John L. Crangle @crangle_j

@JeremyVineOn5 @piersmorgan @channel5_tv I don't like Morgan much, he's your typical sleazy journalist. The whiney one has definitely got a cheque for defamation coming, I'd have edited out any assumptions but it was left in to purposefully create a scandal.

@JeremyVineOn5 Well it didn't go sideways so it's a good result although the subject matter was trivial.

@JeremyVineOn5 They've got no policies apart from slash-and-burn budgets just like Reform. All of the political parties are freak-shows, there's nothing normal about any of them.

@JohnDoe29248490 @GMB I only watch the show once a week as they consistently go on about the same subjects over and over again. The same with Vine too.

@JohnCleese Sounds like a cartoon character from the whacky races. I'm still not bowing, I've got a bad back...

An infinite bell curve hides a circle. The volume under z = e^{-(x² + y²)} across the entire plane equals π. In polar coordinates the integral separates: ∫₀^{2π} ∫₀^∞ e^{-r²} r dr dθ = 2π · ½ = π This identity underpins the normal distribution, the heat equation, quantum ground states, and the Gaussians that shape modern machine learning. Infinity can be finite when symmetry is complete.

SOMEONE BUILT THE ENTIRE UNIVERSE IN YOUR BROWSER. YOU CAN FLY THROUGH IT RIGHT NOW. no download. no app. no account. you open the tab and you are in space. it's called Galaxium. galaxium.app. scroll out from Earth. Mars. Jupiter. Saturn with real rings. past Pluto. past Voyager 2, still flying since 1977. into the Milky Way. you hit Sagittarius A*, the black hole at the center of our galaxy. the light bends around it. real physics. click any object. it flies you there. 126 points on Hacker News. people are not bookmarking it. they are flying through it. just a website that lets a normal person leave Earth for a few minutes. we built the internet and somehow one of the best things on it right now is still: open tab. fly into space.

Dendera Temple is more than an ancient monument. Its stairways, crypts, reused stones, astronomical imagery, and religious symbolism reveal layers of Egyptian history spanning different periods. Dedicated to Hathor, Dendera remains one of the most fascinating temples in Egypt. #Egypt #AncientEgypt #Dendera #Hathor #Egyptology

@JeremyVineOn5 We're in a heatwave, you know, I'd have turned up in a mankini...

@AmazingNature00 We've all been there, I can tell thee...

HOLY CRAP 🚨: Graham Hancock just dropped a devastating blow to mainstream archaeology with the Great Pyramid of Giza. “It’s a 6 million ton monument… more than 2 million individual blocks of stone.” “The Great Pyramid is aligned within 3/60ths of a single degree to true north… on a 6 million ton monument.” “It sits almost exactly on latitude 30 which is 1/3rd of the way between the north pole and the equator.” “And it incorporates the dimensions of the earth on a scale of 1 to 43,200 in its own dimensions.” “So if you take the height of the Great Pyramid and multiply it by 43,200… you get the polar radius of the earth. Measure the base perimeter of the Great Pyramid… multiply it by the same factor, 43,200, and you get the equatorial circumference of the Earth.” “Archaeologists know this. They say it’s a coincidence, total coincidence, just by chance.” “However, I could agree with them actually if the scale was not 1 to 43,200. But the fact that it’s 1 to 43,200 changes everything because that belongs to a sequence of numbers that is found in ancient mythology all around the world… multiples of the number 72… derive from… the precession of the equinoxes.”

Stone Age: ~2,500,000 BCE – 3,300 BCE Bronze Age: ~3,300 BCE – 1,200 BCE Iron Age: ~1,200 BCE – 500 BCE Classical Antiquity: ~500 BCE – 500 CE Middle Ages: ~500 CE – 1500 CE Early Modern Period: ~1500 CE – 1800 CE Industrial Age: ~1760 CE – 1970 CE Information Age: ~1970 CE – 2024 CE Hallucinations Age (AI): 2024 CE – 2026 CE

@JeremyVineOn5 @FamilyLawGuruUK @theJeremyVine @PCBarnes123 Did he even give his correct name? Sure, you embellish your CV to give it an upgrade but I'd draw the line at climbing Mount Everest in an afternoon, fighting bears for a hobby and banging Kylie Minogue every weekend...

