Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.20018061 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866902191950790656 |
|---|---|
| author | Muresan, Romeo Alexandru |
| author_facet | Muresan, Romeo Alexandru |
| contents | <p>This paper investigates the hypothesis that discrete spectral states emerge from nonlinear<br>constraints in classical fields. We identify a mechanism of natural linearization occurring between<br>the nodal points of the state Wronskian (W1). As a case study, using 12-bit acquisition data from<br>an 88 kHz Colpitts oscillator, we apply Sparse Identification of Nonlinear Dynamics (SINDy [4])<br>to reconstruct the governing 3rd-order Jerk equations. The results, validated via a Shockley<br>model ρ = 0.978, reveal a latent spectrum of the first 10 eigenvalues. We propose that these<br>discrete states provide the structural framework for emergent quantization as a consequence of<br>nonlinear flow fracturing, verifiable through the excitation of a congruent linear resonator.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20018061 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Natural Linearization: A Sturm-Liouville Extension for Emergent Quantization in Nonlinear Flows Muresan, Romeo Alexandru Natural Linearization, Flow Fracturing, Emergent Quantization, SINDy, Room-Temperature Quantum Computing, Wronskian Nodes, Colpitts Oscillator, Shockley Model Wronskian, Nonlinear Dynamics Open Data, Reproducible Research <p>This paper investigates the hypothesis that discrete spectral states emerge from nonlinear<br>constraints in classical fields. We identify a mechanism of natural linearization occurring between<br>the nodal points of the state Wronskian (W1). As a case study, using 12-bit acquisition data from<br>an 88 kHz Colpitts oscillator, we apply Sparse Identification of Nonlinear Dynamics (SINDy [4])<br>to reconstruct the governing 3rd-order Jerk equations. The results, validated via a Shockley<br>model ρ = 0.978, reveal a latent spectrum of the first 10 eigenvalues. We propose that these<br>discrete states provide the structural framework for emergent quantization as a consequence of<br>nonlinear flow fracturing, verifiable through the excitation of a congruent linear resonator.</p> |
| title | Natural Linearization: A Sturm-Liouville Extension for Emergent Quantization in Nonlinear Flows |
| topic | Natural Linearization, Flow Fracturing, Emergent Quantization, SINDy, Room-Temperature Quantum Computing, Wronskian Nodes, Colpitts Oscillator, Shockley Model Wronskian, Nonlinear Dynamics Open Data, Reproducible Research |
| url | https://doi.org/10.5281/zenodo.20018061 |