Zeno's Paradox & The Quantum Zeno Effect

[@jacquelinejohns9838]

Did you just describe Zeno's paradoxical ideas as 'trolling'? It all makes sense now.

[@alkestos]

All the so called great philosophical minds of the past have been nothing but trolls but it went so far over the heads of normal people back then they thought it was somehow profound. You just solved philosophy. Like you know, one does...

[@voidisyinyangvoidisyinyang885]

We present a measure of quantum coherence by employing the concept of noncommutativity of operators in quantum mechanics. We analyse the behaviour of this noncommutative coherence and underline its similarities and differences with the conventional measures of quantum coherence. The maximally noncommutative coherent states turn out to be far removed from the conventionally considered maximally coherent states. We argue that the efficiency of the quantum phase estimation algorithm, an important rung in the Shor factorisation algorithm, is potentially related to the measure of noncommutative coherence." Matt O'Dowd just needs to dig a bit deeper - he's Anti-Trolling.

[@spawnsen823]

@@voidisyinyangvoidisyinyang885 was about to say that.

[@winonafrog]

*metaphysical trolling !

[@bierrollerful]

Kids: "Are we there yet? Are we there yet?" Parents: "Stop quantum freezing the car!!"

[@glypheye]

😂. You need two kids, one in you left ear and one in your right, perennially asking “are we there yet?” You never left......you never arrive. Just the endless journey, purely observed.

[@jeshii]

Underrated comment

[@TheRABIDdude]

A surprisingly clever joke. Nice job!

[@andrejandu7181]

haha top joke

[@joejohnson3582]

Ooooh so that explains the collapsed brain function while setting off on a family vacation....

[@ayehavgunne]

I used to be a spacetime adventurer like you but then I took a quantum arrow to the knee. Because I blinked.

[@innocentbystander3317]

The quantum arrow never existed until you observed it anyway, so technically, not only did you do this to yourself, but you also confirmed that this is how you wanted things to be by blinking. Kids these days... Well, at least you're still alive.

[@user-ut3ni6bu7b]

no lollygagging

[@anmolmehrotra923]

Ever thought about the second entangled arrow with it? It may have tunneled and hit another adventurer of space-time. And you know what he didn't even blinked! But you only think about yourself 🙂

[@arnabmukhopadhyay7078]

Lemme guess someone stole your quantum roll?

[@innocentbystander3317]

@@anmolmehrotra923 I too used to be a pan-dimensional being, until I took a quantum arrow to the knee...

[@misaki_live]

Spacetime is the best channel on this whole site. This series is amazing, and you're a great host, Matt! If I ever get around to getting higher education, I know what I'm studying!

[@slevinchannel7589]

Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@ChaineYTXF]

if you do end up studying physics, fair bit of warning: you're in for a treat.

[@vauchomarx6733]

@@slevinchannel7589 HBomberguy is great! A very different genre though…

[@slevinchannel7589]

@@vauchomarx6733 Yep

[@vauchomarx6733]

PBS Spacetime is cool, but imo, there are even greater physics channels out there. Physics Videos by Eugene Khutoryansky (kzbin.info) has some beautifully made animations, which gave me a much better intuition for understanding that sort of stuff, I heavily recommend checking them out!

[@pauldacus4590]

4:59 Never let a Dr Who reference go to waste!

[@hjk3927]

Weeping Angel from the episode "Blink" ;)

[@benedictul]

I was expecting the angels to make an appearance, wasn't disappointed.

[@INGIE32]

Can anyone explain the reference?

[@benedictul]

@Franky Padilla baby don't hurt me

[@MrOlecomte]

@@INGIE32 It refers to an iconic Doctor Who episodes called "Blink", where the antagonists (aka Weeping Angels) can only move when they're unobserved. So to survive them the rule is simple: keep your eyes open and don't blink.

[@hiccup3.14]

"If someone shoots a quantum arrow towards you, don't blink" One of my favourite quotes

[@JonathanScarlet]

The best part is the freeze-frame of a Weeping Angel right after it.

[@hiccup3.14]

@@JonathanScarlet A watt?

[@JonathanScarlet]

@@hiccup3.14 Re-watch at around 4:59. Blink (or not) and you'll miss it.

[@hiccup3.14]

@@JonathanScarlet ahhh ok, Thankyou very much

[@cmelonwheels]

As soon as he started talking about looking at the arrow to stop it from hitting you, I figured a "don't blink" reference was inevitable was (unlike being hit by a quantum arrow)

[@ThierryTiramisu]

0:20 metaphysical trolling. Quite badass, Zeno!

[@blackmamba1261]

That's the first time I've heard it referred to like that, and I love it.

[@Cythil]

@@blackmamba1261 Well. From what I understand is a pretty good description. A lot of philosophers seem to have been annoyed at Zeno. Even some contemporary ones to his own age.

[@jorgepeterbarton]

The effect of "not sure if really dumb, or just proved the whole universe wrong" type stuff.

[@Cythil]

He is one of my favourite philosophers. I am not sure what that says about me... >_>

[@Cythil]

@Baka Mitai Oh, he is a fun one to. Has a fascinating idea what makes for a good home. ;)

[@aluxt]

If the Quantum Zeno Effect plays a role in birds' ability to see magnetic fields, then does that mean (according to the Many-Worlds interpretation) there would be many, many worlds full of very, very lost birds?

[@slevinchannel7589]

WOW: Have you seen the newest video of FTFE (Fight the Flat Earth)? It's amazing.

[@djelalhassan7631]

The Many-Worlds interpretation and Zeno is pure none sense there is only One-World and the Motion-Time is continues you cannot divide them.

[@elongatedmusk3132]

@@slevinchannel7589 I'm seriously 🤔

[@slevinchannel7589]

@@elongatedmusk3132 FTFe is a Channel? Was that not clear? And so is Holy Koolaid, just so you know.

[@elongatedmusk3132]

@@slevinchannel7589 I put curious or something & that emoji got hit. Anyways thnx I'll check em out

[@seionne85]

You got me there after "don't blink" lol

[@LuisDiaz-qg3eg]

He wouldn't if you hadn't blinked

[@MultiverseMediaSpace]

Doctor?

[@jeremyleyland1047]

And the angles wept

[@TheHolm]

I frikkin hate those!!!

[@StephenHodgson]

I laughed for about 5 min straight. Part of why I love this channel

[@PatricioHondagneuRoig]

0:20 "Metaphysical trolling". I love that way of putting it.

