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25 July 2026
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12 June 2026
A 1971 experiment flew four atomic clocks around the world on commercial airliners 10JUN26
THIS is truly a fascinating article written so all can understand. From Space Daily.....
A 1971 experiment flew four atomic clocks around the world on commercial airliners — first heading east, then heading west — and when the clocks were brought home and compared with stationary clocks at the U.S. Naval Observatory, they were measurably out of sync, in the first direct demonstration that time itself moves at slightly different rates depending on how fast you are traveling, exactly as Einstein had predicted half a century earlier
The experiment began with a back-of-the-envelope calculation. According to the Wikipedia reference on the Hafele-Keating experiment, Joseph C. Hafele, a physicist at Washington University in St. Louis, was preparing notes for a physics lecture in 1969 when he worked out that an atomic clock placed on a commercial airliner should be precise enough to detect the relativistic time dilation effects that Albert Einstein had predicted more than half a century earlier. Hafele spent the following year unsuccessfully trying to obtain funding for the experiment, until he gave a talk on the topic in 1970 and was approached afterward by Richard E. Keating, an astronomer at the US Naval Observatory in Washington who worked with atomic clocks professionally. Together, Hafele and Keating obtained $8,000 in funding from the Office of Naval Research — one of the cheapest tests of general relativity ever conducted — and arranged for one of the most famous experiments in 20th-century physics.
Of the $8,000 budget, $7,600 was spent on round-the-world airline tickets. The two men needed seats for themselves and seats for their instruments: four HP 5061A cesium-beam atomic clocks, each about the size of a large suitcase. The clocks needed their own seats because they were too large and too sensitive to be stowed in cargo. The ticket booking forms accordingly listed “Mr. Clock” as the passenger in two seats on each flight. On 4 October 1971, Hafele, Keating, and four atomic clocks boarded commercial flights heading east from Washington and began an eastward circumnavigation of the Earth. The trip lasted 65.4 hours of which 41.2 hours were spent actually in flight. The clocks were returned to the Naval Observatory and compared with the stationary reference clocks. They were then flown again, this time westward, from 13 to 17 October 1971, in a journey that lasted 80.3 hours. After this second trip, they were returned to the Naval Observatory and compared a second time.
What the clocks showed
The published results in Science, in July 1972, were striking. According to the original Hafele-Keating prediction paper, special relativity and general relativity, taken together, predicted that the clocks should have lost approximately 40 nanoseconds during the eastward trip and gained approximately 275 nanoseconds during the westward trip, relative to the stationary clocks at the Naval Observatory. The actual measurements showed losses of 59 nanoseconds on the eastward leg and gains of 273 nanoseconds on the westward leg. The eastward result agreed with the prediction within experimental uncertainty; the westward result agreed almost exactly. The clocks that had travelled around the world had run at measurably different rates than the clocks that had stayed in Washington, and the differences were of the magnitude and direction that Einstein’s theory predicted.
The asymmetry between the eastward and westward results — losing 59 nanoseconds in one direction and gaining 273 in the other — is one of the more counterintuitive aspects of the experiment. Both flights covered roughly the same distance at roughly the same speed at roughly the same altitude. If only the velocity of the aircraft mattered, the two flights should have produced identical effects. But the relevant velocity for relativistic calculations is not the velocity of the plane relative to the ground; it is the velocity of the plane relative to a non-rotating reference frame centred on the Earth. The Earth itself rotates eastward at approximately 1,600 kilometres per hour at the equator. An aircraft flying east adds its velocity to the Earth’s rotational velocity, producing a larger total velocity in the non-rotating frame. An aircraft flying west subtracts, producing a smaller velocity. The eastward clocks therefore experienced larger time dilation due to special relativity than the westward clocks, and this effect was what produced the directional asymmetry in the measurements.
