A 10-state symbolic system for Numo Field Theory
A unique duality: a simple, interpretive "what" built upon a proven, formal "how"
The Interpretive Interface
A.C.M.E. is the user-facing "map" of The Cauldron. It is the four-layer symbolic framework you interact with, based on the original "Numerical Universal Mandala Object" PDF. These layers provide the system's rich interpretive meaning and personality.
The "Stabilization Band"
The "Interior Core"
The "Inversion Band"
The "Circulation Ring"
A.C.M.E. is the intuitive language we use to explore.
This dual structure is the definitive branding of The Cauldron:
A.C.M.E. is the map, C.O.R.E. is the physics.
The intuitive A.C.M.E. layers you see are not random; they are the direct symbolic expression of the rigorous, hidden C.O.R.E. algorithm. When you use this system, you are not just interpreting symbols; you are tracing paths along a proven, formal mathematical object.
The 11-Sum duality structure across all layers
| State | Layer | Pair (11-Sum) | Layer | State |
|---|---|---|---|---|
| 1 | Cauldron | (Core) | Cauldron | 0 |
| 2 | Engine | (2+9=11) | Engine | 9 |
| 3 | Membrane | (3+8=11) | Membrane | 8 |
| 4 | Axis | (4+7=11) | Axis | 7 |
| 5 | Engine | (5+6=11) | Engine | 6 |
Note: A.C.M.E. uses 11-sum duals. C.O.R.E. uses antipodal geometric duals (see C.O.R.E. Manual).
The definitive logic fusing elemental symbolism with proven mathematical structure
| State (n) | Element | A.C.M.E. Layer | δ-Dual (11-Sum) |
|---|---|---|---|
| 1 | Fire (Spark) | Cauldron | {1, 0} |
| 2 | Water (Bonds) | Engine | {2, 9} |
| 3 | Air (Ideas) | Membrane | {3, 8} |
| 4 | Earth (Structure) | Axis | {4, 7} |
| 5 | Fire (Impulse) | Engine | {5, 6} |
| 6 | Earth (Duty) | Engine | {5, 6} |
| 7 | Air (Seeking) | Axis | {4, 7} |
| 8 | Spirit (Destiny) | Membrane | {3, 8} |
| 9 | Spirit (Mystery) | Engine | {2, 9} |
| 0 | Void (Source) | Cauldron | {1, 0} |