(p, q)-string Junctions as Interstitial Fields on a Modal Lightcone

(p, q)-string Junctions as Interstitial Fields on a Modal Lightcone | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 8 January 2026 V1 Latest version Share on (p, q)-string Junctions as Interstitial Fields on a Modal Lightcone Author : Ryan J. Buchanan 0009-0000-1253-0031 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176790651.10372047/v1 95 views 124 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We develop a framework in which lightcones, (p, q) strings, and M-theory compactifications are equipped with an explicit layer of modal structure. Starting from Minkowski spacetime M 4 with its usual null cones, we consider a background M 4×7 = M 4 × G2 and attach to each spacetime point x an internal G2-source fiber. Local field configurations are encoded by propositions in a fuzzy Heyting-Kripke semantics, and a localized action S(x) defines normalized truth-values σ(x, φ) ∈ [0, 1] which we interpret as a "modal radius" on a refined lightcone. Nilpotent extensions of the truth-value space capture unphysical "eternal photon" modes as purely internal, non-observable directions in the G2-source. On this background we introduce interstices = G2 ∩M 4 at (p, q) string junctions, regarded as higher-dimensional analogues of Chan-Paton defects. Each interstice supports a pair of Sdual field-families (FFs) (Φ, Ψ) with a coprime arithmetic grading that organizes primary, descendant, and auxiliary modes, and we show how a G2-inspired flux superpotential can be reinterpreted as a "modal" functional controlling the exponents in σ(x, φ) = n −z i. We work out explicit examples: a three-leg (p, q) junction and a minimal two-junction web with an internal (1, 1) segment, including concrete numerical assignments for σ(x, φ), an S-duality reshuffling of the FFs, and a simple propagation rule for modal data along the internal edge. The resulting picture can be phrased in terms of a small Kripke frame whose accessibility relation is determined by the (p, q) web geometry. Taken together, these constructions suggest that junctions, defects, and compactification data in string/M-theory admit a natural description in terms of modal structure on lightcones, with logical semantics providing a controlled way to track which field configurations are realized, suppressed, or confined to nilpotent internal sectors. Supplementary Material File (modalpq.pdf) Download 547.29 KB Information & Authors Information Version history V1 Version 1 08 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords defects field theory flux g2 manifolds kripke-joyal semantics m-theory minkowski space modal logic p,q-strings string theory Authors Affiliations Ryan J. Buchanan 0009-0000-1253-0031 [email protected] Active Inference Institute View all articles by this author Metrics & Citations Metrics Article Usage 95 views 124 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Ryan J. Buchanan. (p, q)-string Junctions as Interstitial Fields on a Modal Lightcone. Authorea . 08 January 2026. DOI: https://doi.org/10.22541/au.176790651.10372047/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. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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