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CGB Recursive Growth Bound Deposition

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The Master Theorem applied to physical chip growth - gate count at depth d follows a branching recursion with tight upper bound.

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CGB Recursive Growth Bound Deposition (PDF) sample

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Commons

CGB Recursive Growth Bound Deposition

A Novel Mathematical Deposition by Christopher Gabriel Brown

The Formula

T(n) = a*T(n/b) + f(n) implies N_gates(d) <= C * b^d * f(b^d) where d = tree depth

Simplified

The Master Theorem applied to physical chip growth - gate count at depth d follows a branching recursion with tight upper bound.

Plain Language

When you grow a chip like a tree, each branch splits into sub-branches. The total gate count at any depth follows a predictable ceiling. Too many wires vs gates = losing design. The theorem tells you which regime you are in.

What You Get

Complete mathematical deposition document (HTML, print-ready)
Full formula with three interpretation levels
Detailed analysis and historical significance
Practical applications across multiple engineering domains
Connection to AutoPhi voxel computing architecture

Classification: Commons | Project: 27 — Mathematical Depositions | Deposition Date: March 15, 2026

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