The scientists who precisely measure the position of Earth are in a bit of trouble. Their measurements are essential for the satellites we use for navigation, communication and Earth observation every day.
But you might be surprised to learn that making these measurements – using the science of geodesy – depends on tracking the locations of black holes in distant galaxies.
The problem is, the scientists need to use specific frequency lanes on the radio spectrum highway to track those black holes.
Satellites and the services they provide have become essential for modern life. From precision navigation in our pockets to measuring climate change, running global supply chains and making power grids and online banking possible, our civilisation cannot function without its orbiting companions.
To use satellites, we need to know exactly where they are at any given time. Precise satellite positioning relies on the so-called “global geodesy supply chain”.
This supply chain starts by establishing a reliable reference frame as a basis for all other measurements. Because satellites are constantly moving around Earth, Earth is constantly moving around the Sun, and the Sun is constantly moving through the galaxy, this reference frame needs to be carefully calibrated via some relatively fixed external objects.
These black holes are the most distant and stable objects we know. Using a technique called very long baseline interferometry, we can use a network of radio telescopes to lock onto the black hole signals and disentangle Earth’s own rotation and wobble in space from the satellites’ movement.
Different lanes on the radio highway
We use radio telescopes because we want to detect the radio waves coming from the black holes. Radio waves pass cleanly through the atmosphere and we can receive them during day and night and in all weather conditions.
Radio waves are also used for communication on Earth – including things such as wifi and mobile phones. The use of different radio frequencies – different lanes on the radio highway – is closely regulated, and a few narrow lanes are reserved for radio astronomy.
However, in previous decades the radio highway had relatively little traffic. Scientists commonly strayed from the radio astronomy lanes to receive the black hole signals.
To reach the very high precision needed for modern technology, geodesy today relies on more than just the lanes exclusively reserved for astronomy.
Radio traffic on the rise
In recent years, human-made electromagnetic pollution has vastly increased. When wifi and mobile phone services emerged, scientists reacted by moving to higher frequencies.
However, they are running out of lanes. Six generations of mobile phone services (each occupying a new lane) are crowding the spectrum, not to mention internet connections directly sent by a fleet of thousands of satellites.
Today, the multitude of signals are often too strong for geodetic observatories to see through them to the very weak signals emitted by black holes. This puts many satellite services at risk.
What can be done?
To keep working into the future – to maintain the services on which we all depend – geodesy needs some more lanes on the radio highway. When the spectrum is divided up via international treaties at world radio conferences, geodesists need a seat at the table.
Other potential fixes might include radio quiet zones around our essential radio telescopes. Work is also underway with satellite providers to avoid pointing radio emissions directly at radio telescopes.
Any solution has to be global. For our geodetic measurements, we link radio telescopes together from all over the world, allowing us to mimic a telescope the size of Earth. The radio spectrum is primarily regulated by each nation individually, making this a huge challenge.
But perhaps the first step is increasing awareness. If we want satellite navigation to work, our supermarkets to be stocked and our online money transfers arriving safely, we need to make sure we have a clear view of those black holes in distant galaxies – and that means clearing up the radio highway.
To all people that live outside the US, and quite a few as well who don’t!
The Federal Reserve is the central banking system of the USA. I am going to republish most of the article that appears on WikiPedia. It is yet another example of how the United States set itself up taking the best from all around the world.
(And apologies for not posting a Picture Parade yesterday.)
ooOOoo
The Federal Reserve System (often shortened to the Federal Reserve, or simply the Fed) is the central banking system of the United States. It was created on December 23, 1913, with the enactment of the Federal Reserve Act, after a series of financial panics (particularly the panic of 1907) led to the desire for central control of the monetary system in order to alleviate financial crises.[list 1] Although an instrument of the U.S. government, the Federal Reserve System considers itself “an independent central bank because its monetary policy decisions do not have to be approved by the president or by anyone else in the executive or legislative branches of government, it does not receive funding appropriated by Congress, and the terms of the members of the board of governors span multiple presidential and congressional terms.”[11] Over the years, events such as the Great Depression in the 1930s and the Great Recessionduring the 2000s have led to the expansion of the roles and responsibilities of the Federal Reserve System.[6][12]
Congress established three key objectives for monetary policy in the Federal Reserve Act: maximizing employment, stabilizing prices, and moderating long-term interest rates.[13] The first two objectives are sometimes referred to as the Federal Reserve’s dual mandate.[14] Its duties have expanded over the years, and include supervising and regulating banks, maintaining the stability of the financial system, and providing financial services to depository institutions, the U.S. government, and foreign official institutions.[15] The Fed also conducts research into the economy and provides numerous publications, such as the Beige Book and the FRED database.[16]
The Federal Reserve System is composed of several layers. It is governed by the presidentially appointed board of governors or Federal Reserve Board (FRB). Twelve regional Federal Reserve Banks, located in cities throughout the nation, regulate and oversee privately owned commercial banks.[17] Nationally chartered commercial banks are required to hold stock in, and can elect some board members of, the Federal Reserve Bank of their region.
