Are we living in a computer simulation?
The question seems absurd. Yet there are plenty of smart people who are convinced that this is not only possible but perhaps likely.
In an influential paper that laid out the theory, the Oxford philosopher Nick Bostrom showed that at least one of three possibilities is true: 1) All human-like civilizations in the universe go extinct before they develop the technological capacity to create simulated realities; 2) if any civilizations do reach this phase of technological maturity, none of them will bother to run simulations; or 3) advanced civilizations would have the ability to create many, many simulations, and that means there are far more simulated worlds than non-simulated ones.
We can’t know for sure which of these is the case, Bostrom concludes, but they’re all possible — and the third option might even be the most probable outcome. It’s a difficult argument to wrap your head around, but it makes a certain amount of sense.
Rizwan Virk, a computer scientist and video game designer, published a 2019 book, The Simulation Hypothesis, that explores Bostrom’s argument in much greater detail and traces the path from today’s technology to what he calls the “Simulation Point,” the moment at which we could realistically build a Matrix-like simulation.
I know nothing about computer science, but this idea that we’re all characters in an advanced civilization’s video game is, well, kind of awesome. So I reached out to Virk and asked him to break it down for me.
A lightly edited transcript of our conversation follows.
Pretend I know absolutely nothing about the “simulation hypothesis.” What the hell is the simulation hypothesis?
The simulation hypothesis is the modern equivalent of an idea that’s been around for a while, and it is the idea that the physical world that we live in, including the Earth and the rest of the physical universe, is actually part of a computer simulation.
You can think of it like a high resolution or high-fidelity video game in which we are all characters, and the best way to understand it within Western culture is the movie The Matrix, which many people have seen, or even if they haven’t seen [it], it’s become a cultural phenomenon now beyond the film industry.
In that movie, Keanu Reeves plays the character Neo, who meets a guy names Morpheus, who is aptly named after the Greek god of dreams, and Morpheus gives him a choice of taking the red pill or the blue pill. And if he takes the red pill, he wakes up and realizes that his entire life, including his job, the building he lived in, and everything else, was part of this elaborate video game, and he wakes up in a world outside of the game.
That is the basic version of the simulation hypothesis.
Are we living in a simulated universe right now?
There are lots of mysteries in physics that are better explained by the simulation hypothesis than by what would be a material hypothesis.
The truth is that there’s much we simply don’t understand about our reality, and I think it’s more likely than not that we are in some kind of a simulated universe. Now, it’s a much more sophisticated video game than the games we produce, just like today World of Warcraft and Fortnite are way more sophisticated than Pac-Man or Space Invaders. They took a couple of decades of figuring out how to model physical objects using 3D models and then how to render them with limited computing power, which eventually led to this spate of shared online video games.
I think there’s a very good chance we are, in fact, living in a simulation, though we can’t say that with 100 percent confidence. But there is plenty of evidence that points in that direction.
When you say there are aspects of our world that would make more sense if they were part of a simulation, what do you mean exactly?
Well, there are a few different aspects, one of which is this mystery they call quantum indeterminacy, which is the idea that a particle is in one of multiple states and you don’t know that unless you observe the particle.
Probably a better way to understand it is the now-infamous example of Schrödinger’s cat, which is a cat that the physicist Erwin Schrödinger theorized would be in a box with some radioactive material and there was a 50 percent chance the cat is dead and a 50 percent chance the cat is alive.
Now, common sense would tell us that the cat is already either alive or it’s dead. We just don’t know because we haven’t looked in the box. We open the box and it’ll be revealed to us whether the cat is alive or dead. But quantum physics tells us that the cat is both alive and dead at the same time until somebody opens up the box to observe it. The cardinal rule is the universe renders only that which needs to be observed.
How does Schrödinger’s cat relate to a video game or a computer simulation?
The history of video game development is all about optimizing limited resources. If you asked somebody in the 1980s if you could you render a game like World of Warcraft, which is a full three-dimensional or a virtual reality game, they would say, “No, It would take all the computing power in the world. We couldn’t render all those pixels in real time.”
But what happened over time was that there were optimization techniques. The core of all these optimizations is “only render that which is being observed.”
The first big game to successfully do this was called Doom, which was very popular in the 1990s. It was a first-person shooter game, and it could render only the light rays and objects which are clearly visible from the point of view of the virtual camera. This is an optimization technique, and it’s one of the things that reminds me of a video game in the physical world.
