G Model scientific reading edition
7. Numerical Structure of K_M | Advanced G Model Research
By Gurbuz Dolu, Electrical Engineer & independent researcher, Princeton, New Jersey, USA.
7. Numerical Structure of K_M is a directly addressable section of the Advanced G Model Research reading edition.
Derived relations, the current numerical value, and proposed measurement routes.
1. What is actually derived. Within the retained weak-source branch, the G Model uses K_M ∇²M = ρc² and ∇²M = C_Σ(c³T_c²/ℏ)ρ. Combining them gives K_M = ℏ/(C_ΣcT_c²) = (5π/12)ℏ/(cT_c²).
2. Current numerical K_M. The current working value is K_M = 9.63090777 × 10^42 N. The scale-free reciprocity relation inside the retained branch is G_G K_M = c⁴/(4π), or K_M = c⁴/(4πG_G).
3. K_M → T_c inversion. For K_M in SI units, T_c = sqrt[5πℏ/(12cK_M)]. Using K_M = 9.63090777 × 10^42 N gives T_c = 2.186570237920 × 10^-43 s.
4. Result classification. K_M∇²M = ρc² is the conditional source-modulus formulation. K_M = ℏ/(C_ΣcT_c²) is derived within the retained source branch. G_G K_M = c⁴/(4π) is an exact identity within the retained branch.
5. Proposed measurement routes for K_M. Source-response route: measure ρ and ∇²M, then compute K_M = ρc²/∇²M. Finite-cell dispersion route: measure the relevant wave number and group velocity and infer T_c or K_M.
Author / research direction: Gurbuz Dolu. AI assistance was used for mathematical audit, consistency checking, and document preparation; AI-assisted analysis is not independent scientific verification.
7. Numerical Structure of K_M
Derived relations, the current numerical value, and proposed measurement routes.
1. What is actually derived. Within the retained weak-source branch, the G Model uses K_M ∇²M = ρc² and ∇²M = C_Σ(c³T_c²/ℏ)ρ. Combining them gives K_M = ℏ/(C_ΣcT_c²) = (5π/12)ℏ/(cT_c²).
2. Current numerical K_M. The current working value is K_M = 9.63090777 × 10^42 N. The scale-free reciprocity relation inside the retained branch is G_G K_M = c⁴/(4π), or K_M = c⁴/(4πG_G).
3. K_M → T_c inversion. For K_M in SI units, T_c = sqrt[5πℏ/(12cK_M)]. Using K_M = 9.63090777 × 10^42 N gives T_c = 2.186570237920 × 10^-43 s.
4. Result classification. K_M∇²M = ρc² is the conditional source-modulus formulation. K_M = ℏ/(C_ΣcT_c²) is derived within the retained source branch. G_G K_M = c⁴/(4π) is an exact identity within the retained branch.
5. Proposed measurement routes for K_M. Source-response route: measure ρ and ∇²M, then compute K_M = ρc²/∇²M. Finite-cell dispersion route: measure the relevant wave number and group velocity and infer T_c or K_M.
Author / research direction: Gurbuz Dolu. AI assistance was used for mathematical audit, consistency checking, and document preparation; AI-assisted analysis is not independent scientific verification.