Two effects, not one
The Hafele-Keating experiment did not test only special relativity. It tested both special and general relativity simultaneously, because each of the two theories predicts a different time-dilation effect, and the experimental setup made both effects observable. Special relativity, the 1905 theory, predicts that clocks moving faster relative to an inertial reference frame run slower than clocks at rest. This is the velocity-based effect responsible for the directional asymmetry. General relativity, the 1915 theory, predicts that clocks at higher gravitational potential — farther from a massive object — run faster than clocks at lower potential. Aircraft at 35,000 feet are slightly farther from the centre of the Earth than ground-based clocks, and therefore should run slightly faster.
The two effects partially cancel each other and partially add, depending on direction. According to the HyperPhysics reference on the experiment, on the eastward flight, the special relativity effect dominated: the clocks ran slower because they were moving fastest in the non-rotating frame. On the westward flight, the general relativity effect dominated: the gravitational speed-up from being at altitude was larger than the velocity-based slowdown, because the westward velocity in the non-rotating frame was relatively small. The combined predictions of both theories matched the observed results to within about 10 percent on the eastward trip and within about 3 percent on the westward trip — confirming both Einstein’s 1905 theory and his 1915 theory in a single experimental run with macroscopic, manufactured devices that could be inspected before and after by anyone.
Why this mattered
Relativity had been experimentally confirmed before 1971. The Ives-Stilwell experiment in 1938 had tested special relativistic time dilation using hydrogen ion beams. The Rossi-Hall experiment in 1941 had confirmed the predicted lifetimes of cosmic-ray muons. Eclipses observed in 1919 by Arthur Eddington had confirmed general relativity’s prediction of light deflection by gravity. By the late 1960s, the basic correctness of both theories was accepted in mainstream physics. But all of the confirmations to date had been either indirect, requiring particle accelerators or astronomical observations, or extremely small-scale, involving individual particles rather than ordinary objects. The Hafele-Keating experiment was the first time that macroscopic, manufactured devices — clocks of the kind that any laboratory could in principle build and operate — had been demonstrated to run at measurably different rates under conditions consistent with relativistic predictions.
The practical implications of Hafele-Keating became apparent two decades later when the Global Positioning System was deployed for civilian use. According to a 2021 commemorative document published by the US Naval Observatory on the 50th anniversary of the experiment, GPS satellites carry onboard atomic clocks that must account for both special and general relativistic effects to remain synchronised with ground-based reference clocks. The satellites’ clocks run approximately 7 microseconds per day slow due to special relativity (because they are moving at roughly 14,000 kilometres per hour relative to ground stations) and approximately 45 microseconds per day fast due to general relativity (because they are 20,000 kilometres above the Earth’s surface, in lower gravitational potential). The net effect is approximately 38 microseconds per day faster than ground clocks. Without correcting for both effects, GPS positions would drift by approximately 10 kilometres per day, and the system would be useless for navigation within hours of being switched on.
The experiment that fit on an airline ticket
The Hafele-Keating experiment remains a kind of touchstone in the experimental physics community, for reasons that go beyond its specific scientific contribution. It demonstrated that one of the most fundamental and counterintuitive predictions in physics — that time itself runs at different rates depending on motion and gravity — could be confirmed using off-the-shelf commercial technology, on regularly scheduled airline flights, for less than the cost of a single graduate-student stipend. The atomic clocks involved were standard laboratory equipment of the era. The flights were ordinary commercial round-the-world routes. The reference clocks were already operating at the Naval Observatory. The whole experiment was, in a sense, an exercise in seeing what was already possible if someone bothered to look.
Joseph Hafele eventually left academic physics and spent the latter part of his career teaching at a private school. Richard Keating remained at the Naval Observatory for the rest of his working life. Their joint experiment has been reproduced many times since 1971, with progressively higher-precision atomic clocks and progressively more demanding experimental conditions. The basic result has been confirmed every time. Time runs at different rates depending on how fast you are travelling and where you are sitting in a gravitational field. The effects are tiny by the standards of human experience — nanoseconds per round-the-world trip — but they are large enough to detect, large enough to matter for satellite navigation, and large enough to confirm, with macroscopic instruments built by human beings, that Einstein’s account of how time works is correct in the literal physical sense.
