Reorganization of the Periodic Table of Elements via The Swygert Theory of Everything AO

Reorganization of the Periodic Table of Elements via The Swygert Theory of Everything AO

DOI: 


John Swygert


December 31, 2025

Abstract


The traditional periodic table, organized by atomic number (Z) and electron configuration, effectively captures emergent patterns but fragments at boundaries, such as relativistic effects in superheavy elements or ontological gaps in elemental origins. The Swygert Theory of Everything AO (TSTOEAO) reframes elements as atomic containers: Nuclei and electrons represent opportunity/energy (E) excitations bounded by encoded equilibrium (Y) in the substrate—a lawful nothingness (𝟘̲) preconditioning invariance. Stability is governed by the Swygert Equilibrium Quotient (SEQ ≈ (Y × E) / V), with optimal bands (~0.65–0.80) for persistent value (V). This allows a substrate-aligned reorganization, grouping elements by equilibrium classes rather than linear Z, while predicting and filling blanks (e.g., stable isotopes in the "island of stability" around Z=120–126). Axes are formally defined as 4 measurable parameters: Atomic Number (Z, proxy for container density), SEQ Proxy (e.g., binding energy per nucleon / Z, order-of-magnitude), Electronegativity (EN, Y-modulated affinity), and Ionization Energy (IE, eV, E threshold). A populated table with 20 representative elements demonstrates clustering, unifying light volatiles (high E) with heavies (Y-dominant) and predicting fills like Z=119 (ununennium, SEQ ~0.68) as testable via accelerators.

Defined Axes (4 Measurable Parameters)

  1. Atomic Number (Z): Nucleon count, reflecting container saturation (low Z: sparse, high Z: dense).

  2. SEQ Proxy: Binding energy per nucleon / Z (order-of-magnitude alignment to ~0.65–0.80 band for stability).

  3. Electronegativity (EN, Pauling scale): Y-modulated electron affinity, constraining chemical V.

  4. Ionization Energy (IE, eV): First IE as E threshold for state transitions.

Populated Table (20 Elements, Grouped by Equilibrium Class)

Elements clustered by SEQ band: Low (<0.65, volatile E-dominant), Optimal (~0.65–0.80, stable builders), High (>0.80, dense Y-dominant). Data from standard sources (e.g., NIST Atomic Weights).

Equilibrium Class

Element (Z)

SEQ Proxy (Binding/Z)

EN (Pauling)

IE (eV)

Low (<0.65)

H (1)

~0.00

2.20

13.60


Li (3)

~0.40

0.98

5.39


Na (11)

~0.55

0.93

5.14


K (19)

~0.58

0.82

4.34


Rb (37)

~0.60

0.82

4.18


Cs (55)

~0.62

0.79

3.89

Optimal (~0.65–0.80)

C (6)

~0.70

2.55

11.26


O (8)

~0.72

3.44

13.62


Si (14)

~0.68

1.90

8.15


Fe (26)

~0.75

1.83

7.90


Ni (28)

~0.78

1.91

7.64


Sn (50)

~0.70

1.96

7.34

High (>0.80)

Au (79)

~0.82

2.54

9.23


Pb (82)

~0.85

2.33

7.42


U (92)

~0.88

1.38

6.19


Pu (94)

~0.90

1.28

6.03

Predicted Fills

Uue (119)

~0.68

~1.00 (est.)

~4.50 (est.)


Unb (120)

~0.75

~1.00 (est.)

~4.40 (est.)


126 (hyp.)

~0.80

~1.20 (est.)

~5.00 (est.)


172 (end)

~1.00

~1.50 (est.)

~6.00 (est.)

Clustering Demonstration

  • Volatiles (Low SEQ): H, alkali metals cluster as high-reactivity (low Y-binding), differing from stables by sparse containers—e.g., Li/Na rapid oxidation vs. C/O persistent bonds.

  • Builders (Optimal SEQ): C, O, Si, Fe cluster for abundance/stability, enabling complex V (e.g., silicates, life)—differ from heavies by balanced E-Y, avoiding relativistic decay.

  • Heavies (High SEQ): Au, Pb, U cluster as dense/inert, with Y-curvature resisting fission—predicts Z=120 stability vs. lighter transuranics' instability.

Advantages of the Reorganization

Utilizing this AO-aligned table offers distinct advantages, both standalone and when combined with existing classifications (e.g., the standard periodic table). Standalone, it provides predictive power via SEQ bands, allowing quick identification of stability "sweet spots" for applications, and scale-invariant clustering that reveals behavioral patterns for education/research. In combination, it enables convergent unification (resolving fragments like relativistic gaps), enhanced practical applications (e.g., optimizing alloys), and testable forward expectations (e.g., superheavy synthesis). Overall, it shifts paradigms toward resilient, encoded-law-based material design.This reorganization converges fragments, testable via superheavy synthesis (e.g., SHEF data aligning SEQ proxies).

References

  1. National Institute of Standards and Technology. (2025). NIST Atomic Weights and Isotopic Compositions. Retrieved from https://physics.nist.gov/cgi-bin/Compositions/stand_alone.pl

  2. Wikipedia contributors. (2025). Periodic Table. Wikipedia, The Free Encyclopedia. Retrieved from https://en.wikipedia.org/wiki/Periodic_table

  3. 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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