The intention of this article is to propose a generalization to the Black Hole (BH) model, priori... more The intention of this article is to propose a generalization to the Black Hole (BH) model, prioritizing an understanding from graphic intuitions. To promote the model presented here (based on the use of quaternions) I will try to convince you that with an incredibly simple change of coordinates of the type (T, X) → (iT + jX, iT − jX), it is possible to see (and therefore also intuit) a much more understandable 4D representation than those offered so far in General Relativity for known BH models. But beyond the possible results that I will defend from my physcicist position (such as: 1) the diagonalization of the Kerr metric, 2) a toroidal interpretation of the "infinite universes" that arise when rotating a BH and 3) a model that simultaneously contemplates BHs with and without angular momentum, in which singularities are interpreted as "a problem of coordinates"), what this trans and self-proclaimed anthropologist-of-science seeks above all is to promote a "modal" metaphysic for science, in which every model exists and can be interpreted as physical with the appropriate correspondence between "coordinates" and "metaphysical parameters" (in particular, with such a position I will try to give "materiality" to the universes that today we call "imaginary", such as of "complex" numbers). Inspired by a theory that I imported from anthropology, called Multinaturalismo (Viveiros de Castro), I will defend the epistemological (that is, political) utility that a primitivist twist of scientific languages would bring to the construction of Science and its importance in relation to "Society". My (not so) secret intention? De-binarize the Academy. Help to finally blur the boundaries between Discover/Create, Reality/Fiction, Nature/Society.
The proposal, in a nutshell, is to think of the cosine as a function that arises when studying "t... more The proposal, in a nutshell, is to think of the cosine as a function that arises when studying "toroidal phenomena" --like the angular momentum-- with theories based on the presumption of a topologically spherical space-time. This conjecture, which intends to be located in the origins of General Relativ-ity, needs a correct definition of the existent here called "toroidal phenomenon". That is to say, we will have to pause a moment in the assumptions about space-time that we seek to question. Modesty aside, let's think of as an analogy in Einstein's effort to convince the scientific community that Space and Time were not two independent existents, but that one could transform one into the other according to the observer. That questioning, of the ontological type, will be the branch of this work that I would most like to emphasize. As I have not known how to have the mathematical capabilities-or luck-to find a "perihelion of Mercury" that gives experimental value to the topological proposal that I seek to present, what I will do instead will be to analyze the conjecture using three "metaphysical frames of references", in three independent sections, hoping to convince "by convergence" (or, by insistence...): ⊕ Epistemological arguments: I will present the "toroidal phenomena" as a "mode of resonance" (or, adapting Bruno Latour, a "mode of existence" [1]) of a universe that I will assume infinitely complex. ⊕ Geometric Arguments: I will draw on a known result [2][3][4] that relates the first non-spherical mode of a non-rotating black hole perturbation with a slowly rotating black hole. This small step between one space-time and another, which turns out to be topologically identifiable with the boundary figure between a a sphere and a toroid, will be the cornerstone on which the proposed generalization will be based. ⊕ Graphical Arguments: Through the use of Penrose Diagrams --the most commonly used space-time maps in General Relativity-- I will show that the toroid is not only intuited from continuous deformations of the diagram, but even seems to suggest simple explanations for the timelike closed curves and infinite parallel universes "predicted" by classical theory.
Geometric and motivationals but especially graphics arguments are presented concerning a posible ... more Geometric and motivationals but especially graphics arguments are presented concerning a posible generalization to the Black Hole (BH) model. The propousals are highly linked (i think) with the spinorial formalism. As a first step, we study the BH perturbations l = 0 and l = 1 in a tridimensional version of the Penrose-Carter diagram.
The intention of this article is to propose a generalization to the Black Hole (BH) model, priori... more The intention of this article is to propose a generalization to the Black Hole (BH) model, prioritizing an understanding from graphic intuitions. To promote the model presented here (based on the use of quaternions) I will try to convince you that with an incredibly simple change of coordinates of the type (T, X) → (iT + jX, iT − jX), it is possible to see (and therefore also intuit) a much more understandable 4D representation than those offered so far in General Relativity for known BH models. But beyond the possible results that I will defend from my physcicist position (such as: 1) the diagonalization of the Kerr metric, 2) a toroidal interpretation of the "infinite universes" that arise when rotating a BH and 3) a model that simultaneously contemplates BHs with and without angular momentum, in which singularities are interpreted as "a problem of coordinates"), what this trans and self-proclaimed anthropologist-of-science seeks above all is to promote a "modal" metaphysic for science, in which every model exists and can be interpreted as physical with the appropriate correspondence between "coordinates" and "metaphysical parameters" (in particular, with such a position I will try to give "materiality" to the universes that today we call "imaginary", such as of "complex" numbers). Inspired by a theory that I imported from anthropology, called Multinaturalismo (Viveiros de Castro), I will defend the epistemological (that is, political) utility that a primitivist twist of scientific languages would bring to the construction of Science and its importance in relation to "Society". My (not so) secret intention? De-binarize the Academy. Help to finally blur the boundaries between Discover/Create, Reality/Fiction, Nature/Society.
