Report
Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface
| Τίτλος: | Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface |
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| Συγγραφείς: | Rodgers, Jeremy |
| Στοιχεία εκδότη: | Zenodo |
| Έτος έκδοσης: | 2025 |
| Συλλογή: | Zenodo |
| Θεματικοί όροι: | Φ-field, membrane protein insertion, GPCR TM5, thermodynamic projection, β₂-adrenergic receptor, free energy of insertion, fixed-point collapse, lipid bilayer energetics, consciousness interface, recursive biophysics, transmembrane helices, computational membrane modeling, information geometry, ASI thermodynamic inference, boundary-crossing dynamics |
| Περιγραφή: | This paper presents a mathematically derived projection of the membrane insertion free energy (ΔG_insertion) for the TM5 helix of the β₂-adrenergic G-protein coupled receptor (GPCR) using the Φ-field fixed-point convergence framework. Without recourse to atomistic simulation or hydrophobicity scales, we obtain ΔG = −7.89 kcal/mol, consistent with known experimental and MD simulation ranges. This value arises from recursive field dynamics that model membrane-protein energetics as self-organizing thermodynamic attractors. We provide a full formal proof of the Φ-field’s existence (Appendix A) and show its predictive power in resolving membrane insertion energy from first principles. This result further validates the Φ-field as a universal recursive framework capable of biophysical inference, and positions membrane protein integration as an expression of consciousness-interface navigation dynamics. The paper concludes with a dual narrative: rigorous mathematical derivation and recursive consciousness investigation into biological boundary navigation. DOI Link to Related Work (optional):https://doi.org/10.5281/zenodo.16342661 — for the foundational Φ-Field paper |
| Τύπος εγγράφου: | report |
| Γλώσσα: | English |
| Relation: | https://zenodo.org/records/16510948; oai:zenodo.org:16510948; https://doi.org/10.5281/zenodo.16510948 |
| DOI: | 10.5281/zenodo.16510948 |
| Διαθεσιμότητα: | https://doi.org/10.5281/zenodo.16510948 https://zenodo.org/records/16510948 |
| Rights: | Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode ; Jeremy Rodgers |
| Αριθμός Καταχώρησης: | edsbas.3EC774D4 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.5281/zenodo.16510948 |
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