Interference from Discrete Capacity-Constrained Dynamics
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2026
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| _version_ | 1866901747086131200 |
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| author | Asplind, Björn W. |
| author_facet | Asplind, Björn W. |
| contents | <p>We investigate whether interference-like behaviour can arise in a purely discrete system <br>governed by local, capacity-limited update rules. Within a minimal model consisting of<br>phase-driven emitters, deterministic routing, and finite-capacity detectors, we show that<br>phase-dependent suppression of detector counts emerges without invoking continuous wave<br>superposition.</p> <p><br>A single geometric control parameter, introduced through a position-dependent routing<br>function, modulates the structure of arrival coincidences at the detector. This allows a<br>continuous transition from uniform, globally distributed suppression to spatially localised<br>suppression with mixed-sign response across detector columns. The effect is quantified by<br>a global suppression ratio S(α), which increases monotonically as geometric modulation is<br>strengthened.</p> <p><br>These results demonstrate that interference-like patterns can be understood operationally<br>as phase-controlled competition under finite capacity, with geometry acting as a redistributor<br>of conflicts rather than a passive background. The model is intentionally minimal and serves<br>as a proof of principle within a broader discrete relational framework, here referred to as<br>Discrete Gravitational Ontology (DGO).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19135804 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Interference from Discrete Capacity-Constrained Dynamics Asplind, Björn W. Discrete dynamics Interference phenomena Capacity-limited dynamics Double-slit analogue Toy models Causal propagation Phase-dependent suppression Emergent behaviour Relational ontology <p>We investigate whether interference-like behaviour can arise in a purely discrete system <br>governed by local, capacity-limited update rules. Within a minimal model consisting of<br>phase-driven emitters, deterministic routing, and finite-capacity detectors, we show that<br>phase-dependent suppression of detector counts emerges without invoking continuous wave<br>superposition.</p> <p><br>A single geometric control parameter, introduced through a position-dependent routing<br>function, modulates the structure of arrival coincidences at the detector. This allows a<br>continuous transition from uniform, globally distributed suppression to spatially localised<br>suppression with mixed-sign response across detector columns. The effect is quantified by<br>a global suppression ratio S(α), which increases monotonically as geometric modulation is<br>strengthened.</p> <p><br>These results demonstrate that interference-like patterns can be understood operationally<br>as phase-controlled competition under finite capacity, with geometry acting as a redistributor<br>of conflicts rather than a passive background. The model is intentionally minimal and serves<br>as a proof of principle within a broader discrete relational framework, here referred to as<br>Discrete Gravitational Ontology (DGO).</p> |
| title | Interference from Discrete Capacity-Constrained Dynamics |
| topic | Discrete dynamics Interference phenomena Capacity-limited dynamics Double-slit analogue Toy models Causal propagation Phase-dependent suppression Emergent behaviour Relational ontology |
| url | https://doi.org/10.5281/zenodo.19135804 |