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Categories: Mathematics: General, Space: Astrophysics

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     (via sciencedaily.com)     Original source 

In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a work in progress. Researchers discovered a mathematical expression for the blockchain trilemma. In the formula for Proof of Work-based blockchains, including Bitcoin, the product of the three terms--scalability, security, and decentralization--is 1.

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Europa and Enceladus, icy moons of Jupiter and Saturn respectively, have evidence of oceans beneath their crusts. A NASA experiment suggests -- if these oceans support life -- signatures of that life in the form of organic molecules (like amino acids and nucleic acids) could survive just under the surface ice despite the harsh, ionizing radiation on these worlds. If robotic landers were to go to these moons to look for life signs, they would not have to dig very deep to find amino acids that have survived being altered or destroyed by radiation.

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Europe's next big space mission -- a telescope that will hunt for Earth-like rocky planets outside of our solar system -- is on course to launch at the end of 2026. PLATO, or PLAnetary Transits and Oscillations of stars, is being built to find nearby potentially habitable worlds around Sun-like stars that we can examine in detail.

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So far, only about ten intermediate-mass black holes have been discovered in the entire universe. The newly identified black hole causes surrounding stars in a cluster to move in an unexpectedly orderly way.

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In an era when the creation of artificial intelligence (AI) images is at the fingertips of the masses, the ability to detect fake pictures -- particularly deepfakes of people -- is becoming increasingly important. So what if you could tell just by looking into someone's eyes? That's the compelling finding of new research which suggests that AI-generated fakes can be spotted by analyzing human eyes in the same way that astronomers study pictures of galaxies.

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Tantalizing evidence of potential dark matter objects has been detected with the help of the Universe's 'timekeepers'. These pulsars -- neutron stars which rotate and emit lighthouse-like beams of radio waves that rapidly sweep through space -- were used to identify mysterious hidden masses. Pulsars earned their nickname because they send out electromagnetic radiation at very regular intervals, ranging from milliseconds to seconds, making them extremely accurate timekeepers.

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Astronomers have uncovered what appear to be 21 neutron stars in orbit around stars like our Sun. The discovery is surprising because it is not clear how a star that exploded winds up next to a star like our Sun.

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A strange 'garden sprinkler-like' jet coming from a neutron star has been pictured for the first time. The S-shaped structure is created as the jet changes direction due to the wobbling of the disc of hot gas around the star -- a process called precession, which has been observed with black holes but, until now, never with neutron stars.

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An international study reveals the extreme atmospheric conditions on the celestial objects, which are swathed in swirling clouds of hot sand amid temperatures of 950C. Using NASA's powerful James Webb Space Telescope (JWST), researchers set out to capture the weather on a pair of brown dwarfs -- cosmic bodies that are bigger than planets but smaller than stars.

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Researchers announced the latest findings from the James Webb Space Telescope (JWST) of the supernova remnant, Cassiopeia A (Cas A). These observations of the youngest known core collapse supernova in the Milky Way provide insights into the conditions that lead to the formation and destruction of molecules and dust within supernova ejecta. The study's findings change our understanding of dust formation in the early universe in the galaxies detected by JWST 300 million years after the Big Bang.

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Our universe is around 13.8 billion years old. Over the vastness of this time, the tiniest of initial asymmetries have grown into the large-scale structures we can see through our telescopes in the night sky: galaxies like our own Milky Way, clusters of galaxies, and even larger aggregations of matter or filaments of gas and dust. How quickly this growth takes place depends, at least in today's universe, on a sort of wrestling match between natural forces: Can dark matter, which holds everything together through its gravity and attracts additional matter, hold its own against dark energy, which pushes the universe ever further apart?

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Two for two! A duo of interacting galaxies commemorates the second science anniversary of NASA's James Webb Space Telescope, which takes constant observations, including images and highly detailed data known as spectra. Its operations have led to a 'parade' of discoveries by astronomers around the world.

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Scientists propose a new way of implementing a neural network with an optical system which could make machine learning more sustainable in the future. In a new paper, the researchers have demonstrated a method much simpler than previous approaches.

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Galaxies avoid an early death because they have a 'heart and lungs' which effectively regulate their 'breathing' and prevent them growing out of control, a new study suggests. If they didn't, the universe would have aged much faster than it has and all we would see today is huge 'zombie' galaxies teeming with dead and dying stars. That's according to a new study that investigates one of the great mysteries of the Universe -- why galaxies are not as large as astronomers would expect.

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The International Astronomical Union defines a planet as a celestial body that orbits the sun, is massive enough that gravity has forced it into a spherical shape, and has cleared away other objects near its orbit around the sun. Scientists now recognize the existence of thousands of planets, but the IAU definition applies only to those within our solar system. The new proposed definition specifies that the body may orbit one or more stars, brown dwarfs or stellar remnants and sets mass limits that should apply to planets everywhere.

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The qualities and behavior of dark matter, the invisible 'glue' of the universe, continue to be shrouded in mystery. Though galaxies are mostly made of dark matter, understanding how it is distributed within a galaxy offers clues to what this substance is, and how it's relevant to a galaxy's evolution.

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Most known black holes are either extremely massive, like the supermassive black holes that lie at the cores of large galaxies, or relatively lightweight, with a mass of under 100 times that of the Sun. Intermediate-mass black holes (IMBHs) are scarce, however, and are considered rare 'missing links' in black hole evolution.

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A international team of astronomers has made an exciting discovery about the temperate exoplanet LHS 1140 b: it could be a promising 'super-Earth' covered in ice or water.

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A mysterious remnant from a rare type of supernova recorded in 1181 has been explained for the first time. Two white dwarf stars collided, creating a temporary 'guest star,' now labeled supernova (SN) 1181, which was recorded in historical documents in Japan and elsewhere in Asia. However, after the star dimmed, its location and structure remained a mystery until a team pinpointed its location in 2021. Now, through computer modeling and observational analysis, researchers have recreated the structure of the remnant white dwarf, a rare occurrence, explaining its double shock formation. They also discovered that high-speed stellar winds may have started blowing from its surface within just the past 20-30 years. This finding improves our understanding of the diversity of supernova explosions, and highlights the benefits of interdisciplinary research, combining history with modern astronomy to enable new discoveries about our galaxy.

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Post-COVID research has extensively focused on the efficacy of internal travel restrictions and cross-border travel has received less attention due to challenges in accessing quality data. In a major multidisciplinary collaboration effort across Finland, Sweden, Norway, and Denmark, a group of researchers -- including mathematicians, physicists and computer scientists -- have published a pioneering study on the spread of infections across Nordic borders from spring until the end of 2020. The report sheds light on the efficacy of cross-border travel restrictions, helping us better understand which measures actually make a difference.