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  • A hundred trillion years from now, the last of a great civilisation hides in the darkness.

  • Throughout their glory days, their engineers worked entire star systems.

  • They dismantled planets and asteroids to construct an immense interstellar empire.

  • But now, in the twilight of their time, all of this is long gone.

  • All around them, the universe is dying as the last of the stars are going out.

  • Over countless millennia, the sky has continued to fade into an eternal night.

  • The aging universe gripped by desolation and decay,

  • And so, in the darkness, they wait for the end.

  • Long before they had realized it was coming

  • They knew that the universe was on a path of inevitable decline.

  • Methodically they hunted for a final place to wait out eternity.

  • And embarked on their last great feat of engineering.

  • Around a lost and lonely black hole, they built a new home. With demolished worlds as raw material, they

  • constructed a shell to completely enclose the darkness.

  • And within this thin shell, barely withstanding the gravitational grip of their savior,

  • They eked out their meagre lives.

  • The dwindling light of dying stars rained down upon their final home, Whilst the swirling black hole was harvested

  • to power their existence. But more than that, the black hole at their

  • heart gave them greatest gift of all, For the black hole gave them time.

  • No one remembered the name of the great scientist who had discovered the nature of time.

  • But the astro-engineers knew that time was not the same across the cosmos.

  • And here, within the immense gravity of the black hole, time trickled more slowly.

  • Whilst many years passed outside, mere moments flashed by within the immense sphere.

  • And so the last of the civilisation watched the future play out in front of them.

  • But they knew that they had only delayed, not averted, their ultimate demise.

  • And the darkness would inevitably envelop them forever and ever.

  • Of course, this story is little more than speculation.

  • But it is built on a scientific idea that changed our universe.

  • It’s been more than a century since Einstein’s relativity shook up our understanding of time

  • and space. But how does it really work? And what does

  • it actually mean? Both time and space seem so commonplace, so

  • obvious, so everyday. But beneath their ubiquity they hide a multitude

  • of unanswered questions - questions to which Einstein's theories only begin to answer.

  • What is space made of?

  • Does time exist?

  • And will hunting for their ultimate nature lead to sudden clarity, or will space and

  • time just become more elusive?

  • Einstein offered them lunch, and they accepted.

  • So he moved a whole bunch of papers from the table, opened four cans of beans with a can opener,

  • heated them, stuck a spoon in each and that was our lunch."

  • Albert Einstein was a busy man, and often missed lunch.

  • And that was back in 1915 - in the century since our lives have only become more chaotic.

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  • educational content on YouTube.

  • As the lonely world lingered on,

  • Its beating heart warped the very fabric of the universe around it.

  • The civilisation had done everything they could to keep going, to put off the inevitable.

  • But try as they might, they could only bend reality. They could not break it.

  • "Behind it all is surely an idea so simple, so beautiful, that when we grasp it - in a

  • decade, a century, or a millennium - we will all say to each other, how could it have been

  • otherwise? How could we have been so stupid?"

  • What is space?

  • The question seems almost meaningless. As children we learn to describe our surroundings

  • as up-down, left-right, back-and-front. We call it three dimensional and are free

  • to explore each dimension. But just what is it, this universal platform

  • on which we play out our lives? It is a question that occupied the minds of

  • the earliest philosophers. In the fourth century BC, Plato declared that

  • space was theThe Nurse of Becoming”, a medium in which everything existed, but

  • with no qualities of its own - and his student Aristotle agreed that an empty void was impossible.

  • But it would be more than two thousand years before our concept of space was born.

  • By the coming of the seventeenth century, modern science was crystallizing.

  • The processes of the universe were being codified into physical laws.

  • And the understanding of these physical laws was evolving from myths and stories, to the

  • language of mathematics. Of course, Isaac Newton was at the forefront

  • of this revolution. But before he enters our stage, we must first

  • start with a boat. In 1632, Galileo published his seminal work

  • Dialogue Concerning the Two Chief World Systems”.

  • He was in his mid 60s by this point, and had already had multiple run-ins with the Roman

  • Inquisition for his assertions that the earth rotated around the sun.

  • So he had decided to skirt controversy, and spend the intervening years quietly cementing

  • his myriad ideas on space and the cosmos into a book.

  • And at one point within this book, he muses on a boat.

  • More specifically - the life of a sailor locked below deck in a windowless cabin.

  • With plates and knives and a goldfish in a bowl on the table - a collection of birds,

  • flies, and butterflies. Just what does the sailor experience?

  • Tied up in port, the cabin is a picture of serenity, and all is calm as the goldfish

  • swims happily in its bowl. On the table, plates and cutlery remain in

  • their place, and the flying creatures happily flutter about.

  • But finding itself in rough seas, the cabin heaves and falls with the ship.

  • Plates and cutlery are wrenched off the table, water spills from the goldfish bowl.

  • On calm seas with wind-filled sails, the ship would speed up.

  • The sailor would feel this change, and see things sliding off the table.

  • But when the wind finally drops, the ship sails smoothly on the glassy sea.

  • Inside the cabin, all would be calm, serenity returning.

  • For the sailor, it would be as if the ship was still in port and was not moving at all.

  • A dropped plate would fall straight to the floor, and the sailor would sit comfortably

  • in their chair. And it was here Galileo realised something.

  • Without a window to reveal the truth, there are no experiments the sailor could do to

  • reveal whether the ship was moving or not. He concluded that there must be no absolute

  • concept of being at rest in space. Instead, everyone must experience any smooth,

  • uniform motion in the same way. All uniform motion must feel like simply being

  • still. Galileo declared, therefore, that any uniform

  • motion is simply relative to any other uniform motion.

  • And with this, the first theory of relativity had been born.

  • Galileo´s sailor floats gently on their sailboat, on seas near the earth's equator - rotating

  • at 1600 km an hour around the earth, which in turn orbits the sun at 67,000 km an hour,

  • which in turn orbits the milky way at 720,000 km an hour, which in turn is travelling towards

  • the Andromeda galaxy at 403,000 km an hour. And yet he feels nothing on his vast journey

  • millions of kilometres from his starting point. Unfortunately upon publishing the book, Galileo

  • once again fell foul of the Catholic Church - and was found guilty of heresy for his heliocentric

  • view of the cosmos. The work was banned, and would not be removed

  • from the church´s Index of Forbidden Books until 1835.

