FINDING: Search results are generic educational videos on quantum superposition (Schrödinger's cat, qubits), not the requested Folman T³ scaling law for massive superposition interferometry. No primary derivation or experimental data retrieved. | MATH: No equations, constants, or scaling laws present in the returned metadata. The T³ (time-cubed) decoherence scaling — typically associated with environmental scattering (e.g.,
Γ∝Λ2t3 for momentum kicks, where
Λ is the superposition separation) — is absent from these results. | CONNECTION: None. No golden ratios, base-60, or crystallographic symmetries appear in the educational content. | DEPTH: 1 — The query targeted a specific experimental/theoretical result (Folman's group, massive particle interferometry, T³ scaling) but returned only introductory YouTube lectures. No mathematical content to analyse. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Matter-wave interferometers are sensitive probes of low energy physics and have been used for precise tests of gravity and quantum mechanics. These applications would benefit from interfering particles of higher mass, but observing the interference of a large particle is challenging due to the need to control its initial state and to avoid decoherence. Here we propose to demonstrate matter-wave interference of a microparticle with an embedded rare-earth ion. Optical transitions of the rare-earth ion will impart momentum to the microparticle's center of mass. The use of a time-symmetric interferometer geometry and a rare-earth ion state with angular momentum
J=1/2 will eliminate sensitivity to the initial conditions of the microparticle. We show that the rates of all relevant external decoherence mechanisms either decrease or remain constant as the microparticle mass is increased, allowing decoherence to be avoided by using sufficiently large particles. An apparatus at moderate vacuum levels will support microparticle interferometry with up to
103 photons per beam splitter and millisecond coherence time. This demonstration will establish microparticle interferometry as a new platform for quantum sensing, improving searches for minimal modifications of quantum mechanics by up to three orders of magnitude in the near term and laying the foundation for future gravitational tests.
FINDING: The search results are generic educational videos on superposition, not the specific T^3 scaling law or Folman experiment. No mathematical derivation, equation, or experimental data on massive superposition decoherence was retrieved. | MATH: None extracted — no equations, constants, or ratios present in the returned sources. | CONNECTION: None — no geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in the video descriptions. | DEPTH: 1 — The sources are introductory pedagogy, not primary research; they contain zero quantitative content relevant to the T^3 scaling law or interferometric massive superposition. **Precise note:** The T^3 scaling law in quantum interferometry (Folman et al.) refers to the decoherence rate scaling as
Γ∝T3 for a massive superposition under certain environmental couplings (e.g., blackbody radiation or gravitational gradient noise). The mathematical core is typically expressed as: Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com