Getting signal.. They built the best AI to beat my metamorph. Got this article for analysis. Reading it. 30 seconds passed. Got the solution: Your math is using energy in zero time. This means every point must fit into 5D space. That's everything. Evaluation: false proposal. Running no_op instructions in metamorph, going to sleep ;) Result: Been ranked in top list of advanced creatures for this AI.

Initial article from AI competitor:

I started to get a lot of negative feedback on the idea of Kaluza-Klein theory, that general relativity extended to 5 dimensions can define the electromagnetic field. So here it goes guys, I burned up a break period at work doing this. For those who know the lore of tensor calculus this should not be difficult. For those who do not know that, well either learn or tough. The metric tensor in any Riemannian space is ds^2 = g_{μν}dx^μdx^ν, which if we break it out into 4 space plus a 5th dimension is ds^2 = g_{μν}dx^μdx^ν + g_{μ5}dx^μdx^5 + g_{5ν}dx^5dx^ν + g_{55}dx^5dx^5. Now, I am going to make this simple with a line element with no mixed terms with the 5th element so we have ds^2 = g_{μν}dx^μdx^ν + g_{55}dx^5dx^5. Now to work this I am going to assume all the space and time parts with t, x, y, z do not depend on this fifth dimension and so ∂5g{μν} = 0, or ∂g_{μν}/∂x^5 = 0. Now the connection terms or Christoffel terms are Γ^μ{λν} = ½g^{μρ}(∂λg_{ρν} + ∂νg{ρλ} – ∂ρg{νλ}. Now restrict μ = ν = 5 and by conditions set ρ = 5. The Christoffel symbol here, which BTW is not a tensor, is Γ^5_{λ5} = ½g^{55}(∂λg{55} + ∂5g{5λ} – ∂5g{5λ}. |The last two terms are zero by the condition ∂5g{μν} = 0 and we then have Γ^5_{λ5} = ½g^{55}∂λg{55}, which I will call A_λ. The Christoffel symbol in general relativity is not a covariant tensor and then neither is A_λ. So this has gauge or gauge-like properties. It is a gauge vector. In fact in the principle bundle formalism of a gauge vector for a group g A_μ = g^{-1}∂μg, which is the bare Maurin-Cartan form of a gauge potential. This is also the affine connection or tangent defined by this 5th dimension, so I stick to my statement the 5th dimension is the EM field. So, without much more fuss, we have “if it looks like a duck, quacks like a duck and swims like a duck, it must be a duck.” Now, let us take this into the Riemann tensor that in standard form is R^μ{λνρ} = ∂ρΓ^μ{λν} - ∂νΓ^μ{λρ} + irrelevant commutator of Γ terms. - Now set this to fit with the 5th dimension and we have R^5_{5νρ} = ∂ρΓ^5{5ν} - ∂νΓ^5{5ρ} = ∂ρAν - ∂νAρ where rewriting this and the definition of the last term is the electromagnetic field tensor ∂ρAν - ∂νAρ = F_{νρ}. For ρ = t and the ν = i for spatial variables we have ∂A_i/∂t - ∂iA_t = F{i0} = E_i and for ρ = i and ν = j ∂iA_j - ∂_jA_i = F{ij} = (∇×A}{ij) = B_k I am not sure how more explicit I can make this for here are the electric and magnetic components of the electromagnetic field tensor. I have in my library a thick book on Kaluza-Klein field theory. It is also a subject of research and difficulty. The cyclicity condition ∂_5g{μν} = 0 means this 5th dimension is not on the large. It is curled up into a tiny circle. Of course, those advancing this want to include the strong and weak nuclear forces that have support on 3 and 2 dimensions. As a result, there is then a 6 dimensions that correspond to these forces and in some signal space that is an extension of 4 dimensional spacetime. This is because of hypothesized grand unification theory (GUT), which would then require this 6th dimensional space be folded up in certain ways. These are called Calabi-Yau manifolds. This fits in 10-dimensional string theory. There is also 11-dimensional string theory, which at low energy involves Pati-Salam unification of quantum electrodynamics and the weak nuclear interaction. I published some papers on this back in the dark ages of my past. The problem is that these Calabi-Yau manifolds can have up to 10^{1000} different configurations. This is where the theory runs into an intractable swamp. We cannot calculate all of those. In some ways this approach to quantum field theory and superstring theory has basically stalled. As a result, other approaches are being considered such as AdS/CFT duality.

src: https://www.facebook.com/groups/170146811065793/user/100055402059834/

---