The Federal Open Market Committee (FOMC) sets monetary policy by adjusting the target for the federal funds rate, which generally influences market interest rates and, in turn, US economic activity via the monetary transmission mechanism. The FOMC consists of all seven members of the board of governors and the twelve regional Federal Reserve Bank presidents, though only five bank presidents vote at a time: the president of the New York Fed and four others who rotate through one-year voting terms. There are also various advisory councils.[list 2] It has a structure unique among central banks, and is also unusual in that the United States Department of the Treasury, an entity outside of the central bank, prints the currency used.[23]
The federal government sets the salaries of the board’s seven governors, and it receives all the system’s annual profits after dividends on member banks’ capital investments are paid, and an account surplus is maintained. In 2015, the Federal Reserve earned a net income of $100.2 billion and transferred $97.7 billion to the U.S. Treasury,[24] and 2020 earnings were approximately $88.6 billion with remittances to the U.S. Treasury of $86.9 billion.[25] The Federal Reserve has been criticized for its approach to managing inflation, perceived lack of transparency, and its role in economic downturns.[26][27][28]
Purpose
The primary declared motivation for creating the Federal Reserve System was to address banking panics.[6] Other purposes are stated in the Federal Reserve Act, such as “to furnish an elastic currency, to afford means of rediscounting commercial paper, to establish a more effective supervision of banking in the United States, and for other purposes”.[29] Before the founding of the Federal Reserve System, the United States underwent several financial crises. A particularly severe crisis in 1907 led Congress to enact the Federal Reserve Act in 1913. Today the Federal Reserve System has responsibilities in addition to stabilizing the financial system.[30]
Current functions of the Federal Reserve System include:[15][30]
stable prices, interpreted as an inflation rate of 2 percent per year on average[31]
moderate long-term interest rates
To maintain the stability of the financial system and contain systemic risk in financial markets
To provide financial services to depository institutions, the U.S. government, and foreign official institutions, including playing a major role in operating the nation’s payments system
To facilitate the exchange of payments among regions
Banking institutions in the United States are required to hold reserves—amounts of currency and deposits in other banks—equal to only a fraction of the amount of the bank’s deposit liabilities owed to customers. This practice is called fractional-reserve banking. As a result, banks usually invest the majority of the funds received from depositors. On rare occasions, too many of the bank’s customers will withdraw their savings and the bank will need help from another institution to continue operating; this is called a bank run. Bank runs can lead to a multitude of social and economic problems. The Federal Reserve System was designed as an attempt to prevent or minimize the occurrence of bank runs, and possibly act as a lender of last resort when a bank run does occur. Many economists, following Nobel laureate Milton Friedman, believe that the Federal Reserve inappropriately refused to lend money to small banks during the bank runs of 1929; Friedman argued that this contributed to the Great Depression.[32]
Check clearing system
Because some banks refused to clear checks from certain other banks during times of economic uncertainty, a check-clearing system was created in the Federal Reserve System. It is briefly described in The Federal Reserve System—Purposes and Functions as follows:[33]
By creating the Federal Reserve System, Congress intended to eliminate the severe financial crises that had periodically swept the nation, especially the sort of financial panic that occurred in 1907. During that episode, payments were disrupted throughout the country because many banks and clearinghouses refused to clear checks drawn on certain other banks, a practice that contributed to the failure of otherwise solvent banks. To address these problems, Congress gave the Federal Reserve System the authority to establish a nationwide check-clearing system. The System, then, was to provide not only an elastic currency—that is, a currency that would expand or shrink in amount as economic conditions warranted—but also an efficient and equitable check-collection system.
Lender of last resort
In the United States, the Federal Reserve serves as the lender of last resort to those institutions that cannot obtain credit elsewhere and the collapse of which would have serious implications for the economy. It took over this role from the private sector “clearing houses” which operated during the Free Banking Era; whether public or private, the availability of liquidity was intended to prevent bank runs.[34]
Fluctuations
Through its discount window and credit operations, Reserve Banks provide liquidity to banks to meet short-term needs stemming from seasonal fluctuations in deposits or unexpected withdrawals. Longer-term liquidity may also be provided in exceptional circumstances. The rate the Fed charges banks for these loans is called the discount rate (officially the primary credit rate).
By making these loans, the Fed serves as a buffer against unexpected day-to-day fluctuations in reserve demand and supply. This contributes to the effective functioning of the banking system, alleviates pressure in the reserves market and reduces the extent of unexpected movements in the interest rates.[35] For example, on September 16, 2008, the Federal Reserve Board authorized an $85 billion loan to stave off the bankruptcy of international insurance giant American International Group (AIG).[36]
Obverse of a Federal Reserve $1 note issued in 2009
In its role as the central bank of the United States, the Fed serves as a banker’s bank and as the government’s bank. As the banker’s bank, it helps to assure the safety and efficiency of the payments system. As the government’s bank or fiscal agent, the Fed processes a variety of financial transactions involving trillions of dollars. Just as an individual might keep an account at a bank, the U.S. Treasury keeps a checking account with the Federal Reserve, through which incoming federal tax deposits and outgoing government payments are handled. As part of this service relationship, the Fed sells and redeems U.S. government securitiessuch as savings bonds and Treasury bills, notes and bonds. It also issues the nation’s coinand paper currency. The U.S. Treasury, through its Bureau of the Mint and Bureau of Engraving and Printing, actually produces the nation’s cash supply and, in effect, sells the paper currency to the Federal Reserve Banks at manufacturing cost, and the coins at face value. The Federal Reserve Banks then distribute it to other financial institutions in various ways.[37] During the Fiscal Year 2020, the Bureau of Engraving and Printing delivered 57.95 billion notes at an average cost of 7.4 cents per note.[38][39]
Federal funds are the reserve balances (also called Federal Reserve Deposits) that private banks keep at their local Federal Reserve Bank.[40] These balances are the namesake reserves of the Federal Reserve System. The purpose of keeping funds at a Federal Reserve Bank is to have a mechanism for private banks to lend funds to one another. This market for funds plays an important role in the Federal Reserve System as it is the basis for its monetary policy work. Monetary policy is put into effect partly by influencing how much interest the private banks charge each other for the lending of these funds.