[@keith8554]

Famously

[@flensdude]

This reminds me of a poem attributed to Odin, chief god of all the Viking gods: _A fifth spell, I know―_ _if I see shot with ill intent_ _an arrow, travelling in a fight;_ _it's incapable of flying too quickly_ _for me to stop it in its path_ _as long as I keep my eyes on it._ (Odin, Hávamál. Rough translation.) _Þat kank fimta,_ _ef sék af fári skotinn_ _flęin í folki vaða,_ _flýgra svá stint,_ _at stǫðvigak,_ _ef hann sjónum of sék_ (Odin, Hávamál. Original poem.)

[@linorow2835]

Underated! Great poem!

[@Greywander87]

Interesting, I can actually recognize some words from the poem as probably meaning certain things, even though I don't speak Old Norse. Ef = if, sék = see (seek), skotinn = shoot, flýgra = fly, at stǫðvigak = to stop, sjónum = keep (sojourn). How accurate is this? Given that there are fewer words in the original poem, I'm assuming that each word carries more info that is normally spread across multiple English words. English did descend from this language, though it's gone through a lot of changes since then.

[@flensdude]

@@Greywander87 *On the relationship between Old Norse and English* Parts of the English language descends directly from Old Norse, but in fact all of the similarities in this poem are due to the fact that Old English and Old Norse were sister languages. That is, English and Old Norse have a common ancestral language (Proto-Germanic) from which these similar words ultimately are respectively derived from. Some of the words you recognise are correct. _ef_ is indeed related to English _if_ , although _ef_ was pronounced with a /v/ sound, i.e. /ev/. However _sék_ is a contraction of _sé ek_ , literally "see I" . Same with _stǫðvigak_ (< _stǫðviga ek_ ) and _kank_ (< _kann ek_ ), which literally mean "stop-not-I (it)" and "can-I". With the modern English word order and grammar you would instead say "I see", "I won't stop (it)" and "I know" in this context, but in Old Norse you had more liberty with regards to the word order and when to use pronouns like _it_ . Furthermore _sjónum_ means "with (my) sight" in this context, and is the dative form of the noun _sjón_ , meaning "sight" or "eyes". Just think about the past tense form _seen_ of the verb _to see_ , and you will see the relationship. Also note that _j_ in Old Norse is pronounced like /y/ in modern English. The English /j/ sound that you find in English words like _jet_ , _giant_ and _age_ is non-existent in Old Norse. Also, some of the verbs carry the short-lived negation ending _-a_ (sometimes _-at_ or simply _-t_ ), like in _flýgra_ < _flýgr-_*_a_* (literally "(it) flies-not"), same in _stǫðvigak_ < _stǫðvig-_*_a_*_ ek_ . (The latter expression here is incidentally a monster of a contraction _stǫðvigak_ < _stǫðva-ek-a-ek_ , quite literally "stop-I-not-I (it)". _stǫðva_ is thus the verb part of the word and means "to make stood", i.e. "to stop".) Other similar words are: _þat_ - "that" ( _þ_ is pronounced like _th_ ) _af_ - "of" (the Old Norse _of_ you see in the poem is actually related to English _ov-_ in _over_ ) _í_ - "in" ( _í_ was pronounced nasally in Old Norse, meaning it must have previously had an /n/ sound following it that was nasalised) _folki_ (dative of _folk_ ) - "folk/army" _svá_ - "so"

[@flensdude]

@@Greywander87 *On the word count* As you probably can tell from my previous comment, Old Norse could make use of contractions that make it seem like there are fewer words. They also had a grammatical case structure that Old English also had, but that modern English has lost. (You can tell from the endings _-i_ in _fári_ and _folki_ , and _-um_ in _sjónum_ .) This means that in Old Norse you could sometimes convey meaning without using prepositions by simply using specific grammatical cases, hence the word count would go down: _Gefk hónum vápn_ ("I am giving a weapon to him"); Old Norse uses three words here compared to seven in English. I also took the liberty to add words that aren't present in the original for clarification in my translation, since the Old Norse poem is composed in a special poetic language in which you have to conserve the amount of syllables in each line, thus the word count goes down. This is because the poem otherwise loses its rhythm in Old Norse. To keep the rhythm in English that has a higher word count, more words are naturally required.

[@growthisfreedomunitedearth7584]

I was thinking the same thing. The old ones understood quantum mechanix. I'm convinced celtic knots represent quantum systems.

[@skyebluesilly]

"We do a little metaphysical trolling" -Zeno

[@BarteG44]

I am in immense pain

[@ScionVyse]

"Quantum Ouch" is my new favourite term.

but is it like wave or there is comes in packets of plank-ouches?

[@kennarajora6532]

I'd love to see that term included in movie technobabble.

[@TaohRihze]

Don't Blink!

[@medexamtoolscom]

Followed by the sequel, Quantum Abort.

[@gbail9566]

If you pay attention you hear it coming after the Quantum Twang.

[@jeffneptune2922]

This guy gets more info into a 15 minute clip than anyone I know. If you are a scientifically informed laymen, budding philosopher of science or "junior" scientist with a B.S. in chemistry, biology or physics, PBS Space Time is "the Bomb"!

[@andrewgotlost]

I cant wait to watch this video 4 or 5 more times until I understand it.

[@TheMarcscod]

You don't understand quantum mechanics, you get used to it xD

[@mvmlego1212]

TBH, I thought this was much more understandable than plenty of their other videos, at least from the last couple of years. I don't think I'll ever truly understand the ones about the holographic principle.

[@victoroneil9735]

You actually can't understand it until you stop watching it. It's called the Quantum Dunno Effect.

[@silbermund4253]

Victor O'Neil 😂

[@AndreVanKammen]

@@victoroneil9735 At the exact moment you think you get the answer, your brain wil enter a superposition. Once you try to access the answer it will collapse and your back at the start.

[@dougmcguire2187]

I’ve said this before and I’ll say it again. You’re great dude. You explain this very well. I love you videos. You need a second channel reading bedtime stories. Your voice puts my son, and myself straight to sleep. You’re not boring. It’s just the tone. I’ve been fighting for 3 hours tonight with my son getting him to sleep. 7 minutes with your videos and he was snoring. You’re the best dude.

