An experiment caught a quantum system in the middle of a jump (2019)
quantamagazine.org
quantamagazine.org
The Forever War (1974) by Joe Haldeman
When we talk about the cosmic speed limit and why nothing can travel faster than light, that's what we are really trying to describe. Not that nothing can travel faster than light, but rather information propagates at a certain speed, which also just so happens to be the speed of light. The consequence is of course that nothing can travel faster than the speed of information propagation, not even "quantum leaps".
http://www.lptms.u-psud.fr/membres/trizac/Ens/M2MQPL/Jaynes_...
Consider, how is your current discomfort with this statement any different from the discomfort felt through the centuries when ideas like fields instead of forces, entropy, phase spaces, quantum amplitudes / complex numbers, matrix mechanics, spacetime, curvature, etc were being introduced. They are all abstractions that end up being more reliable than our intuition.
Whether this "abstraction" is a "real thing" is a question for the philosophers. For me there is no difference between the two.
Quantum spin is one that gets me, or the uncertainty principle. It makes me very uneasy, but whether or not I'm comfortable is irrelevant. Those are to the best of our knowledge actual features of the universe.
Abstractions aren't really in the language of the pure sciences. Analogies, metaphors, etc can all serve to help explain but the speed of the propagation of information in this universe is very much defined as the velocity of light in a vacuum in a completely literal sense. There's no abstraction here. Maybe some confusion about what we mean by 'information' but I'm sure there are better resources if you want an afternoon rabbit hole.
If I write a single, 100% certain message and put it in a spaceship it still cannot go faster than light, even though there is no information transfer (entropy of my message (a constant random variable) is 0).
(I'm not saying you are wrong, I am asking to be corrected)
But there's even more information in the rocket, specifically the momentum*position of each of the atoms within the bolt. That quantity for each atom is measurable/knowable and represents information.
How fast information can travel? Just as fast as one can distinguish one state from another. This assumes that there exists an agent capable of distinguishing between the states. How fast can this be done? It doesn't start at one state and end at another state. It is instantaneous recognition of the difference. The information is created just when the difference in states is recognized. There is no start or end. It is an event. Events do not have speed.
The rule determines the quantum field's next state given it's current state (the schrodinger equation).
The state of the quantum field could probably be considered nothing more than information.
Random bits a can randomly arrange into a a configuration that looks like information. But that is not information because there is no intended message behind it. Whereas if an intelligent being organizes a set of bits into a configuration say like in a zip-file which looks like random bits, it is information because it can be decoded into meaning.
Information can not exist without "meaning".
Or are you saying that entropy is fully in the "eye of the beholder"? If I observe something and you observe the same thing but longer, you reduce the entropy further (for yourself) than I do?
Are these fundamentally related, or could we imagine a universe where these are two different numbers?
On the other hand things get really weird if we say the fastest way to transmit information has speed in some way a function of that information (e.g. frequency). https://www.gregegan.net/ORTHOGONAL/00/PM.html
In a more general sense, just because something exists doesn't mean we would evolve the ability to capitalize on it. Think of all of the abilities that would obviously be pretty advantageous which have evolved in species other than ours--that we didn't evolve a hyper-sensitive sense of smell is clearly not because of some deficiency in the universe because dogs and bears and others managed to evolve it..
The bottleneck is never the speed of the photons.
Our reaction times are far greater than the time it takes the light to get to us from anything that could affect us quickly (anything we can eat or that could eat us).
If there were another similar-but-faster thing out there, even if it were thousands/millions/infinity of times faster it would give no real advantage. This feels like basically Amdahl's Law applied to fight-or-flight timing.
Human reaction time is ~0.25 seconds. Light from even 100 meters away takes 300 nanoseconds to get to you. Those are ~6 orders of magnitude off.
If light were millions of times slower, this would stop being true (but then physics wouldn't work anything like the same either, so the point is a bit moot).