  • Within a few decades of Galileo´s downfall, two of Europe’s greatest minds were arguing

  • about the nature of space. One of them, Isaac Newton, was born in England

  • in 1642, within a year of Galileo’s death. He needs little introduction, and is known

  • now as one of the greatest thinkers of his age, perhaps one of the greatest of all time.

  • Whilst not forgotten, his opponent, Gottfried Leibniz, is somewhat less well known today.

  • Born in 1646 in what is present-day Germany, he was a leading thinker of his day, writing

  • on mathematics and philosophy. He pondered deep metaphysical questions, including one

  • that still haunts physicists and philosophers to this day - why there is something rather

  • than nothing. It was in the development of calculus that

  • the two men´s feud began. Whilst Leibniz published his work first, Newton

  • claimed that he had stolen his ideas. As president of the Royal Society at the time,

  • Newton set up a committee to investigate the dispute.

  • Unsurprisingly the committee found in favour of Newton.

  • And so this animosity carried over to their second disagreement.

  • A simple question: What happens to a spinning bucket of water?

  • Space, Newton declared, was a universal absolute, a rigid stage on which motion was played out.

  • And both would exist in a universe devoid of matter to experience any motion.

  • To argue his point, Newton asked us to think of a bucket of water.

  • If the bucket sits at rest, the surface of the water would be flat and level.

  • But if we spin the bucket, the water spins too and its surface becomes curved.

  • Newton askedJust what is the water spinning with respect to?”

  • Newton claimed that the acceleration of the spin was relative to an absolute space - something

  • separate to the object itself - spinning a bucket in an empty universe would also curve

  • the surface of the water. But to Leibniz, space in an empty universe,

  • devoid of any matter, simply made no sense. The properties of objects, Leibniz claimed,

  • are essential in defining their meaning. Space only has meaning, in the relative locations

  • of objects. And similarly, time only had meaning when

  • discussing the relative motions of objects. Without matter Leibniz said, space and time

  • simply have no role, and hence no existence. Sadly, Liebniz died in 1716, with the argument

  • still in full swing - but it was Newton's ideas that stuck.

  • Absolute space, in its own nature, without relation to anything external, remains always

  • similar and immovable, Absolute, true, and mathematical time, of itself, and from its

  • own nature, flows equally without relation to anything external."

  • This so-calledabsolute space and timewould be the accepted science for nearly two

  • centuries - but with the caveat of Galileo´s rejection of absolute rest. Absolute space

  • may have won the debate - but absolute rest, a fixed point - was still an impossibility.

  • Relativity was still part of the argument. But that only applied to space.

  • Time was a totally different matter. With its implicit direction, time appeared

  • totally distinct. For Newton and Galileo, everyone’s clock

  • across the universe ticked with absolute synchronicity. A universal beat that ran through every event

  • in the cosmos. A second on Earth the same as a second everywhere

  • else. But is this true?

  • Is time malleable or an unswerving metronome that drags the cosmos forward? Does it itself

  • have properties or is it defined only by the events that run in its current?

  • To answer these questions we must begin not with physicists wondering about clocks, rulers

  • and motion. But with heat.

  • In the distant future universe, around the aging black hole, our dying civilization sits

  • and waits. For sitting and waiting is all they can do.

  • With the passing of the stars, raw energy had become the most precious thing.

  • To preserve what they had, they had slowed their very existence.

  • Every aspect was focused upon survival, as their sleepy eyes watched the ever darkening

  • skies. As total universal heat death crept across

  • the cosmos, They realised that time was their ultimate enemy.

  • "You may see a cup of tea fall off a table

  • and break into pieces on the floor… …but you will never see the cup gather itself

  • back together and jump back on the table."

  • What is time? Like space, the nature of time occupied the minds of many ancient thinkers.

  • In ancient Greece, Aristotle stated that time was simply the steps between before and after,

  • whilst Hindu philosophers saw time as cyclical, from creation to destruction over four billion

  • years. But it's true origin remained elusive.

  • Like space, time seems to be something obvious, something that is just present.

  • But it is clearly a different beast - we cannot freely travel through time.

  • Unlike space, time has a direction - a distinct past and coming future.

  • As with space, scientists can be pragmatic and not worry about the nature of time.

  • Coupled with a ruler, a clock completes the experimenter’s toolbox.

  • But it doesn’t mean we can ignore the question. And to understand time fully, we first have

  • to think about horses and steam engines. The coming of the industrial revolution presented

  • humanity with a problem. The original engines of civilization, draught

  • animals like horses and cattle, were relatively simple things.

  • Understanding how much to feed them and how much to work them was easy.

  • A certain number of bales of hay could guarantee a day’s work from a well-fed animal.

  • But what of new-fangled machines, such as a steam engine?

  • How much work can you get out of a heap of coal?

  • This was an important question from an economic standpoint.

  • Do you replace a horse with an engine if it is going to cost more to feed it?

  • And it was out of this conundrum that thermodynamics was born.

  • Many minds wrestled over the question of the ultimate efficiency of engines.

  • Indeed - at the time of thermodynamics inception, a typical engine only worked at 3%.

  • In a physical steam engine, the heat of the fire is used to boil water,

  • But some of the fire’s heat just radiates into the air.

  • Metal scrapes against metal, screeching loud and hot to the touch - both forms of energy

  • loss. In any physical steam engine, this loss of

  • heat as waste is inevitable. Within the mathematics of thermodynamics,

  • perfect efficiency was found to be an illusion. Energy is always lost as heat flows from one

  • place to another. The concentrated energy released from burning

  • coal must be degraded as it flows through the engine and some must be lost into the

  • surroundings. And so a new measure was introduced to account

  • for this increase of decay and disorder. Entropy.

  • And it is probability that dictates how this happens.

  • As the early 20th century physicist George Gamow put it:

  • "For exactly the same reason the room in which you sit reading this book is filled uniformly

  • by air from wall to wall and from floor to ceiling, and it never even occurs to you that

  • the air in the room can unexpectedly collect itself in a far corner, leaving you to suffocate

  • in your chair. However, this horrifying event is not at all physically impossible, but only

  • highly improbable." Gamow goes on to give the waiting time of

  • such an event - trillions upon trillions times longer than the entire age of the universe.

  • Disorder is always statistically far more likely.

  • Through the new laws of thermodynamics physicists revealed an inexorable growth in entropy as

  • the universe marches on - a future universe destined to be more disordered and decayed

  • than today’s. Not only steam engines, but whole planets,

  • stars, galaxies, filaments - all marching from order to disorder.