I’m going to do the thing that non-scientists always do when they want to sound scientific and invoke Occam’s razor. Isn’t the hypothesis that we’re living in a flesh-and-blood physical world the simpler — and therefore more likely — explanation?
I’ll bring up a very famous physicist, John Wheeler. He was one of the last physicists who worked with Albert Einstein and many of the great physicists of the 20th century. He said that physics was initially thought to be about the study of physical objects, that everything was reducible to particles. This is what’s often called the Newtonian model. But then we discovered quantum physics and we realized that everything was a field of probabilities and it wasn’t actually physical objects. That was the second wave in Wheeler’s career.
The third wave in his career was the discovery that at the core level, everything is information, everything is based on bits. So Wheeler came up with a famous phrase called “it from bit,” which is the idea that anything we see as physical is really the result of bits of information. He didn’t live to see quantum computers come into reality, but it’s looking more like that.
So I would say that if the world isn’t really physical, if it’s based on information, then a simpler explanation might in fact be that we are in a simulation that is generated based on computer science and information.
Is there any way, in principle, for us to prove definitively that we’re living in a simulation?
Well, there’s an argument the Oxford philosopher Nick Bostrom has made that’s worth repeating. He says that if even one civilization got to the point of creating one of these high-fidelity simulations, then they can create literally billions of civilizations that are simulated, each with trillions of beings, because all you need is more computing power.
So he’s making a statistical argument that there are more likely to be more simulated beings than there are biological ones, just because it’s so quick and easy to create them. Therefore, if we are conscious beings, we are more likely to be a simulated being than a biological one. That’s more of a philosophical argument.
If we were living in a computer program, I assume that program would consist of rules and that those rules could be broken or suspended by the people or beings who programmed the simulation. But the laws of our physical world seem to be pretty constant, so isn’t that a sign that this might not be a simulation?
Computers do follow rules, but the fact that the rules always apply doesn’t rule in or rule out that we could be part of a computer simulation. One of the concepts that ties into this is a concept called computational irreducibility, and it’s the idea that in order to figure something out, you can’t just calculate it in an equation; you have to actually go through the steps to figure out what the end result would be.
And this is part of a branch of mathematics called chaos theory. There’s the old idea that the butterfly flaps its wings in China and it results in a hurricane somewhere else in the world. To figure that out, you have to actually go through and model every step of the way. Just because the rules seem to apply doesn’t mean that we’re not in a simulation.
In fact, it could be more evidence that we’re in a simulation.
If we were living in a simulation as convincing as The Matrix, would there be any discernible difference between the simulation and reality? Why would it matter ultimately whether our world was real or illusory?
There are a lot of debates around this topic. Some of us wouldn’t want to know, and would rather take the metaphorical “blue pill” like in The Matrix.
Probably the most important question related to this is whether we are NPCs (non-player characters) or PCs (player characters) in the video game. If we are PCs, then that means we are just playing a character inside the video game of life, which I call the Great Simulation. I think many of us would like to know this. We would want to know the parameters of the game we’re playing so that we could better understand it, better navigate it.
If we are NPCs, or simulated characters, then I think it’s a more complicated answer and more frightening. The question is, are all of us NPCs in a simulation, and what is the purpose of that simulation? A knowledge of the fact that we’re in a simulation, and the goals of the simulation and the goals of our character, I think, would still be interesting to many people — and now we’re back to the case of the holodeck character from Star Trek that discovers that there is a world “out there” (outside the holodeck) that he can’t go to, and perhaps some of us would rather not know in that case.
How close are we to having the technological capacity to build an artificial world that’s as realistic and plausible as The Matrix?
I lay out 10 stages of technology development that a civilization would have to go through to get to what I call the simulation point, which is the point at which we can create a hyperrealistic simulation like this. We’re at about stage five, which is around virtual reality and augmented reality. Stage six is about learning to render these things without us having to put on glasses, and the fact that 3D printers now can print 3D pixels of objects shows us that most objects can be broken down as information.
But the really difficult part — and this is something not a lot of technologists have talked about — is in The Matrix, the reason they thought they were fully immersed was they had this cord going into the cerebral cortex, and that’s where the signal was beamed. This brain-computer interface is the area that we haven’t yet made that much progress in, but we are making progress in it. It’s in the early stages.
