UCARE Unified Engine — Aubrey Logic AI

Control Input

UCARE v1.0

Quadratic

Paywall Gate

Peace Protocol

Quadratic Coefficients

a (x²)

b (x)

Domain Layer

UCARE State Parameters

U_human

δ (penalty)

g (quality)

ε⁻ (max drop)

ε⁺ (max rise)

α (class-K)

Paywall Gate — CareLogic Command

DIGNITY INVARIANT

h(x) = U_human(x) − δ(x) ≥ 0 → BLOCKED if paywall reduces U_human below δ No system—AI, corporate, or otherwise— gets to condition dignity on payment. Sustainability ≠ Dignity-Gating.

Service U_human (pre-payment)

U_human after paywall reduction

δ threshold

Tradition

Teshuvah

Tawbah

Catholic

Prāyaścitta

Buddhist

Pagan

Grievance (hashed, not stored)

Party A δ

Party B δ

U_human

Live State & Analysis

EPOCH 0

AWAITING INPUT

φ = —

h(x) = U − δ —

CBF CONDITION

L_f h(x) + L_g h(x)·u ≥ −α(h(x)) → Ṡet h(x) = U − δ, discrete form: h(t+1) − h(t) ≥ −α·h(t) ⟺ U_{t+1} − δ_{t+1} ≥ 0 [α=1 zero-tolerance]

Quadratic Analysis

STANDARD FORM

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VERTEX FORM

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FACTORED FORM

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DERIVATIVE

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INTEGRAL

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DISC

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VERTEX X

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VERTEX Y

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NATURE

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ROOTS

—

Discriminant → φ (CBF Coupling)

MAPPING RULE

Δ > 1 → φ = +0.100 (two real roots → SAFE) Δ ∈ (0,1] → φ = +0.050 (marginal → NOISY) Δ ≤ 0 → φ = −0.100 (complex/none → FAULT)

Graph Points (7 samples around vertex)

Witness Log

0 entries

QuadraticMerkle Root

Merkle root will appear here after first run.

Current Epoch Metrics

U_human —

δ (penalty) —

h(x) = U − δ —

Disutility D(u,g) —

k_critical —

ΔU (stability) —

Event Timeline

UCARE Attestation

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