ACT’s core is an ontological completion of standard conditioned open-system dynamics and shares its ensemble predictions. This lecture follows one hypothesis — an optional universal mass channel — from proposal to exclusion, and asks what a theory learns when its own prediction is ruled out.
Part III: The Theory
"It doesn't matter how beautiful your theory is. If it disagrees with experiment, it's wrong."
— Richard Feynman
Most interpretations of quantum mechanics — Copenhagen, Many-Worlds, Pilot Wave — are empirically equivalent. They all predict the same outcomes. A century of argument with no way to settle it experimentally.
ACT isn't just an interpretation — it's a physical theory. It adds a real mechanism (anchoring) to quantum field theory. That mechanism makes specific, quantitative predictions that differ from standard QM, from CSL/GRW, and from every other interpretation.
ACT reproduces established decoherence phenomenology — these are consistency checks shared with standard open-system theory, not unique confirmations.
| Phenomenon | ACT Prediction | Status |
|---|---|---|
| Progressive decoherence | Exponential decay: ρ(t) ∝ e⁻ᴦᵗ | ✓ |
| Mass dependence | Environment-specific; any universal Γ ∝ M² is the optional T⁰⁰ channel, not established | → optional |
| Temperature scaling | Γ increases with T | ✓ |
| Pressure dependence | Γ ∝ ρ_gas | ✓ |
| Observable-specific rates | Γ_position > Γ_momentum | ✓ |
| Zero-T persistence | Vacuum fluctuations maintain decoherence | ✓ |
| Isotope mass effect | 15–20% for ¹²C vs ¹³C | → Proposed |
These are consistency checks with established decoherence physics — shared with standard theory, not unique ACT confirmations.
ACT does not rest on any claimed existing anomaly. We state the status honestly:
We are not aware of a confirmed, published anomaly of this kind. Careful reviews of large-molecule interferometry (e.g. Schlosshauer 2019) present established environmental decoherence, not an unexplained excess.
If any vacuum-limited residual decoherence were ever confirmed, ACT would interpret it as a mass-dependent anchoring contribution (effective β-ansatz), sourced from environmental gauge and phonon fields — mass sets scales; it supplies no bath.
Isotopes keep chemistry closely matched (same electrons, same bonding), with calculable isotope-dependent corrections to vibrational, blackbody, and collisional response while varying only nuclear mass. Any residual difference remaining after complete environmental and kinematic modeling would indicate an additional mass-dependent contribution.
"No anomaly is claimed yet — the isotope test is the decisive probe."
Isotope mass dependence in quantum coherence times — a test of the optional universal channel, not of ACT's core event ontology.
The anchoring vertex is the stress-energy coupling H = ∫T⁰⁰Φ_env: matter couples to the environment through its total mass-energy
The rate carries the squared coupling: Γ ∝ M² in total inertial mass — QCD field energy, nuclear binding, and Higgs-origin mass all count equally (equivalence-principle-protected for the gravitational variant; hypothesized universality for the postulated universal channel)
β = 2 is a conditional benchmark: conditional on a coherent long-wavelength T⁰⁰ coupling, the matrix element for any composite is its measured atomic mass, giving M² in the long-wavelength limit before form-factor and bath-spectrum corrections. The channel's existence, universality, strength, spatial kernel, and survival are hypothesized — bounded, and now largely excluded, by the constraint analysis below. Ordinary QBM does not by itself imply β = 2
Isotopologues have near-identical electronic chemistry but different mass — vibrational and rotational spectra, blackbody coupling, and collision dynamics do differ and must be modelled
Any residual coherence-time difference, after isotope-dependent environmental channels are modelled and subtracted, probes a mass-coupled mechanism
These are benchmark scaling laws, not fixed framework-wide numbers: the observable effect is apparatus-specific — it depends on which environmental channels are modelled and subtracted, and (for ACT) on the existence and strength of the optional T⁰⁰ channel. The percentages below are the leading scaling each model would give for a matched isotopologue pair if that channel dominates.