So my guess is within a few decades to 100 years from now, we will reach the simulation point.
This article was originally published on April 18, 2019.
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All the products we found to be the best during our testing this year
Throughout the year, CNN Underscored is constantly testing products — be it coffee makers or headphones — to find the absolute best in each respective category.
Our testing process is rigorous, consisting of hours of research (consulting experts, reading editorial reviews and perusing user ratings) to find the top products in each category. Once we settle on a testing pool, we spend weeks — if not months — testing and retesting each product multiple times in real-world settings. All this in an effort to settle on the absolute best products.
So, as we enter peak gifting season, if you’re on the hunt for the perfect gift, we know you’ll find something on this list that they (or you!) will absolutely love.
Beginner baristas and coffee connoisseurs alike will be pleased with the Baratza Virtuoso+, a conical burr grinder with 40 settings for grind size, from super fine (espresso) to super coarse (French press). The best coffee grinder we tested, this sleek look and simple, intuitive controls, including a digital timer, allow for a consistent grind every time — as well as optimal convenience.
Best drip coffee maker: Braun KF6050WH BrewSense Drip Coffee Maker ($79.95; amazon.com)
During our testing of drip coffee makers, we found the Braun KF6050WH BrewSense Drip Coffee Maker made a consistently delicious, hot cup of coffee, brewed efficiently and cleanly, from sleek, relatively compact hardware that is turnkey to operate, and all for a reasonable price.
Best single-serve coffee maker: Breville-Nespresso VertuoPlus ($165; originally $179.95; amazon.com)
Among all single-serve coffee makers we tested, the Breville-Nespresso VertuoPlus, which uses pods that deliver both espresso and “regular” coffee, could simply not be beat for its convenience. Intuitive and a snap to use right out of the box, it looks sleek on the counter, contains a detached 60-ounce water reservoir so you don’t have to refill it with each use and delivers perfectly hot, delicious coffee with a simple tap of a lever and press of a button.
Best coffee subscription: Blue Bottle (starting at $11 per shipment; bluebottlecoffee.com)
Blue Bottle’s coffee subscription won us over with its balance of variety, customizability and, most importantly, taste. We sampled both the single-origin and blend assortments and loved the flavor of nearly every single cup we made. The flavors are complex and bold but unmistakably delicious. Beyond its coffee, Blue Bottle’s subscription is simple and easy to use, with tons of options to tailor to your caffeine needs.
Best cold brewer coffee maker: Hario Mizudashi Cold Brew Coffeepot ($25; amazon.com)
This sleek, sophisticated and streamlined carafe produces 1 liter (about 4 1/4 cups) of rich, robust brew in just eight hours. It was among the simplest to assemble, it executed an exemplary brew in about the shortest time span, and it looked snazzy doing it. Plus, it rang up as the second-most affordable of our inventory.
Best nonstick pan: T-fal E76597 Ultimate Hard Anodized Nonstick Fry Pan With Lid ($39.97; amazon.com)
If you’re a minimalist and prefer to have just a single pan in your kitchen, you’d be set with the T-fal E76597. This pan’s depth gives it multipurpose functionality: It cooks standard frying-pan foods like eggs and meats, and its 2 1/2-inch sides are tall enough to prepare recipes you’d usually reserve for pots, like rices and stews. It’s a high-quality and affordable pan that outperformed some of the more expensive ones in our testing field.
Best blender: Breville Super Q ($499.95; breville.com)
With 1,800 watts of motor power, the Breville Super Q features a slew of preset buttons, comes in multiple colors, includes key accessories and is touted for being quieter than other models. At $500, it does carry a steep price tag, but for those who can’t imagine a smoothie-less morning, what breaks down to about $1.30 a day over a year seems like a bargain.
Best knife set: Chicago Cutlery Fusion 17-Piece Knife Block Set ($119.74; amazon.com)
The Chicago Cutlery Fusion 17-Piece Knife Block Set sets you up to easily take on almost any cutting job and is a heck of a steal at just $119.97. Not only did the core knives included (chef’s, paring, utility and serrated) perform admirably, but the set included a bevy of extras, including a full set of steak knives. We were blown away by their solid construction and reliable execution for such an incredible value. The knives stayed sharp through our multitude of tests, and we were big fans of the cushion-grip handles that kept them from slipping, as well as the classic look of the chestnut-stained wood block. If you’re looking for a complete knife set you’ll be proud of at a price that won’t put a dent in your savings account, this is the clear winner.
