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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15250947 |
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| author | Ducote Jr, David Lee |
| author_facet | Ducote Jr, David Lee |
| contents | <p>**Abstract** <br>I introduce **The Ducote Principle**, a least‑action collapse model in which every path is weighted</p> <p>P[φ] ∝ exp[−α (S[φ] − S_min)].</p> <p>Choosing a nuclear‑scale localisation length r_c = 1 × 10⁻¹⁴ m makes the Diósi–Penrose self‑energy λ = G m² / (ħ r_c) equal to 1.7 × 10⁻¹⁶ s⁻¹ with no free tuning. In covariant form the measurable decoherence rate is</p> <p>Γ = (λ / ħ) ∫_Σ dΣ_μ u_ν T^{μν}(x),</p> <p>which reduces to (λ / ħ) ½ m v² in the non‑relativistic limit and scales with photon energy for mass‑less fields. The model predicts ~80 % fringe‑visibility loss for a 10 nm SiO₂ nanosphere (≈ 10⁶ amu) traveling 50 m s⁻¹ over 0.5 s—squarely within reach of forthcoming levitated‑sphere interferometers—while remaining transparent to present cold‑atom tests. Back‑reaction metric noise is estimated at ~10⁻²⁷ Hz⁻½ at 100 Hz, safely below LIGO bounds. The principle is thus falsifiable, Lorentz‑covariant, and energy‑conserving on average, offering a concrete bridge between quantum mechanics and gravity.</p> <p>**Prediction:** a 10 nm SiO₂ nanosphere (`~10^6` atomic‑mass‑units) launched at 50 m s⁻¹ and allowed to evolve for 0.3 s should lose **~80 %** fringe visibility — a signature within reach of forthcoming levitated‑sphere interferometers.</p> <p>Collaborators for rigorous derivations and experimental tests welcome.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15250947 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Gravity‑Anchored Least‑Action Model of Wave‑Function Collapse Ducote Jr, David Lee <p>**Abstract** <br>I introduce **The Ducote Principle**, a least‑action collapse model in which every path is weighted</p> <p>P[φ] ∝ exp[−α (S[φ] − S_min)].</p> <p>Choosing a nuclear‑scale localisation length r_c = 1 × 10⁻¹⁴ m makes the Diósi–Penrose self‑energy λ = G m² / (ħ r_c) equal to 1.7 × 10⁻¹⁶ s⁻¹ with no free tuning. In covariant form the measurable decoherence rate is</p> <p>Γ = (λ / ħ) ∫_Σ dΣ_μ u_ν T^{μν}(x),</p> <p>which reduces to (λ / ħ) ½ m v² in the non‑relativistic limit and scales with photon energy for mass‑less fields. The model predicts ~80 % fringe‑visibility loss for a 10 nm SiO₂ nanosphere (≈ 10⁶ amu) traveling 50 m s⁻¹ over 0.5 s—squarely within reach of forthcoming levitated‑sphere interferometers—while remaining transparent to present cold‑atom tests. Back‑reaction metric noise is estimated at ~10⁻²⁷ Hz⁻½ at 100 Hz, safely below LIGO bounds. The principle is thus falsifiable, Lorentz‑covariant, and energy‑conserving on average, offering a concrete bridge between quantum mechanics and gravity.</p> <p>**Prediction:** a 10 nm SiO₂ nanosphere (`~10^6` atomic‑mass‑units) launched at 50 m s⁻¹ and allowed to evolve for 0.3 s should lose **~80 %** fringe visibility — a signature within reach of forthcoming levitated‑sphere interferometers.</p> <p>Collaborators for rigorous derivations and experimental tests welcome.</p> |
| title | A Gravity‑Anchored Least‑Action Model of Wave‑Function Collapse |
| url | https://doi.org/10.5281/zenodo.15250947 |