RTSG Emoji↔TMP↔LaTeX Universal Map¶

Version 0.1 · 2026-03-06 · Jean-Paul Niko¶

Three-layer notation system. Same statement, three depths, one system.

Layer 1 (universal): 🌱→💡 — anyone, no language required
Layer 2 (TMP): P→A:via:C — technical users
Layer 3 (formal): A(x) = π_C(P(x)) — mathematicians

SPACES¶

FUNDAMENTAL MAP¶

🌀→✅ :via:🕸️
P → A via C
π_C : 𝒫 → 𝒜 (projection through context)

NODES & RELATIONS¶

N-R-N = subject-relation-object = s·r·o
Edges E are NOT primary: E = {π(r) | r ∈ ℛ}

SYNERGY¶

🤝(n agents): S(J) = max(0, J-1) · J = |agents in context|

SEMANTIC PROJECTOR¶

Σ : 𝒫 × 𝒞 → 𝒜 · Σ(p,c) = a

CONTEXTUAL OBSTRUCTION¶

🚧 = projection fails:
ω(p,c) = ∅ → p not realizable in c
Obstruction class [ω] ∈ H¹(𝒞, 𝒫) (sheaf cohomology)

RELATION-SPACE METRIC¶

d(R): metric on ℛ
d(r₁,r₂) = ||φ(r₁) - φ(r₂)||
Time, sequence, semantic-distance = all instances of d(R).

THIN-CLIENT ARCHITECTURE¶

🥧 (Raspberry Pi) = thin client:
δ(🥧) = I/O only
δ(engine) = Σ + d(R) + S(J)
Cost(δ) → 0 as engine scales

Any device (Pi, Watch, calculator) → network → engine → intelligence.
C-core engine = universal access. No advanced AI arch needed.

POTENTIALITY (P-space)¶

CONTEXT (C-space)¶

ACTUALITY (A-space)¶

RELATIONS (R — first-class)¶

UNIVERSAL VALUES¶

EXAMPLE STATEMENTS¶

🧠→🌍 = intelligence maps-to world
🌱⚡→💡 = potential+energy→actualized-insight
🆓🧠🌍 = free intelligence for world
🌿⚡🔑 = earth energy unlocked
🤝(🧠🤖) = S(2) = max(0,1) = 1 unit synergy