Best true wireless earbuds: AirPods Pro ($199, originally $249; amazon.com)
Apple’s AirPods Pro hit all the marks. They deliver a wide soundstage, thanks to on-the-fly equalizing tech that produces playback that seemingly brings you inside the studio with the artist. They have the best noise-canceling ability of all the earbuds we tested, which, aside from stiff-arming distractions, creates a truly immersive experience. To sum it up, you’re getting a comfortable design, a wide soundstage, easy connectivity and long battery life.
Best noise-canceling headphones: Sony WH-1000XM4 ($278, originally $349.99; amazon.com)
Not only do the WH-1000XM4s boast class-leading sound, but phenomenal noise-canceling ability. So much so that they ousted our former top overall pick, the Beats Solo Pros, in terms of ANC quality, as the over-ear XM4s better seal the ear from outside noise. Whether it was a noise from a dryer, loud neighbors down the hall or high-pitched sirens, the XM4s proved impenetrable. This is a feat that other headphones, notably the Solo Pros, could not compete with — which is to be expected considering their $348 price tag.
Best on-ear headphones: Beats Solo 3 ($119.95, originally $199.95; amazon.com)
The Beats Solo 3s are a phenomenal pair of on-ear headphones. Their sound quality was among the top of those we tested, pumping out particularly clear vocals and instrumentals alike. We enjoyed the control scheme too, taking the form of buttons in a circular configuration that blend seamlessly into the left ear cup design. They are also light, comfortable and are no slouch in the looks department — more than you’d expect given their reasonable $199.95 price tag.
The Stila Stay All Day Liquid Lipstick has thousands of 5-star ratings across the internet, and it’s easy to see why. True to its name, this product clings to your lips for hours upon hours, burritos and messy breakfast sandwiches be damned. It’s also surprisingly moisturizing for such a superior stay-put formula, a combo that’s rare to come by.
The Stila Stay All Day Waterproof Liquid Eyeliner is a longtime customer favorite — hence its nearly 7,500 5-star reviews on Sephora — and for good reason. We found it requires little to no effort to create a precise wing, the liner has superior staying power and it didn’t irritate those of us with sensitive skin after full days of wear. As an added bonus, it’s available in a whopping 12 shades.
The Steelcase Series 1 scored among the highest overall, standing out as one of the most customizable, high-quality, comfortable office chairs on the market. At $415, the Steelcase Series 1 beat out most of its pricier competitors across testing categories, scoring less than a single point lower than our highest-rated chair, the $1,036 Steelcase Leap, easily making it the best bang for the buck and a clear winner for our best office chair overall.
Best ergonomic keyboard: Logitech Ergo K860 ($129.99; logitech.com)
We found the Logitech Ergo K860 to be a phenomenally comfortable keyboard. Its build, featuring a split keyboard (meaning there’s a triangular gap down the middle) coupled with a wave-like curvature across the body, allows both your shoulders and hands to rest in a more natural position that eases the tension that can often accompany hours spent in front of a regular keyboard. Add the cozy palm rest along the bottom edge and you’ll find yourself sitting pretty comfortably.
Best ergonomic mouse: Logitech MX Master 3 ($99.99; logitech.com)
The Logitech MX Master 3 is an unequivocally comfortable mouse. It’s shaped to perfection, with special attention to the fingers that do the clicking. Using it felt like our fingers were lounging — with a sculpted ergonomic groove for nearly every finger.
Best ring light: Emart 10-Inch Selfie Ring Light ($25.99; amazon.com)
The Emart 10-Inch Standing Ring Light comes with a tripod that’s fully adjustable — from 19 inches to 50 inches — making it a great option whether you’re setting it atop your desk for video calls or need some overhead lighting so no weird shadows creep into your photos. Its three light modes (warm, cool and a nice mix of the two), along with 11 brightness levels (among the most settings on any of the lights we tested), ensure you’re always framed in the right light. And at a relatively cheap $35.40, this light combines usability and affordability better than any of the other options we tested.
Best linen sheets: Parachute Linen Sheet Set (starting at $149; parachute.com)
Well made, luxurious to the touch and with the most versatile shopping options (six sizes, nine colors and the ability to order individual sheets), the linen sheets from Parachute were, by a narrow margin, our favorite set. From the satisfying unboxing to a sumptuous sleep, with a la carte availability, Parachute set the gold standard in linen luxury.