[@thomasrichardson2905]

I know I will probably never get lucky enough to have my comment read, but here’s to hoping!!!! Matt, you and everyone else at SpaceTime are amazing. This show is my favorite part of the week because me and my daughter get to sit down and watch this show together, and now it has inspired her to pursue this field when she grows up. Keep up the good work and keep inspiring! Thanks.

[@layneburton9172]

You did us dirty at the end there, playing on our psyches and making us think we're mad for predicting the video ending.

[@nekomatafuyu]

I see. So video buffering is a quantum effect ;)

[@jorgepeterbarton]

Or inversely the matrix is buffering with quantum effects

[@techhelp1941]

Ha ha ha..... very well said. We can never see "true live cast".

[@Melgaer]

The Dr Who reference and how well it was executed distracted me so much that I had to pause the video to write this before coming back to the content. Bravo.

[@itarry4]

Isn't Zeno the same dude who also said that it should be impossible to ever catch a moving tortoise. Using a race between Achilles and the tortoise to illustrate the point.

[@carlosgaspar8447]

and the paradox does not hold for quantum particles because they (and time) are not infinitesimal.

[@drdca8263]

Yes, he had a number of similar paradoxes all leading to the conclusion that motion is impossible / is an illusion

[@itarry4]

@@drdca8263 yhea I thought it was him. Actually I leant about it in a Terry Pratchett novel where he joins 2 of the paradoxes together by having a philosopher called Xeno having a bet with another about the arrow hitting a Tortoise. So it crossed the Arrow one with the Achilles one, I then looked it up to find out what it really was.

[@carlosgaspar8447]

@@nihad6727 www.mathportal.org/calculators/sequences-calculators/geometric-sequences-calculator.php

[@ericevans7741]

3:34 bless you, also this helped me understand what wave function collapse was better than anything else i've seen.

[@Felishamois]

I'm pretty sure this channel is getting into hypnotism guys, and I'm all for it

[@PrivateSi]

Yes, it is a NWO Scientific Dictatorship, Science Worship & Praise brainwashing channel populated by a load of dumbed-down, intentionally confused geek-trendies wanting more uber power to Nazti elites to burn our money on useless super-junk... You sheeple would be funny if you weren't such useful idiots!

[@Felishamois]

@@PrivateSi Well that was fun. I hope you make the distinction between the scientific method, argument of authority, and scientific theories because otherwise what you said didn't make any sense.

[@PrivateSi]

​ @Oeumuepo Stéphanois .. 'Science' with a capital S... The Scientific Method is the best testing method.. Systems Engineering is the best discipline for system engineering.. Arguments from authority and arguments from UBER-SCIENCE that only a handful really understand are functionally pretty much identical... I like to fight the confusion merchants out there, of the zealous, extremist variety... -- Scitards and Creatards that don't have a clue but pick an extremist side to praise and worship... This is fun, it's a semi-classical TOE outline that explains shed loads on half a side of A4 paper. It sticks to the evidence and the simple premise, with total conservation of energy. Time is left until last but ties general relativity at QM together nicely. -- Bottom-up Thought Experiment... Constraints: As few base forces and particles as possible to form a coherent, integrated 3D multi/universe model -- Subspace Charge Field: +ve charge cells (quanta, +1) held together by free-flowing -ve charge. Matter-energy field conserves momentum -- Matter-Energy: Matter is focused energy.. Energy is mobile matter.. Velocity is position change in time.. Force changes velocity and/or direction -- Positron/Up Quark/Graviton (p+): Out of place, free cell warps the field and sends out field cell vibration 'blip' spheres at C + 6 spin loops -- Electron/Down Quark (e-): Hole left behind warps the field and sends out field cell vibration 'blip' spheres at C + 6 spin loops -- Bion/Electron Neutrino/Dark Matter (n+-): Only exactly opposite phase p+ and e- annihilate (ie. pairs created together), else a Bion is formed -- Nucleons: Proton (P) = pep, Neutron (N) = Pe, Beta- = e, Beta+ (B) = p(n) = p(pe), Alpha (A) = PNPN = (PeP)(PeP) = (pep)(e)(pep)(pep)(e)(pep) -- Heavier Fermions: Larger holes and chunks of subspace field rapidly disintegrate to p+s, e-s, n+-s and/or annihilate to regular = empty field -- Electrostatic Force: Recoiling repulsive blip spheres propagate. Same phase blips repel, opposite form an attracting AC wave guide, recoil adds push -- Spin: e-s and p+s pull in the 12 surrounding cells, or -ve charge that pulls the cells, that then bounce out, forming 6 loops as a torus. Spins up/down -- Strong Force: Spin loops merge and form DC (flowing) circuits between e-s and p+s -- Mass: Length x number of strong force bonds + near electric field. Neutral bion has compact strong force circuits , Protons' are long as 2 p+s repel -- Magnetism: Some spin-aligned atoms' p+s and e-s' strong bonds join in a shorter straight path. Energy conservation results in external force circuits -- Long Instant Off Force: AC (longitudinally blipping) subspace 'flux tube' as thin as 1 cell wide. Each cell and its -ve charge move in contrary motion -- Weak Force: Geometric structural charge balance instability. Possibly statistical hits by bions tipping the balance -- Photon/Light: e- (or p+) moving alternately up and down (ie. transmitter or e- moving from a neutral ground state to charged higher level and back) -- Double Slit: Laser light / particle centre's preceding, extended subspace distortion diffracts, interferes, forming wave guides observation destroys -- Dark Gravity: p+ traps 1 quantum of -ve charge so void cell size/gap grows (and matter's shrinks?) forming a macro -ve charge gradient -- Bang Expansion: Loss of -ve charge to the multiverse?.. Bang ejector velocity petered out, magnified in time by outward momentum conservation -- Gravity Wave: Longitudinal wave where the entire field in a large region is effected in unison for a duration -- Big Ping: A dark crystal universe collisions's intense gravity wave forms e- & p+ pairs from outside in at C. Many annihilate or form bions -- Big Bang: Ping wave collides centrally / -ve charge lost to the multiverse / blasted cells and -ve charge form much matter and leave a truly empty hole? -- Black Hole: Absorbs matter and energy. Bion crystal? Truly empty hole in the field that rips matter to pieces, turning it into subspace field until full? -- Frame Dragging: Entire sphere of subspace cells rotating around a point in unison -- Time: Cell to cell blips take a constant time so light slows locally with gravity as cells shrink but always measures C locally as subspace circuits slow too-- -- Makes more sense than making up bosons to carry force and mass, quarks that don't solve the anti-matter and dark matter problem, anti-neutrinos, loads of fundamental fields, extra spatial and temporal dimensions etc, that ultimately don't tie relativity and quantum mechanics together properly or well... They should at least be honest and call their 'spatial dimensions' geometric/field dimensions or something.. Magic Space is not my cup of tea.