  • It was in 1862 that the grim logical endpoint of these ideas was proposed, by Lord Kelvin,

  • for whom the measurement unit was named: "...although mechanical energy is indestructible,

  • there is a universal tendency to its dissipation, which producesexhaustion of potential energy

  • through the material universe. The result would inevitably be a state of universal rest

  • and death, if the universe were finite and left to obey existing laws."

  • And so, was this time? A constantly dying universe heading for inevitable heat death?

  • Stars going out one by one in a steady march from potential energy to waste leaving the

  • trillion year old universe dark and spent? One of the great minds to occupy themselves

  • with entropy and the arrow of time was James Clerk Maxwell, the iconic Scottish nineteenth

  • century scientist. His views on thermodynamics shaped our understanding

  • of heat and gases - and he did all this with the assistance of a demon.

  • Maxwell understood the implications of entropy. He knew that if he mixed two gases, one hot

  • and one cold, the result would be warm gas. And he knew that the gas would stay warm and

  • mixed rather than separating into two halves, with hot gas in one and cold in the other.

  • But he wondered - what if we introduced a tiny demon who can sense each and every atom

  • in the gas. This demon can turn around atoms, directing

  • slow atoms to one side, and fast to the other. As the temperature of a gas is a reflection

  • of the average speed of its atoms, The demon has effectively separated the warm

  • gas into two unequal halves, one hot, and one cold.

  • The demon seems to have broken the laws of thermodynamics.

  • It has taken the disordered state, the warm gas, and created a more ordered state, hot

  • and cold gas. And whilst only a thought experiment - arguments

  • over the meaning of Maxwell’s demon have raged for over 150 years.

  • Some have stated that the demon must be expending energy to sort the gas atoms,

  • And so total entropy will continue to rise. However - some have proposed that it is not

  • energy that is important, But the fact that the demon uses information,

  • namely the speeds of the atoms, to do the sorting.

  • Linking energy, entropy and information might seem a little strange,

  • But over the last three-quarters of a century, This link has become stronger and stronger.

  • And as any touch of a computer will tell you, processing information generates a lot of

  • waste heat. But the situation is more complex than that.

  • It is not simply the processing of information that leads to waste heat, but the forgetting

  • of information. When we add three and two, the answer is,

  • of course, five. But if I told you an answer was five and ask

  • what two numbers are summed together, you cannot answer.

  • In a computer, logic gates combine electronic signals to do the addition -

  • Whilst two numbers are fed in, they are forgotten as the single answer is spat out.

  • The calculation is irreversible, the inputs lost to the universe.

  • And, in the action of forgetting, the logic gates heat up a little.

  • Thermodynamics therefore provides us with the ultimate limit for forgetting.

  • Called the Landauer limit, it is the inevitable release of energy from erasing a single bit

  • of information. And at room temperature it is just over 100th

  • of an electron volt. Proven experimentally in 2012, scientists

  • believe that at present computer chips produce thousands of times more heat than this limit

  • - but by 2035, they will most likely reach it.

  • that tiny bit of waste heat inescapably increasing the entropy of the universe.

  • Ultimately, across the universe, it is this irreversibility of calculations that drives

  • entropy to increase. forgetting information is therefore an essential

  • ingredient for defining an arrow of time. Does this mean that for yesterday and tomorrow

  • to have meaning, we must forget? Is the existence of the future implicitly

  • tied to our inability to remember? And it is now we can return to our lonely

  • civilization on the brink of universal heat death, in the far distant future

  • When all useful energy is used up, and entropy is at maximum - would time even have any meaning?

  • Fundamental physics does not yet have a definitive answer, but it is an intriguing possibility.

  • But we have now reached a turning point. The foundations of time and space can only

  • get us so far - and though they are useful, there is a revolution coming.

  • A new order that will lead directly to the last days of our lonely black hole world.

  • As we continue in our journey, we are going to have to explore new time, and new space.

  • Within their black hole shell, many of the civilisation resigned themselves to their

  • fate and dozed their way to the end. But a few curious minds, with their dwindling

  • energy, still wondered about the universe. Great books that had existed for almost eternity

  • told them how space could bend and ripple, Central to these books was the story of light.

  • They knew that light’s speed was immense, and had used it to help measure their empire.

  • They knew that light was a limit they could never break, no matter how hard they had tried.

  • And they knew that the speed of light had been the first step in the long journey to

  • understand how the universe really worked.

  • "When you are next out of doors on a summer night, turn your head towards the zenith. Almost vertically above you will be shining

  • the brightest star of the northern skiesVega of the Lyre, twenty-six years away at the

  • speed of light, near enough to the point of no return for us short-lived creaturesfor

  • no man will ever turn homewards beyond Vega, to greet again those he knew and loved on

  • Earth." The speed of light has always been mysterious.

  • Early experiments in flashing lights back and forth had shown that it must be much faster

  • than sound. So scientists wondered - was it infinite in

  • speed? It was in 1676 that Danish astronomer Ole

  • Romer finally found the answer. Romer was observing the moons of Jupiter as

  • they circled the giant planet. And timing just when they entered the gas

  • giant´s planetary shadow. He had assumed that the orbits ticked like

  • clockwork, And so would be able to predict just when

  • the eclipses of the moons would begin and end.

  • But as he observed the moon Io throughout the year, his predictions got steadily worse,

  • and then better again. It became clear that the accuracy of his predictions

  • depended upon our distance to Jupiter, And he would need to include the extra time

  • taken by light having to travel further. And so with Romer´s data fellow astronomer

  • Christian Huygens calculated that light must move at more than 211,000 km every second,

  • not far off our modern estimate of about 300,000 km per second.

  • Romer’s observations confirmed that light was fast and finite - but precisely what light

  • was would have to wait for two centuries - for as well as the confusing implications of James

  • Clerk Maxwell's demon, he is also famous for intertwining electricity and magnetism into

  • a single idea - electromagnetism. Light, he found, was nothing more than a self-propagating

  • combination of the two - and written too into his equations was light’s blistering speed.

  • But there was still a problem. Just what was this speed relative to?

  • Maxwell’s equations gave no answers, so physicists began to search for a solution.

  • Perhaps, they hypothesised, light travelled in an invisible medium? A mysterious ether

  • permeating the entire cosmos? But that would also imply an ultimate state

  • of rest in the universe - a worrying thought, as that would break Galileo’s relativity.

  • The problem was severe - so whilst one group of physicists set out to measure the properties

  • of this supposed ether, others took the evidence in front of them and made an even larger leap.

