Topological Modulation of Transient Dimensional Inflation in Energy-Coupled Chemical Oscillators
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2026
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| _version_ | 1866901607405322240 |
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| author | Merrill, Christopher K. |
| author_facet | Merrill, Christopher K. |
| contents | <p>Papers 1–4 in this series established that timescale separation between fast oscillatory cores and a slow shared energy reservoir transiently inflates the correlation dimension D2 beyond the limit-cycle floor, and that evolutionary selection can prolong this exploratory phase. Paper 4 showed that expanding the mutable parameter space from one to three dimensions accelerated neutral decay of transient retention, raising the question: can reaction-network topology buffer this fragility? <br><br>Here we test this directly. We augment the enzyme-complex coupled Brusselator with five designed motifs and 20 random-wiring controls, all coupled through the shared energy pool via a standardized embedding protocol. A ridge-width screen (N = 1,800 parameter samples per topology, 14,400 total) reveals that all designed motifs suppress transient dimensionality relative to the unaugmented baseline (Rw = 0.04–0.09 vs. 0.37; Mann–Whitney p < 10^−97). The 20 random wirings split bimodally: 8 are completely dead (Rw = 0), while the surviving 12 have Rw = 0.02–0.40, with two exceeding the baseline.</p> <p>A drift-sensitivity test across seven perturbation magnitudes (σd = 0–0.5, 1,202 evaluations per topology) finds that all topologies degrade at the same rate (∼42% Rw loss at σd = 0.5), indicating that topology controls the size of the viable parameter region but not its sensitivity to drift. The alive/dead split among random wirings is predicted by a single graph- theoretic feature: whether the motif species catalyzing E →Ew is a net concentration accumulator in the motif subgraph (Fisher’s exact p= 0.0007; 0/12 alive vs. 6/8 dead wirings are accumulators). This structural predictor also explains why all designed motifs fail: the embedding protocol routes energy coupling through a cycle endpoint that necessarily accumulates concentration.</p> <p>We conclude that network augmentation generically destroys transient complexity via energy drain, and that the rare wirings preserving it satisfy a simple structural constraint: the energy-coupling point must disperse rather than accumulate mass flow.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19158213 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topological Modulation of Transient Dimensional Inflation in Energy-Coupled Chemical Oscillators Merrill, Christopher K. prebiotic chemistry Brusselator correlation dimension autocatalysis Dynamical systems reaction network topology astrobiology transient chaos chemical oscillators <p>Papers 1–4 in this series established that timescale separation between fast oscillatory cores and a slow shared energy reservoir transiently inflates the correlation dimension D2 beyond the limit-cycle floor, and that evolutionary selection can prolong this exploratory phase. Paper 4 showed that expanding the mutable parameter space from one to three dimensions accelerated neutral decay of transient retention, raising the question: can reaction-network topology buffer this fragility? <br><br>Here we test this directly. We augment the enzyme-complex coupled Brusselator with five designed motifs and 20 random-wiring controls, all coupled through the shared energy pool via a standardized embedding protocol. A ridge-width screen (N = 1,800 parameter samples per topology, 14,400 total) reveals that all designed motifs suppress transient dimensionality relative to the unaugmented baseline (Rw = 0.04–0.09 vs. 0.37; Mann–Whitney p < 10^−97). The 20 random wirings split bimodally: 8 are completely dead (Rw = 0), while the surviving 12 have Rw = 0.02–0.40, with two exceeding the baseline.</p> <p>A drift-sensitivity test across seven perturbation magnitudes (σd = 0–0.5, 1,202 evaluations per topology) finds that all topologies degrade at the same rate (∼42% Rw loss at σd = 0.5), indicating that topology controls the size of the viable parameter region but not its sensitivity to drift. The alive/dead split among random wirings is predicted by a single graph- theoretic feature: whether the motif species catalyzing E →Ew is a net concentration accumulator in the motif subgraph (Fisher’s exact p= 0.0007; 0/12 alive vs. 6/8 dead wirings are accumulators). This structural predictor also explains why all designed motifs fail: the embedding protocol routes energy coupling through a cycle endpoint that necessarily accumulates concentration.</p> <p>We conclude that network augmentation generically destroys transient complexity via energy drain, and that the rare wirings preserving it satisfy a simple structural constraint: the energy-coupling point must disperse rather than accumulate mass flow.</p> |
| title | Topological Modulation of Transient Dimensional Inflation in Energy-Coupled Chemical Oscillators |
| topic | prebiotic chemistry Brusselator correlation dimension autocatalysis Dynamical systems reaction network topology astrobiology transient chaos chemical oscillators |
| url | https://doi.org/10.5281/zenodo.19158213 |