ACT's core is an ontological completion of standard conditioned open-system dynamics and shares its ensemble predictions. The optional universal mass channel is the empirically distinctive part — and its natural discovery window is already excluded.
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 — not from the Higgs, which sets the coupling scale but is not the 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.
Candidate platform: Vienna-class molecular interferometry — large-mass capability demonstrated; an isotope program is proposed, not 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.
All required technologies exist. No new inventions needed.
Constraint structure completed (no-go theorem + surviving corner, June 2026). Heavy-species selection (10³–10⁴ amu), velocity-selection protocol, C₆₀ null-control design. Engagement with matter-wave groups to be sought.
Proposed heavy-molecule differential measurement (mass pairs and velocity scan) on a Vienna-class interferometer, C₆₀ interleaved as low-signal control; independent platforms for cross-checks. No experiments are currently scheduled.
Temperature variation (4K, 77K, 300K). Environmental density studies. Multi-isotope cross-checks.
Larger molecules, higher masses. Precision m² vs m scaling tests. Full discrimination between ACT, CSL, Diósi-Penrose.
These tests now set constraints on the optional mass channel rather than promising discovery — the natural window has been closed by the 170 kDa nanoparticle result.
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, falsifiable research program.
ACT explains — and predicts.
Next: Lecture 11 — Ontology Recapitulates Mathematics