  • And chief among them was a young Albert Einstein. Einstein wondered why electricity and magnetism

  • would not obey Galileo’s relativity. Why should experiments specifically using

  • the flow of electricity or spin of a magnet reveal absolute motion?

  • In a bold step he declared that they cannot. And with that, the special theory of relativity

  • was born. On Galileo’s ship, Einstein proposed, all

  • experiments would yield the same results, whether the ship was secured in port, or smoothly

  • sailing on a glassy sea. Throwing a ball would of course not reveal

  • whether the ship was moving But neither would measuring the speed of light!

  • The speed of light in a vacuum was constant - no matter the source.

  • This final statement seemed to fly in the face of the universe as laid out by Newton.

  • In Newtonian mechanics you could simply add speeds together.

  • And each observer would measure differing speeds dependent upon their own motion.

  • But according to Einstein, this was not the case for light.

  • Everyone would measure the same speed. Whether the ship was stationary, going at 50 knots,

  • or 50,000. However if this was true, something else had

  • to give - and the only freedom in the equations was the very nature of space and time themselves.

  • To work, each observer must have their own measurement of space.

  • And each observer must have their own measurement of time.

  • With special relativity, it was the speed of light that was absolute - not space and

  • time. Space and time were no longer the universal

  • stage on which physics played out. And just as Maxwell had combined electricity

  • and magnetism, Spacetime too was about to unite.

  • Gentlemen! The views of space and time which I wish to lay before youThey are

  • radical. Henceforth space by itself, and time by itself, are doomed to fade away into mere

  • shadows, and only a kind of union of the two will preserve an independent reality.”

  • In 1908 Herman Minkowski, Einstein´s former professor, came up with an idea.

  • In reaction to the revelations of special relativity in 1905, he had decided to explore

  • the geometry of these new equations. In Einstein’s formulation, space was space

  • and time was time, And to transform from one observer’s viewpoint

  • to another, you needed to mix the two together. But Minkowski pointed out that it was simpler

  • to mix space and time together - into spacetime. And to transform one observer’s spacetime

  • to another through geometry. And so finally, combined spacetime was born.

  • This new melding of the three dimensions of space and one dimension of time has come to

  • be known as "Minkowski Space" - though Minkowski himself tragically died in 1909 before his

  • idea had been fully embraced by the physics community.

  • Newtonian space and time had been completely upended - but Einstein was still not happy.

  • Though his ideas had revolutionized our ideas of space and time, they could not account

  • for gravity. Newton’s gravitational equations needed

  • the distance between masses And special relativity now told us that no

  • one could even agree on what these distances were.

  • So he went back to the drawing board and spent a decade thinking about gravity.

  • What eventually emerged from these ruminations in 1915 was a solution that shocked physics

  • to its core. Einstein took Minkowski’s geometric picture

  • of spacetime, and made both space and time bendy and stretchy, the presence of mass and

  • energy producing the curvature. Within his general theory, Einstein concluded

  • that gravity, as a force, simply did not exist - the effects of gravity were encoded within

  • the curvature of space and time. Newton’s picture of space and time was well

  • and truly dead, for not only were space and time relative, they were flexible as well.

  • The consequences of Einstein’s vision of relativity were quickly uncovered.

  • In the special theory the relative tick of clocks depended on motion.

  • And whilst everyone feels time passing at one second per second,

  • Different clocks will tick off different amounts of time.

  • With the coming of the general theory, time was shaken even more,

  • As where you are also influences the tick of your clock.

  • The presence of mass curves space and curves time,

  • And so gravity can dictate the relative ticking of a clock.

  • In 1916, Karl Schwarzschild solved the field equations of relativity for a spherical mass,

  • and written inside his equations was a completely collapsed mass, squeezed into a point,

  • Whilst it did not get its name for another fifty years, Schwarzschild had the mathematics

  • for a black hole. Schwarzschild’s solution showed that black

  • holes bend both space and time - and with this intense curvature comes intense gravitational

  • pulls - not even light able to escape. In the vicinity of a black hole, where gravitational

  • fields are immense, Time becomes more and more curved as you get

  • closer to the centre. Compared to clocks in the distant universe,

  • near the heart of darkness time ticks very slowly.

  • And it wasn't just black holes that sprung from the new equations.

  • In the century since Einstein’s gravitational insights, many more bizarre solutions have

  • been found. Throughout the relativistic literature there

  • are wormholes, warp drives and even entire curved universes.

  • All built from the malleable nature of space and time.

  • In 1919, observations of the deflection of starlight proved his theory and made Einstein

  • a scientific superstar - and so scientists turned their attention to measuring the effects

  • of general relativity exactly, to further cement the concept.

  • One of the weirdest of these experiments was undertaken by Joseph Hafele and Richard Keating

  • in 1971. Their equipment was a series of accurate caesium

  • clocks, and a set of jet plane journeys that completely encircled the Earth.

  • To begin the experiment, all the clocks were placed in the same location and synchronised.

  • Some of the clocks then headed off on a plane, some heading to the East, and others to the

  • West - some moving with the Earth’s rotation, others against it. $7600 was spent on flights,

  • with two seats on each plane going toMr Clock.”

  • And because they were flying, they were in a different gravitational field to the clocks

  • left behind on the ground. After the clocks had circled the world twice,

  • they were all brought together. If the universe was governed by Newton’s

  • absolute time, they should all have remained in sync.

  • But if Einstein was correct, relative motions and spacetime curvature would have desynced

  • them. The experiment was run, and the clocks were

  • reunited. They differed by a few hundred nanoseconds.

  • Einstein was declared the winner. But there is one more test of relativity that

  • has proven to be the most spectacular. In developing relativity, Einstein found that

  • stretchy spacetime can wobble and ring. Just as Maxwell found that electricity and

  • magnetism can ripple, so could gravity. But he could not decide if his mathematics

  • were correct or if he was fooling himself And struggled to conclude whether these gravitational

  • waves were part of reality. In 1974, Russell Hulse was a young astronomy

  • student who made a spectacular discovery. With his supervisor, Joseph Taylor, he was

  • peering at the universe with the 300m Arecibo Telescope, and he found a pulsar, a rapidly

  • spinning dead heart of a star that flashed radio waves.

  • This pulsar, PSR B1913+16, was spinning 17 times a second - and was not on its own, but

  • orbited another dead star heart, a neutron star.

  • And with the regular beeps of the pulsar, they were able to accurately chart out the

  • cosmic dance. What they found, however, was quite unexpected.

