512
Zeno's Dichotomy Paradox
(sh.itjust.works)
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
this post was submitted on 05 Apr 2024
512 points (96.5% liked)
Comic Strips
23394 readers
755 users here now
Comic Strips is a community for those who love comic stories.
Rules
-
😇 Be Nice!
- Treat others with respect and dignity. Friendly banter is okay, as long as it is mutual; keyword: friendly.
-
🏘️ Community Standards
- Comics should be a full story, from start to finish, in one post.
- Posts should be safe and enjoyable by the majority of community members, both here on lemmy.world and other instances.
- Any comic that would qualify as raunchy, lewd, or otherwise draw unwanted attention by nosy coworkers, spouses, or family members should be tagged as NSFW.
- Moderators have final say on what and what does not qualify as appropriate. Use common sense, and if need be, err on the side of caution.
-
🧬 Keep it Real
- Comics should be made and posted by real human beans, not by automated means like bots or AI. This is not the community for that sort of thing.
-
📽️ Credit Where Credit is Due
- Comics should include the original attribution to the artist(s) involved, and be unmodified. Bonus points if you include a link back to their website. When in doubt, use a reverse image search to try to find the original version. Repeat offenders will have their posts removed, be temporarily banned from posting, or if all else fails, be permanently banned from posting.
- Attributions include, but are not limited to, watermarks, links, or other text or imagery that artists add to their comics to use for identification purposes. If you find a comic without any such markings, it would be a good idea to see if you can find an original version. If one cannot be found, say so and ask the community for help!
-
📋 Post Formatting
- Post an image, gallery, or link to a specific comic hosted on another site; e.g., the author's website.
- Meta posts about the community should be tagged with [Meta] either at the beginning or the end of the post title.
- When linking to a comic hosted on another site, ensure the link is to the comic itself and not just to the website; e.g.,
✅ Correct: https://xkcd.com/386/
❌ Incorrect: https://xkcd.com/
-
📬 Post Frequency/SPAM
- Each user (regardless of instance) may post up to five (5 🖐) comics a day. This can be any combination of personal comics you have written yourself, or other author's comics. Any comics exceeding five (5 🖐) will be removed.
-
🏴☠️ Internationalization (i18n)
- Non-English posts are welcome. Please tag the post title with the original language, and include an English translation in the body of the post; e.g.,
Sí, por favor [Spanish/Español]
- Non-English posts are welcome. Please tag the post title with the original language, and include an English translation in the body of the post; e.g.,
-
🍿 Moderation
- We are human, just like most everybody else on Lemmy. If you feel a moderation decision was made in error, you are welcome to reach out to anybody on the moderation team for clarification. Keep in mind that moderation decisions may be final.
- When reporting posts and/or comments, quote which rule is being broken, and why you feel it broke the rules.
Web Accessibility
Note: This is not a rule, but a helpful suggestion.
When posting images, you should strive to add alt-text for screen readers to use to describe the image you're posting:
Another helpful thing to do is to provide a transcription of the text in your images, as well as brief descriptions of what's going on. (example)
Web of Links
- !linuxmemes@lemmy.world: "I use Arch btw"
- !memes@lemmy.world: memes (you don't say!)
founded 2 years ago
MODERATORS
Your proof assumes a non-quantum universe. As soon as time become quantized, you actually do have a minimum finite time step, at which point any observed object by necessity must be at rest. This (well, something to this effect) has been proved by experimental data, however it's currently unclear if this quantization is related to our methods of observation or an actual characteristic of time.
Yes, but if the universe is quantum, then there also exists a minimum finite space step. So the fractions never get infinitely small. So you either stop moving in which case of course you never reach the destination; you stopped before you did. OR you take an extra step and surpass your distance by a negligible amount which means you did move all the way.
So even in a quantized universe, the paradox is still false right?
Well, no — if anything you've proven it. The paradox was originally that all objects must be at rest regardless of observed movement, infinitesimality was just the quickest way for ancient Greeks to conceptualize it.
Experimentally, we've observed† that it is possible to "freeze" time for a quantum particle if you measure it before the wave function has the time to fully transition from "origin" to "target" when no intermediary states exist between††, i.e. a quantum object "in movement" stays at rest until one "time-step" passes, at which point it imediately exists at the next point towards the target, where it remains at rest until the next time-step. If you measure the object "between" time-steps, its position will be at the origin point, but because we've now collapsed the wave function, that position is manifested as reality and no other possibilities exist. As a result, a new time-step must pass before it can move — yet, if we measure again, the same observation will be repeated, so the wave function never gets to the target, even though we have declared that the wave function (and therefore the particle) is moving from origin to target.
That's the kind of fuckery we signed up for when physicists discovered the wave-particle duality
† (potentially, there are competing hypothesis)
†† By necessity, a quantized number line follows this condition