General Relativity Keeps Revealing Unexpected Spacetime Geometries That Go Far Beyond Everyday Intuition. In 1988, Kip Thorne and Michael Morris described a traversable Wormhole geometry that strangely connects two distant regions of Spacetime without an event horizon or central singularity. No traversable Wormhole has ever been observed. Within General Relativity, though, these solutions are mathematically valid if Spacetime is supported by exotic stress-energy that violates classical energy conditions. It's a solution Einstein’s field equations allow, but nature has not confirmed. #Einstein# #GeneralRelativity# #Wormholes# #Spacetime# #Physics# #Relativity#

In March, we released benchmark numbers alongside SpacetimeDB 2.0. After a thorough investigation, we discovered a serious error in SpacetimeDB which caused our results to be misleading. We would like to sincerely apologize to our community. Read the full article:

Oscillatory Quadrupole Distortions A direct visualization of the h₊ and hₓ polarization modes of gravitational waves propagating through curved spacetime around a black hole.

Quantum Matter Can Collapse Into Stellar-Like Structures. Take the same underlying system as the previous phase-helicoid scene we just posted, but now we stop looking at phase geometry and focus directly on how the density evolves under self-gravity. We note that self-attracting quantum waves do not always spread out. Under Schrödinger-Poisson dynamics, the density begins to cluster into bright gravitational condensations, forming turbulent filaments, rotating cores, and star-like structures driven entirely by the wavefunction’s own gravity. Result looks less like particles moving through space and more like Spacetime teaching a quantum fluid how to organize itself. #QuantumPhysics# #WaveFunction# #SchrodingerEquation# #Astrophysics# #ComputationalPhysics# #Mathematics# #Physics#

Bernhard Riemann’s 1854 breakthrough proved that geometry isn't just about flat planes: it’s about the intrinsic curvature of space itself. This image perfectly breaks down the three fundamental geometries that govern our universe: > Zero Curvature (Euclidean): The classic flat plane. Parallel lines never meet, and triangle angles sum exactly to 180°. > Positive Curvature (Elliptical): Think of a sphere. Lines eventually intersect, and triangles "bulge," exceeding 180°. > Negative Curvature (Hyperbolic): A saddle-like surface where lines diverge rapidly, and triangle angles sum to less than 180°. By treating these surfaces as "manifolds," Riemann provided the mathematical framework that Albert Einstein later used to describe the warping of spacetime in General Relativity.

The earliest records of mankind’s awareness of π are to be found among the Babylonians and Egyptians. Some four thousand years ago, they knew about π as the ratio of the circumference of a circle to its diameter. The Babylonians gave the value of π as 25⁄8, while the Egyptians used (4⁄3)⁴, which works out to be 256⁄81. It is amazing that the Babylonian value is only 0.5% off the correct value of π, while the Egyptian estimate is 0.6% off. Today, students in elementary schools routinely use the estimate of 22⁄7 for π, which despite its simplicity is only 0.04% off its correct value. This estimate is attributed to the great Greek mathematician and physicist Archimedes (287–212 BC). Yes, he is the one who ran naked in the streets and shouted “Eureka” after discovering the principle of displacement of water. A more accurate approximation of π, but still a simple ratio, is 355⁄113. This gives π accurate to six decimal places. π is also essential for calculating many properties of curved figures and objects: Area of a circle = πR² (R is the radius) Surface area of a sphere = 4πR² Volume of a sphere = (4⁄3)πR³ Surface area of a hollow cylinder = 2πRH (H is the height of the cylinder) Volume of a cylinder = πR²H This simple number, π, has proven to be an extremely important universal constant that finds applications in many branches of mathematics, science, and technology, beginning with the simple circle and sphere. At the other extreme of complexity, π also appears in one of Albert Einstein’s field equations for his theory of general relativity (1916), which describes mathematically how gravity arises from the curvature of space-time: Rₐᵦ − ½Rgₐᵦ = (8πG⁄c⁴)Tₐᵦ

[📷] 𝑺𝒂𝒎𝒆 𝑻𝒊𝒎𝒆 𝑩𝒆𝒉𝒊𝒏𝒅 𝑻𝒉𝒆 𝑺𝒄𝒆𝒏𝒆𝒔 ⌜ ⌝ 🕡 ⌞ ⌟ #AM8IC# #엠빅# #SameTime# #KirkoBangz# #ChrisBrown# #ROUX_Choreography#

‘Date Night (Same Time)’ Performance by AM8IC (엠빅) | ROUX Choreography 🔗 #AM8IC# #엠빅# #SameTime# #KirkoBangz# #ChrisBrown# #ROUX_Choreography#

AM8IC - ‘Date Night (Same Time)’ & ‘Buying Time’ Performance Video | Behind The Scenes 🔗 #AM8IC# #엠빅# #エムビック# #SameTime# #ROUX_Choreography# #BuyingTime#