[@gibbsm]

@@Felishamois nothing this person will make any sense. they just cut/copy/paste mumbo jumbo, they said it themselves above.

[@Київськийторт]

Thank you for the photosensitivity warning, it’s deeply appreciated!

[@slevinchannel7589]

Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@ayehavgunne]

“So now you know why a quantum watched pot doesn’t boil. And it’s because you did watch. Spacetime.”

[@secularmonk5176]

First time I've seen an episode end without an elegant sentence ending in ... spacetime.

[@user-ut3ni6bu7b]

​ @Len Arends The sentence has 2 meanings: - You know it doesn't boil because you watched it - you know why it happened because you watched space time I think it's pretty elegant

[@DobromirManchev]

This was a cheat ending.

[@ayehavgunne]

Roadhouse

[@PrivateSi]

Spacetime loves sci-woo.... It's another Modern Mystery Cult media outlet.... It's named after 'MAGIC SPACE' for God''s sake, as an atheist... This quantises space and time and explains general relativity at the end, tying my coherent, balanced Standard Model fix together into a well integrated universe TOE model outline... It explains everything is semi-classical terms... it's basically a load of old balls that can collide, vibrate in unison as an electric subspace alternating current and flow in unison as a spinning, strong, magnetic direct current circuit... Simplicity beats complexity. There is much evidence for it. -- Subspace Charge Field: +ve charge cells (quanta, +1) held together by free-flowing -ve charge. Matter-energy field conserves momentum -- Matter-Energy: Matter is focused energy.. Energy is mobile matter.. Momentum conserves velocity.. Force changes velocity and/or direction -- Positron/Up Quark/Graviton (p+): Out of place, free cell warps the field and sends out AC field cell vibration 'blip' spheres at C + 6 spin loops -- Electron/Down Quark (e-): Hole left behind warps the field and sends out AC field cell vibration 'blip' spheres of opposite phase at C + 6 spin loops -- Neutrino/Dark Matter (n+-): Only exactly opposite phase p+ and e- annihilate (ie. pairs created together), else a neutrino forms -- Nucleons: Proton: P = pep.. Neutron: N = Pe = pep,e.. Beta-: e.. Beta+: B = p,n = p,pe.. Alpha: A = PNPN = PeP,PeP = (pep,e,pep)(pep,e,pep) -- Heavier Fermions: Larger holes and chunks of subspace field rapidly disintegrate to p+s, e-s, n+-s and/or annihilate to regular = empty field -- Electrostatic Force: Recoiling blip spheres propagate. Opposite direction + and - blips form a vibrating AC bond, same sign=phase repel -- Instant-Off Long Force: AC (longitudinally blipping) subspace 'flux tube' as thin as 1 cell wide. Each cell and its -ve charge move in contrary motion -- Spin: e-s and p+s pull in the 12 surrounding cells, or -ve charge that pulls cells, that then bounce out, forming 6 loops as a torus. Spins up/down -- Strong Force: Spin loops merge and form flowing DC circuits between e-s and p+s -- Mass: Sum of the lengths of all strong force bonds + near electric field. Neutrino has compact strong force bonds, Protons' are long as 2 p+s repel -- Magnetism: Some spin-aligned atoms' p+s and e-s' strong bonds join in a shorter straight path. Energy conservation results in external force circuits -- Weak Force: Geometric structural charge balance instability. Possibly neutrino hits statistically tipping the balance -- Photon: Charged particle(s) moving up and down (transmitter, atomic electron) form a radiating transverse wave blip pattern -- Double Slit: Laser light / particle centre's preceding, extended subspace distortion diffracts, interferes, forming wave guides observation destroys -- Dark Gravity: p+ traps 1 quantum of -ve charge so void cell size/gap grows (and matter's shrinks?) forming a macro -ve charge gradient -- Bang Expansion: Loss of -ve charge to the multiverse?.. Bang ejector velocity petered out, magnified in time by outward momentum conservation -- Gravity Wave: Longitudinal wave where the entire field in a large region is effected in unison for a duration -- Big Ping: A dark crystal universe collisions' intense gravity wave forms e- & p+ pairs from outside in at C. Many annihilate or form neutrinos -- Big Bang: Ping wave collides centrally? Field blast forms matter + a large hole (then Big/Dark Refill)? Fast -ve charge loss? Neutrino crystal exploded? -- Black Hole: Absorbs matter and energy. Neutrino crystal (with a core returning to empty field)? Large hole in the field traps anything entering? -- Frame Dragging: Entire sphere of subspace cells rotating around a point in unison -- Time: Cell to cell blips take a constant time. Gravity shrinks cells so light slows but locally measures C as circuits lengthen in space & time, adding mass -- Makes more sense than making up bosons to carry force and mass, quarks that don't solve the anti-matter and dark matter problem, anti-neutrinos, loads of fundamental fields, extra spatial and temporal dimensions etc, that ultimately don't tie relativity and quantum mechanics together properly or well... They should at least be honest and call their 'spatial dimensions' geometric/field dimensions or something.. Magic Space is not my cup of tea.

[@mjassims]

“Observing a quantum object; observing an image of a quantum object. These are the same” - Tower of Quantum Trials

[@BassNinja]

4:58 almost got me PBS

[@amaliaantonopoulou2644]

The amazing thing about this channel is that every time I start watching a video, I'm sure that I don't have many possibilities to understand a lot, but at the end of the video I think that I have understood everything!!! Haha!Magic

[@slevinchannel7589]

Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@vladdangel]

"observe" is such a cop out. If I'm blindfolded and my way of "observing" a baseball is by swinging a bat then yeah, some how when I observe a ball it travels away from me. This is the strange nature of observing baseballs in quantum mechanics.

[@doomerbloomer6160]

observation is just another word for interaction

[@NovaRuner]

I think Zeno had another paradox to his name. I might be off on some details but the one I have heard of goes like this: I try to walk from point A to point B, it takes me some interval of time to go half way, it takes half of that interval to reach the 3 quarter point, and it takes an infinite set of smaller and smaller intervals to reach an infinite set of smaller and smaller fractions of the remaining distance and so I can never actually reach point B Awesome videos keep up the good work and maybe make the above paradox into quantum weirdness too.