The proposal, in a nutshell, is to think of the cosine as a function that arises when studying "t... more The proposal, in a nutshell, is to think of the cosine as a function that arises when studying "toroidal phenomena" --like the angular momentum-- with theories based on the presumption of a topologically spherical space-time. This conjecture, which intends to be located in the origins of General Relativ-ity, needs a correct definition of the existent here called "toroidal phenomenon". That is to say, we will have to pause a moment in the assumptions about space-time that we seek to question. Modesty aside, let's think of as an analogy in Einstein's effort to convince the scientific community that Space and Time were not two independent existents, but that one could transform one into the other according to the observer. That questioning, of the ontological type, will be the branch of this work that I would most like to emphasize. As I have not known how to have the mathematical capabilities-or luck-to find a "perihelion of Mercury" that gives experimental value to the topological proposal that I seek to present, what I will do instead will be to analyze the conjecture using three "metaphysical frames of references", in three independent sections, hoping to convince "by convergence" (or, by insistence...): ⊕ Epistemological arguments: I will present the "toroidal phenomena" as a "mode of resonance" (or, adapting Bruno Latour, a "mode of existence" [1]) of a universe that I will assume infinitely complex. ⊕ Geometric Arguments: I will draw on a known result [2][3][4] that relates the first non-spherical mode of a non-rotating black hole perturbation with a slowly rotating black hole. This small step between one space-time and another, which turns out to be topologically identifiable with the boundary figure between a a sphere and a toroid, will be the cornerstone on which the proposed generalization will be based. ⊕ Graphical Arguments: Through the use of Penrose Diagrams --the most commonly used space-time maps in General Relativity-- I will show that the toroid is not only intuited from continuous deformations of the diagram, but even seems to suggest simple explanations for the timelike closed curves and infinite parallel universes "predicted" by classical theory.
Geometric and motivationals but especially graphics arguments are presented concerning a posible ... more Geometric and motivationals but especially graphics arguments are presented concerning a posible generalization to the Black Hole (BH) model. The propousals are highly linked (i think) with the spinorial formalism. As a first step, we study the BH perturbations l = 0 and l = 1 in a tridimensional version of the Penrose-Carter diagram.
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* Se puede leer en su idioma original aquí
This conjecture, which intends to be located in the origins of General Relativ-ity, needs a correct definition of the existent here called "toroidal phenomenon". That is to say, we will have to pause a moment in the assumptions about space-time that we seek to question. Modesty aside, let's think of as an analogy in Einstein's effort to convince the scientific community that Space and Time were not two independent existents, but that one could transform one into the other according to the observer. That questioning, of the ontological type, will be the branch of this work that I would most like to emphasize.
As I have not known how to have the mathematical capabilities-or luck-to find a "perihelion of Mercury" that gives experimental value to the topological proposal that I seek to present, what I will do instead will be to analyze the conjecture using three "metaphysical frames of references", in three independent sections, hoping to convince "by convergence" (or, by insistence...):
⊕ Epistemological arguments: I will present the "toroidal phenomena" as a "mode of resonance" (or, adapting Bruno Latour, a "mode of existence" [1]) of a universe that I will assume infinitely complex.
⊕ Geometric Arguments: I will draw on a known result [2][3][4] that relates the first non-spherical mode of a non-rotating black hole perturbation with a slowly rotating black hole. This small step between one space-time and another, which turns out to be topologically identifiable with the boundary figure between a a sphere and a toroid, will be the cornerstone on which the proposed generalization will be based.
⊕ Graphical Arguments: Through the use of Penrose Diagrams --the most commonly used space-time maps in General Relativity-- I will show that the toroid is not only intuited from continuous deformations of the diagram, but even seems to suggest simple explanations for the timelike closed curves and infinite parallel universes "predicted" by classical theory.
* Se puede leer en su idioma original aquí
This conjecture, which intends to be located in the origins of General Relativ-ity, needs a correct definition of the existent here called "toroidal phenomenon". That is to say, we will have to pause a moment in the assumptions about space-time that we seek to question. Modesty aside, let's think of as an analogy in Einstein's effort to convince the scientific community that Space and Time were not two independent existents, but that one could transform one into the other according to the observer. That questioning, of the ontological type, will be the branch of this work that I would most like to emphasize.
As I have not known how to have the mathematical capabilities-or luck-to find a "perihelion of Mercury" that gives experimental value to the topological proposal that I seek to present, what I will do instead will be to analyze the conjecture using three "metaphysical frames of references", in three independent sections, hoping to convince "by convergence" (or, by insistence...):
⊕ Epistemological arguments: I will present the "toroidal phenomena" as a "mode of resonance" (or, adapting Bruno Latour, a "mode of existence" [1]) of a universe that I will assume infinitely complex.
⊕ Geometric Arguments: I will draw on a known result [2][3][4] that relates the first non-spherical mode of a non-rotating black hole perturbation with a slowly rotating black hole. This small step between one space-time and another, which turns out to be topologically identifiable with the boundary figure between a a sphere and a toroid, will be the cornerstone on which the proposed generalization will be based.
⊕ Graphical Arguments: Through the use of Penrose Diagrams --the most commonly used space-time maps in General Relativity-- I will show that the toroid is not only intuited from continuous deformations of the diagram, but even seems to suggest simple explanations for the timelike closed curves and infinite parallel universes "predicted" by classical theory.