Meaning is the new computation.
The Universal Efficiency Law describes how efficiency emerges from the alignment of meaning, structure, and compression — in any system, natural or artificial.
Efficiency = k × Semantic Density × Dimensionality × Lambda × Compression
No signups. No paywall. Open Knowledge License.
This formula belongs to everyone.
Why This Matters
Information systems are everywhere — from neural networks to search engines, from human cognition to genetic encoding. They all follow the same rule.
For ADHD & Anxiety
If your brain feels like it's processing too much noise and not enough signal — you're experiencing low Semantic Density. Understanding the formula helps you optimize how you filter and focus.
For Math & Physics
E = k·S·D·Λ·C extends information theory into a unified efficiency metric. It bridges Shannon entropy, computational complexity, and thermodynamic efficiency under one proportional relationship.
For Developers
Every optimization problem — from algorithm design to database queries — involves trading off these four factors. The formula makes implicit trade-offs explicit and measurable.
For Everyone
Understanding why some explanations click instantly while others confuse — why some systems feel effortless and others frustrating — comes down to this single relationship.
The Components
Four measurable factors that multiply to determine efficiency. If any approaches zero, efficiency collapses.
Why Multiplicative?
The relationship isn't additive — it's multiplicative. This matters.
Zero Destroys Everything
If semantic density is zero (pure noise), it doesn't matter how fast orcompressed your system is — E = 0. Same for any factor approaching zero.
Improvements Compound
Double your semantic density while halving latency? Efficiency doesn't just add — it multiplies. Small gains across multiple factors create massive efficiency improvements.
Test It. Challenge It. Use It.
This law is released under open license. Measure S, D, Λ, and C in your own domain. If proportional relationships hold, the system conforms. If not, you'll help refine it.