24 September 2025
VERSE AND VOICE FROM SOJOURNERS 23SEP25
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13 December 2014
16 January 2014
40 more maps that explain the world 13JAN14
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By Max Fisher
1. Where the world's people live, by economic status
2. How humans spread across the world
Human beings first left Africa about 60,000 years ago in a series of waves that peopled the globe. This map shows where those waves of migration went and when they occurred (the "40K" over Europe means humans arrived there about 40,000 years ago). You can see that humans have the most history in the Middle East, India and of course Africa itself (the map does not show the much longer history of migration within Africa). We are relative newcomers to the Americas, one of the reasons it has not until very recently been as densely populated as other parts of the world.
3. When the Mongols took over the known world
The Mongol conquests are difficult to fathom. Although their most important technology was the horse, they conquered much of the known world from China to Europe, a series of wars that killed tens of millions of people, then a substantial chunk of the world's population. The Mongols also established what may well have been the largest empire in history until the British surpassed them six long centuries later. It's difficult to understate how much we still feel their impact today; the country we know of today as Iraq has never fully recovered from the 1258 sacking of Baghdad, which until then had been a center of global wealth and knowledge.
4. When Spain and Portugal dominated the world
This map shows the Spanish and Portuguese empires at their height. They didn't hold all of this territory concurrently, but they were most powerful from 1580 to 1640, when they were politically unified. Portugal would later pick up more territory in Africa, not shown on the map. We often forget that Spain controlled big parts of Europe, in Italy and the Netherlands. In the Middle Ages, Spain and Portugal were so powerful that they signed a set of treaties literally dividing up the globe between them. They became so rich so quickly that their trade with the Ottoman Empire, perhaps the other great imperial power of the time, filled the Ottoman economy with more gold than it could handle and plunged it economy into an inflationary crisis so severe that the empire never fully recovered.
5. Major shipping routes in the colonial era
6. Actual European discoveries
Americans have mostly come around to accept that, despite what our grade school teachers may have told us, Europeans did not "discover" America; the original arrivals had done that 15,000 years earlier. But Europeans did discover lots of land that had never been before seen by human eyes. You can, embedded in this map, see successive waves of European exploration: first the Portuguese, then the Spanish, then the British and much later the Americans. The map's creator, the always-insightful Bill Rankin, writes, "this map particularly underscores the maritime expertise of Pacific Islanders. Unlike the islands of the Atlantic and Indian Oceans, nearly all of the Pacific was settled by the 14th century."
7. How countries compare on economic inequality
8. If the polar ice caps completely melted
9. Where the world's 30 million slaves live
10. Our globalized economy: What it takes to make nutella
11. Where populations are growing and shrinking
12. Walls of the world
13. The Arctic land grab
14. Who wins Nobel prizes (and who doesn't)
15. The 17 countries that could have housing bubbles
16. The happiest and least happy countries
17. All terror attacks worldwide in 2012
THE AMERICAS
18. North America's languages, before colonialism
19. Where place names come from in the Americas
This map shows the origin language for place names in the Americas. For example, the word "Texas" comes from the Caddoan language, of the Caddo people who lived in what is today East Texas. It's a fascinating lens into the Americas' history, of which Europeans arrived or conquered where, as well as a legacy of the people who lived here first. Bill Rankin, the map's creator, has this chestnut: "'Huron' derives from a French slur for the hairy natives (it shares a root with 'hirsute.')"
