Unified Brief Report: Non-commutative Order and Phase Interference in Interacting Latent-Order Fields (ILOF)
Fuente:
Zenodo
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Recurso digital |
| Lenguaje: | inglés |
| Publicado: |
Zenodo
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866902147774283776 |
|---|---|
| author | Hathway, John |
| author_facet | Hathway, John |
| contents | <p>This brief report presents a unified computational analysis of the Interacting Latent-Order Field (ILOF) framework, linking two manifestations of informational phase coupling:<br>(i) the non-commutativity observed in task order (A→B vs. B→A), and<br>(ii) the periodic interference patterns emerging during curriculum mixing over the ratio α∈[0,1].</p> <p>Across ten independent seeds, the proxy angle between representations trained in opposite task orders converged near orthogonality (Λ_AB ≈ 88.4° ± 3.6°), indicating a small but reproducible phase offset ΔΦ between the two learning paths.<br>Furthermore, the symmetrized metric Δ_sym(α)=⟨θ(α)⟩ exhibits a consistent oscillatory component, confirmed by multiple independent analyses (FFT, Lomb–Scargle, cosine regression, and regression-based pseudo-periodogram).</p> <p>These findings suggest that the same informational phase mechanism governs both order asymmetry and continuous interference phenomena in latent representation space.<br>The dataset, analysis scripts, and reproducibility notes are included in the attached files.</p> <p><em>Author’s note: Minor translation and figure layout assistance were provided by AI-based tools under the author’s supervision.</em></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17362641 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unified Brief Report: Non-commutative Order and Phase Interference in Interacting Latent-Order Fields (ILOF) Hathway, John interacting Latent Order Fields non-commutativity phase interference latent space curriculum learning information phase ILOF AI foundations <p>This brief report presents a unified computational analysis of the Interacting Latent-Order Field (ILOF) framework, linking two manifestations of informational phase coupling:<br>(i) the non-commutativity observed in task order (A→B vs. B→A), and<br>(ii) the periodic interference patterns emerging during curriculum mixing over the ratio α∈[0,1].</p> <p>Across ten independent seeds, the proxy angle between representations trained in opposite task orders converged near orthogonality (Λ_AB ≈ 88.4° ± 3.6°), indicating a small but reproducible phase offset ΔΦ between the two learning paths.<br>Furthermore, the symmetrized metric Δ_sym(α)=⟨θ(α)⟩ exhibits a consistent oscillatory component, confirmed by multiple independent analyses (FFT, Lomb–Scargle, cosine regression, and regression-based pseudo-periodogram).</p> <p>These findings suggest that the same informational phase mechanism governs both order asymmetry and continuous interference phenomena in latent representation space.<br>The dataset, analysis scripts, and reproducibility notes are included in the attached files.</p> <p><em>Author’s note: Minor translation and figure layout assistance were provided by AI-based tools under the author’s supervision.</em></p> |
| title | Unified Brief Report: Non-commutative Order and Phase Interference in Interacting Latent-Order Fields (ILOF) |
| topic | interacting Latent Order Fields non-commutativity phase interference latent space curriculum learning information phase ILOF AI foundations |
| url | https://doi.org/10.5281/zenodo.17362641 |