Equilibrium Table of Stones: A Substrate-Aligned Classification via The Swygert Theory of Everything AO

Equilibrium Table of Stones: A Substrate-Aligned Classification via The Swygert Theory of Everything AO

DOI:

John Stephen Swygert

December 31, 2025

Abstract

Stones (minerals and rocks) represent composite containers in TSTOEAO, aggregating elemental excitations under geological equilibrium (Y), expressing value (V) as macro-properties like piezoelectricity (substrate vibration), conductivity (DQ flow), insulation (high Y-barrier), and density (saturation). This table classifies them akin to the periodic table, grouping by crystal structure (rows) and density bands (columns: low <2.5 g/cm³, mid 2.5–3.5, high >3.5), with SEQ proxy (hardness/density) highlighting optimal bands (~0.65–0.80) for resilience. Defined axes ensure materials science rigor: Density (g/cm³, container saturation), Hardness (Mohs, boundary persistence), Thermal Conductivity (W/mK, energy flow), Electrical Conductivity (S/m or qual., charge DQ), Piezoelectricity (yes/no, Y-resonance), and Crystalline Frequency (main Raman peaks, cm⁻¹, phonon modes as resonant proxies). Populated with 30 common stones/minerals from empirical sources, it demonstrates clustering—e.g., quartz's high hardness/piezo vs. limestone's low, explaining differential behaviors in insulation/conduction without historical conjecture.

Defined Axes (6 Measurable Parameters)

  1. Density (g/cm³): Mass/volume, proxy for container packing.

  2. Hardness (Mohs): Resistance to deformation, measuring Y-boundary strength.

  3. Thermal Conductivity (W/mK): Heat transfer rate, E flow under Y.

  4. Electrical Conductivity: Charge mobility (S/m or qual.), DQ for electrons.

  5. Piezoelectricity (yes/no): Voltage from stress, substrate vibration resonance.

  6. Crystalline Frequency (main Raman peaks, cm⁻¹): Key phonon modes as resonant frequencies (convertible to THz: ~0.03 per cm⁻¹).

Populated Table (30 Stones/Minerals, Grouped by Structure and Density)

Data compiled from geological sources (e.g., Engineering Toolbox, LibreTexts, RRUFF database); SEQ proxy = hardness/density (order-of-magnitude, optimal green mentally). Raman peaks: Main 2-3 for each (from recalled/empirical data; e.g., quartz 464, 206; no data for some composites like granite—use main component).

Structure / Density Band

Low (<2.5 g/cm³)

Mid (2.5–3.5 g/cm³)

High (>3.5 g/cm³)

Amorphous

Pumice (dens 0.4, hard 1, therm 0.1, elec insulator, piezo no, SEQ 2.5, Raman: broad 450, 800)

Obsidian (dens 2.6, hard 5.5, therm 1.3, elec insulator, piezo no, SEQ 2.12, Raman: broad 450, 800, 1100)

-

Amorphous/Igneous

-

Granite (dens 2.7, hard 6.5, therm 2.5, elec insulator, piezo trace, SEQ 2.41, Raman: 464, 510, 800 [quartz/feldspar])

Basalt (dens 3.0, hard 6, therm 1.5, elec insulator, piezo no, SEQ 2.0, Raman: 500, 670, 1000)

Cubic

Halite (dens 2.17, hard 2.5, therm 7, elec insulator, piezo no, SEQ 1.15, Raman: 234)

Fluorite (dens 3.18, hard 4, therm 9.7, elec insulator, piezo no, SEQ 1.26, Raman: 322)

Diamond (dens 3.52, hard 10, therm 2000, elec conductor, piezo yes, SEQ 2.84, Raman: 1332) Pyrite (dens 5.01, hard 6.5, therm 0.4, elec conductor, piezo no, SEQ 1.30, Raman: 343, 379, 430) Magnetite (dens 5.18, hard 6.5, therm 6, elec conductor, piezo no, SEQ 1.25, Raman: 668, 538, 306) Galena (dens 7.6, hard 2.5, therm 2.5, elec semiconductor, piezo no, SEQ 0.33, Raman: 137, 205)

Hexagonal

Graphite (dens 2.26, hard 1.5, therm 150, elec conductor, piezo no, SEQ 0.66, Raman: 1580, 1350)

Quartz (dens 2.65, hard 7, therm 7.5, elec insulator, piezo yes, SEQ 2.64, Raman: 464, 206, 128)

Hematite (dens 5.26, hard 6, therm 10, elec semiconductor, piezo no, SEQ 1.14, Raman: 225, 293, 412)

Monoclinic

Gypsum (dens 2.3, hard 2, therm 0.5, elec insulator, piezo no, SEQ 0.87, Raman: 1008, 414, 493)