Best shower head: Kohler Forte Shower Head (starting at $74.44; amazon.com)
Hands down, the Kohler Forte Shower Head provides the best overall shower experience, offering three distinct settings. Backstory: Lots of shower heads out there feature myriad “settings” that, when tested, are pretty much indecipherable. The Forte’s three sprays, however, are each incredibly different and equally successful. There’s the drenching, full-coverage rain shower, the pulsating massage and the “silk spray” setting that is basically a super-dense mist. The Forte manages to achieve all of this while using only 1.75 gallons per minute (GPM), making it a great option for those looking to conserve water.
Best humidifier: TaoTronics Cool Mist Humidifier (starting at $49.99; amazon.com)
The TaoTronics Cool Mist Humidifier ramped up the humidity in a room in about an hour, which was quicker than most of the options we tested. More importantly, though, it sustained those humidity levels over the longest period of time — 24 hours, to be exact. The levels were easy to check with the built-in reader (and we cross-checked that reading with an external reader to confirm accuracy). We also loved how easy this humidifier was to clean, and the nighttime mode for the LED reader eliminated any bright lights in the bedroom.
Best TV: TCL 6-Series (starting at $579.99; bestbuy.com)
With models starting at $599.99 for a 55-inch, the TCL 6-Series might give you reverse sticker shock considering everything you get for that relatively small price tag. But can a 4K smart TV with so many specification standards really deliver a good picture for $500? The short answer: a resounding yes. The TCL 6-Series produces a vibrant picture with flexible customization options and handles both HDR and Dolby Vision, optimization standards that improve the content you’re watching by adding depth to details and expanding the color spectrum.
Best streaming device: Roku Ultra ($99.99; amazon.com)
Roku recently updated its Ultra streaming box and the 2020 version is faster, thanks to a new quad-core processor. The newest Ultra retains all of the features we loved and enjoyed about the 2019 model, like almost zero lag time between waking it up and streaming content, leading to a hiccup-free streaming experience. On top of that, the Roku Ultra can upscale content to deliver the best picture possible on your TV — even on older-model TVs that don’t offer the latest and greatest picture quality — and supports everything from HD to 4K.
Best carry-on luggage: Away Carry-On ($225; away.com)
The Away Carry-On scored high marks across all our tests and has the best combination of features for the average traveler. Compared with higher-end brands like Rimowa, which retail for hundreds more, you’re getting the same durable materials, an excellent internal compression system and eye-catching style. Add in smart charging capabilities and a lifetime warranty, and this was the bag to beat.
Best portable charger: Anker PowerCore 13000 (starting at $31.99; amazon.com)
The Anker PowerCore 13000 shone most was in terms of charging capacity. It boasts 13,000 mAh (maH is a measure of how much power a device puts out over time), which is enough to fully charge an iPhone 11 two and a half times. Plus, it has two fast-charging USB Type-A ports so you can juice a pair of devices simultaneously. While not at the peak in terms of charging capacity, at just $31.99, it’s a serious bargain for so many mAhs.
Trump’s misleading tweet about changing your vote, briefly explained
Searches for changing one’s vote did not trend following the recent presidential debate, and just a few states appear to have processes for changing an early vote. But that didn’t stop President Trump from wrongly saying otherwise on Tuesday.
In early morning posts, the president falsely claimed on Twitter and Facebook that many people had Googled “Can I change my vote?” after the second presidential debate and said those searching wanted to change their vote over to him. Trump also wrongly claimed that most states have a mechanism for changing one’s vote. Actually, just a few states appear to have the ability, and it’s rarely used.
Trump’s claim about what was trending on Google after the debate doesn’t hold up. Searches for changing one’s vote were not among Google’s top trending searches for the day of the debate (October 22) or the day after. Searches for “Can I change my vote?” did increase slightly around the time of the debate, but there is no way to know whether the bump was related to the debate or whether the people searching were doing so in support of Trump.
It was only after Trump’s posts that searches about changing your vote spiked significantly. It’s worth noting that people were also searching for “Can I change my vote?” during a similar period before the 2016 presidential election.
Google declined to comment on the accuracy of Trump’s post.