[@jamespiar]

Wow, I actually took a course in mathematics on Wondrium, formerly the great courses, by Professor Bruce Edwards where he explained this version of Zeno's paradox . You are absolutely correct. 🏆

[@acetate909]

@3:45, so that guy can observe quantum arrows and ancient aliens? What's a badass.

[@horus6153]

Ahaha...that's definitely Giorgio A. Tsoukalos from Ancient Aliens. Nice to see him branching out.

[@rigeus]

This just made one of the best Dr. Who episodes ever, even better! Thanks! Not blinking, not blinking, not bl

[@Jeppelelle]

Will there be a video about the new potential discovery at CERN about the decay of beauty quarks? Would be awesome 👍

[@diegofranco65]

That would be nice!

[@Weekendgamer2121]

I wasn’t going ‘thats what i was about to say’.your topic sounded cool :)

[@xyzpdq1122]

Probably something sooner but less imaginative on the Fermilab channel. Plus that has Don Lincoln’s great dad humor.

[@tafazzi-on-discord]

it's called bottom

[@Jeppelelle]

@@tafazzi-on-discord weird comment, your comment is like correcting someone that says soccer instead of fotball even though they both are correct. So i choose to use the nicer name for that quark...

[@dennislaffey]

So the original Zeno's arrow, not the quantum one, can be explained by quantum physics, if I'm understanding this right. If you shot an arrow, at any particular point in time, the arrow would be both in its "current" position and in its "subsequent" position simultaneously (or "previous" and "current" positions, positions A and B, each a Planck Length apart). If you stop time and observe the arrow, it becomes stationary in one of the two possible positions as the quantum wave collapses. If you move time ahead one Planck time unit, the arrow is now at both positions B and C simultaneously, until observed, in which case it is measured in one or the other. And that's how the arrow actually moves through physical space-time, rather than quantum teleporting to the target.

[@kennarajora6532]

11:00, Is that dude laughing at the Schrodinger cat in the timeline where it dies?

[@commandershepard6189]

On a statement in your last episode... As a Engineer, I like to look at time as the totality of all velocities and space as the volume to which those velocities move through. Time as the function and space as the junction. I theorize: all of the prior and present fluid mechanics of a given collapsed star (inversed) directly relate to our expansion in this universe. This star would exist in an timeline closely related to the total probabilities of this universe. Einstein's Rosen bridge is a link beyond the plank scale in relation to probabilities to which gives rise to coherency. The decoherent probabilities are only there because our inability to see beyond our own timeline. What is and has been will lead to the now and forever more. One could only know if it has already been.

[@kokopelli314]

It would be more accurate and IMO helpful to replace the words "observation" and "measurement" with "interaction".

[@juzoli]

I do it routinely, as I always see people being confused about it... Every observation is an interaction, but not every interaction is observation. And wave function collapse happens at interaction, not at observation.

[@christopherbrent3759]

You'll never sound mystifying with an attitude like that!

[@davidabdollahi7906]

You guys been living under a rock or what. The whole concept of quantum physics is based on the changes in the states of sub atomic particles caused by "Human Consciousness". Quantum physicists try to have observations with zero interaction. This act of observation without interaction is what makes the results "Mystical" or otherwise it simply would be "scientifical".

[@MaakaSakuranbo]

Yeah, really not helping the impression people have that "observation" means "human looking at it" with those visuals either

[@juzoli]

@@davidabdollahi7906 That’s the exact misconception which comes from misusing these words. You misunderstood the whole concept. The whole point is that observation without interaction is IMPOSSIBLE, so we can NEVER observe a quantum particle without changing it. Consciousness is not even mentioned by physicists, it is coming from people who don’t understand.

[@robertstrawser1426]

Love the weeping angel reference. Just had a creepy thought. If the weeping angels were creatures governed by quantum mechanics that means they should also be able to quantum tunnel into your room at night, while you’re sleeping, even if you have the door locked. Pleasant dreams everyone… ;)

[@mr.aleximer]

I hope ill finally understand this video after many years of just observing pretending im here for educational purposes...

[@LuanMower55]

Same, been here for years, don't understand even 10% of what he says but i like his voice...

[@Haannibal777]

I am sure in some alternate reality, you do understand. This is called “Many Worlds Interpretation”.

[@ggiorgib]

The fact that I can't argue about anything here or hold any opinions due to my nonexistent knowledge in this field is very calming and feels like magic.

[@Eversing93]

@@ggiorgib Also a very good way to let the universe humble you a fair bit every once in a while.

[@DrDeuteron]

there are plenty of working physics PhD who have only 'wtf' to say about the (anti)quantum Zeno effect.

[@Jop_pop]

As a mathematician, 1:08 is what a physicist would tell you. Very few mathematicians view time as made up of infinitesimal chunks - we'd talk about limits in our explanation. Each individual point in time has no duration, and thus no sense of velocity, and movement only appears in the relationships between nearby points in time (i.e. limiting behavior)

[@PrajwalNayak-so5uv]

Sometimes I also have these kind of illogical doubts which seems to be logical, just like Paradoxes of Zeno, but I used to not think much about it as no one gives it importance saying that it is illogical and has an obvious answer. But now Zeno gave me MOTIVATION to think more and have these kind of confusing doubts, or to be precise, Paradoxes

[@Davidsasz1239]

I would love to see a future PBS Space Time video explaining Nature's article: "A strong no-go theorem on the Wigner's friend paradox" (August 2020).

[@chrisX1722]

Thanks. Now I know how the weeping angels work!

[@zyzhang1130]

I’m impressed that weeping angle has solids science to back it up

[@fireburner81]

Got it. Weeping Angels are susceptible to the quantum xeno effect.

[@Vasharan]

They call it 'quantum locking' in the show, but same diff.

