Six Scalars Mapped onto the Kartikeya Cube — Six-Domain Visualization Model

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Status: constructed six-domain visualization and engineering ontology.

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First-principles formalism

Assign six normalized scalar values

$$ \Omega_1,\ldots,\Omega_6 $$

to the six faces of a cube. A composite score may be defined by

$$ \Phi=\sum_{i=1}^6w_i\Omega_i,\qquad \sum_iw_i=1. $$

The cube is therefore a categorical carrier for six domain variables.

Where contraction is intended, the canonical stable operator is

$$ x_{n+1}=(I-\varepsilon K^\dagger K)x_n, $$

not the generic use of $I-\varepsilon K$.

Six domain scores can be displayed consistently on a cube.
The cube is a visualization ontology, not a theorem forced by $E_{47}$.
A weighted composite is defined only after weights and normalization rules are specified.
High cross-domain mean does not imply membership in $E_{47}$.
The six faces are not six canonical eigenspaces unless an explicit representation is constructed.

The plate is useful as an interface for mathematical formalism, computation, visual systems, AI, domain bridging, and network dissemination.