  • With Newtonian gravity, these dead stars would orbit each other for eternity,

  • But Taylor and Hulse found that the orbits were shrinking,

  • And the stars were slowly but steadily being drawn together.

  • Somehow the energy of their orbits was leaking out into the universe.

  • Taylor and Hulse realised Einstein’s gravitational waves were an ideal culprit.

  • They delved into the mathematics of general relativity,

  • And calculated how the orbiting stars form ripples in spacetime - showing how they carry

  • away precisely enough energy to explain the orbital demise.

  • In 1993, Taylor and Hulse received the Nobel prize for their discovery - and 24 years later,

  • the prize was awarded for the direct detection of gravitational waves.

  • The experiment was the Laser Interferometer Gravitational Wave Observatory, or simply

  • LIGO for short, which with unimagined sensitivity, can feel the tiny ripples of spacetime.

  • LIGO has opened a new and exciting window on the universe

  • They are uncovering merging black holes and the collisions between neutron stars.

  • And now astronomers even plan to hunt for the oldest gravitational waves, formed in

  • the birth of the universe. And so, in this new world ushered in by Einstein,

  • it is clear that the entire cosmos is written in the language of gravity, of curved and

  • warped space and time. But there was one more secret to uncover hidden

  • in the equations. First realised by Alexander Friedman in 1922

  • and later proved by Edwin Hubble, the expansion of the universe is the expansion of space

  • - expanding from an infinite point 13.8 billion years ago known today as the Big Bang.

  • Put simply: there was less space yesterday, and there will be more space tomorrow.

  • Every galaxy is moving further and further away from us, bar our local group, at an average

  • rate of 70 km/s/Mpc - which actually means that at the moment, for every 3.26 million

  • light-years distance from us a galaxy is, it is moving away from us at an extra 70 km/s/mpc.

  • So a galaxy 326 million light years from us is moving at 7000 km/s. And a galaxy 32.6

  • billion light years away? It recedes from us faster than the speed of light.

  • This may seem bizarre, after everything we have learnt up until this point - but the

  • universe´s speed limit only applies to objects moving through space - and these galaxies

  • do not move through space. Space simply gets between them.

  • This expanding universe makes curving and bending spacetime even more complex to understand.

  • As equations show that space is infinite, what is happening is that the universe is

  • actually becoming less dense. And clearly, this decrease in density is not

  • completely uniform across the universe. You, for example, are not slowly drifting

  • apart. Individual galaxies too hold themselves together

  • due to their mutual gravity, But as this gravity is a manifestation of

  • the curvature of space, What happens at the boundary between expanding

  • and non-expanding space? And that is not the only headache - as expanding

  • space makes the form of yesterday’s spacetime different to tomorrow’s spacetime - thus

  • breaking what was thought to be one of the key properties of the universe - conservation

  • of energy. The importance of symmetry in physics was

  • laid out in detail by mathematician Emmy Noether - in this case a symmetry meaning that when

  • you change your situation, the physics remains the same.

  • Changing location doesn’t change physics, meaning momentum is conserved.

  • And the fact that physics is the same today and tomorrow gives energy conservation.

  • But in an expanding universe, where spacetime is changing, this symmetry is shattered.

  • As space grows it doesn´t stretch - it doesn´t dilute.

  • There is just more of it. But as they travel across an expanding universe,

  • photons are stretched, and they lose energy - and galaxies are robbed of their speed as

  • their motion grinds to a halt. Energy is simply not conserved as the cosmos

  • grows, and this is a conundrum that causes problems for physicists to this day.

  • And so, it may now seem that space has finally become physical, real - it can bend, expand,

  • curve and ripple. But there is a final twist, one final rug

  • to be pulled out from beneath us. It can be summed up in the words of the Nobel

  • prize winner Steven Weinberg...

  • To the novice, this statement must seem almost

  • bizarre. How can a leading scientist make such a claim?

  • Well, because he is absolutely correctin Einstein’s relativity, spacetime is truly

  • nothing. The mathematics look like bending and curving.

  • But in reality, relativity tells us space is nothing and has no properties.

  • But what of time in this new picture? How were seconds, hours and minutes affected

  • by the dawn of relativity?

  • To the future civilization, time meant many things. They knew that their time was unique, unshared

  • by any others. They understood that clocks ticked differently,

  • Dependent on where you are and what you are doing.

  • Their engineers had used this malleable nature of spacetime in shaping their civilization.

  • Great portals of distorted time and space allowed travel across the empire.

  • Whilst the slow ticks near the gravitational pull of a black hole had been used to slow

  • time and allow them to watch the end of everything.

  • "People like us who believe in physics know that the distinction between past, present, and future is only a stubbornly persistent

  • illusion." WIth the coming of Einstein’s general relativity,

  • physicists were presented with a new headache. They knew that every particle in the universe

  • had a past, present and future. And like a line drawn on a map, they could

  • chart the journey of a particle through the four dimensions of space and time, tracing

  • out its worldline from the past to the future through a series of nows.

  • Each particle in your body, each electron and quark, journeys on its own worldline.

  • Before you were conceived, the worldlines were dispersed.

  • But as you grew, many wordlines condensed into a bundle which is you.

  • And when you are gone, these worldlines will again scatter.

  • For a fleeting moment in the life of the universe, You exist as little more than a collection

  • of wordlines, a brief knot in the fabric of eternity.

  • Whilst unsettling, this appears to make sense, so where is the headache?

  • Firstly, we have to remember what the relativity of time really means.

  • With no absolute time, there is no uniform cosmic clock,

  • And this means that there is no such thing as a unique present, a true instant of now.

  • Without an absolute definition of a cosmic now, how do we define a unique notion of the

  • past? Without a now, just where does the future

  • begin? Headache.

  • Within the equations of relativity, all pasts, presents, and futures are already written.

  • The entire history of all things is already out there - somewhere.

  • This notion, known as theblock universe’, has bothered many physicists and philosophers,

  • as without a now, the cosmos cannot simply unfold from moment to moment.

  • All we can do as we trace out our worldline is follow our predefined path.

  • And concepts dear to us, such as free will, are lost.

  • But this cannot be correct. We clearly remember the past, and the future

  • is a mysterious door that has yet to be opened. They are clearly different.

  • Or are they? Consider two electrons hurtling towards each

  • other. Both carry an identical negative charge, and,

  • through electromagnetism, they repel. As they get closer, the repulsion grows and

  • their motion gradually slows, stops, and reverses. Eventually, the electrons hurtle away from

  • each other, back the way they came. There seems nothing strange about this.

