RTSG Master Index¶
Foundational Theory¶
| Topic | Page | Summary |
|---|---|---|
| CS Mechanics | cs_mechanics | Dynamics of consciousness space, GL action, will field equation |
| CS Operator Theory | cs_operator_theory | Operators acting on consciousness space, spectral theory |
| Graded BRST | graded_brst | Ghost fields, gauge symmetry of consciousness, cohomology |
| K-Matrix | k_matrix | Intelligence dimensions, compound dimensions, dimensional holes |
| Equations | equations | Master equation reference for all RTSG formulae |
| Definitions | definitions | Notation, terminology, constants |
Core Structures¶
Three Co-Primordial Spaces¶
- Quantum Space (QS) — Superposition, entanglement, quantum coherence
- Physical Space (PS) — Spacetime, matter, energy, gravitation
- Consciousness Space (CS) — Thought, will, awareness, coherence
All three are unified by the GL action \(S[W] = \int(|\partial W|^2 + \alpha|W|^2 + \frac{\beta}{2}|W|^4)d\mu\).
The Knowledge Graph¶
- 2,476+ nouns across 8 Gardner dimensions
- 6,813+ relations of 34 distinct types
- Spectral radius \(\mu_1 = 1728.6 \approx 12^3\) (modular discriminant connection)
- 3 topological holes: Musical, Interpersonal, Intrapersonal
- Fixed point: RTSG itself under all containment maps
Projection Lenses¶
- Spectral — Eigenvalue decomposition of the graph Laplacian
- Topological — Betti numbers, holes, Euler characteristic (negative space)
- Polynomial — p-adic, F₂, complex projections of the adjacency matrix
- MFAL — Multiplex Federated Adjoint Lattice (34 layers × 5 federations)
Meta-Turing Hierarchy¶
| Level | Name | Description |
|---|---|---|
| UTM₀ | Tape | Standard Turing machine |
| UTM₁ | Filtered | Grothendieck-filtered computation |
| UTM₂ | Multiset | Parallel non-deterministic execution |
| UTM₃ | Hypervisor | Machine that simulates all lower machines |
| UTM₄ | Hive Mind | Federated multi-agent intelligence |
Photoshop-Grothendieck Correspondence¶
Grothendieck filters = Photoshop layer masks. Six blending modes generalize the fiber product:
- Multiply = Pullback (intersection)
- Screen = Pushout (union)
- Overlay = Adjoint blend (coherence-weighted)
- Soft Light = Heat kernel smoothing
- Difference = XOR topology
- Dissolve = Quantum superposition of topoi
Compound Science Lattice¶
RTSG = Math ∨ Physics ∨ Philosophy ∨ CS ∨ Neuroscience = 24 sub-fields at the join.
Applications¶
| Application | Description |
|---|---|
| Fugue | Unified chess + martial arts + cognition methodology |
| Coherence Diagnostic | Eigenvalue-based mental health assessment tool |
| Knowledge Graph Explorer | Interactive visualization of 2,476 concepts |
| Meta-Turing Simulator | Step through UTM₀–UTM₄ hierarchy |
Attribution¶
RTSG is the work of B. Niko (@B_Niko).