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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

3. Local loop activity · \Phi_i

The relation accumulates its integrand over the stated interval or closed loop. The result depends on the integrand, integration variable, limits and trajectory. In the archived notes, a loop integral represents the intended accumulation of state or error change; its…

Integration and coherencedocumented formula
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eq-071d8075d95042mathematical expression
Φi=∫Δi(t) dt\Phi_i = \int \Delta_i(t)\, dt

Read the equation

The relation accumulates its integrand over the stated interval or closed loop. The result depends on the integrand, integration variable, limits and trajectory. In the archived notes, a loop integral represents the intended accumulation of state or error change; its consciousness interpretation remains a source proposal.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read \Phi_i as the quantity being defined or updated by this relation.

  2. Integrates contributions over the variable and bounds stated in the expression; the measure and domain must come from this source.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
Where k₀ is a constant (replaces dx to keep this non-cognitive and safe).

3. Local loop activity

\Phi_i = \int \Delta_i(t)\, dt

4. Coupling (safe & non-adaptive)

W_{ij} = \alpha C_i + \beta C_j

5. Routing (simple deterministic selector)
Exact original notation
\Phi_i = \int \Delta_i(t)\, dt

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 3402 · Jul 21, 2026
\Phi_i = \int \Delta_i(t)\, dt
02
Pasted text (2).txt
lines 2437–2437 · Jul 21, 2026
\Phi_i = \int \Delta_i(t)\, dt

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