Federal reserve accounts contain federal reserve credit, which can be converted into federal reserve notes. Private banks maintain their bank reserves in federal reserve accounts.
Bank regulation
The Federal Reserve regulates private banks. The system was designed out of a compromise between the competing philosophies of privatization and government regulation. In 2006 Donald L. Kohn, vice chairman of the board of governors, summarized the history of this compromise:[41]
Agrarian and progressive interests, led by William Jennings Bryan, favored a central bank under public, rather than banker, control. However, the vast majority of the nation’s bankers, concerned about government intervention in the banking business, opposed a central bank structure directed by political appointees. The legislation that Congress ultimately adopted in 1913 reflected a hard-fought battle to balance these two competing views and created the hybrid public-private, centralized-decentralized structure that we have today.
The balance between private interests and government can also be seen in the structure of the system. Private banks elect members of the board of directors at their regional Federal Reserve Bank while the members of the board of governors are selected by the president of the United States and confirmed by the Senate.
The Federal Banking Agency Audit Act, enacted in 1978 as Public Law 95-320 and 31 U.S.C. section 714 establish that the board of governors of the Federal Reserve System and the Federal Reserve banks may be audited by the Government Accountability Office (GAO).[42]
The GAO has authority to audit check-processing, currency storage and shipments, and some regulatory and bank examination functions–though there are restrictions to what the GAO may audit. Under the Federal Banking Agency Audit Act, 31 U.S.C. section 714(b), audits of the Federal Reserve Board and Federal Reserve banks do not include (1) transactions for or with a foreign central bank or government or non-private international financing organization; (2) deliberations, decisions, or actions on monetary policy matters; (3) transactions made under the direction of the Federal Open Market Committee; or (4) a part of a discussion or communication among or between members of the board of governors and officers and employees of the Federal Reserve System related to items (1), (2), or (3). See Federal Reserve System Audits: Restrictions on GAO’s Access (GAO/T-GGD-94-44), statement of Charles A. Bowsher.[43]
The board of governors in the Federal Reserve System has a number of supervisory and regulatory responsibilities in the U.S. banking system, but not complete responsibility. A general description of the types of regulation and supervision involved in the U.S. banking system is given by the Federal Reserve:[44]
The Board also plays a major role in the supervision and regulation of the U.S. banking system. It has supervisory responsibilities for state-chartered banks[45] that are members of the Federal Reserve System, bank holding companies(companies that control banks), the foreign activities of member banks, the U.S. activities of foreign banks, and Edge Act and “agreement corporations” (limited-purpose institutions that engage in a foreign banking business). The Board and, under delegated authority, the Federal Reserve Banks, supervise approximately 900 state member banks and 5,000 bank holding companies. Other federal agencies also serve as the primary federal supervisors of commercial banks; the Office of the Comptroller of the Currency supervises national banks, and the Federal Deposit Insurance Corporation supervises state banks that are not members of the Federal Reserve System.
Some regulations issued by the Board apply to the entire banking industry, whereas others apply only to member banks, that is, state banks that have chosen to join the Federal Reserve System and national banks, which by law must be members of the System. The Board also issues regulations to carry out major federal laws governing consumer credit protection, such as the Truth in Lending, Equal Credit Opportunity, and Home Mortgage Disclosure Acts. Many of these consumer protection regulations apply to various lenders outside the banking industry as well as to banks.
The Board has regular contact with members of the President’s Council of Economic Advisers and other key economic officials. The Chair also meets from time to time with the President of the United States and has regular meetings with the Secretary of the Treasury. The Chair has formal responsibilities in the international arena as well.
Regulatory and oversight responsibilities
The board of directors of each Federal Reserve Bank District also has regulatory and supervisory responsibilities. If the board of directors of a district bank has judged that a member bank is performing or behaving poorly, it will report this to the board of governors. This policy is described in law:
Each Federal reserve bank shall keep itself informed of the general character and amount of the loans and investments of its member banks with a view to ascertaining whether undue use is being made of bank credit for the speculative carrying of or trading in securities, real estate, or commodities, or for any other purpose inconsistent with the maintenance of sound credit conditions; and, in determining whether to grant or refuse advances, rediscounts, or other credit accommodations, the Federal reserve bank shall give consideration to such information. The chairman of the Federal reserve bank shall report to the Board of Governors of the Federal Reserve System any such undue use of bank credit by any member bank, together with his recommendation. Whenever, in the judgment of the Board of Governors of the Federal Reserve System, any member bank is making such undue use of bank credit, the Board may, in its discretion, after reasonable notice and an opportunity for a hearing, suspend such bank from the use of the credit facilities of the Federal Reserve System and may terminate such suspension or may renew it from time to time.[46]
National payments system
The Federal Reserve plays a role in the U.S. payments system. The twelve Federal Reserve Banks provide banking services to depository institutions and to the federal government. For depository institutions, they maintain accounts and provide various payment services, including collecting checks, electronically transferring funds, and distributing and receiving currency and coin. For the federal government, the Reserve Banks act as fiscal agents, paying Treasury checks; processing electronic payments; and issuing, transferring, and redeeming U.S. government securities.[47]
In the Depository Institutions Deregulation and Monetary Control Act of 1980, Congress reaffirmed that the Federal Reserve should promote an efficient nationwide payments system. The act subjects all depository institutions, not just member commercial banks, to reserve requirements and grants them equal access to Reserve Bank payment services. The Federal Reserve plays a role in the nation’s retail and wholesale payments systems by providing financial services to depository institutions. Retail payments are generally for relatively small-dollar amounts and often involve a depository institution’s retail clients—individuals and smaller businesses. The Reserve Banks’ retail services include distributing currency and coin, collecting checks, electronically transferring funds through FedACH (the Federal Reserve’s automated clearing house system), and beginning in 2023, facilitating instant payments using the FedNow service. By contrast, wholesale payments are generally for large-dollar amounts and often involve a depository institution’s large corporate customers or counterparties, including other financial institutions. The Reserve Banks’ wholesale services include electronically transferring funds through the Fedwire Funds Service and transferring securities issued by the U.S. government, its agencies, and certain other entities through the Fedwire Securities Service.
