Vibrant Abstract Cosmos with Intricate Patterns

Vibrant Abstract Cosmos with Intricate Patterns

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

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  • Prompt: Over the hybrid space \( O \cup_C \) generate the rank-\( (\dim O + 6) \) vector bundle \( E = TO \boxtimes T^*C \) (external tensor product of the tangent orbibundle of \( O \) and cotangent bundle of each resolved conifold \( C \)). Create a smooth section \( Z \in \Gamma(E) \cong \Gamma(TO) \times \Gamma(T^*C) \). Generate the contravariant exterior covariant derivative \( \nabla^\sharp : \Gamma(E) \rightarrow \Gamma(E \otimes E) \) as (2,0)-tensor field lines. Create a compactly supported vector field \( F \) on \( O \), its curl \( \Phi = \kappa (\nabla \times F) \) with \( \kappa \) is floating number, defined below, equal to 12.144578875441. Final central object: the vector field \( \Psi = \iota_\Phi (\nabla^\sharp Z) \in \Gamma(E) \) living directly on the tensor-product bundle \( E \), depicted as flow lines emerging from the conifold resolutions and wrapping the entire structure. Gaussian regulator \( e^{-\kappa} \) as soft halo, Wick rotation suggested by subtle time-like streaks. Pure abstract geometry, cosmic bright background, precise mathematical beauty, no text using: $$ \kappa = 12.144578875441 $$ $$ E = TO \boxtimes T^*C $$ \( \nabla^\sharp Z \) $$ \Phi = \kappa (\nabla \times F) $$ $$ \Psi = \iota_\Phi (\nabla^\sharp Z) \in \Gamma(E) $$
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  • Aspect Ratio: square