[Verse 1]
In the cortex where the columns stand
Each one solving problems close at hand
Minimizing error, predicting what's next
Local free energy keeps each one perplexed
But if every column just does its own thing
How does coherence to the whole brain spring?
[Chorus]
Free energy principle, Friston's grand design
Local computations form a global line
Every column minimizes its variational cost
When they sum together, meaning isn't lost
Distributed units, unified objective
Cortical harmony, beautifully selective
[Verse 2]
Picture columns like a jazz ensemble crew
Each musician plays their part so true
Bassist drops the low notes, drummer keeps time
But together they create a paradigm
Local optimization, each neuron's game
Builds emergent patterns that aren't the same
[Chorus]
Free energy principle, Friston's grand design
Local computations form a global line
Every column minimizes its variational cost
When they sum together, meaning isn't lost
Distributed units, unified objective
Cortical harmony, beautifully selective
[Verse 3]
Predictive coding flows through every layer
Each column acts like a prediction player
Sensory data flows up from below
Top-down predictions tell them what to know
The difference between them, that's the error signal
Driving local learning, making patterns wrinkle
[Verse 4]
Hierarchical levels, from simple to complex
Visual cortex builds what vision expects
V1 sees edges, V4 sees the shapes
Higher regions form the mental landscapes
Each level predicts what the next should receive
Surprise minimization helps the brain believe
[Bridge]
Mathematics binds what biology creates
Variational calculus seals their fates
From micro to macro, the theorem holds true
Local minimization builds a global view
Friston's framework shows us how to see
Consciousness emerging from complexity
[Chorus]
Free energy principle, Friston's grand design
Local computations form a global line
Every column minimizes its variational cost
When they sum together, meaning isn't lost
Distributed units, unified objective
Cortical harmony, beautifully selective
[Outro]
Column by column, the brain finds its way
Local solutions guide the neural ballet
Global coherence from distributed might
Mathematics illuminates consciousness bright