Minimal Dodecahedron Linear String Field Hypothesis (DLSFH): Structural Forcing, Algebraic Rigidity, and Effective Realization

Minimal Dodecahedron Linear String Field Hypothesis (DLSFH): Structural Forcing, Algebraic Rigidity, and Effective Realization | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 23 February 2026 V1 Latest version Share on Minimal Dodecahedron Linear String Field Hypothesis (DLSFH): Structural Forcing, Algebraic Rigidity, and Effective Realization Author : Antonios Valamontes 0009-0008-5616-7746 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177188149.90392060/v1 168 views 67 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper consolidates the structural development of the Dodecahedron Linear String Field Hypothesis (DLSFH) into a minimal and internally complete framework. The admissible internal operator class is defined as the finite-dimensional A 5-equivariant self-adjoint algebra End A5 (H V). An invariant quartic variational functional selects a nontrivial stationary operator O V = µP, where P is a central projector onto a maximal isotypic component. The stationary solution is determined up to overall sign and, when the maximal rank is unique, is unique up to overall scale. The nonzero spectral magnitude exhibits rigidity, with eigenvalues fixed by the algebraic relation µ 2 = −α/(2β). The internal algebra generated by O V is shown to be two-dimensional, A int = span{Id, O V }, and closed under multiplication. Equivariance, algebra closure, and compatibility with the lifted Dirac structure jointly imply a classified coupling form C = A 0 ⊗ Id + A 1 ⊗ O V, eliminating independent portal freedom. Within the declared perturbative regime and at one-loop order, radiative corrections generate only polynomial functions of O V, which collapse back into A int. The internal operator direction and its admissible coupling structure are therefore radiatively stable within the minimal framework. An explicit internal reduction yields the low-energy effective external theory, whose interaction coefficients are determined solely by the spectral scale µ and projector rank. Parameter transparency, gravitational compatibility scope, and falsifiability conditions are stated explicitly. The resulting structure is algebraically constrained rather than phenomenologically arranged, completing the minimal DLSFH architecture. Supplementary Material File (paper_87_10f_minimal_dodecahedron_linear_string_field_hypothesis__dlsfh__v1_0_5.pdf) Download 286.29 KB Information & Authors Information Version history V1 Version 1 23 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords a 5equivariant operator algebra alternating group a 5 coupling admissibility dirac lifting dodecahedron linear string field hypothesis (dlsfh) effective field theory reduction radiative stability (one loop) renormalization closure spectral rigidity variational stationarity Authors Affiliations Antonios Valamontes 0009-0008-5616-7746 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 168 views 67 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Antonios Valamontes. Minimal Dodecahedron Linear String Field Hypothesis (DLSFH): Structural Forcing, Algebraic Rigidity, and Effective Realization. Authorea . 23 February 2026. DOI: https://doi.org/10.22541/au.177188149.90392060/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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