| Model channel | Mechanism | Leading scaling | Benchmark* |
|---|---|---|---|
| Standard decoherence | Chemistry determines coupling; isotopes near-identical | ≈1.00 | ≈0%* |
| Diósi-Penrose (gravitational) | Gravitational self-energy | ~1.04 | ~4%* |
| CSL / GRW | mass-proportional; modern mCSL reaches m² in the CoM regime | ~1.08–1.17 | ~8–17%* |
| ACT optional M² channel | Hypothesized universal T⁰⁰ channel: Γ ∝ M² (total inertial mass) | 1.174 | 17.4%* |
*Conditional on the stated channel dominating after full apparatus-specific modelling; ACT's core event ontology shares the standard ensemble result and makes no distinctive isotope prediction on its own. A multi-mass series with a length-scale test discriminates the surviving scalings.
The platform the hypothesis was aimed at — and the one whose published data closed it. Vienna-class molecular interferometry; no dedicated isotope program was ever scheduled.
Constraint analysis (June 2026): natural channels are excluded by accelerometry; the surviving swept-medium channel predicted Γ(10⁴ amu) ∈ [1.2, 3.8] s⁻¹ at its former ceiling, with Γ(C₆₀) ≲ 0.02 s⁻¹ nearly blind. Update (July 2026): the 170 kDa nanoparticle interference record (Pedalino et al., Nature 649, 866) excludes this window at the 1σ sensitivity estimate — the form-factor-corrected M²/v_b transfer bounds Γ(10⁴ amu) ≲ 0.07 s⁻¹ (0.03 at 1σ), ≥17× below the predicted floor for ξ ≳ 2 nm; the conservative budget excludes ξ ≳ 0.7 nm, leaving a sub-half-nm corner at the constituent-spacing scale (likelihood-level analysis pending); the remaining test is a differential fit on the published MUSCLE dataset. Four concurrent signatures: M² mass scaling, 1/v velocity scaling, orientation anisotropy, correlated envelope broadening.
The hypothesis was specified, exposed to data, and ruled out. That sequence — not the outcome — is what makes it science.
A universal mass-coupled decoherence channel, Γ = Γ0 + κMβ, with a β = 2 benchmark from a coherent long-wavelength stress-energy coupling. Distinctive because ordinary decoherence predicts no such universal quadratic term.
The program’s own no-go analysis (June 2026) showed that every relativistic thermal realization is already capped by LISA Pathfinder, LIGO and planetary-tracking force-noise bounds — undetectable at C60 scale. Only a non-relativistic swept-medium corner survived, at a stated theoretical cost.
The 170 kDa sodium-nanoparticle interference record (Pedalino et al., Nature 649, 866, 2026) transferred through the M²/vb law bounds Γ(104 amu) at least 17× below the predicted floor for correlation lengths ξ ≳ 2 nm, leaving only a sub-half-nanometre corner.
Bound-setting, not discovery: a likelihood-level reanalysis of the published MUSCLE dataset, and direct limits on residual mass-coupled dephasing. No dedicated experiment is scheduled, and none is needed for ACT’s core.
The core was never riding on this. Record formation, the instrument law and the Record Condition sit on established open-system physics and are untouched by the closure.
ACT is falsifiable. Every outcome teaches us something.
Near-zero residual. Constrains κ and may exclude a specified ACT range; consistent with standard decoherence. The measurement problem remains open, but we've ruled out an entire class of theories.
Approximately linear dependence. Disfavors ACT's β=2 benchmark; consistent with mass-linear collapse models.
Approximately quadratic dependence. Supports the ACT benchmark, but still requires comparison with modern mCSL and a distinct spatial-kernel / detector-channel signature. Mass-squared anchoring supported (the single-outcome postulate still stands). Standard QM and mass-linear CSL disfavored. The quantum-to-classical transition would be the anchoring transition.
The program's building blocks.
ACT is a specified research program. Its core rides on established open-system physics; its one distinctive empirical hypothesis was proposed, exposed, and excluded. Status of every claim: Claim Ledger.
ACT staked a prohibition, and the data collected on it.
Next: Lecture 11 — Ontology Recapitulates Mathematics