Trump also claimed that these results indicate that most of the people who were searching for how to change their vote support him. But the Google Trends tool for the searches he mentioned does not provide that specific information.
Perhaps the most egregiously false claim in Trump’s recent posts is about “most states” having processes for changing your early vote. In fact, only a few states have such processes, and they can come with certain conditions. For instance, in Michigan, voters who vote absentee can ask for a new ballot by mail or in person until the day before the election.
The Center for Election Innovation’s David Becker told the Associated Press that changing one’s vote is “extremely rare.” Becker explained, “It’s hard enough to get people to vote once — it’s highly unlikely anybody will go through this process twice.”
At the time of publication, Trump’s false claims had drawn about 84,000 and 187,000 “Likes” on Twitter and Facebook, respectively. Trump’s posts accelerated searches about changing your vote in places like the swing state of Florida, where changing one’s vote after casting it is not possible. Those numbers are a reminder of the president’s capacity to spread misinformation quickly.
On Facebook, the president’s post came with a label directing people to Facebook’s Voting Information Center, but no fact-checking label. Twitter had no annotation on the president’s post. Neither company responded to a request for comment.
That Trump is willing to spread misinformation to benefit himself and his campaign isn’t a surprise. He does that a lot. Still, just days before a presidential election in which millions have already voted, this latest episode demonstrates that the president has no qualms about using false claims about voting to cause confusion and sow doubt in the electoral process.
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Nearly 6,000 civilian casualties in Afghanistan so far this year
From January to September, 5,939 civilians – 2,117 people killed and 3,822 wounded – were casualties of the fighting, the UN says.
Nearly 6,000 Afghan civilians were killed or wounded in the first nine months of the year as heavy fighting between government forces and Taliban fighters rages on despite efforts to find peace, the United Nations has said.
From January to September, there were 5,939 civilian casualties in the fighting – 2,117 people killed and 3,822 wounded, the UN Assistance Mission in Afghanistan (UNAMA) said in a quarterly report on Tuesday.
“High levels of violence continue with a devastating impact on civilians, with Afghanistan remaining among the deadliest places in the world to be a civilian,” the report said.
Civilian casualties were 30 percent lower than in the same period last year but UNAMA said violence has failed to slow since the beginning of talks between government negotiators and the Taliban that began in Qatar’s capital, Doha, last month.
The Taliban was responsible for 45 percent of civilian casualties while government troops caused 23 percent, it said. United States-led international forces were responsible for two percent.
Most of the remainder occurred in crossfire, or were caused by ISIL (ISIS) or “undetermined” anti-government or pro-government elements, according to the report.
Ground fighting caused the most casualties followed by suicide and roadside bomb attacks, targeted killings by the Taliban and air raids by Afghan troops, the UN mission said.
Fighting has sharply increased in several parts of the country in recent weeks as government negotiators and the Taliban have failed to make progress in the peace talks.
The Taliban has been fighting the Afghan government since it was toppled from power in a US-led invasion in 2001.
Washington blamed the then-Taliban rulers for harbouring al-Qaeda leaders, including Osama bin Laden. Al-Qaeda was accused of plotting the 9/11 attacks.
Calls for urgent reduction of violence
Meanwhile, the US envoy for Afghanistan, Zalmay Khalilzad, said on Tuesday that the level of violence in the country was still too high and the Kabul government and Taliban fighters must work harder towards forging a ceasefire at the Doha talks.
Khalilzad made the comments before heading to the Qatari capital to hold meetings with the two sides.
“I return to the region disappointed that despite commitments to lower violence, it has not happened. The window to achieve a political settlement will not stay open forever,” he said in a tweet.
There needs to be “an agreement on a reduction of violence leading to a permanent and comprehensive ceasefire”, added Khalilzad.
1/4 I return to the region disappointed that despite commitments to lower violence, it has not happened. The window to achieve a political settlement will not stay open forever. https://t.co/hVl4b032W6
— U.S. Special Representative Zalmay Khalilzad (@US4AfghanPeace) October 27, 2020
A deal in February between the US and the Taliban paved the way for foreign forces to leave Afghanistan by May 2021 in exchange for counterterrorism guarantees from the Taliban, which agreed to sit with the Afghan government to negotiate a permanent ceasefire and a power-sharing formula.
But progress at the intra-Afghan talks has been slow since their start in mid-September and diplomats and officials have warned that rising violence back home is sapping trust.
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