Symplectic Geometry
lo-fi funk with hip-hop
April 19th, 2024suno
Lyrics
*Verse 1*
Symplectic geometry, a dance of forms,
On differentiable realms, its grace transforms.
Manifolds, curved and smooth, unfold their lore,
With closed, nondegenerate 2-forms at their core.
*Pre-Chorus*
Hamiltonian whispers from classical days,
Phase space waltzes, where symplectic lays.
Systems in motion, their secrets unfurl,
A symphony of structure, a manifold swirl.
*Chorus*
Symplectic, a calque, a linguistic embrace,
Weyl's legacy woven, a complex grace.
Latin's "com-plexus," braided threads unite,
Greek's "sym-plektikos," entwined day and night.
*Verse 2*
Darboux's Theorem whispers secrets profound,
Locally isomorphic, symplectic's ground.
Standard vector spaces, their global refrain,
Topological invariants, a celestial domain.
*saxophone solo*
*Bridge*
Symplectic topology, a cosmic ballet,
Global properties twirl, as geometry sways.
Interchangeable terms, a harmonious blend,
Symplectic's embrace, where dimensions transcend.
*Outro*
In this lyrical dance, where equations align,
Symplectic's rhythm, a timeless design.
From roots Indo-European, a tale to unfold,
Complex and symplectic, their story retold.
*Outro*
In this lyrical dance, where equations align,
Symplectic's rhythm, a timeless design.
From roots Indo-European, a tale to unfold,
Complex and symplectic, their story retold.
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