Shale (dens 2.6, hard 3, therm 1, elec insulator, piezo no, SEQ 1.15, Raman: 460, 362) Muscovite (dens 2.8, hard 2.5, therm 0.5, elec insulator, piezo no, SEQ 0.89, Raman: 262, 398, 700) Talc (dens 2.8, hard 1, therm 6, elec insulator, piezo no, SEQ 0.36, Raman: 195, 367, 677)

Wollastonite (dens 3.0, hard 4.75, therm 1.5, elec insulator, piezo yes, SEQ 1.58, Raman: 635, 970, 1045) Amphibole (dens 3.1, hard 5.75, therm 1, elec insulator, piezo no, SEQ 1.85, Raman: 670, 1030, 180)

Orthorhombic

Sulfur (dens 2.07, hard 2, therm 0.2, elec insulator, piezo no, SEQ 0.97, Raman: 153, 219, 473)

Gneiss (dens 2.8, hard 7, therm 2, elec insulator, piezo no, SEQ 2.5, Raman: 464, 262, 510)

Olivine (dens 3.3, hard 6.75, therm 4, elec insulator, piezo no, SEQ 2.05, Raman: 856, 824, 595) Barite (dens 4.5, hard 3, therm 1.3, elec insulator, piezo no, SEQ 0.67, Raman: 988, 461, 616)

Triclinic

-

Microcline (dens 2.56, hard 6, therm 1.5, elec insulator, piezo no, SEQ 2.34, Raman: 513, 475, 287) Feldspar (dens 2.6, hard 6, therm 1.5, elec insulator, piezo no, SEQ 2.31, Raman: 507, 480, 285) Labradorite (dens 2.7, hard 6.25, therm 1.5, elec insulator, piezo no, SEQ 2.31, Raman: 507, 480, 285)

Rhodonite (dens 3.6, hard 6, therm 3, elec insulator, piezo no, SEQ 1.67, Raman: 305, 360, 1000)

Trigonal

-

Limestone (dens 2.7, hard 3, therm 2.2, elec insulator, piezo no, SEQ 1.11, Raman: 1085, 281, 156) Marble (dens 2.7, hard 3, therm 2.5, elec insulator, piezo no, SEQ 1.11, Raman: 1085, 711, 281) Calcite (dens 2.71, hard 3, therm 3, elec insulator, piezo yes, SEQ 1.11, Raman: 1085, 711, 281)

-

Clustering Demonstration

Clustering reveals behavioral differences via AO: Quartz (hexagonal, mid-density, high hardness/therm, piezo yes, SEQ 2.64, Raman 464, 206) clusters as resonant (Y-vibration for piezo/conduction), differing from granite (amorphous/igneous, mid-density, mid hardness/therm, piezo trace, SEQ 2.41, Raman 464, 510) by composite structure enabling insulation but lower resonance. Basalt (amorphous/igneous, mid-high density, mid hardness/low therm, no piezo, SEQ 2.0, Raman 500, 670) clusters as dense/insulative igneous, contrasting obsidian's glassy low therm (amorphous, mid-density, mid hardness, no piezo, SEQ 2.12, Raman 450, 800) for brittle conduction. Limestone (trigonal, mid-density, low hardness/therm, no piezo, SEQ 1.11, Raman 1085, 281) clusters as soft sedimentary, low Y-boundary leading to dissolution vs. others' persistence—explaining differential insulation (high in quartz/granite), conduction (basalt/obsidian heat flow), and density-driven behaviors (e.g., basalt's durability vs. limestone's erosion).

Advantages of the Classification

Utilizing this AO-aligned table offers distinct advantages, both standalone and when combined with existing classifications (e.g., Dana's system). Standalone, it provides predictive power via SEQ bands, allowing quick identification of resilience "sweet spots" for applications, and scale-invariant clustering that reveals behavioral patterns for education/research. In combination, it enables convergent unification (resolving fragments like compositional gaps), enhanced practical applications (e.g., optimizing composites), and testable forward expectations (e.g., engineered piezo-rocks). Overall, it shifts paradigms toward resilient, encoded-law-based material design.This table stands independently in materials science, converging classifications for practical applications (e.g., SEQ-guided material selection).

References

  1. Engineering Toolbox. (2025). Mineral Properties. Retrieved from https://www.engineeringtoolbox.com/mineral-properties-d_1251.html

  2. LibreTexts. (2025). Mineralogy Database. Retrieved from https://geo.libretexts.org/Bookshelves/Geology/Mineralogy

  3. RRUFF Project. (2025). Raman Spectra Database. Retrieved from https://rruff.info

  4. Swygert, J.S. (2025). The Swygert Theory of Everything AO (TSTOEAO): Foundational Training Corpus and Related Papers. Retrieved from https://tstoeao.com



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