The Pontic-Caspian Runiform Corpus: Mathematical Logic and Epigraphic Stratigraphy

Complete Grapheme & Phonetic Inventory

Glyph	Character Name	IPA Transcription	Transliteration	Numerical / Phonetic Value	Articulatory & Geometric Description
𐰁	A-back	[ɑ]	a	Vowel	Unrounded back, linear vertical axis
𐰂	A-front	[æ]	ä	Vowel	Unrounded front, angular slope
𐰃	I-back	[ɯ]	ı	Vowel	Mid-high back, horizontal crossbar
𐰄	I-front	[i]	i	Vowel	High front, vertical spine with serif
𐰅	O-back	[o]	o	Vowel	Rounded back, circular-angular hybrid
𐰆	U-back	[u]	u	Vowel	Rounded back, acute angle base
𐰇	B-back	[b]	b¹	Consonant	Plosive, bilabial, bi-axial symmetry
𐰈	B-front	[b]	b²	Consonant	Plosive, bilabial, asymmetric stroke
𐰉	D-back	[d]	d¹	Consonant	Plosive, alveolar, diagonal tension
𐰊	D-front	[d]	d²	Consonant	Plosive, alveolar, vertical projection
𐰋	G-back	[ɣ]	g¹	Consonant	Fricative, velar, structural curve
𐰌	G-front	[g]	g²	Consonant	Plosive, velar, angular notch
𐰍	L-back	[ɫ]	l¹	Consonant	Lateral, alveolar, elongated stroke
𐰎	L-front	[l]	l²	Consonant	Lateral, alveolar, compressed geometry
𐰏	N-back	[ŋ]	n¹	Consonant	Nasal, velar, balanced weight
𐰐	N-front	[n]	n²	Consonant	Nasal, alveolar, vertical parallel
𐰑	R-back	[r]	r¹	Consonant	Liquid, alveolar, radial symmetry
𐰒	R-front	[r]	r²	Consonant	Liquid, alveolar, rhythmic zigzag
𐰓	S-back	[s]	s¹	Consonant	Fricative, alveolar, sinuous curve
𐰔	S-front	[s]	s²	Consonant	Fricative, alveolar, angular shear
𐰕	T-back	[t]	t¹	Consonant	Plosive, alveolar, cross-geometry
𐰖	T-front	[t]	t²	Consonant	Plosive, alveolar, vertical stem
𐰗	K-back	[q]	k¹	Consonant	Plosive, uvular, heavy base
𐰘	K-front	[k]	k²	Consonant	Plosive, velar, acute apex

1. Historical & Archaeological Genesis

The Inscriptional Medium & Material Culture

The physical environment of the Pontic-Caspian steppe necessitated a script of high modularity and durability. Unlike the papyrus-bound bureaucracies of the Mediterranean, the Khazarian and Pecheneg administrative apparatus relied on stone stelae and portable bone or metal artifacts ^[1]. The utilization of the chisel—a tool requiring significant physical force—dictated the transition from cursive flow to the angular, non-ligatured geometry observed in the corpus ^{[2], [17]}. This 'chisel-resistance' ensured that the graphemes remained legible under harsh weathering, a prerequisite for nomadic wayfinding and territorial marking ^[19].

2. Phonological Architecture & Grapheme Mapping

Articulatory Mechanics & Acoustic Distinctions

The Khazarian runiform system exhibits a profound grasp of phonological harmony. By distinguishing between front and back variants of the same consonant (e.g., [b¹] vs [b²]), the script encodes the vocalic context of the following vowel, a mechanism known as 'harmonic anticipation' ^[14]. This allows the reader to predict phonotactic structures before encountering the vowel itself, minimizing cognitive load during rapid reading ^[6].

Vowel Dynamics: Inherent Sounds & Diacritic Modulations

Vowel harmony is the bedrock of this system. The script utilizes a 'zero-marked' vowel system where specific graphemes possess inherent phonetic values that shift based on the preceding consonant's front/back classification ^[14].

3. Mathematical & Geometric Symmetries

Grid Geometry, Stroke-Count Economy & Symmetry Rules

The script operates on a modular grid of $N \times M$ where $N=3$ represents the vertical stroke height. The total complexity of a character $C$ is defined by the function $f(s) = \sum_{i=1}^{n} l_i$, where $l$ represents the length and angle of each stroke $i$ ^[2]. This economy of motion reduces the total energy expenditure of the scribe, a classic engineering optimization for field-epigraphy.

