Responding to Nick Bostrom's 2003 hypothesis
The idea that we live in a digital simulation popularized by The Matrix and defended by names like Nicki Bostrom and Grace Tyson's The Musk and Neil always seemed like a mix of madness and philosophy, but now a group of physicists say they have done something unexpected, transforming that discussion into science and reaching a definitive conclusion.
An article published in the Journal of Holography Applications in Physics, Professor Mir Faizal of the University of British Columbia, Canagan and his colleagues claim to have mathematically proven that the universe cannot be a simulation, according to them, reality contains elements that could never be reproduced by a computer, neither now, nor in the future, nor with infinite technology.
The starting point is Nick Bostrom's famous hypothesis from 2003, where he states that, if a civilization managed to create simulated universes, it would create millions of them and each one could generate its own simulations, the result would be an infinite stack of artificial realities, statistically we would almost certainly be living and one of them.
Faisal did not agree and decided to attack the question from the most fundamental mathematics that exists. The study uses Gödel's incompleteness theorems, which shows that any consistent mathematical system contains truths that cannot be proven, in other words, there will always be aspects of reality that escape any attempt at purely algorithmic description.
According to Mir Faizal, a simulated universe needs to be somewhat rhythmic. Everything in it must follow computational rules, logical instructions and determinable calculations, but, in the team's vision, physical reality has elements that require something different, a non-algorithmic understanding, but that cannot be reduced to steps of calculation.
They argue that this deeper level does not exist within space-time, it creates space-time and therefore cannot be reproduced within it, if this is true then any simulation would be by definition too limited to reproduce the real universe, even theoretically.
The researchers' conclusion is, the universe is not and could never be a simulation, there is no blue or red pill, there is no way out of the Matrix hehehe.
Study Source
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