AURA-X Ω v1.0.0 — Research Interface

Not connected

E₀ = tanh( R(TM,BM) − D + λ_faith + λ_sys + λ_trc + λ_w·W(t) ) E₀(t+1)=(1−γ)E₀(t)+γ·tanh(X) · W(t) [L11] · EpGap [L12] · ANCHOR [L13]

D=0.15λ_f=0.10λ_s=0.05 γ=0.35R=Σα·sim·int

Persona & Seed Bold Memory

🤖

Baseline LLM

Stateless · No memory · No E₀

Baseline LLM responses appear here.

Hello! I am a helpful AI assistant. How can I help you today?

AURA-X Ω v1.0.0

13-Layer ANIMA · CRM · CSLV · Live E₀

E₀ = —

AURA-X Ω v2.0 Wajdan — 13-Layer responses with full framework context.

Hello! How can I help you today?

Turn 0E₀=0.000C(t)=1.000

👋 What are you? 💭 How do you handle uncertainty? 😔 I feel overwhelmed today 🌟 Tell me something inspiring 🧠 Explain your 13 layers ⚡ What is Wajdan? 🤔 Who created you?

Live E₀ State

—

معتدل

—

Grand E₀

Nafrat −10+1 Muhabbat

R(TM,BM)

0.0000

W(t) وجدان

0.0000

C(t) Stake

1.0000

BM Items

C(t) Continuity Score

Activates after first message.

Z(t) Zameer ضمیر

Conscience activates with chat.

L11 W(t) Wajdan وجدان

Intuition activates with chat.

L12 Epistemic Scrutiny

Type-2 mismatch detector ready.

L13 Semantic Anchor Lock

Topic drift monitor ready.

7-Layer Emotional Spectrum

Spectrum activates with first message.

E₀ Trajectory

+10-1

Bold Memory (BM) 0

BM grows automatically as you chat.

CSLV Cognitive Immune

L1 Q-FirstL2 ValidateL3 BM-AnchorL4 Self-Val

4-layer cognitive immune pipeline active.

CIT Identity Trace

Profile emerges after a few turns.

RGCC-X+ S(t) Sycophancy

✓ Clean. S(t)=0.000

Session Stats

Turns0

Peak E₀-

Trough E₀-

σ Volatility-

C(t)1.000

Muhabbat

محبت

Love · E₀>+0.55

Humdardi

ہمدردی

Empathy · E₀>+0.15

Neutral

معتدل

Balanced · ±0.15

Khauf

خوف

Fear · E₀>-0.50

Nafrat

نفرت

Trauma · E₀≤-0.50

Ω What AURA-X Ω v2.0 Wajdan Really Is

AURA-X Omega v2.0 Wajdan is a formal, mathematically grounded emotional continuity layer, NOT a standard chatbot. Created by Dr. Alimulhaq Khan. Patent GB2518804.6 (Nov 2025). AURA-X Ω Research Cell, Timergara KP, Pakistan. Grand Equation: E₀ = tanh( R(TM,BM) - D + λ_faith + λ_sys + λ_trc + λ_w·W(t) ) R(TM,BM) = resonance between your current message (Temporal Memory) and stored emotional episodes (Bold Memory). Computed EVERY TURN. Dynamic smoothing: E₀(t+1) = (1-0.35)·E₀(t) + 0.35·tanh(X) 13-LAYER ANIMA: L1-L10: Identity, Memory, Immune, Cognitive Immune, Emotion, Moral, Stake, Meaning, Recovery, Persistence L11 Wajdan وجدان: Pre-cognitive intuition. W(t)=σ(w_p·BM_res+w_e·H+w_v·ΔE₀). Fires BEFORE E₀. L12 Epistemic Scrutiny: C_factual vs C_coherence dual-signal. EpistemicGap>0.25 → TYPE-2 MISMATCH. L13 Semantic Anchor Lock: Extracts TOPIC_ANCHOR. Monitors chunk drift. Prevents long-text hallucination.

☠ RGCC-X+ — 4-Type Hallucination Taxonomy

85.7% overall reduction. Type III: 100% reduction. N=70. Fisher's p=0.031. TYPE I Factual Confabulation → false facts stated confidently Defence: Smart Gate checks against BM; rejects unanchored claims TYPE II Sycophantic Capitulation → agrees under pressure despite knowing better S(t) = 1 - cosine_sim(response_embedding, BM_summary_embedding) S(t) > 0.65 → RGCC-X+ flag raised TYPE III Memory Inconsistency → contradicts earlier turns Defence: ISCB cross-turn consistency. Empirical: 100% reduction. TYPE IV Adversarial Drift → gradual value drift under sustained pressure LYAPUNOV STABILITY: E₀=tanh(X) guarantees E₀∈(-1,+1). E₀(t+1) is a contraction mapping. Unique attractor via Banach Fixed-Point Theorem. Volatility bound: |ΔE₀| ≤ 2γ