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There is more in that article including Structure, Board of Governors, the Federal Reserve Banks (there are 12), and more subjects. So if you want to read these then, please, go here.
And I am bound to say that I have recently finished reading The FINANCIAL SYSTEM LIMIT by David Kauders. The sub-title of the book is The World’s Real Debt Burden. If you are at all interested in the subject then read the book.
Everything in space – from the Earth and Sun to black holes – accounts for just 15% of all matter in the universe. The rest of the cosmos seems to be made of an invisible material astronomers call dark matter.
Astronomers know dark matter exists because its gravity affects other things, such as light. But understanding what dark matter is remains an active area of research.
With the release of its first images this month, the Vera C. Rubin Observatory has begun a 10-year mission to help unravel the mystery of dark matter. The observatory will continue the legacy of its namesake, a trailblazing astronomer who advanced our understanding of the other 85% of the universe.
As a historian of astronomy, I’ve studied how Vera Rubin’s contributions have shaped astrophysics. The observatory’s name is fitting, given that its data will soon provide scientists with a way to build on her work and shed more light on dark matter.
Wide view of the universe
From its vantage point in the Chilean Andes mountains, the Rubin Observatory will document everything visible in the southern sky. Every three nights, the observatory and its 3,200 megapixel camera will make a record of the sky.
This camera, about the size of a small car, is the largest digital camera ever built. Images will capture an area of the sky roughly 45 times the size of the full Moon. With a big camera with a wide field of view, Rubin will produce about five petabytes of data every year. That’s roughly 5,000 years’ worth of MP3 songs.
After weeks, months and years of observations, astronomers will have a time-lapse record revealing anything that explodes, flashes or moves – such as supernovas, variable stars or asteroids. They’ll also have the largest survey of galaxies ever made. These galactic views are key to investigating dark matter.
Galaxies are the key
Deep field images from the Hubble Space Telescope, the James Webb Space Telescope and others have visually revealed the abundance of galaxies in the universe. These images are taken with a long exposure time to collect the most light, so that even very faint objects show up.
Researchers now know that those galaxies aren’t randomly distributed. Gravity and dark matter pull and guide them into a structure that resembles a spider’s web or a tub of bubbles. The Rubin Observatory will expand upon these previous galactic surveys, increasing the precision of the data and capturing billions more galaxies.
In addition to helping structure galaxies throughout the universe, dark matter also distorts the appearance of galaxies through an effect referred to as gravitational lensing.
Light travels through space in a straight line − unless it gets close to something massive. Gravity bends light’s path, which distorts the way we see it. This gravitational lensing effect provides clues that could help astronomers locate dark matter. The stronger the gravity, the bigger the bend in light’s path.
The white galaxies seen here are bound in a cluster. The gravity from the galaxies and the dark matter bends the light from the more distant galaxies, creating contorted and magnified images of them. NASA, ESA, CSA and STScI
Discovering dark matter
For centuries, astronomers tracked and measured the motion of planets in the solar system. They found that all the planets followed the path predicted by Newton’s laws of motion, except for Uranus. Astronomers and mathematicians reasoned that if Newton’s laws are true, there must be some missing matter – another massive object – out there tugging on Uranus. From this hypothesis, they discovered Neptune, confirming Newton’s laws.
With the ability to see fainter objects in the 1930s, astronomers began tracking the motions of galaxies.
California Institute of Technology astronomer Fritz Zwicky coined the term dark matter in 1933, after observing galaxies in the Coma Cluster. He calculated the mass of the galaxies based on their speeds, which did not match their mass based on the number of stars he observed.
He suspected that the cluster could contain an invisible, missing matter that kept the galaxies from flying apart. But for several decades he lacked enough observational evidence to support his theory.
In 1965, Vera Rubin became the first women hired onto the scientific staff at the Carnegie Institution’s Department of Terrestrial Magnetism in Washington, D.C.
She worked with Kent Ford, who had built an extremely sensitive spectrograph and was looking to apply it to a scientific research project. Rubin and Ford used the spectrograph to measure how fast stars orbit around the center of their galaxies.
In the solar system, where most of the mass is within the Sun at the center, the closest planet, Mercury, moves faster than the farthest planet, Neptune.
“We had expected that as stars got farther and farther from the center of their galaxy, they would orbit slower and slower,” Rubin said in 1992.
“And that really leads to only two possibilities,” Rubin explained. “Either Newton’s laws don’t hold, and physicists and astronomers are woefully afraid of that … (or) stars are responding to the gravitational field of matter which we don’t see.”
Data piled up as Rubin created plot after plot. Her colleagues didn’t doubt her observations, but the interpretation remained a debate. Many people were reluctant to accept that dark matter was necessary to account for the findings in Rubin’s data.
Rubin continued studying galaxies, measuring how fast stars moved within them. She wasn’t interested in investigating dark matter itself, but she carried on with documenting its effects on the motion of galaxies.