  • But imagine we filmed the interaction between the two electrons.

  • And then showed the film to an audience of physicists - playing a mirrored version, the

  • left switched to right and vice versa. Your audience of physicists would still notice

  • nothing amiss with the movie on the screen. Switching left and right does not alter the

  • physics. On the screen, the electrons approach and

  • repel - all appearing to be completely normal. But what if you went one step further - what

  • if you were very clumsy and instead of switching left and right you switched past and future?

  • The film now runs backwards. Time has been reversed.

  • Your audience stares at the screen. What do they see?

  • In this time-reversed movie, two electrons hurtle towards each other.

  • They get closer and closer, with their repulsion growing.

  • Eventually, they halt in their motion and start to move away again.

  • With nothing out of the ordinary, the audience nods in approval at this simple display of

  • physics. But how is this possible?

  • If you had run the slapstick of Laurel and Hardy backwards, the viewers would have noticed

  • - and would immediately know that something was wrong with the arrow of time.

  • And herein lies the question: why is the electromagnetic interaction between electrons insensitive

  • to the direction of time? And not just electromagnetism, but gravity

  • and the strong nuclear force are also unaffected. The weak nuclear force does misbehave slightly

  • - but it is a very tiny effect. It seems that at their core, the universe’s

  • microscopic fundamental interactions do not possess an arrow of time.

  • Time could flow one way or the other, and they simply would not care.

  • But this leaves us with a disconnect. The macroscopic, large scale world we inhabit

  • certainly does know about time. Cooling coffee, burning wood, exploding supernovae

  • - these are not processes that simply can be run backwards. You cannot unscramble an

  • egg. With a little thought, this seems a little

  • bit strange. Our large scale world is nothing more than

  • the collective properties of an uncountable number of atoms.

  • And these atoms are interacting through a fundamental force, electromagnetism, each

  • of the myriad of electromagnetic interactions unaffected by the direction of time.

  • How can such an arrow emerge from the multitude of time ignorant interactions that take place

  • every second? How does time emerge?

  • Some have claimed there is a definitive arrow, an imprint of a cosmological arrow of time.

  • In the simple view of the block universe it stretches infinitely far into the past, and

  • into the future. But this block universe clearly doesn’t

  • appear to resemble our own. For we know that our universe didn’t stretch

  • infinitely into the pastit had a beginning. From observations, we know that the universe

  • was born almost fourteen billion years ago. We don’t know the process that brought it

  • into being, but it was born with both space and time.

  • Just where and how space and time came to be in the universe remains a mystery.

  • But they have remained an integral part of the cosmos over all of its history.

  • But there are other mysteries about the birth of the universe that we don’t understand.

  • And in particular, it appeared to be extremely special, being both hot and dense, and strangely

  • smooth. And this smoothness meant that the newborn

  • universe had a very peculiar property. The universe was born with very low entropy.

  • It might seem strange that smoothness implies low entropy.

  • As a gas spread throughout a room has higher entropy than gas all squeezed in one corner.

  • But for matter in the universe, this smoothness meant gravity could do its work, and fall

  • together and eventually clump into stars and galaxies.

  • And so as the universe expands, its entropy increases as the matter evolves.

  • Gravitational potential energy is steadily converted into stars, planets, and people.

  • Eventually, this energy is processed into waste heat that spreads throughout the universe.

  • And it is this change from low to higher entropy that imprints onto the cosmos its arrow of

  • time. Recent Nobel Prize winner, Sir Roger Penrose,

  • has thought hard about our universe’s initial entropy.

  • He concluded that the probability of this occurring by chance is one part in 10 to the

  • 10 to the 123. Clearly, there must have been something special

  • about our universe’s birth. But what this was, we still don’t know.

  • And so would this mean that the block universe has no innate arrow of time?

  • Without the big bang would it be impossible to distinguish the past from the future?

  • Imagining how we would experience such a universe is very difficult to do.

  • But indeed, maybe our ability to imagine anything at all is ultimately because of the special

  • birth of the universe.

  • On the tenth of June 1944, a British Halifax bomber was flying over France. With four hundred other bombers, it was supporting

  • the D-Day landings in Normandy. But near the city of Laval, the aircraft was

  • struck by German flak. And crashed in flames into the French countryside.

  • The entire crew perished in the crash. Seven lives were lost, seven lives in a war

  • that eventually claimed millions. The pilot was a thirty-three-year-old Dutch

  • volunteer, Willem Jacob van Stockum. And whilst his name is not familiar today,

  • van Stockum was the man who discovered time travel.

  • Of course, by the 1940s, time travel was a staple of science fiction.

  • The Time Machine by H. G. Wells had been published half a century earlier.

  • But this was all fantasy and whimsy - and a firm impossibility in Newtonian space and

  • time. Yet within the new world of relativity - van

  • Stockum had discovered a scientific basis. Mathematically, relativity is notoriously

  • challenging. Einstein himself had wondered if his field

  • equations would yield any analytic solutions. But merely a year after presenting them to

  • the world, the first such solution was found, as Schwarzhild derived his black holes.

  • And so by the 1920s, the hunt was on for the mathematical form of the entire universe.

  • Along with the giants of relativity - Einstein, Friedmann, de Sitter and others - laying down

  • rules, finding expanding space which itself could

  • be curved and even space where parallel lines could converge and diverge - some scientists

  • explored the mathematics of hypothetical universes. And Hungarian mathematician Cornelius Lanczos

  • had found a rather peculiar solution. His equations described a universe of dust

  • that was rigidly rotating. And whilst it didn’t appear to describe

  • our actual universe, it was an intriguing result.

  • van Stockum began to wonder about the journey of particles through such a rotating universe.

  • As particles traveled from the past to the future, worldlines stretched around the universe.

  • But as the universe rotated, time and space were stretched and distorted.

  • And the nature of time itself became indistinct. Some worldlines stretched right around the

  • universe and met themselves, forming closed loops.

  • Along these, the future trod over the path of the past, over and over again.

  • Physicists call these closed-loop worldlines time-like paths.

  • But in everyday language, it was nothing less than time travel.

  • That space and time can be so warped as to allow time travel was shocking.