[@tubehellcat]

I was just about to say the same thing 😁👍

[@jorgepeterbarton]

@@Vasharan i must quantum lock my house because i can never remember whether i did, concluding i both did and didnt, but to a reasonable probability like 95%

[@Cronos804]

Im a mathematician and for zenos paradox the argument i know to solve it goes as follows : Some properties just cant be checked by distributing a check onto subsystems. They depend on the whole system and not just its parts. The main example is often given in the form of the pigeonhole principle. In order to fit 5 Pigeons into 4 holes there must be at least one hole with more than one pigeon. In other words : Not every pigeon can have its own hole. You can check this by comparing the number of holes vs the number of pigeons easily. What you cant do is just look at each hole, find that one of them is somehow 'too small' and than conclude that not every pigeon can have its own hole because of this. None of the holes is special - there just arent enough. Same for the arrow. Movement is a property of the object respective to a time interval. If you only look at individual moments, you might draw the wrong conclusion.

[@bigcat5348]

If a quantum arrow can only exist at the start or the end of its journey, then shouldn't such a projectile be completely harmless? Projectiles derive their lethal power from the kinetic energy created by movement from point A to point B...

[@TiagoH1710]

XD

[@sinteleon]

Maybe a perfectly harmless arrow lodged in you, since there probably is a post impact frame.

[@darismelabishai1027]

Fantastic production, as always... despite the missed opportunity of taking a quantum arrow to the knee 12:01

[@ravenlord4]

I always thought that "instantaneous velocity" was just an theoretical artifact of calculus, seeing how in the real world even the smallest distance over time component is subjected to the limits of planck length and planck time.

[@Rich-hy2ey]

Funny there is no impact on the object by the start-stop action of the Planck length travel.

[@slevinchannel7589]

@Parker Sullins Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@djelalhassan7631]

@Parker Sullins Yes true, the Motion-Time is continues you cannot divide them.

[@wormalism]

I thought Planck length was the smallest size a particle could be, but that particle is supposed to be able to move through infinitely divisible space?

[@ravenlord4]

@@wormalism The planck length covers both size and distance

[@BWYT452]

It's taken several years but he's finally talking about the biggest problem with Quantum Mechanics: "observation", "detection", and "measuring". These terms are flawed in QM. People speak and act like "simply observing" something changes it's state. That's untrue. The "observation" undertaken includes some type of particle bombardment and collision allowing for the measurement to be taken. That's like saying you can "observe" my car by sending other cars to collide with it, while ignoring the damage done to my car and the movement changes from the impacts. This is what the particle detector is doing in the infamous double slit experiment which claims to prove "observation" of the state change of an electron from a wave to a particle. The "measurement" they take is to perpendicularly bombard the path the electron will take with particles, then fire the electron through it. If they collide with the electron they can calculate based upon the deflection whether it went through the left slit or the right slit. They then conveniently ignore the fact that this impact also deflected the electron they were measuring. It's not mere "observation" that caused the "state change" but an actual, physical impact.

[@SP-ny1fk]

"And we can take this huge universe and put it inside a very tiny head: you fold it" - Rudolfo Llinas

[@jacquesstoop2587]

Hope you guys one day get round to making an episode on high frequency relic gravitational waves and measuring them using the Li Baker effect. Would be awesome.

[@SkatersHeaven]

i had to come watch this so my ramen would cook.

[@Ghost-hs6qq]

Lmao

[@PMA65537]

Well, perhaps the laws of physics cease to exist on your stove. -- Vinny Gambini

[@En_theo]

It's not really trolling. The Zeno paradox may have been "solved" mathematically but physically speaking, we still have quantum fields and still don't know what time is.

[@wenchinatrenchcoat8459]

Thank you PBS Space Time Team. I am challenged yet again and i love it!

[@Thejericko17]

Thank you for the Weeping Angel 🙌🏾

[@DGCMWC]

I love the look Matt gave the camera at the end of the video when he deadpanned "space-time."

[@Daniel-Strain]

Sounds like Zeno was just describing what I learned on PBS Space Time is called a "block universe" model.

[@ZefulStarson]

It's really nice that Space Time did an episode on the science of D&D.

[@Daavlot]

Oh no! Even Space Time has jumpscares now XD

[@mannyourfriend]

This video was surprisingly understandable! Well done

[@reldahr01]

They proved this in "The Outer Wilds". Alternately you can take a picture of the arrow and then blink as much as you want.

[@slevinchannel7589]

Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@glypheye]

Observe the self, unerringly Don’t blink Become the simultaneity, simultaneously From your personal bang to singularity Be birthless and deathless Without a thought distinguishing the two Become one Just purely observe

[@patrick-kees8962]

Arrows that don't move as long as you stare at them. This sounds like the weeping angels, as long as you don't look they stay still but stop observing them and they appear next to you.

[@corinnemuir1542]

Is Dr Who big where you live?

[@Seth-Halo]

Iirc the Weeping Angel's had something to do with quantum mechanics. Ya they could Quantum-lock. Also fun how they used Weeping angel reference in video

[@Bassotronics]

Súper Mario Ghosts. (Boos / Teresa) As long as you’re looking at them they don’t move.

[@Skubasteph]

or the ghost from super mario

[@Bassotronics]

@ *steve* Thanks for confirming what I said above.

[@stevenjones8575]

I love you, SpaceTime. You're such a fantastic channel. The "Science" cheerleading and the vaunting of scientists above common plebs is one of the (very forgivable) flaws of this channel. I'm not even sure what, exactly, you're cheerleading. The scientific community? Scientific community's consensus? The scientific method? Plenty of non-scientists use reasoning, form hypotheses, test their ideas, check and correct each other, enjoy learning new things and making new discoveries, etc. The scientific community has accomplished many things with the many resources available to it. And I very much love learning the things the scientific community has learned and is sharing. And that community is full of people, people who like to be right and very much dislike being wrong, just like any other group of people. Hailing "Science" as the Best Thing Ever is akin to looking at the court system and judicial community, calling it "Justice" and then hailing said Justice as the best thing ever because they hold principles of truth and fact finding and evidence (which they also often fail at). I admire the principles that the scientific community holds dear. And what should be vaunted--rather than "Science"--are those principles: Logical reasoning, testing, acceptance of one's own errors, evidence gathering, peer review, etc. Because none of these are exclusive to the scientific community. And some communities desperately need to embrace these principles without having to join "Science." Again, I love you all there at SpaceTime. You've greatly enriched my life. Thanks.

[@michaelupdike-bz6rg]

I was reading "How To Teach Quantum Physics To Your Dog" and never understood this. This makes everything click.

[@taufiqutomo]

@JohnR2319881222 Imagine hundreds of years later, our descendants might use that quote to describe how mysterious quantum mechanics is to their ancestors, just to highlight how much humanity's understanding of physics have advanced.