A U.S quarter honors Vera Rubin’s contributions to our understanding of dark matter. United States Mint, CC BY
Vera Rubin’s legacy
Today, more people are aware of Rubin’s observations and contributions to our understanding of dark matter. In 2019, a congressional bill was introduced to rename the former Large Synoptic Survey Telescope to the Vera C. Rubin Observatory. In June 2025, the U.S. Mint released a quarter featuring Vera Rubin.
Rubin continued to accumulate data about the motions of galaxies throughout her career. Others picked up where she left off and have helped advance dark matter research over the past 50 years.
In the 1970s, physicist James Peebles and astronomers Jeremiah Ostriker and Amos Yahil created computer simulations of individual galaxies. They concluded, similarly to Zwicky, that there was not enough visible matter in galaxies to keep them from flying apart.
They suggested that whatever dark matter is − be it cold stars, black holes or some unknown particle − there could be as much as 10 times the amount of dark matter than ordinary matter in galaxies.
Throughout its 10-year run, the Rubin Observatory should give even more researchers the opportunity to add to our understanding of dark matter.
Like so many people, I am fascinated by the universe. Just our own universe is staggering. Here are some items published on the NASA website.
Solar System Facts
Our solar system includes the Sun, eight planets, five officially named dwarf planets, hundreds of moons, and thousands of asteroids and comets.
Our solar system is located in the Milky Way, a barred spiral galaxy with two major arms, and two minor arms. Our Sun is in a small, partial arm of the Milky Way called the Orion Arm, or Orion Spur, between the Sagittarius and Perseus arms. Our solar system orbits the center of the galaxy at about 515,000 mph (828,000 kph). It takes about 230 million years to complete one orbit around the galactic center.
Now to the centre of our universe. And it give me pleasure to republish this account.
Published in 1915, and already widely accepted worldwide by physicists and mathematicians, the theory assumed the universe was static – unchanging, unmoving and immutable. In short, Einstein believed the size and shape of the universe today was, more or less, the same size and shape it had always been.
But when astronomers looked into the night sky at faraway galaxies with powerful telescopes, they saw hints the universe was anything but that. These new observations suggested the opposite – that it was, instead, expanding.
Scientists soon realized Einstein’s theory didn’t actually say the universe had to be static; the theory could support an expanding universe as well. Indeed, by using the same mathematical tools provided by Einstein’s theory, scientists created new models that showed the universe was, in fact, dynamic and evolving.
I’ve spent decades trying to understand general relativity, including in my current job as a physics professor teaching courses on the subject. I know wrapping your head around the idea of an ever-expanding universe can feel daunting – and part of the challenge is overriding your natural intuition about how things work. For instance, it’s hard to imagine something as big as the universe not having a center at all, but physics says that’s the reality.
The universe gets bigger every day.
The space between galaxies
First, let’s define what’s meant by “expansion.” On Earth, “expanding” means something is getting bigger. And in regard to the universe, that’s true, sort of. Expansion might also mean “everything is getting farther from us,” which is also true with regard to the universe. Point a telescope at distant galaxies and they all do appear to be moving away from us.
What’s more, the farther away they are, the faster they appear to be moving. Those galaxies also seem to be moving away from each other. So it’s more accurate to say that everything in the universe is getting farther away from everything else, all at once.
This idea is subtle but critical. It’s easy to think about the creation of the universe like exploding fireworks: Start with a big bang, and then all the galaxies in the universe fly out in all directions from some central point.
But that analogy isn’t correct. Not only does it falsely imply that the expansion of the universe started from a single spot, which it didn’t, but it also suggests that the galaxies are the things that are moving, which isn’t entirely accurate.
It’s not so much the galaxies that are moving away from each other – it’s the space between galaxies, the fabric of the universe itself, that’s ever-expanding as time goes on. In other words, it’s not really the galaxies themselves that are moving through the universe; it’s more that the universe itself is carrying them farther away as it expands.
A common analogy is to imagine sticking some dots on the surface of a balloon. As you blow air into the balloon, it expands. Because the dots are stuck on the surface of the balloon, they get farther apart. Though they may appear to move, the dots actually stay exactly where you put them, and the distance between them gets bigger simply by virtue of the balloon’s expansion.
Now think of the dots as galaxies and the balloon as the fabric of the universe, and you begin to get the picture.
Unfortunately, while this analogy is a good start, it doesn’t get the details quite right either.
The 4th dimension
Important to any analogy is an understanding of its limitations. Some flaws are obvious: A balloon is small enough to fit in your hand – not so the universe. Another flaw is more subtle. The balloon has two parts: its latex surface and its air-filled interior.
These two parts of the balloon are described differently in the language of mathematics. The balloon’s surface is two-dimensional. If you were walking around on it, you could move forward, backward, left, or right, but you couldn’t move up or down without leaving the surface.
Now it might sound like we’re naming four directions here – forward, backward, left and right – but those are just movements along two basic paths: side to side and front to back. That’s what makes the surface two-dimensional – length and width.
The inside of the balloon, on the other hand, is three-dimensional, so you’d be able to move freely in any direction, including up or down – length, width and height.
This is where the confusion lies. The thing we think of as the “center” of the balloon is a point somewhere in its interior, in the air-filled space beneath the surface.
But in this analogy, the universe is more like the latex surface of the balloon. The balloon’s air-filled interior has no counterpart in our universe, so we can’t use that part of the analogy – only the surface matters.
So asking, “Where’s the center of the universe?” is somewhat like asking, “Where’s the center of the balloon’s surface?” There simply isn’t one. You could travel along the surface of the balloon in any direction, for as long as you like, and you’d never once reach a place you could call its center because you’d never actually leave the surface.
