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CGB Zero-Point Fabrication Deposition

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Vacuum energy per mode is (1/2)hbar*omega. Sum diverges. Zeta regularization gives 1+2+3+... = -1/12. Result: Casimir energy - finite, measurable, attractive.

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CGB Zero-Point Fabrication Deposition (PDF) sample

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Abnormal

CGB Zero-Point Fabrication Deposition

A Novel Mathematical Deposition by Christopher Gabriel Brown

The Formula

E_zp = (1/2)*hbar*omega implies Sum(modes) (1/2)*hbar*omega_k -> infinity implies zeta(-1) = -1/12 implies E_reg = -hbar*c*pi^2/(720*d^3)

Simplified

Vacuum energy per mode is (1/2)hbar*omega. Sum diverges. Zeta regularization gives 1+2+3+... = -1/12. Result: Casimir energy - finite, measurable, attractive.

Plain Language

Empty space vibrates at every frequency. The total is infinite. But 1+2+3+4+... secretly equals -1/12. Using that, infinite vacuum energy collapses to a tiny real force pulling metal plates together. Measured in the lab. Infinity has a finite answer.

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

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