Arca Transdisciplinar

 here is the section for mathematical symbolic proves and formulaic researchs. unique $Ω$ has unique metric: $Ω\space parametrizes\space T_pM \rightarrow T_pM\simeq T_qM$(isomorphism),in order to the product be different the vectors must be too(so there's one metric) one of the other's first's statements declared was about momentum being normal or somewhat normal with tangent parts to it as the curvature has its hybrid structure,sometimes being normal,sometimes not,the following is how the relation goes: $\space def.\space p \space component \space of \space  phase\space space\space connection\space Ω_{q,p}\in M \space ;Ω_p : Ω_p \propto \delta p_{\forall γ \in \int J_t M}$ $\delta p = \frac{\delta p}{\delta t}\delta t = \frac{\partial p}{\partial q}\cdot \delta q$  $\parallel$ $\frac{\delta p}{\delta t} = \frac{\partial p}{\partial q}\cdot \frac{dq}{dt}$ note:the partials dont commute in order to have a force in it ,this is due to some hamiltonian like structure,to be su...