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"If we assume that these developments continue, and with them our interest in creating simulations of the world, then at some point in the future - 1,000 years, 100,000 years - it's reasonable to assume that the difference between reality and simulation will become indistinguishable. At which point it will mean we will have created simulated beings with their own consciousness. Advertisement But if that is the inevitable outcome of continued technological advancement, unless nuclear war or some other catastrophe intervenes, then it's quite possible - some would say an overwhelming certainty - that it's already happened, and we are the ancestor simulations created by an advanced post-human civilisation."

"Three-Dimensional Computer Simulations Have Solved The Mystery Of Why Doomed Stars Explode"

"Proponents say that it's more than just a matter of probability. The laws of physics don't seem that different from code in a program, according to some, and it's likely that with enough time, a sufficiently advanced civilization could crunch the numbers and produce a simulation that mimics the existence and behavior of every particle in our universe."

Much of current science deals with even more complicated systems, and similarly lacks exact solutions. Such models have to be "computational" - describing how a system changes from one instant to the next. But there is no way to determine the exact state at some time in the future other than by "simulating" its evolution in this way. Weather forecasting is a familiar example; until the advent of computers in the 1950s, it was impossible to predict future weather faster than it actually happened.

"Eventually, we will reach a point of full saturation, a period in our evolution in which digital bits will outnumber atoms on Earth, a world "mostly computer simulated and dominated by digital bits and computer code," according to an article published in AIP Advances, by AIP Publishing."

"The computers are connected into a kind of hive mind via a downloadable software, allowing the system to run calculations with greater speed and efficiency than any individual device. This is necessary to do the complex work of simulating how the proteins that make up the novel coronavirus behave and where there could be potential binding sites for drugs to latch on to."

"Ellie may be a computer simulation, but she's incredibly perceptive. By reading the body language and vocal inflections of real live humans, she can engage in surprisingly meaningful exchanges, and even evoke emotional openness from her conversation partners. Her creators believe her receptivity to human emotional cues could revolutionize the field of mental health. Watching Ellie in action, it's not hard to see why."

"is an experimental service from Carnegie Mellon University that stores images of old processors, as well as the old operating systems that ran on top of them, along with software packages for those old OSes; this allows users to access old data from obsolete systems inside simulations of the computers that originally ran that data, using the original operating systems and applications."

"This is the dystopian nightmare that Russell fears if his discipline continues on its current path and succeeds in creating super-intelligent machines. It's the scenario implicit in the philosopher Nick Bostrom's "paperclip apocalypse" thought-experiment and entertainingly simulated in the Universal Paperclips computer game. It is also, of course, heartily derided as implausible and alarmist by both the tech industry and AI researchers. One expert in the field famously joked that he worried about super-intelligent machines in the same way that he fretted about overpopulation on Mars."

"A digital twin is a virtual representation of a real system - a building, the power grid, a city, even a human being - that mimics the characteristics of the system. A digital twin is more than just a computer model, however. It receives data from sensors in the real system to constantly parallel the system's state."