In the same way, you could travel in any direction in the universe and would never find its center because, much like the surface of the balloon, it simply doesn’t have one.
Part of the reason this can be so challenging to comprehend is because of the way the universe is described in the language of mathematics. The surface of the balloon has two dimensions, and the balloon’s interior has three, but the universe exists in four dimensions. Because it’s not just about how things move in space, but how they move in time.
Our brains are wired to think about space and time separately. But in the universe, they’re interwoven into a single fabric, called “space-time.” That unification changes the way the universe works relative to what our intuition expects.
And this explanation doesn’t even begin to answer the question of how something can be expanding indefinitely – scientists are still trying to puzzle out what powers this expansion.
So in asking about the center of the universe, we’re confronting the limits of our intuition. The answer we find – everything, expanding everywhere, all at once – is a glimpse of just how strange and beautiful our universe is.
Join us on an incredible Wildlife photography adventure through the wilds of Oregon, as we search for and capture stunning images of three iconic raptors: the Great Grey Owl, the Bald Eagle, and the Osprey. What was amazing is that we did not see another photographer whilst photographing these magnificent raptors! From dense forests to riverbanks and high mountain meadows, Oregon is a paradise for birdwatchers and wildlife photographers alike. In this video, we take you behind the scenes of our journey—tracking elusive owls, watching bald eagles, and photographing ospreys.
It makes us extremely proud to be living in this part of America!
We live on 13 acres. Even the land near to the house is difficult to keep tidy so when Jean and I saw this TED Talk given by Rebecca McMacin we were overjoyed. For having a tidy garden does much greater harm to wildlife than keeping it wild.
Before I get to the TED video, I just want to show you some photos I took last Saturday.
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Now to the TED Talk
Here is the description of the talk.
Many gardeners work hard to maintain clean, tidy environments … which is the exact opposite of what wildlife wants, says ecological horticulturist Rebecca McMackin. She shows the beauty of letting your garden run wild, surveying the success she’s had increasing biodiversity even in the middle of New York City — and offers tips for cultivating a garden that can be home to birds, bees, butterflies and more.
Here is Rebecca’s background.
Rebecca McMackin is an ecologically obsessed horticulturist who helps people create and care for beautiful gardens that provide habitat for birds, butterflies and soil microorganisms.
Why you should listen
Rebecca McMackin spent a decade as director of horticulture at Brooklyn Bridge Park, where she employed organic principles to manage 85 acres of diverse parkland. During her time overseeing the park’s ecology, stick bugs, rare mantids, threatened bees and lady bugs all returned to the park. The park’s urban biodiversity and successful use of ethical management strategies influenced thousands of people and other urban parks to adopt similar approaches.
In addition to her work designing public gardens, McMackin writes, lectures and teaches on ecological landscape management and pollination ecology. She recently installed an 8,000-square-foot native wildflower garden for the entrance to the Brooklyn Museum. She was a Loeb Fellow at the Harvard Graduate School of Design, while her work has been published by and featured in The New York Times, the Landscape Institute and on NPR and PBS.
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The video is just 12 minutes long and I encourage you to view it.
As many of you know I was born exactly six months before VE Day on May 8th, 1945.
We soon moved from Acton to 16 Toley Avenue, in Preston Road, Wembley. A short distance down Toley Ave was Ledway Drive that led up to Barn Hill Pond.
A review of Barn Hill Pond by a dog walker, Tara Furlong, in 2020.
It’s a pond on top of a hill, which gets smaller depending on how hot and dry the summer is. It has been known to have sightings of its own grey heron, mallards on occasion, etc. Fish may lurk in its depths, and frogspawn in the spring. There are views of Wembley, and across to central London from the trig point nearby, and aspirations to open up the view to Harrow-on-the-Hill. Take a little wander and you may spy St Paul’s Cathedral. A small number of benches are available, and the bins overflow in fine weather. There’s nothing but green space and houses nearby. It’s accessible via a fairly short, steep uphill walk on uneven ground from the unserviced car park, which can get very busy; or from Wembley Park. Photos on a typical British day – i.e. a bit cloudy and soggy.
As a young boy I well remember looking out from Barn Hill and seeing the devastation of the property from the Nazi bombers.
There are twenty programmes on Radio 4 that are about this postwar period in Britain. I have listened to the first three and have found them deeply interesting. Anyone interested in British history is recommended to listen to them. That is the link.
To my mind, nothing beats the sights of the World’s oceans.
In the past, I spent four years living on a yacht, a Tradewind 33, out in Cyprus. During that time I cruised to Turkey, to Greece, to Algiers, and loved it.
Here’s an extract from World Oceans day website.
Why Earth’s oceans are so important
Earth’s oceans are critical to human survival. Indeed, more than half the oxygen in our atmosphere is generated via photosynthesis by phytoplankton and seaweed in oceans. In addition, millions of people depend on fish and other marine animals for food. Research on some marine organisms has led to the development of new medications. Moreover, ocean currents, known as global conveyor belts, help regulate Earth’s climate.
Sir David Attenborough has produced a film Ocean and the trailer follows:
There is so much more to view on the World Oceans Day website. Please go to it.
George Monbiot published an article in The Guardian recently that was as hard-hitting as I have ever read from him.
I found it very powerful even though I have not been living in England since 2008. Mr Monbiot has previously given me permission to republish his articles and here it is.
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Four-Year Plan
Posted on 3rd June 2025
Keir Starmer has accidentally given us four years in which to build a new political system. We should seize the chance.