20. American ancestry by county
21. What territory Mexican drug cartels control
AFRICA
22. The empires of Africa, before colonialism
This map of indigenous African empires is not exhaustive. It spans two thousands years from 500 B.C. to 1500 A.D., so these empires were not concurrent; some existed centuries apart. But it shows that, like with North America and perhaps even more so, sub-Saharan Africa was rich with vast and powerful empires long before the Europeans arrived. (One of the biggest, Ethiopia, was actually unusually and perhaps uniquely successful in resisting European imperialism.) The Songhai Empire, at its peak in the 14th century, was a global center of culture and learning, based in the still-famous mosques of Timbuktu.
23. What Africa might look like if it had never been colonized
Historical counterfactuals aren't much more than informed speculation, but this one is still awfully interesting. Made by the Swedish artist Nikolaj Cyon, the map asks what Africa would look like today if colonialism had never happened. (Africa's present-day borders were determined largely by colonialism, which continues to create lots of very big problems.) Cyon drew these boundaries based on a study of political and tribal units in 1844, the eve of Europe's "scramble for Africa." He oriented it with south at the top to subvert the traditional Europe-on-top orientation. You can see it here with north on the top, if that's easier for you to read.
24. The amazingly diverse languages of Africa
EUROPE
25. Europe, as mapped by tweets
26. How the Barbarian Invasions reshaped Europe
27. When the Vikings spread across Europe
28. World War II in Europe, day by day
This one speaks for itself and is a fascinating watch; there are countless stories embedded in these frames. If you enjoyed this, I would encourage you to watch this version that includes Asia and the Pacific as well.
29. The word for "bear" in European languages
30. People who die trying to immigrate to Europe
This shows where and how people die trying to migrate into Europe. In October, when 300 would-be African immigrants to Europe died when their boat capsized off the Italian island of Lampedusa, it was seen as a sign of how dangerous and deadly migration paths into Europe had become. It's a result of wide economic disparity between Africa and Europe as well as European policies to prevent immigration. It's an ugly issue and, as this map shows, it kills many, many people every year.
THE MIDDLE EAST
31. The Islamic states of the world, from 1450 to today
32. The 1916 European treaty to carve up the Middle East
In 1916, French, British and Russian diplomats signed an agreement to divide up the Ottoman Empire into areas of direct control and "spheres of influence." It's easy to overstate how big of a role this treaty actually played in designing modern Middle East borders; in many ways, those divisions had already organically occurred during Ottoman rule. Still, it did fall along the Middle East's problematic present-day borders, and you hear about that a lot today, so here it is.
33. The religious lines dividing today's Middle East
34. How the 1948 Arab-Israeli war helped lead to Israel's borders
ASIA
35. Percentage of Indian homes with toilets
36. The languages of China and the surrounding area
37. The WWII firebombing of Japan
This map shows each Japanese city that was bombed during World War II, an American city of equivalent size, and the percentage of the city estimated destroyed by the bombings. All Americans learn about the two atomic bombs the U.S. dropped on Japan at the end of the war, and we're starting to become more aware of the firebombing campaigns that wiped out much of Germany, including civilians. But we are nowhere near confronting the U.S. firebombing of Japan, which killed several times as many people as the atomic bombs and devastated Japan's wooden-constructed cities. By the time the war ended, 30 percent of the residents in Japan's largest 60 cities were homeless.
38. Territorial claims in the South China Sea
It's no secret that China claims islands and maritime territory in the South China Sea that other countries see as theirs. But this map shows just how assertive China's claim is – Beijing claims everything in red, a giant scoop of an area way, way beyond Chinese soil. China's neighbors are very, very conscious of feeling a bit bullied, and this map shows why.
39. The naval firepower in the Pacific
The Pacific Ocean, after being set on fire by World War II, is still heavily militarized. Japan, even though its U.S.-imposed constitution bans warfare and codifies pacifism, still has a pretty substantial navy. So does Russia, a legacy of the Cold War. And China's is, of course, growing substantially. All of this combines with rising nationalism in East Asia, China's not-misguided fear that the United States is attempting to contain them and growing concern about China itself.
40. Every airline flight in the world over 24 hours