  • And whilst the rotating universe might not be physically realistic, it opened up the

  • question of whether there were other routes to the past

  • Or shortcuts to the future. van Stockum’s goal was to head to Princeton

  • to work directly with Einstein. But as the clouds of war were gathering, he

  • looked back to Europe. Once his homeland was occupied, his desire

  • was to get into the fight. And van Stockum’s own worldline ended in

  • a French field on a dark night in 1944. Whilst van Stockum’s name is now lost to

  • history, time travel and rotating universes are not - as they were rediscovered by the

  • eccentric mathematician Kurt Godel, in 1949. Godel is remembered today as one of the greatest

  • logicians of all time, and his famous incompleteness theorem still baffles today.

  • But his contribution to physics was equally shocking.

  • Escaping the turmoil in Europe as the storm cloud of the second world war gathered, unlike

  • van Stockum Godel did reach Princeton University. There he and Einstein became firm friends,

  • with Einstein supporting his application for American citizenship, specifically by distracting

  • him from pointing out flaws in the United States constitution to the judge seeing his

  • case. It was at Princeton that Godel turned his

  • remarkable mathematical mind to relativity, and the nature of spacetime - and in 1949,

  • Godel’s 70th birthday present to Einstein was a solution to the field equations of relativity.

  • Like Van Stocken, he had found the mathematics of a rotating universe - and closed time-like

  • curves that looped around his cosmos! On receiving his present, Einstein was, in

  • his own words, “disturbedby the possibility. Godel´s wife had apparently knitted him a

  • sweater too, but it was not part of the final gift. History does not recall why.

  • Einstein died soon after, in 1955 and Godel followed him in 1978.

  • As an old man, Godel asked astronomers if they had found if the universe was truly rotating.

  • The answer was alwaysno it isn’t” - and that Godel’s universe is not our own.

  • But the possibility that Einstein’s relativity potentially allowed time-travel sent researchers

  • back to their equations. Could time and space really be bent back on

  • themselves so far to allow temporal exploration? Physicists have continued to find mathematical

  • shortcuts through space and time, and there are now many solutions to Einstein’s

  • equations in which space and time are extremely warped.

  • It would seem that in Einstein's relativity, time travel remains a stubborn theoretical

  • possibility. As an example, if you add spin to a black

  • hole, space and time twirl also. And if you dive right through the centre,

  • you might emerge somewhere and somewhen else. Another relativistic structure, a wormhole,

  • builds a spacetime bridge between two locations, And potentially between two different times

  • - but not necessarily a shortcut. So time travel appears to be written into

  • the equations of relativity. The reality of these solutions, whether they

  • can truly exist, remains unanswered. Perhaps we will never be able to focus enough

  • energy into a single place For spacetime to bend right back on itself.

  • We now understand how Einstein's space time works - but we still don’t know what it

  • is. Where can we turn next?

  • Well - it was not just Einstein who was charting a new path at the beginning of the 20th century.

  • It was a dramatic period for theoretical physics - and quantum mechanics was at the forefront

  • of the changing order. And so - perhaps, physicists thought - the

  • answer could lie at the smallest scales in the universe.

  • In the far future, the civilization had become desperate.

  • The stars had long died, and matter itself was starting to melt.

  • Very few remained now, almost frozen in the darkness.

  • The last of life grinding to a halt. But some eyes still stared into the skies,

  • To witness the last bursts of light in the universe.

  • The great books had told them this time would come,

  • Warning them that not even black holes would last forever.

  • Whilst the immense gravity of relativity held them together

  • On the smallest scale, the action of the quantum world resulted in their ultimate decay.

  • For eons they had struggled to combine the two - the world of gravity had seemed so distant

  • from the quantum. And so too their black hole home was dissolving.

  • They could do nothing to stop it. Indeed, the last few were so very tired,

  • They didn’t even try.

  • "A university student attending lectures on general relativity in the morning and others on quantum mechanics in the afternoon might

  • be forgiven for thinking that his professors are fools, or have neglected to communicate

  • with each other for at least a century." There is a grave at Roselawn Cemetery in Tallahassee

  • Florida. Written on it is the name of a man who died

  • in 1984, aged 82. Unlike the others in the graveyard, the man

  • also has a plaque at Westminster Abbey, Not far from the mortal remains of Isaac Newton.

  • The plaque does not say much. It labels the man as a physicist and notes

  • his birth and death. But on the plaque is also an equation, a complex

  • mix of Latin and Greek letters. And this equation was the first unification

  • of Einstein’s relativity and quantum mechanics. The famous physicist Niels Bohr referred to

  • Paul Adrien Maurice Dirac as the strangest man to visit his institute.

  • Born in Bristol at the beginning of the twentieth century, he did not at first seem destined

  • for scientific greatness. In 1923, Dirac began his studies at the University

  • of Cambridge. famously focused on his science, He shunned

  • many human interactions, and his conversations were mainly silent. His colleagues named the

  • unit of one word per hour as a “diracin his honour.

  • But whilst speech was slow, his mind raced around the problems of physics.

  • It was a heady time to be a physicist, with both Einstein's new world of relativity and

  • the bizarre implications of quantum mechanics opening up - were the fundamental secrets

  • of the universe finally revealing themselves? When Dirac began his exploration of quantum

  • mechanics it was written in the past. The mathematics of Schrodinger and Heisenberg

  • played out on the stage of Newton. With the tick of an absolute clock, and Galileo’s

  • vision of space. But Dirac knew that this picture of space

  • and time was simply outdated. Surely the equations of quantum mechanics

  • should reflect Einstein's new visions of space and time.

  • This bothered Dirac, and he scrambled with the mathematics trying to make it work, spending

  • his Sundays walking alone turning over the equations in his mind.

  • And in December 1927, the fog began to clear. A relativistic quantum equation came into

  • view. An equation that obeyed Einstein’s demand

  • that there is no special rest in the universe. And Dirac used this equation to explain the

  • simplest of particles, the electron. Suddenly, various peculiar properties of the

  • electron made mathematical sense. Within Dirac’s equation, the electron spins

  • and behaves like a small bar magnet, Both properties had been difficult to explain,

  • but they were a natural consequence of relativity. But there was another property that was completely

  • unexpected. If you take the square root of one, there

  • are two solutions - plus one or minus one. In the same way, in explaining the electron

  • the Dirac equation has two solutions. One solution is negatively charged and clearly

  • represents the electron. But just what does the positive solution correspond

  • to? Dirac wondered if it could be the proton,

  • the positively charged particle within the nucleus.

  • But being almost two thousand times more massive, that could not be correct.

  • He eventually concluded his equation was predicting a new particle, the anti-electron.

  • This particle should have the same mass as the electron but have the opposite, positive,

  • charge. Antimatter.

