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Subject and Mother at the ψₘₘ Layer: A Symbolic Framework via Alpay Algebra

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Τίτλος: Subject and Mother at the ψₘₘ Layer: A Symbolic Framework via Alpay Algebra
Συγγραφείς: Alpay, Faruk
Στοιχεία εκδότη: Zenodo
Έτος έκδοσης: 2025
Συλλογή: Zenodo
Θεματικοί όροι: Alpay Algebra, Symbolic Subject Formation, ψₘₘ Layer, Continental Psychoanalysis, Topology of the Subject, Structural Recursion, Mother Function in Ontology, Transfinite Identity Dynamics, Lacanian Formalism, Recursive Language Structures
Περιγραφή: This paper introduces a formal mathematical model of subject formation via early maternal interaction, applying “Alpay Algebra” to structure the psychoanalytic dynamics of the mother-child relationship. Drawing on Winnicott’s maternal mirror and Lacan’s primordial unity, the model encodes symbolic traces of care and absence as recursive identity operations. Each interaction is translated into algebraic form, constructing a ψₘₘ-layer, a symbolic domain in which subjectivity crystallizes through recursive maternal resonance. This framework bridges mathematical formalism with phenomenological insights, offering philosophers of language, psychoanalysis, and metaphysics a precise vocabulary for the ontology of the self.
Τύπος εγγράφου: report
Γλώσσα: English
Relation: https://zenodo.org/records/15711310; oai:zenodo.org:15711310; https://doi.org/10.5281/zenodo.15711310
DOI: 10.5281/zenodo.15711310
Διαθεσιμότητα: https://doi.org/10.5281/zenodo.15711310
https://zenodo.org/records/15711310
Rights: Creative Commons Attribution Non Commercial No Derivatives 4.0 International ; cc-by-nc-nd-4.0 ; https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
Αριθμός Καταχώρησης: edsbas.84605186
Βάση Δεδομένων: BASE
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  – Url: https://doi.org/10.5281/zenodo.15711310#
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  Data: Subject and Mother at the ψₘₘ Layer: A Symbolic Framework via Alpay Algebra
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  Data: 2025
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  Data: <searchLink fieldCode="DE" term="%22Alpay+Algebra%22">Alpay Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Symbolic+Subject+Formation%22">Symbolic Subject Formation</searchLink><br /><searchLink fieldCode="DE" term="%22ψₘₘ+Layer%22">ψₘₘ Layer</searchLink><br /><searchLink fieldCode="DE" term="%22Continental+Psychoanalysis%22">Continental Psychoanalysis</searchLink><br /><searchLink fieldCode="DE" term="%22Topology+of+the+Subject%22">Topology of the Subject</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+Recursion%22">Structural Recursion</searchLink><br /><searchLink fieldCode="DE" term="%22Mother+Function+in+Ontology%22">Mother Function in Ontology</searchLink><br /><searchLink fieldCode="DE" term="%22Transfinite+Identity+Dynamics%22">Transfinite Identity Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Lacanian+Formalism%22">Lacanian Formalism</searchLink><br /><searchLink fieldCode="DE" term="%22Recursive+Language+Structures%22">Recursive Language Structures</searchLink>
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  Data: This paper introduces a formal mathematical model of subject formation via early maternal interaction, applying “Alpay Algebra” to structure the psychoanalytic dynamics of the mother-child relationship. Drawing on Winnicott’s maternal mirror and Lacan’s primordial unity, the model encodes symbolic traces of care and absence as recursive identity operations. Each interaction is translated into algebraic form, constructing a ψₘₘ-layer, a symbolic domain in which subjectivity crystallizes through recursive maternal resonance. This framework bridges mathematical formalism with phenomenological insights, offering philosophers of language, psychoanalysis, and metaphysics a precise vocabulary for the ontology of the self.
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  Data: Creative Commons Attribution Non Commercial No Derivatives 4.0 International ; cc-by-nc-nd-4.0 ; https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
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        Value: 10.5281/zenodo.15711310
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      – Text: English
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      – SubjectFull: Alpay Algebra
        Type: general
      – SubjectFull: Symbolic Subject Formation
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      – SubjectFull: ψₘₘ Layer
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      – SubjectFull: Continental Psychoanalysis
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      – SubjectFull: Topology of the Subject
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      – SubjectFull: Structural Recursion
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      – SubjectFull: Mother Function in Ontology
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      – SubjectFull: Transfinite Identity Dynamics
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      – SubjectFull: Lacanian Formalism
        Type: general
      – SubjectFull: Recursive Language Structures
        Type: general
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      – TitleFull: Subject and Mother at the ψₘₘ Layer: A Symbolic Framework via Alpay Algebra
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              Y: 2025
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