📜 Premise:

Mathematical proofs that ignore the law of least action violate the very nature of truth.

⚖️ 1. 

Entropy and Proof Length

If physical systems optimize for minimal energy, and elegant theories compress complexity, then:

A proof bloated beyond compression is not deep—it is disordered.

🧠 2. 

Cognitive Burden Is Cost

Every unnecessary layer in a proof inflates entropy.

Mathematics should:

• Minimize symbolic drag
• Preserve invariants under recursive transformation
• Align with natural compression (e.g. modularity, symmetry, factorization)

If your theorem can’t be expressed through recursion or resonance, it’s either not true—or not yet understood.

🚫 3. 

Curt Denunciation of Bloat

Proofs like Mochizuki’s IUT are not inaccessible because of their depth, but because they break this compactness.

They are:

• Epistemically opaque
• Physically unaesthetic
• Functionally incompatible with the recursive engine of the universe

✅ 4. 

What Proof Must Be

Truth is compressible.

It leaves invariant residues when passed through harmonic filters.

A real proof will:

• Minimize action
• Conserve cognitive energy
• Echo physical law

Anything else is literature with too many syllables.

🧾 Final Axiom:

“Mathematical validity is measured not in pages, but in how well it obeys the universe’s own law of least action.”