A Unified Framework Bridging Science and Spirituality
by Ashman Roonz
The Circumpunct framework proposes a universal mathematical skeleton shared by all effective theories—from quantum physics to consciousness to ethics. At its heart is an ancient symbol: a point within a circle.
The framework reveals:
- Trinity Structure: Every whole requires three components—center, field, and boundary
- Dual Flow: All systems converge (take in) and emerge (put out)
- Infinite Nesting: Circumpuncts within circumpuncts, all the way up and down
- 64 Configurations: The complete state space of any aperture (2^3 x 2^3)
The field update equation:
Phi' = emergence . transform . convergence[Phi]
convergence gathers
transform processes (aperture)
emergence expresses
This is not metaphor—it's a two-kernel integral transform that physics fills with scale-dependent kernels.
Circumpunct/
├── README.md # This file
├── docs/ # Main documentation
│ ├── 01-core-theory/ # Core framework documents
│ ├── 02-mathematical/ # Mathematical foundations
│ ├── 03-time-volume/ # Time-volume theory (v6)
│ ├── 04-physics/ # Physics applications
│ └── 05-philosophy/ # Consciousness & philosophy
├── Circumpunct_CPU/ # ⊙-Core fractal computing architecture
│ ├── sierpinski-filter-spec.md # Mathematical specification
│ ├── substrate-research.md # Physical implementation survey
│ ├── sierpinski_sim.py # Python numerical validation
│ └── *.html # Interactive visualizations
└── circumpunct-chemistry/ # Chemistry validation project
├── 01-core-theory/
├── 02-chemistry-theory/
├── 03-implementation/
├── 04-validation/
├── 05-demos/
├── 06-visualizations/
├── 07-results/
├── 08-reports/
└── 09-documentation/
| Document | Description |
|---|---|
| Circumpunct_Theory.md | Complete formal framework with ground axioms, 64 configurations, dimensional structure |
| THE_COMPLETE_CIRCUMPUNCT_FRAMEWORK.md | Master framework document |
| CIRCUMPUNCT_v4.1_RIGOROUS.md | Rigorous v4.1 formulation |
| Circumpunct_Narrative.md | Accessible narrative exploration |
| Document | Description |
|---|---|
| circumpunct_mathematical_foundations.md | Mathematical basis |
| circumpunct_v6_mathematical_completion.md | V6 mathematical completion |
| THE_MATH_STORY_OF_CIRCUMPUNCT.md | Mathematical narrative |
| 64_state_table.md | Complete 64-state enumeration |
| circumpunct_logic_gate_specification.md | Logic gate specification |
| Document | Description |
|---|---|
| circumpunct_v6_time_volume.md | Complete 6D time-volume framework |
| time_volume_summary.md | Executive summary |
| time_volume_visual_guide.md | Visual explanations with diagrams |
| v6_documentation_index.md | V6 documentation index |
| Document | Description |
|---|---|
| PHYSICS_PAPER_GEOMETRIC_PERIODIC_TABLE.md | Geometric periodic table derivation |
| circumpunct_chemistry_64state.md | 64-state chemistry |
| Circumpunct_Oscillator.md | Oscillator dynamics |
| shared_field_bonding.md | Shared field bonding theory |
| Document | Description |
|---|---|
| consciousness_and_mind.md | Consciousness framework |
| City_of_resonance-steelman.md | City of resonance analysis |
| narcissism_noble_lie.md | Philosophical essays |
| strawman_you_became.md | Identity exploration |
Experimental derivation of chemistry from geometric first principles:
- 87.3% accuracy on periodic table (48/55 elements)
- 68.4% accuracy on molecular benchmark (26/38 tests)
- Status: Experimental - validation in progress
See circumpunct-chemistry/README.md for details.
Fractal interface quantum computing architecture—the Sierpinski Filter:
| Document | Description |
|---|---|
| sierpinski-filter-spec.md | Formal mathematical specification with gate definitions and theorems |
| substrate-research.md | Physical implementation survey (photonics, superconductors, NV centers) |
| fractal-interface-quantum-computing-paper.md | Academic paper draft |
| sierpinski_sim.py | Python numerical validation |
Key Innovation: Distributes decoherence across a fractal boundary (φ⁻ⁿ amplitude decay) instead of concentrating it at a sharp measurement interface. Projected error rate improvement: 10⁻³ → 10⁻⁸.
See Circumpunct_CPU/README.md for details.
| Scale | Convergence | Emergence |
|---|---|---|
| Quantum | Strong force | Weak/EM forces |
| Cosmic | Gravity | Dark energy |
| Biological | Metabolism | Expression |
| Social | Listening | Speaking |
- Wholeness requires trinity: You cannot braid two strands
- Field mediates: Center and boundary can only interact through field
- Balance sustains: input equals output
- Validation through participation: I am whole through being part
The framework derives (not fits):
- Why D = 2 for boundary scaling
- Why holographic bounds hold
- Why phi appears in nesting
- Why three generations of fermions
- Why 64 states map to Standard Model content (48 + 12 + 4)
For first-time readers:
- Start with time_volume_summary.md
- View time_volume_visual_guide.md
- Read Circumpunct_Narrative.md
For physicists:
For philosophers:
The Circumpunct is a unifying meta-framework proposing structural isomorphisms across domains. Some mappings rest on established physics; others are interpretive hypotheses. The framework's value lies in revealing patterns and generating testable predictions.
Ashman Roonz 2025
"I am whole through being part."
