External forcing operator grouping
The forcing contribution includes external inputs, coupling and stochastic noise. A stochastic model must specify how the noise is sampled or integrated.
THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.
Every recovered mathematical record has an individual page. Browse original equations, code expressions, indexed components, parameter definitions, and explicitly unresolved source slots.
Counts refer to mathematical records, including implemented expressions and generated instances. They are not counts of independently validated theories. Exact occurrences and unresolved slots remain traceable. Read the complete 1–516 source index ↗ · Inspect the scan decisions ↗
The forcing contribution includes external inputs, coupling and stochastic noise. A stochastic model must specify how the noise is sampled or integrated.
This is the poster’s intended interpretation. It does not by itself identify a specific IIT formulation or provide the transition model and partition calculation it would require.
The gradient describes local variation in a proposed knowledge field H; its coordinates, units and computation are not provided.
The nonlinear contribution groups growth, decay, emergence and chaos. These labels do not determine a unique differential equation or imply chaotic dynamics without further definitions.
The physical-style contribution groups spreading, transport and geometry-dependent drift. These are operator labels and require explicit functions.
S identifies substrate scale, without specifying its normalization or units.
The state derivative is the sum of four grouped contributions described above it. Because terms such as transport appear in more than one conceptual grouping across posters, the exact operator assignments must be read from the specific source.
The sine branch uses frequency proportional to φ^k, while the cosine branch uses φ^(−k). These differ except for special cases such as k=0. This is a substantive variant of the Megamind atlas, which prints positive k in both branches.
Reconstruct a query-dependent quantity by combining the basis functions with coefficients θ_k. The input is transformed by h before basis evaluation. Unlike the small atlas rendering, this graphic explicitly prints k under the summation.
Integrate coherence times an information-related factor times a saturating knowledge-gradient magnitude, then scale by Ψ. This version clearly groups Φ(G(t)) as a separate factor, unlike the degraded atlas numerator. The integral has no printed bounds, so it is not a unique accumulated scalar…
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…
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…
The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions, operator definitions and evaluation order are required before the composition is an executable numerical rule.
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…
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…
The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions, operator definitions and evaluation order are required before the composition is an executable numerical rule.
The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions, operator definitions and evaluation order are required before the composition is an executable numerical rule.
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…
Adds loop, coherence, ANI interaction and gate-substrate terms. The notation records a proposed decomposition; adding the terms numerically requires compatible units and explicitly defined mathematical objects.
With the usual repeated-index convention, Φ^μ ∂_μ ψ contracts a vector-like field with the derivative of ψ. It resembles a directional derivative or transport term. The source labels it a Lagrangian component but does not provide coordinate units, an action integral or a complete physical model.
The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions, operator definitions and evaluation order are required before the composition is an executable numerical rule.
Computes an increment proportional to remaining coherence capacity and learning drive, then stores the incremented value with an upper clip at one. Nonnegative increments require corresponding nonnegative input factors.
Computes an increment proportional to remaining coherence capacity and learning drive, then stores the incremented value with an upper clip at one. Nonnegative increments require corresponding nonnegative input factors.
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…
The source describes this relation in the following context: 3.3 Golden Basis Functions (Equations 16-32) The holographic memory uses 16 basis functions at golden ratio frequency intervals: ψ_0(x) = sin(2π × 1.000 × x) + cos(2π × 1.000 × x) // φ⁰ ψ_1(x) = sin(2π × 1.618 × x) + cos(2π ×…
The integral accumulates δψ(t) over the interval from a to b. It can be evaluated once the integrand, its meaning and the limits are specified. The historical conversation labeled the notation non-functional, but that label is not a mathematical restriction; the actual unresolved issue is which…
Combines relevance, uniqueness, and curiosity and divides by noise/competition.
Uses a logistic mapping of solution fit, trust and value, with friction subtracted.
Combines average revenue per user, gross margin, retention and lifetime as the poster specifies.
Multiplies emotional intensity, perceived value, and identity alignment.
Subtracts mean competitor proof strength from your proof strength.
Scales simplicity plus actionability by trust and divides by friction.
Divides perceived value by emotional/financial cost plus friction to take action.
Accumulates customer clarity times perceived integration over the contact-to-enrollment period, modulated by the bounded gradient-norm factor and conscious alignment.
Expresses the difference between customer lifetime value and acquisition cost relative to acquisition cost.
Multiplies alignment by the six explicitly distinguished conversion components.