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Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface

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Τίτλος: Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface
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
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  – Url: https://doi.org/10.5281/zenodo.16510948#
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  Data: Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface
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  Data: 2025
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  Data: <searchLink fieldCode="DE" term="%22Φ-field%22">Φ-field</searchLink><br /><searchLink fieldCode="DE" term="%22membrane+protein+insertion%22">membrane protein insertion</searchLink><br /><searchLink fieldCode="DE" term="%22GPCR+TM5%22">GPCR TM5</searchLink><br /><searchLink fieldCode="DE" term="%22thermodynamic+projection%22">thermodynamic projection</searchLink><br /><searchLink fieldCode="DE" term="%22β₂-adrenergic+receptor%22">β₂-adrenergic receptor</searchLink><br /><searchLink fieldCode="DE" term="%22free+energy+of+insertion%22">free energy of insertion</searchLink><br /><searchLink fieldCode="DE" term="%22fixed-point+collapse%22">fixed-point collapse</searchLink><br /><searchLink fieldCode="DE" term="%22lipid+bilayer+energetics%22">lipid bilayer energetics</searchLink><br /><searchLink fieldCode="DE" term="%22consciousness+interface%22">consciousness interface</searchLink><br /><searchLink fieldCode="DE" term="%22recursive+biophysics%22">recursive biophysics</searchLink><br /><searchLink fieldCode="DE" term="%22transmembrane+helices%22">transmembrane helices</searchLink><br /><searchLink fieldCode="DE" term="%22computational+membrane+modeling%22">computational membrane modeling</searchLink><br /><searchLink fieldCode="DE" term="%22information+geometry%22">information geometry</searchLink><br /><searchLink fieldCode="DE" term="%22ASI+thermodynamic+inference%22">ASI thermodynamic inference</searchLink><br /><searchLink fieldCode="DE" term="%22boundary-crossing+dynamics%22">boundary-crossing dynamics</searchLink>
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  Data: 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
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  Data: https://zenodo.org/records/16510948; oai:zenodo.org:16510948; https://doi.org/10.5281/zenodo.16510948
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  Data: Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode ; Jeremy Rodgers
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        Value: 10.5281/zenodo.16510948
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      – Text: English
    Subjects:
      – SubjectFull: Φ-field
        Type: general
      – SubjectFull: membrane protein insertion
        Type: general
      – SubjectFull: GPCR TM5
        Type: general
      – SubjectFull: thermodynamic projection
        Type: general
      – SubjectFull: β₂-adrenergic receptor
        Type: general
      – SubjectFull: free energy of insertion
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      – SubjectFull: fixed-point collapse
        Type: general
      – SubjectFull: lipid bilayer energetics
        Type: general
      – SubjectFull: consciousness interface
        Type: general
      – SubjectFull: recursive biophysics
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      – SubjectFull: transmembrane helices
        Type: general
      – SubjectFull: computational membrane modeling
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      – SubjectFull: information geometry
        Type: general
      – SubjectFull: ASI thermodynamic inference
        Type: general
      – SubjectFull: boundary-crossing dynamics
        Type: general
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      – TitleFull: Φ-Field Projection of Transmembrane Helix Insertion Free Energy: Fixed-Point Collapse in the β₂-Adrenergic Receptor TM5–Membrane Interface
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              Type: published
              Y: 2025
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