈50.7% LIGO vs ≈0.4% Chinese), and the gate-free AICc model competition, which favours Gompertz in ≈56% of LIGO events (versus ≲5% on the qubit platforms) with internal rate-consistency c/2κ ≈ 0.91. A public H1 AUX_CLN cross-check finds no corrected-significant BLQC-positive vs. BLQC-negative label separation in available auxiliary channels; a controller-regime reanalysis finds that LIGO's fitted κ has a strong raw association with ASC recovery-stress ranks (Spearman ρ = 0.123, BH q ≈ 5.2 × 10⁻⁶), absorbed by morphology controls. This is a retrospective screening exercise and does not establish causal attribution to BLQC. Causal attribution requires the prospective controlled-capacity experiment specified in the BLQC paper — varying calibrated useful C_eff while holding ordinary thermal, readout, plant, timing, and alignment confounds fixed. Part of the Ignorant Observer Framework (IOF): framework parent at osf.io/fcdsn, BLQC technical core at osf.io/g5wrh, experimental protocol at osf.io/2qjne. Reproducibility: the analysis code, computed outputs, and figures are bundled on this node as Forensic_Signatures_reproducibility.zip (scripts/, output/, figures/). The bulky raw inputs are not redistributed here — the public LIGO H1 O3a AUX_CLN data is fetched from GWOSC by the pipeline, while the primary qubit and strain inputs load from a local 'FS Data' archive (set via the FORENSIC_DATA_DIR environment variable).
A conditional derivation of the binary Born probability form p(θ) = cos²(θ/2) in the physical basis coordinate θ of a Bandwidth-Limited Quantum Control (BLQC) experiment, within the Ignorant Observer Framework (IOF). The derivation rests on two load-bearing bridge assumptions: that BLQC effective tracking capacity C_eff is capacity for preserving operational distinguishability of finite observer records (the Fisher capacity bridge), and that the scalar BLQC threshold κ = h_KS − C_eff ln 2 is homogeneous in the physical basis coordinate (scalar-threshold homogeneity). Under the Fisher capacity bridge plus standard finite-resolution invariance, Cencov's theorem selects Fisher–Rao as the unique distinguishability metric on observer records; the binary record then carries the Fisher-arclength identity p(s) = cos²(s/2) by elementary geometry. Scalar-threshold homogeneity forces equal increments of θ to carry equal Fisher cost, so the Fisher arclength coordinate is affine in the physical basis coordinate; endpoint calibrations p(0) = 1 and p(π) = 0 then fix p(θ) = cos²(θ/2). The result is conditional on both bridge assumptions. Neither the bridge nor the full Hilbert-space formalism of quantum mechanics is derived here. The paper supersedes an earlier conditional derivation that obtained the binary Born form only in Fisher arclength and deferred the identification of that arclength with the laboratory basis angle; the BLQC bridge here is that deferred step, folded back into the original derivation as a single coherent argument. Part of the Ignorant Observer Framework (IOF): framework parent at osf.io/fcdsn, BLQC technical core at osf.io/g5wrh.
This manuscript presents a methods-forward, operational protocol for evaluating whether any structured dependence remains in quantum-computing measurement records after explicit modeling of standard quantum and device-level mechanisms. Classical definiteness is defined at the record layer, and pre-record states are treated as predictive descriptions rather than as classical outcome facts. Within this operational stance, the protocol converts questions about outcome status and record formation into a falsifiable test program grounded in preregistered analysis rules and standard measurement telemetry. A locked null-model family is specified in advance, incorporating standard quantum dynamics together with documented device-level mechanisms including drift, correlated and non-Markovian noise, crosstalk proxies, and leakage indicators. The framework provides operational definitions, a conservative postulate set, preregistered endpoints, residual-adjudication criteria, negative controls, a fixed windowing discipline, and a bound-first reporting standard designed to yield informative constraints under null results. Any candidate contribution beyond the declared null family must appear as structured, reproducible residual dependence that survives the locked null family and the full residual-filter sequence. Version 4.4 refines the protocol specification, clarifies evidentiary boundaries, and strengthens the integration of the synthetic demonstration. The manuscript includes a fully specified classical simulation that executes the decision pipeline under controlled conditions. The synthetic study illustrates how the protocol classifies a bounded-null case, a measured-artifact case, a partial-artifact/unresolved-covariate case, an injected structured-residual case, and a failed-topology case. This demonstration establishes computational executability of the protocol and clarifies the behavior of the decision tree, but it does not constitute empirical evidence for any physical mechanism. Because the protocol relies only on standard measurement telemetry and preregistered analysis rules, it is directly implementable across contemporary quantum-computing platforms and does not depend on any single dataset, backend, or hardware realization. The manuscript is a specification paper: it defines a reproducible evidentiary framework for record-level claims, while large-scale empirical implementation, hardware benchmarking, and cross-platform replication remain subsequent studies.