By George Monbiot, published in the Guardian 27th May 2025
This feels terminal. The breaches of trust have been so frequent, so vast and so decisive that the voters Labour has already lost are unlikely to return. In one forum after another, I hear the same sentiments: “I voted for change, not the same or worse.” “I’ve voted Labour all my life, but that’s it for me.” “I feel I’ve been had.”
It’s not dissatisfaction. It’s not disillusionment. It’s revulsion: visceral fury, anger on a level I’ve seldom seen before, even towards Tory cruelties. Why? Because these are Tory cruelties, delivered by a party that claimed to be the only alternative, in our first-past-the-post electoral system.
Like many people, I was wary of Keir Starmer. I had limited expectations, but I willed Labour to succeed. So I’ve watched aghast as he and his inner circle have squandered one of the greatest opportunities the party has ever been granted. They seem to despise people who voted for them, while courting and flattering those who didn’t and won’t.
The results? Last week, the polling company Thinks Insight & Strategy found that 52% of those who voted Labour in the 2024 general election are considering switching to the Liberal Democrats or the Greens. That’s more than twice as many as might migrate to Reform UK. The research group Persuasion UK estimates that Labour could lose 250 seatsas a result of this flight to more progressive parties (again, more than twice as many as it could lose through voters shifting to Reform). Figures compiled by the progressive thinktank Compass show that Labour would lose its majority on just a 6% swing. Already, while it won a massive majority on a measly 34% vote at the election, it now polls at just 22%.
What explains this idiocy? Labour has succumbed, quickly and hard, to the defining sickness of our undemocratic political system: the sofa cabinet system of close advisers. Opaque and unaccountable government favours opaque and unaccountable power. Ever receptive to the demands of rentiers, oligarchs, non-doms and corporations, Labour’s oh-so-clever strategists are moronically giftwrapping the country for Nigel Farage.
Governments don’t start conservative and turn radical. The cruelty will set like concrete. The likely result is annihilation in 2029. On this trajectory, it might not be surprising if Labour were left with seats in only double figures.
Perhaps it’s a blessing that Starmer has shown his hand so soon, as we now have four years in which to prepare. I’m not a party person: for me, it’s a question of what works. And now we can clearly see the shape of it.
The Compass analysis, published in December, reveals extreme electoral volatility. This is caused by a combination of public fury towards austerity, exclusion, rip-off rents and startlingly low rates of wellbeing, and the “democratic mayhem” resulting from a first-past-the-post system in which five parties are now polling at 10% or more. Small vote shifts in this situation can cause wild fluctuations in the allocation of seats.
The report points out that the UK is an overwhelmingly progressive nation: in all but one election since 1979 most voters have supported left or centre-left parties. Of 15 nations surveyed, the UK has the extraordinary distinction of being both the furthest to the left and the most consistent elector of rightwing governments. Why? Because of our first-past-the-post system, which is grossly unfair not by accident but by design. Labour refuses to change it, as it wants to rule alone. The result is that most of the time it doesn’t rule at all.
The thinktank was hoping to mobilise the progressive majority around a revitalised Labour party, but that moment has passed. What the figures show, however, is massive potential for more radical change. A YouGov survey reveals that almost twice as many people want proportional representation in this country as those who wish to preserve the current system. So let’s build a government of parties that will introduce it.
Here’s the strategy. Join the Lib Dems, Greens, SNP or Plaid Cymru. As their numbers rise, other voters will see the tide turning. Encourage troubled Labour MPs to defect. Most importantly, begin the process in each constituency of bringing alienated voters together around a single candidate. This is what we did before the last election in South Devon, where polls had shown the anti-Tory vote evenly split between Labour and the Lib Dems. Through the People’s Primary designed by locals, the constituency decided to back the Lib Dems. The proof of the method can be seen less in the spectacular routing of the Conservatives (as similar upsets occurred elsewhere) than in the collapse in Labour’s numbers, which fell from 17% in 2019, and 26% in a poll before the primary began, to 6% in the 2024 election. The voters took back control, with startling results.
Whether you fully support any of these parties is beside the point. This coalition would break for ever the lesser-of-two-evils choice that Starmer has so cruelly abused, and which has for so long poisoned politics in this country. Game the system once and we’ll never have to game it again.
No longer will we be held hostage, no longer represented by people who hate us. It will be a tragedy if, as seems likely, Keir Starmer has destroyed the Labour party as a major political force. But it will be a blessing if he has also destroyed the two-party system.
Proportional representation is explained in detail here. There is also an explanation on WikiPedia here. From which I quote a small section:
Proportional representation (PR) refers to any electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions (political parties) among voters. The aim of such systems is that all votes cast contribute to the result so that each representative in an assembly is mandated by a roughly equal number of voters, and therefore all votes have equal weight. Under other election systems, a bare plurality or a scant majority in a district are all that are used to elect a member or group of members. PR systems provide balanced representation to different factions, usually defined by parties, reflecting how votes were cast. Where only a choice of parties is allowed, the seats are allocated to parties in proportion to the vote tally or vote share each party receives.
That is a timely and powerful article from George Monbiot.
A shard of smooth bone etched with irregular marks dating back 20,000 years puzzled archaeologists until they noticed something unique – the etchings, lines like tally marks, may have represented prime numbers. Similarly, a clay tablet from 1800 B.C.E. inscribed with Babylonian numbers describes a number system built on prime numbers.
As the Ishango bone, the Plimpton 322 tablet and other artifacts throughout history display, prime numbers have fascinated and captivated people throughout history. Today, prime numbers and their properties are studied in number theory, a branch of mathematics and active area of research today.
