Ser Open Source, é simplesmente a essência de minha existência.
Eu vivo, para isso.
Eu amo programar por programar, para criar coisas que tornem a vida das pessoas, bem melhores do que podem ser agora e assim, viver bem melhor.
E é para isso que eu quero viver.
Non-Rotating Black Hole Through the Lens of a Polarizable Vacuum ✍️
Almost everyone learns about black holes by exploring how gravity bends space and time around massive objects. Things follow curved paths because the geometry of space itself is distorted. This concept is part of Einstein's general relativity, which is highly accurate but tough to visualize since no human has evolved to comprehend four-dimensional curved geometry. This diagram offers a different but mathematically equivalent way of understanding the same physics. It treats gravity as optics rather than as geometry.
The main idea is that the empty space around a black hole behaves like a glass lens or a body of water. It is a medium with properties that change from place to place, bending light and matter just like any variable optical medium. Far from the black hole, the vacuum acts normally. However, as you get closer, it becomes increasingly "optically denser," causing everything to bend toward the black hole. This is similar to how light bends toward a denser region when it enters water, much like the shimmering mirages seen above hot roads, where heated air bends light from the sky downward, making it appear as water on the surface.
The colored curved paths in the diagram illustrate this beautifully. The red path at the top passes the black hole at the greatest distance and bends slightly, as light does when it grazes the edge of a thin lens. The green paths pass closer and curve more noticeably. The blue path approaches very closely and bends dramatically, nearly looping around the black hole before escaping. There is a critical distance, known as the impact parameter, below which light cannot escape no matter what angle it approaches from. This critical distance defines the size of the black hole's shadow the dark circular region surrounded by a glowing ring that the Event Horizon Telescope captured in its famous 2019 photo of the black hole in galaxy M87. The bending of light by gravity is exactly twice what Newton's gravity would predict. This was dramatically confirmed in 1919 when Arthur Eddington measured stars near the Sun during a solar eclipse and found them displaced by exactly twice the Newtonian amount, making Einstein famous worldwide.
The diagram labels four critical boundaries, nested within each other like Russian dolls. Each boundary represents a significant change in the physics. The outermost is the ergosphere, a region around rotating black holes where spacetime drag is so extreme that nothing can remain still, regardless of how powerful its engines are. Moving inwards is the event horizon, the point of no return where the effective speed of light drops to zero from the perspective of a distant observer, preventing any information from escaping outward. Further in is the photon sphere, an unstable circular orbit where light can theoretically loop around the black hole indefinitely. This creates the bright ring seen in real black hole images, but any slight disturbance will send the light either spiraling in or escaping outward. At the very center is the singularity, where all known physics fails and density becomes infinite. This is widely recognized as the point where general relativity indicates its own breakdown, and a future theory of quantum gravity must take over
Between the event horizon and the outside universe lies the innermost stable circular orbit, where the accretion disk of infalling matter ends. Its location varies dramatically depending on whether the black hole spins. A spinning black hole allows stable orbits much closer to its surface compared to a non-rotating one. This makes spinning black holes much more efficient at turning infalling matter into radiation than nuclear fusion could achieve. The key takeaway from the diagram is that whether you describe all this through curved spacetime or through an optical medium with changing refractive properties, you get the same predictions for every observable quantity
Me crucé con esto, Messi está casi 6 desviaciones estándar por encima de la media de delanteros de grandes ligas en cuanto a goles y asistencias en 90 minutos. Estadísticamente es prácticamente imposible que vivas para ver a alguien así
Me crucé con esto, Messi está casi 6 desviaciones estándar por encima de la media de delanteros de grandes ligas en cuanto a goles y asistencias en 90 minutos. Estadísticamente es prácticamente imposible que vivas para ver a alguien así
Mass doesn't pull on space. It reshapes it. According to general relativity, every star, planet, and galaxy curves the fabric of spacetime around it, guiding the motion of matter and light. Gravity is not a force acting through space, but a consequence of the geometry of space and time itself.
The metric tensor defines geometry on curved surfaces.
It surface M with a yellow coordinate grid. Arrows at the point indicate the basis tangent vectors ∂/∂x¹ and ∂/∂x².
The g_ij components are their dot products:
g₁₁ = ∂/∂x¹ ⋅ ∂/∂x¹
g₁₂ = ∂/∂x¹ ⋅ ∂/∂x²
g₂₁ = ∂/∂x² ⋅ ∂/∂x¹
g₂₂ = ∂/∂x² ⋅ ∂/∂x²
These encode lengths and angles intrinsically. Used in real life for spacetime modeling in general relativity and surface rendering in 3D graphics and engineering.