[@jcinaz]

Nice touch @5:01 with "Don't Blink" from Dr. Who.

[@menso541]

Quantum particles: I can't get anything done when you sit there staring at me..

[@Games_and_Music]

They're insecure, stagefreight.

[@project.eutopia]

If the rate the arrow transitions to the final state is linear, say taking 1 sec to completely transition, then no matter how rapidly you observe the arrow the expected time it will take to transition to the final state is 1 sec. If you observe every time interval t, then the chance of transitioning is t and the chance to stay put is 1-t. The expected time is then SUM nt * t(1-t)^(n-1), which equals 1. So whether it is possible to freeze such an arrow intimately depends on the rate the weights in the superposition change over time.

[@nothefabio]

"But Zeno, Greek philosopher famous for his metaphysical trolling" I will use this in class for now on.

[@Pegaroo_]

4:55 Same goes for Weeping Angels

[@lrwerewolf]

"That which holds the image of an angel becomes itself an angel."

[@ChattahoocheeRiverRat]

So my Roku box, computer and TV are now all angels?

[@joecater894]

Way I always thought about quantum.. right or wrong ... is that the object is the wavefunction (that's the absolute truth)... the thing we're looking for ... be it an electron or proton.. that's the thing that doesn't exist on its own... it is the result of the wave's interaction with the thing we use to measure it with. So, the universe is a kinetic universe and the objects that we observe to exist are merely interaction between oscillations... and when we observe interference of matter particles where we believe the particle only passed through one path.. etc ... no, the real object that exists passed through both paths... it passed though all possible paths like a water wave...

[@Games_and_Music]

I kinda expected a reference to Kylo Ren in Star Wars, as that was a pretty cool scene where he froze the blaster shot. But maybe it's a contract thing.

[@blahblahgdp]

If we could manipulate quantum mechanics I think the force could become very real

[@clarke762]

@@blahblahgdp how so?

[@-Blue-_]

@@blahblahgdp can you plz tell in detail

[@pokeman123451]

@@-Blue-_ he has the full proof, but its too long to write here. its simple really, trust him on this one 🥴

[@-Blue-_]

@@pokeman123451 really bro ?? I am serious brother 😥😥😥

[@misseimear]

you unlocked a deep, deep fear within me with that weeping angel jumpscare

[@Camelotsmoon]

So is that why things you want never happen (because you always pay attention to them), and things you don't want to happen always do (because you try to ignore them)?

[@adee4151]

wow, last time I've seen a Great Courses PLUS ad, is five years ago.

[@LarryPhischman]

In the analogy of the "Quantum Arrow", wouldn't the only way to "observe" the arrow be to hit it with another identical arrow?

[@stephenkamenar]

no. there's many ways to observe things. too many. also, partial observations and partial collapse are a thing.

[@april5054]

@@stephenkamenar Theres no way to observe a particle without affecting it, whether by letting it collide into an object, or shooting it with some other particle. if you're not doing that you can't tell what the particle's doing at all.

[@RobertSzasz]

Hit it with something, doesn't have to be an identical arrow.

[@danieljensen2626]

Not necessarily an arrow, but yeah, you have to hit it with something to measure where it is.

[@danieljensen2626]

@Lady Mercy I'm not entirely certain your comment wasn't generated with GPT-3. There are hints of real ideas in there, but it's jumbled up with a bunch of incoherent nonsense.

[@MarkusAldawn]

Zeno's paradox is the thing I show people if they think philosophy is useless. Like the paradox itself, it seems to lend itself to one conclusion ("well it wasn't right, so it doesn't matter"), but a little more digging reveals a totally different answer- i.e. that the thought experiment managed to raise a question about how the universe worked, and proved by reducing to absurdity, that we must be missing something. All of Zeno's steps were at the time reasonable. So the thought experiment helped him identify that at least one of them must not have been. Just by using your brain meats, you can work out there's a SCIENCE that we can do. Einstein did it- his happiest thought was a guy falling off a building and not experiencing Gravity in those moments.

[@tjitsekoster9379]

I love they cleverly manage, through careful writing, to end all episodes with "space time".

[@doobie_mouse2083]

Whats funny is I was already thinking Dr. Who tought me this trick years ago and then bam! Weeping Angel. You guys are the best. Stay awesome and thank you for keeping my mind curious.

[@chingamfong]

When the researchers classify constantly shining laser on an atom as "observation" Ballentine: "Wait that's illegal"

[@slevinchannel7589]

Try also: -Veritasium. -Its ok to be smart. -Neil Red. -Sci Man Dan. -Sci Show. -Practical Engineering. -Hbomberguy!!

[@CroatInAKilt]

I was just recovering from Skull Cat when you went and hit me with the Weeping Angel

[@achronicblunt]

I've always wondered if the inability to measure location and momentum at the same time is that location requires a definite point in space to be measured, while velocity requires measuring two points, and the time that passed between them, and so it is inherently impossible to measure both at once when you are working with objects that exist at the quantum level, which are so small that they can't even be said to occupy more than one location at a time, perhaps, at all. In a sense, you are measuring either location once (i.e. location), or you are measuring location twice (i.e. velocity). Am I missing something? How could velocity even conceivably be measured with a particle only occupying a single location? Without linear distance there is nothing for time to measure. This would propose a solution to Zeno's paradox as well: Particles MUST occupy definite locations in space. At any given moment, their location can be measured. So what if particles do not exist IN a location in space? What if particles ARE a location in space? Then there is no need to ask where they are between two spaces. They "are" not. Because the energy didn't travel between two separate locations: it was in one location, then it was in the next. Zeno's arrow doesn't travel. It teleports. Paradox resolved.

[@djelalhassan7631]

Yes true, the Motion-Time is continues you cannot divide them

[@derek0x436]

What if we consider of our perception and measurements of reality as an under-sampling problem: -Given we are capable of collapsing the superposition of the wave function at some sampling rate dictated by our biology or stability of our best sensor/clock, that defines our perceived reality. What if the underlying quantum system however oscillates between quantized states at such an extreme rate (due to some underlying mechanism) that we introduce aliasing into our measurements of such a reality. -Given the many worlds interpretation, each split reality could map to any of the possible number of relative phase offsets between some initial reference sampling point and the 'carrier frequency' of the underlying quantum system (or even to the fundamental nature/start of time). -There would be no way to de-embed the aliased quantum states in our measurements simply because our smallest measurable time scale is still far too large and so we can only obtain reasonable probabilities of various superpositions through averaging of many observations. -The quantum zeno effect could be an indicator that we just happened to sample and perturb the quantum states at some frequency relative to that 'carrier' which happens to have minimal effects from quantum aliasing/distortion. Essentially, we would measure that same initial quantum state (almost) every time because the sampling system and the measured quantum system are somewhat phase coherent and we got really really lucky it related to an aspect of our perception of reality.