  • The Dirac equation was the birth of quantum field theory, the most successful physical

  • theory. It is with these mathematics we describe all

  • of the fundamental particles and forces, the basis of the modern standard model.

  • And for each of the particles, there are anti-particles, electrons, positrons, quarks and anti-quarks.

  • All a consequence of Einstein’s view of relative space and relative time.

  • But quantum field theory is built on Einstein’s special theory of relativity.

  • What of gravity and the general theory of relativity?

  • What if we incorporate curved spacetime into the Dirac equation?

  • Unfortunately, after such incredible early success - the last century has brought us

  • no further in this quest. Within quantum field theory, the quantum wave

  • function that underlies existence still plays out within the arena of space and time.

  • Because of special relativity, this spacetime is more complex than Newton’s view, but

  • space and time are still the universal stage. And this stage is broken when considering

  • the curved spacetime of general relativity. Remember, in the general theory of relativity,

  • space and time are dynamic and evolving. They are not simply the stage - they are players

  • in the physics of the universe. Quantum mechanics was complicated enough,

  • but after many years of work its various infinities had ultimately been tamed.

  • With curving, bending, rippling spacetime - the infinities seemed uncontrollable.

  • With the failure to simply merge gravity and quantum mechanics, some physicists have searched

  • elsewhere. This has involved going back to the drawing

  • board, with new ideas for just what space and time are in the quest for the so-called

  • theory of everything” - the so-far fruitless search to tie the microscopic quantum world

  • to the macroscopic world of general relativity and fully explain the universe.

  • And of course these theories of everything have not necessarily made things simpler.

  • In one of the leading contenders, string or m-theory, there might be 11 or even 26 dimensions.

  • But what do these ideas have to say about the fundamental nature of space and time?

  • Again it’s not so simple. In m-theory, space and time are part of the

  • fundamental structures of the universe. The strange, contorted shape of this structure

  • in multiple dimensions explains everything. Not just space and time, but all matter, all

  • radiation, and all of the forces. What are these fundamental structures made

  • of? M-theory doesn't tell us. Another contender for the theory of everything

  • is loop quantum gravity. On the face of it, this theory is even more

  • bizarre, with space and time being quantum phenomena.

  • At the tiny Planck scale, spacetime is chunky, fundamentally meshed together into a network.

  • And to us, this subatomic mesh has the appearance of smooth space and time.

  • Again, we can ask - what are these quantum grains made of?

  • And again, we are left disappointed as they just are.

  • But perhaps the solution is simpler than this. Perhaps - some have speculated - space and

  • time do not exist at all. Remember at the start of this story we heard

  • the disagreement between Newton and Leibniz. To Newton, space and time were part of reality

  • and existed independent of the matter in the universe.

  • Leibniz, however, said that it was the relationships between matter that defined space and time.

  • Without them, space and time would have no meaning.

  • And the relativistic vision of spacetime seemed to match this picture.

  • Einstein told us that matter defined the structure of spacetime,

  • And spacetime told matter what to do. We know that in the quantum picture, spacetime

  • appears to be lumpy. And that reality is possibly constructed of

  • these bits of spacetime as the universe grows. But what if space and time are not really

  • there? What if space and time are actually emergent

  • phenomena, something we experience only as macroscopic beings?

  • This might sound strange, but we know that we are sandwiched in the universe.

  • This means that we don’t feel the cosmological expansion that dominates the large-scale universe.

  • And similarly, we don’t feel the individual feel individual atoms as they collide with

  • our skin. Instead, we have a collective term, temperature

  • to describe what is happening. Perhaps space and time are the same?

  • In 1997, Juan Maldacena found a key relationship in the mathematics of string theory and gravity.

  • Known as the AdS/CFT correspondence, it could be accidental and of no consequence, but it

  • could also be pointing to something deeper, The path to uniting quantum mechanics and

  • gravity. But if this is the right path, something else

  • emerges. Through this relationship, space and time

  • become granular: pieces of fundamental length and fundamental time - Planck scale pixels

  • that set the smallest resolution of the universe. This would mean that at the smallest scales,

  • space and time would appear as nothing more than grains of sand on a beach.

  • And so, perhaps there is no space between the grains of reality - no time between one

  • grain and another. Perhaps to these grains, these are concepts

  • that make no sense - there are only their relations, how they interact.

  • For us, much larger than the scale of these grains, there is the concept of space.

  • And somehow through the relationships of the grains, we experience the experience of experience.

  • But underlying this, maybe ultimately, space and time simply don’t exist,

  • There are just fundamental bits and pieces, and their inter-relationships.

  • This may feel uncomfortable. Just where is theyouin this relational

  • universe? Perhaps it is best to think of it like this:

  • Most of us have come to terms with the fact that we are physically a collection of atoms.

  • And somewhere in this collection, we, our consciousness, somehow emerges.

  • We seem to be able to live with this illusion of our being.

  • Maybe all we need to do is the same for the stage on which we play out our existence.

  • And so, we have come a long way and are approaching the end of our journey.

  • Space and time, our focus along our path, both seemed so natural, seemed so normal.

  • But we have seen that they are far more strange, more mysterious than they first appear.

  • Though the space and time of Newton were simple and absolute, they became more complex with

  • Einstein’s curving spacetime. And the quantum nature of spacetime attempts

  • to dice space and time into little pieces. But are we any closer to really understanding

  • its true nature? A lot of hope is pinned on our next fundamental

  • theories, That a theory of everything will eventually

  • shine a light on the universal stage. And maybe written into the theory will be

  • the true nature of space and time. Perhaps the block universe will be banished

  • as the universe unfolds. Perhaps quantum processes are constructing

  • a “nowone instant at a time. Or perhaps some process we have yet to imagine

  • is defining reality. But, of course, nature is not bound to reveal

  • its secrets. No matter how hard scientists work, they may

  • never reveal the fundamental truth. We must face the fact that some mysteries

  • might remain forever mysteries - indeed just what space and time actually are could forever

  • be beyond our grasp. And so, finally we return to the twilight

  • of the cosmos. WIthin their home, the last few watched their

  • black hole slowly evaporate. All they wanted was to eke out one more day,

  • one more moment. But eventually, the decay of the universe

  • could no longer be shut out. They had manipulated space, they had mastered

  • time, bent them to their will. But they could not defeat them.

  • And then, there was darkness.

A hundred trillion years from now, the last of a great civilisation hides in the darkness.

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What Actually Are Space And Time?

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    Fang Lu に公開 2023 年 12 月 13 日
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