Matrioshka大腦能否將模擬宇宙運行到亞原子水平?


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在我的故事中,先進的文明利用了星系中許多恆星的力量並將其用於不同目的,其中之一就是Matrioska大腦。這些超級計算機中的一些將在現實世界中以及其他計算中運行AI,其他超級計算機將在詳細的虛擬世界中運行。最早的模擬將是具有人造生命的計算機模擬世界,但後來高級物種將嘗試創建亞原子級的模擬。

有人說,擁有全部太陽輸出的Matrioshka大腦可以模擬1萬億個萬億級思維,這如何轉換為可以存在的世界/模擬空間以及不確定的細節。我相信我們太陽的每秒輸出是 $ 3.86 \ cdot 10 ^ {26} $ W,我們的星係是 $ 4 \ cdot 10^ {58} \ W / s $ ,儘管在我們的銀河系中有4000億顆恆星,但我不確定該能量來自恆星以外的其他來源。

如果我們跳過亞原子粒子的不確定性,我們在 $ 10的空間中有 $ 10 ^ {80} $ 粒子如果我們使用 $ 10 ^ {-13} $ 秒的時間範圍,則我們可觀察的宇宙中的^ {185} $ 木板體積將為 $ 10 ^ {13} $ 個時間幀/每秒。使用 $ 10 ^ {80} $ 粒子,我們可以進行 $ 10 ^ {160} $ 交互以進行完整模擬但是只需要模擬觀察/可觀察細節的模擬就可以減少計算量。

多個Matrioshka大腦可以鏈接在一起,以滿足更高的計算需求,它們將受限於真實宇宙中光的速度以更新信息,但這確實意味著整個星係可以作為一台超級計算機運行數十億或數万億美元與壽命更長的恆星

這個問題和提到的問題與我的相似,但我認為他們沒有提到所需的能量以及它與Matrioshka大腦的關係。What Technology is Needed to Virtually Simulate...Everything?

有了已知的恆星能量輸出和模擬低至量子尺度的宇宙所需的計算水平,有沒有辦法知道在不久的將來或可能的先進計算中,有多少顆恆星可以像我們自己一樣模擬一個宇宙?

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why not have the Matrioshka brain also be a quantum Computer?

a quantum Computer the size of a city can also run a universe sized simulation. SO I would imagine that if you were to upscale this to be a Matrioshka Brain, you should be able to do the task of running a simulated universe right down the the subatomic level no problem.

as a game designer, you wouldn't need to have everything rendered at once, only what was being simulated at that time. I use Unity 6, and we use scenes. So something like that should work


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I will try to answer your question at least in parts by just reduce it to some smaler equations I am able to handle (as neither astrophysics nor nuclear/quantumphysics are my speciality). Same reason is why I will not check the numbers you gave in your question. (Edit: I exactly did that now, all numbers you gave and I used I checked for mistakes. Found none. ^^)

As the ability of a Matrioshka brain using the power of our sun is given as 10^9 to 10^12 minds, I will calculate its computing power in floating operations per second (flops). I think a 'mind' is used as equivalent for one human brain. The computing power of a human brain is roundabout 10^13 flops so the Matrioshka brain has a computing power of 10^22 to 10^25 flops. Lets use the higher value here. As you want to simulate the universe in steps of femtoseconds (regarding the comments) that equals 10^10 flopfs (floating operations per femtosecond) for a MB using the sun.

The power of all stars in our galaxy is 10^32 times that of our sun, so a network of MBs using our whole galaxy is 10^42 flopfs. As we have 10^80 particles we would need 10^38 of these galaxy-MBs just to check for every timeframe if a particle interacts with any other particle or not. And that's just for the check. We still have to check what kind of interaction those particles have.

Hubble revealed an estimated number of 10^11 galaxies in his visible range. We would need 10^27 times that. Just for the checking. (Edit: I just read scientific estimations go on to 10^12 galaxies in the observable universe, so we 'just' would need 10^26 times the output of our observable universe just for checking all particles in itself for interactions. Conclusion stays the same.)

So my answer is: no. We will not be able to simulate a whole universe even with this kind of technology.