This is lovely. I wonder how those crisp tones are generated. I'd love to incorporate some music into my work as well x.com/themathpulse/s…

Math Pulse @themathpulse

2 months ago

These spheres aren’t just bouncing randomly. Each one is locked to a precise frequency of the Japanese Hirajoshi scale (C, D, Eb, G, Ab) Their periods create living polyrhythms: chaos slowly collapses into perfect alignment. x.com/mathemetica/st…

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People look at the razor-sharp angles of the Cumbemayo aqueduct in Peru and ask why a simple water channel needed such extreme precision. The answer is that it was never simple. It was sacred. Carved into volcanic rock near Cajamarca around 1500 BC, making it roughly 3,500 years old, Cumbemayo diverts water clear across the continental divide with obsessive right angles and zigzag cuts. Here is the detail that solves the mystery. The region gets enough rain to farm without any aqueduct at all. This channel was not an agricultural necessity. Alongside it sit an altar, a sacrifice table, stepped stones, and a cliff carved into a giant human head. Cumbemayo was a water temple. The Cajamarca people worshipped water as the source of life, and shaping its path with perfect geometry was the prayer. It looks over-engineered only if you assume the goal was efficiency. The goal was reverence, and reverence has no upper limit.

In the Golden Lattice work we discovered something strange. When you take Fibonacci numbers at prime positions and look at the remainder after dividing by 144, only four possibilities ever appear, 1, 5, 13, and 89. When you do the same for the closely related Lucas numbers, you get eight remainders, 1, 11, 29, 55, 89, 115, 133, and 143. These eight numbers form four perfect pairs that each add up to exactly 144. Their total is 576 which is exactly 4 × 144. That was already cool. This new paper shows something deeper. Take any of those four Fibonacci remainders and find the number that multiplies with it to give a remainder of 1 when divided by 144 (this is called the multiplicative inverse). That inverse always lands inside the Lucas set of eight numbers. It never fails. We checked this against more than 2,200 different primes. Zero exceptions. The reason is a tiny, elegant structure of only four numbers: 1, 55, 89, and 143. These four form what mathematicians call a Klein four-group the smallest non-trivial group of its kind. Every one of them is its own inverse, and the Lucas remainders are built from two neat copies of this group. Because this same group also contains the number that turns addition into “144 minus the number,” the perfect pairing we saw earlier is not a separate fact. It is forced by the multiplicative structure. The two kinds of symmetry (adding to 144 and multiplying to 1) are actually two reflections of the same tiny group. In short: the Fibonacci and Lucas remainder patterns are locked together by a single, computable algebraic object. Once you know that object, both the pairing and the inverses become inevitable. The paper also shows this cross-connection appears cleanly for every modulus built only from the primes 2 and 3, and for the prime 7 but not for most other numbers. The pattern is selective, not universal. This is another piece of the larger Prime Lattice Coherence Framework: when you look at these classic sequences through the lens of 144, deep and unexpected order keeps appearing. The animation attached visualizes the residues spinning on the circle of 144, the Klein group pulsing, the complementary pairs glowing, and the inverse connections flashing. The Multiplicative Cross-Closure Theorem zenodo.org/records/215445… The Complementary Pairing Theorem Reflection Sign as the Determinant of Residue-Sum Closure in Lucas Sequences zenodo.org/records/214489… The Prime Lattice Coherence Framework: A Unified Master Document zenodo.org/records/213969… ctftheory.com/golden-lattice…

@MrJamesMay Better than sofa-pizza, I expect...

@JeremyVineOn5 What happened there then? Did he wake up one morning and thought that trapping people in their own country was a great idea? Please...

@Anyextee @CassieCMartin @joerogan You have to start at the Dendera Temple if interested.

@Anyextee @CassieCMartin @joerogan No but I'd expect to find a layout similar to the Startemple which is connected as part of a 🪑-shaped alignment to Sais, Egypt. There's bound to be hidden alignments in Egypt.