Evolutionary Lines and Transformation Laws in Mathematical Metaphysics

being $E$ when at instant $0$ at point $2T_p$ such being were in $p$ animated by the influence $X$ acting on domain $D$. Under the given conditions, for every being $E$ in $p \in D$ there exists and is unique the line evolutionary $E_p: T_p \to D$ that realizes in all its points the influence $X$. This vision, from the point of view of substance, symbolized through spatial position $p$, admits a corresponding symbolization from the point of view of essence. Symbolically $T_p$ can be considered as time and, instead of meditating on a point $p$ of $D$, we can place consciousness at a precise instant $t \in T_p$. This is a meditative leap, because it requires taking consciousness of unity in the metaphysical person of what manifests as a series of aspects. Instantiating $t$, without any difficulty, we can descend to the effect of $X$ at instant $t$ along the evolutionary line. With an act of active contemplation we can pass from any point $p \in D$ to the corresponding point $q \in D$ which is exactly that unique point crossed at instant $t$ by that unique evolutionary line which at instant $0$ was in $p$. The general law of action induced by $X$ on $D$ is about to emerge if we meditate slowly on the operation just completed. We can realize the entire vision in the simultaneity of the person, without losing the differentiated series of individual visions, each valid in its proper time, and the knowledge of each of them allows us to see without any uncertainty that at time $t$ a being $E$ that was in $p$ at instant $0$, after a certain time $t$, necessarily is in state $q$; in formalized language, the collection of such visions, which appear to us to act almost by force of general laws of instantiation at time $t$, can be written thus: $\{L_t\}_{t \in T}$ and each of them shows the change that has occurred in $D$. Each of them is a transformation law for the domain: $L_t: D \to D$. In their totality the symbolic correspondence point-instant versus instant-point is realized: $E_p(t) = L_t(p)$. Metaphysically, the state $q$ realized by $E$ integrating the influence $X$, which in $p$ is $X(p)$, coincides with the result of evolution at time $t$ of being $E$. The laws $L_t: D \to D$ have nothing surprising; they simply instantiate in the person what in $D$ is seen as change. From the internal point of view to $D$ it is as if domain $D$ flows over itself, evolves in itself in such a way as to manifest state $q$ at time $t$ while it had manifested $p$ previously. The synthesis that connects the analogues of what for the human condition can be time and space when an influence $X$ is activated has the form of a general law that we will generate in us and which applies to any domain $D$ that has the properties generated in us previously. We note, meanwhile, that any true operation of interior centering allows a being that at time $t$ finds itself in $q$ to derive the position $p$ in which it had placed consciousness previously at time $0$ and vice versa. We believe that the secret of many reincarnation hypotheses should be read through the symbolism we are explicating and which has certainly been realized, given the general form of the law of universal flow that we will manifest shortly, by anyone who has ever made predictions relative to appropriate domains of existence. It is the instant in the light of immortality that illuminates and unifies in a single act the entirety of the way and such instant is everywhere in the metaphysical person. Let us deepen our meditation. We see without any difficulty that, given the uniqueness of the evolutionary line, there is an internal life of generation in the series of our contemplations, which, to the analyzing mind, present themselves as a set of internal laws to domain $D$: $\{L_t\}_{t \in T}$; the secret of all meditation is $T$ which contains the globality $T_p$ of the Person, which manifests as $E$ in state $p$. The nature of such laws also symbolizes universal concatenation. Indeed, if at time $t_1$ it holds that $q_1 = L_{t_1}(p)$ and at successive time $t_1 + t_2$ it holds that $q = L_{t_1+t_2}(p)$, then it is true that if a being $E$ instead of being in $p$ had found itself in $q_1$ at time $0$ then at time $t_2$ such being would have had to find itself in $q$ that is $L_{t_2}(L_{t_1}(p)) = L_{t_1+t_2}(p)$. This is a symbolization of the law of concatenation of effects. Therefore, fixed $p$, the uniqueness of the evolutionary line demonstrates to us that there is a unique maximal evolutionary line $L_p: T_p \to D$ that realizes