| ▲ | shmoil 3 hours ago |
| I laughed out loud at the n lg n ^ (1 - 2^{-182}). It is so funny. |
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| ▲ | NelsonMinar 2 hours ago | parent | next [-] |
| 2^-182 is very funny but it's bigger than 0 and that's going to shatter a lot of people's conjectures. |
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| ▲ | elcritch 3 hours ago | parent | prev | next [-] |
| Wowzers! This also reaffirms my (wishful) thinking that if there’s a way to do FTL communication it’ll be something with an absurdly tiny factor like 2^-182 with a slight asymmetry in a probability somewhere. Then you’re not violating FTL, just gaining a very slight chance that you might know something FTL – probably. |
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| ▲ | hgoel 3 hours ago | parent | next [-] | | Given that c is the speed of causality itself, FTL communications would effectively be like predicting the future. From that angle, beating light speed by some absurdly tiny factor would probably correspond to a means of predicting the future at some almost absurdly tiny factor better than random guessing. Edit: Actually...it doesn't make sense to call this FTL communication, it's just predicting the future state of a system given some previous state. FTL comms would have to be predicting the future state of a system without information about the previous state. Practically speaking predictive modeling would be a means of compensating for light speed comms, kind of like branch prediction in processors or speculative decoding in LLMs, but that wouldn't actually be FTL comms. | | |
| ▲ | Lerc 2 hours ago | parent [-] | | I think that is entirely expected from what we know of modern physics. It doesn't say you can't do it, just things are very weird if you can. | | |
| ▲ | elcritch 2 hours ago | parent [-] | | Exactly! It’s not forbidden, just very unlikely and would be very strange. It’d likely involve exponentially more energy as well. It’d be a good sci-if plot point if FTL communications required machines the size of Jupyter to get a few milliseconds of prescience. | | |
| ▲ | roywiggins 2 hours ago | parent | next [-] | | You can bootstrap a tiny duration of prescience into arbitrary durations by passing back the same message over and over as many times as you like. If you know what will happen in one minute, write down the message you see yourself writing down in one minute. In a minute, do the same thing. Now you can pass messages back two minutes. | |
| ▲ | empraptor 2 hours ago | parent | prev [-] | | reveal at the end of the story: the mysterious purpose for which all of that was built? high frequency trading. |
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| ▲ | psychoslave 3 minutes ago | parent | prev | next [-] | | What's FTL? | |
| ▲ | saagarjha 2 hours ago | parent | prev | next [-] | | If there was a way to do FTL communications you’d expect that Jane Street would have found it already | | | |
| ▲ | binlog 2 hours ago | parent | prev [-] | | That would only mean we calculated c wrong | | |
| ▲ | ethin 2 hours ago | parent [-] | | I mean, being pedantic a little, we don't actually know if c is constant, since measuring c is rather difficult. If c is not in fact constant in some medium or environment, then a huge number of things get very weird very fast. So, yes, we could've measured c wrong. We just would have no idea if we did. Source: Veritasium did a very fascinating video explaining this problem. |
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| ▲ | qarl 3 hours ago | parent | prev | next [-] |
| Dangit! I was betting on -183. |
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| ▲ | dprkh 3 hours ago | parent | prev [-] |
| Why is that funny? |
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| ▲ | simon-b 2 hours ago | parent | next [-] | | The relative difference is so absurdly small to be irrelevant at any realisable input size. At least that's my read; e.g. even at n=10^80 (~number atoms in universe), the relative difference is ~0. That's still probably underselling how similar this is to n log n. | | |
| ▲ | 12390asdjkas 2 hours ago | parent [-] | | this is how all the proofs today are looking, they seems so minimal even when compared to minor improvements in these fields from that last 10 years im wondering why even publish these and not just make research notes public |
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| ▲ | philipwhiuk 2 hours ago | parent | prev [-] | | The -182 feels highly arbitrary. |
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