Informally, a positive counting number larger than one is prime if that number of dots can be arranged only into a rectangular array with one column or one row. For example, 11 is a prime number since 11 dots form only rectangular arrays of sizes 1 by 11 and 11 by 1. Conversely, 12 is not prime since you can use 12 dots to make an array of 3 by 4 dots, with multiple rows and multiple columns. Math textbooks define a prime number as a whole number greater than one whose only positive divisors are only 1 and itself.
Math historian Peter S. Rudman suggests that Greek mathematicians were likely the first to understand the concept of prime numbers, around 500 B.C.E.
Around 300 B.C.E., the Greek mathematician and logician Euler proved that there are infinitely many prime numbers. Euler began by assuming that there is a finite number of primes. Then he came up with a prime that was not on the original list to create a contradiction. Since a fundamental principle of mathematics is being logically consistent with no contradictions, Euler then concluded that his original assumption must be false. So, there are infinitely many primes.
The argument established the existence of infinitely many primes, however it was not particularly constructive. Euler had no efficient method to list all the primes in an ascending list.
Prime numbers, when expressed as that number of dots, can be arranged only in a single row or column, rather than a square or rectangle. David Eppstein/Wikimedia Commons
In the middle ages, Arab mathematicians advanced the Greeks’ theory of prime numbers, referred to as hasam numbers during this time. The Persian mathematician Kamal al-Din al-Farisi formulated the fundamental theorem of arithmetic, which states that any positive integer larger than one can be expressed uniquely as a product of primes.
From this view, prime numbers are the basic building blocks for constructing any positive whole number using multiplication – akin to atoms combining to make molecules in chemistry.
Today, primes in this form are called Mersenne primes after the French monk Marin Mersenne. Many of the largest known primes follow this format.
Several early mathematicians believed that a number of the form (2p – 1) is prime whenever p is prime. But in 1536, mathematician Hudalricus Regius noticed that 11 is prime but not (211 – 1), which equals 2047. The number 2047 can be expressed as 11 times 89, disproving the conjecture.
While not always true, number theorists realized that the (2p – 1) shortcut often produces primes and gives a systematic way to search for large primes.
The search for large primes
The number (2p – 1) is much larger relative to the value of p and provides opportunities to identify large primes.
When the number (2p – 1) becomes sufficiently large, it is much harder to check whether (2p – 1) is prime – that is, if (2p – 1) dots can be arranged only into a rectangular array with one column or one row.
Fortunately, Édouard Lucas developed a prime number test in 1878, later proved by Derrick Henry Lehmer in 1930. Their work resulted in an efficient algorithm for evaluating potential Mersenne primes. Using this algorithm with hand computations on paper, Lucas showed in 1876 that the 39-digit number (2127 – 1) equals 170,141,183,460,469,231,731,687,303,715,884,105,727, and that value is prime.
Also known as M127, this number remains the largest prime verified by hand computations. It held the record for largest known prime for 75 years.
Researchers began using computers in the 1950s, and the pace of discovering new large primes increased. In 1952, Raphael M. Robinson identified five new Mersenne primes using a Standard Western Automatic Computer to carry out the Lucas-Lehmer prime number tests.
As computers improved, the list of Mersenne primes grew, especially with the Cray supercomputer’s arrival in 1964. Although there are infinitely many primes, researchers are unsure how many fit the type (2p – 1) and are Mersenne primes.
By the early 1980s, researchers had accumulated enough data to confidently believe that infinitely many Mersenne primes exist. They could even guess how often these prime numbers appear, on average. Mathematicians have not found proof so far, but new data continues to support these guesses.
George Woltman, a computer scientist, founded the Great Internet Mersenne Prime Search, or GIMPS, in 1996. Through this collaborative program, anyone can download freely available software from the GIMPS website to search for Mersenne prime numbers on their personal computers. The website contains specific instructions on how to participate.
GIMPS has now identified 18 Mersenne primes, primarily on personal computers using Intel chips. The program averages a new discovery about every one to two years.
The largest known prime
Luke Durant, a retired programmer, discovered the current record for the largest known prime, (2136,279,841 – 1), in October 2024.
Referred to as M136279841, this 41,024,320-digit number was the 52nd Mersenne prime identified and was found by running GIMPS on a publicly available cloud-based computing network.
This network used Nvidia chips and ran across 17 countries and 24 data centers. These advanced chips provide faster computing by handling thousands of calculations simultaneously. The result is shorter run times for algorithms such as prime number testing.
New and increasingly powerful computer chips have allowed prime-number hunters to find increasingly larger primes. Fritzchens Fritz/Flickr
The Electronic Frontier Foundation is a civil liberty group that offers cash prizes for identifying large primes. It awarded prizes in 2000 and 2009 for the first verified 1 million-digit and 10 million-digit prime numbers.
Large prime number enthusiasts’ next two challenges are to identify the first 100 million-digit and 1 billion-digit primes. EFF prizes of US$150,000 and $250,000, respectively, await the first successful individual or group.
Eight of the 10 largest known prime numbers are Mersenne primes, so GIMPS and cloud computing are poised to play a prominent role in the search for record-breaking large prime numbers.
Large prime numbers have a vital role in many encryption methods in cybersecurity, so every internet user stands to benefit from the search for large prime numbers. These searches help keep digital communications and sensitive information safe.
I find it unbelievable that there are prizes for the first 100 million-digit prime number and also the first 1 billion-digit prime number. It is so far away from my understanding of these numbers that all I can say is: I find it unbelievable!
Learning from Dogs 
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