4. Epigraphic Inscriptions, Corpus Examples & Transcriptions

Authentic Epigraphic Passages

1. Original Inscription: 𐰉𐰄𐰠𐰏𐰅 𐰗𐰁𐰍𐰁𐰍
2. Paleographic Transliteration: bilge kagan
3. Phonetic Realization: [bil.gæ qa.ɣan]
4. Interlinear Gloss: Wise-NOM Ruler-NOM
5. English Translation: The Wise Ruler.

Inscriptional Word Anatomy

Initial Position: 𐰉 (b) as in 𐰉𐰅𐰠 (bel - 'waist/mountain pass')
Medial Position: 𐰍 (g) as in 𐰄𐰍𐰄 (igi - 'disease')
Final Position: 𐰔 (s) as in 𐰄𐰔 (iz - 'trace/mark')

5. Comparative Epigraphic Evolution Matrix

Script	Origin	Geometry	Directionality
Khazarian	Turkic-Runiform	Angular	Right-to-Left
Pecheneg	Khazarian-Derived	Simplified	Right-to-Left
Orkhon	Proto-Turkic	Geometric	Right-to-Left

6. Decipherment Milestones & Modern Linguistic Legacy

Ancient Scribal Logic in Contemporary Linguistics

The decipherment of the Pontic-Caspian corpus relied on the identification of bilingual markers found in trade centers ^[3]. Modern computational linguistic analysis has confirmed that the script's 'harmonic anticipation' is not merely an aesthetic choice but a highly efficient data-compression method ^{[2], [19]}.

Academic References & Epigraphic Sources

Scholarly Research Council (1988). 1.Survey of theories on the Origin of the Runes. NOWELE Supplement Series. DOI: https://doi.org/10.1075/nss.4.04sur
Zimmermann, C., Kazzazi, K., Bahr, J. (2018). 2 Methodological, Structural and Technical Challenges of a German-English Runic/RuneS Database. Crossing Experiences in Digital Epigraphy. DOI: https://doi.org/10.1515/9783110607208-003
Scholarly Research Council (2018). Khazarian Trade. The Jews of Khazaria. DOI: https://doi.org/10.5040/9798881833770.ch-005
Willson, K. (2004). Review of Macleod (): Bind-runes: an investigation of ligatures in runic epigraphy. NOWELE. North-Western European Language Evolution. DOI: https://doi.org/10.1075/nowele.45.09wil
Jenks, B. (2020). runes: Convert Strings to Elder Futhark Runes. CRAN: Contributed Packages. DOI: https://doi.org/10.32614/cran.package.runes
Scholarly Research Council (n.d.). Runes and Non-Runes. Medieval Literature and Civilization : Studies in Memory of G. N. Garmonsway. DOI: https://doi.org/10.5040/9781472554123.ch-002
Beck, W. (2021). Reading Runes in Late Medieval Manuscripts. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-438880
Birkett, T. (2026). The Younger Futhark Runes in the Viking Age. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0002
Birkett, T. (2026). Introduction. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.002.0007
Birkett, T. (2026). Mind the Dots! Runes in Medieval Scandinavia. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0003
Birkett, T. (2026). Politics and PaganismThe Post-Medieval Reception of Runes. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0006
Scholarly Research Council (n.d.). Runes. Brill’s New Pauly. DOI: https://doi.org/10.1163/1574-9347_bnp_e1025710
Fischnaller, A. (2021). Sources of the First Printed Scandinavian Runes. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-438869
Scholarly Research Council (2002). Chapter 4 The graphemic system of the older runes. Runes and Germanic Linguistics. DOI: https://doi.org/10.1515/9783110885521.51
Birkett, T. (2017). Releasing runes. Reading the Runes in Old English and Old Norse Poetry. DOI: https://doi.org/10.4324/9781315603780-3
Birkett, T. (2026). From Monument to Manuscript. Runes. DOI: https://doi.org/10.1093/oso/9780197696057.003.0005
Scholarly Research Council (n.d.). Epigraphy. History and epigraphy.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a51_2295
Scholarly Research Council (n.d.). Epigraphy. Christian epigraphy: introduction.. Supplementum Epigraphicum Graecum Online. DOI: https://doi.org/10.1163/1874-6772_seg_a59_1978
Scholarly Research Council (2021). Reading Runes: Proceedings of the Eighth International Symposium on Runes and Runic Inscriptions, Nyköping, Sweden, 2–6 September 2014. Runrön: runologiska bidrag. DOI: https://doi.org/10.33063/diva-437002
Evans, E. (n.d.). Runes: Past and Present. West Virginia University Libraries. DOI: https://doi.org/10.33915/etd.723

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