[@pasqualecirone9755]

Reminds me of the Weeping Angels from Dr Who!!! Don't blink!

[@object_name]

But you did notice, that they included an image of exactly that the first time he said "don't blink"?

[@pasqualecirone9755]

@@object_name oh, no. I usually listen to these despite the visuals can be helpful.

[@michaelthompson6624]

Soo, super cool. Quantum thinking, distinct from real quantum stuff, whatever that turns out to be, could be super useful. I love these pbs space-time pulsations.

[@nneeerrrd]

"Because you watched... spacetime" lol 😂

[@tomcan48]

*Finally, acceptance that "watching" confirms that time, or "space-time", is NOT constant. Think about standing in line, waiting to be checked out, time takes 'forever'. Ever concentrate on a second-hand as it sweeps across a watch-face. You can literally STOP IT, if you practice. Those of you who have tried, know. All this meaning is that TIME is NOT-LINEAR. Showing that our general observations are tied to our physical moving instruments, and NOT time itself. So, what is time? Is is nothing more that perceptions of our consciousness, as we negotiate through this physical manifestation called life. We are more, but unfortunately, science has not been willing to accept; however, it seems that barriers are coming down and eventually everyone will understand that we are comprised ONLY of conscious, and projecting our 'reality' on a darkened background.*

[@Tacticslion]

“As it turns out, if you punch an archer really hard and then put him in a box full of concrete, he can’t shoot you with an arrow.”

[@viveklakshman2897]

But then you have to really be observant while punching, because if you miss, you can't freeze the initial state and the wave function collapses to the final state of you getting hit! So, observation is must! Both while just observing or even punching.

[@Tacticslion]

@@viveklakshman2897 Ah! Now you've discovered the violence inherent in the system! (The punching and box-putting *is* the observing.)

[@CraigGidney]

A simple way to test the quantum zeno effect would be to have a fiber optic cable in a loop, with a rotating polarizing filter at one point in the loop. The polarizing filter is a measurement (it either lets a photon through or absorbs it). When the polarizer rotation angle per photon loop time is small, the photon's polarization gets pinned to match the filter's rotation. In the rotating frame of the polarizer, this is equivalent to a zeno effect on the photon's polarization due to constant measurement. So basically what you'd do is show that this rotating polarizer, instead of filtering out all of the photons in the loop, was rotating the polarization of photons in the loop. And that this effect got stronger as the loop got longer or the polarizer rotation speed got slower.

[@CraigGidney]

Even simpler: get a bunch of polarizing filters, and stack them such that each is rotated by a bit more than the last. As the filter-to-filter rotation gets small, the stack starts acting more and more like a polarization filter followed by a polarization rotator. In other words, a slightly souped up version of the usual "diagonal filter between horizontal and vertical filers results in light getting through".

[@ldeadpirate9432]

So, iNeed to come up with something that can observe or decohere my entire physical self on a quantum lvl in order to achieve immortality thru stasis?

[@Pyxis10]

Whats the difference between that and being dead? You aren't aware either way.

[@ldeadpirate9432]

@@Pyxis10 Because iWould be able to use a simple timing system to stop observing my quantum processes at a certain time or after a certain amount of time. Or if it ever stopped working or had power shut off, iWould hope to return to the mobility of the unobserved, XD

[@StopChangingUsernamesYouTube]

Woah. That anti-Zeno effect has some interesting implications to my totally unqualified self. I'm assuming even if possible, it'd be massively impractical to try to speed up decay of fission waste products on a large scale, and potentially extremely hazardous if it did work like that ('cause, y'know, releasing a bunch of energy at an accelerated rate is always safe), but that's making the gears in my head turn, and I like that.

[@coopergates9680]

Well, accelerating the decay of Sr-90 and Cs-137 might bring the power output of a spent fuel rod back up to levels that could run the reactor. Ideally it could all be done in one place until products with half-lives between 90 days and 10^5 years are gone.

[@JoeWithTheHoesBiden]

speeding up dark energy to test the big rip in a localized patch of spacetime would be exhilaratingly terrifying

[@saranshkumar1744]

We are slowly starting to discover that we live in a simulation.

[@jasonemryss]

You really have to appreciate his articulation of concepts we don't really understand...

[@vonempalmeolmos]

"Quantum Ouch" - Yeap. That says it all xD - Brilliant.

[@Kyle-jv8qx]

Nice Zeno reference. Stoicism is the greatest philosophy for practical life hands down and Zeno rocks!

[@matthewb3113]

So you are saying the "Weeping Angels" of Doctor Who are moving in the same way as the arrow. If you bink, they quantum jump and well get ya.

[@thingsiplay]

The property of Weeping Angels is not their movement, but their state. They literally turn into stone if you look at them. And they do not quantum jump if they move, but rather they move very fast and traditionally in space. The concept of quantum jump is totally different. Sorry if that is not what you was hoping for. :D

[@kseriousr]

@@thingsiplay Fast or slow, when you move you are quantum jumping.

[@thingsiplay]

@@kseriousr quantum jumping isn't a movement at all.

[@rjwiechman]

I can't watch a Dr. Who episode with weeping angels. Creeps me out.

[@kseriousr]

@@thingsiplay No, I'm saying your movement is many quantum jumps stitched together. Otherwise, each of your particles have to move through space infinite steps.

[@locdogg12]

Your puns get more and more elaborate with every new episode :D

[@__rikaisuru]

“ Zeno, Greek philosopher famous for his _metaphysical trolling_ ”

[@vorname1485]

He trolled once an archer who tried to shoot an arrow at him.

[@paulperkins1615]

I take that as a hint that this whole episode is an example of Quantum Trolling.

[@MartianLivesMatter]

There is some really cool discoveries about light and its quantum properties when interacting with chloroplasts. They observed some kind of wave from my understanding, like a heart beat.