From the synopsis in Wikipedia: “Dragon's Egg is a 1980 hard science fiction novel by Robert L. Forward. In the story, Dragon's Egg is a neutron star with a surface gravity 67 billion times that of Earth, and inhabited by cheela, intelligent creatures the size of a sesame seed who live, think and develop a million times faster than humans.”
You can rule out universes with light having a propagation speed greater than information for obvious reasons but, for less obvious reasons, you can also mostly rule out a universe with the same physics as ours but a lower light propagation speed. The only way to make that second part not true that I can think of is to give photons a very small but non-zero rest mass. Otherwise, it's hard to reason about it at all.
To proceed, I'd then assume there's still lorentz invariance but with the information speed rather than light speed. Additionally, they'd have to be pretty close in value to produce what we see.
The big sticking point I have though, is what on earth the electromagnetic force would look like in that scenario. I've no idea.
According to [0], the most accepted upper limit on a possible mass of a photon is m < 10^-14 eV/(c^2).
[0] https://en.wikipedia.org/wiki/Photon#Experimental_checks_on_...
You have to pick something. Now, it doesn't have to be self-propagating packets of electromagnetic waves, but whatever you pick will be that universe's equivalent of light.
Frankly, we are not required to have time there.
The speed of light in water is 0.75c, but other things sometimes travel faster than that in water -- Cherenkov radiation (the blue glue in reactors) happens when you have eg electrons moving through the water at speeds faster than 0.75c.
Have they proven in this research (or other research) or is it generally understood that quantum teleportation propagates at the speed of light?
QT does not allow for mass transfer, it's purely about information. So, no ansible for us yet.
Is that correct?
Or maybe the question is about the speed of the collapse of the entangled pair upon measurement. That question makes a bit more sense, but its answer is simply "unobservable". The observable effects are all the same independently of the answer of the question, so we do not care. The theory does not say it is instantaneous, the theory says the answer does not matter.
You can decide for yourself what this means "philosophically". For most working scientists "unobservable" means that science does not care about it, because it does not matter when considering the workings of the universe. Some of us do try to see whether some extension of the current theory would make the answer observable and also help explain other difficult ideas (but Bell inequality experiments do confirm that it simply does not matter).
But notice that this particular question is something we can at least contemplate mattering. While on the other hand, we hardly can even make up an imaginary setting in which the speed of the "teleportation" matters. It is more of a sign that the mathematical treatment we are using is unnecessarily obtuse, because in a "good and proper" mathematical theory describing the effect, such "nonsensical" questions would not be able to appear.
Of course, it might turn out that the question matters in some extension of quantum mechanics that leads to a grand unified theory, but that would be a surprisingly boring outcome. It is more probable that it does not matter and we need to find a language which explicitly shows it does not matter. Kinda reminds me of this comics https://calamitiesofnature.com/post/19171164647/fairies
It's like an entity within a game of life simulation trying to figure out if the simulation is being run by Xlife or Golly. There's just no way to tell, and no slam dunk prior to eliminate one of them.
Quantum teleportation requires both entanglement and classical communication channels to be present.
And all of this has nothing to do with FTL communication. No matter what piece of known physics you use, FTL communication is simply not possible. It is not just "not known how to do it", rather it contradicts and causes unresolvable paradoxes in an enormous body of extremely well verified laws of nature.
[1] https://en.m.wikipedia.org/wiki/Quantum_Trajectory_Theory
Quantum Leaps, Long Assumed to Be Instantaneous, Take Time - https://news.ycombinator.com/item?id=20105091 - June 2019 (95 comments)
What an awesome way to conclude an excellent article!
https://en.wikipedia.org/wiki/Planck_units#Planck_time_and_l...
Both Planck length and Planck time are way too short for current experimental techniques.
Figured others might enjoy this!
1. https://en.wikipedia.org/wiki/Planck_length#Visualisation
[1] https://www.preposterousuniverse.com/blog/2013/10/18/is-time...
I think he doesn't consider time to be 4th (or part of 3+1 or \R^3 \times \R ) dimension... or in heat equation language: that the domain is a not parabolic cylinder.
An illusion, if just a fancy one.
I believe the Lorentz Transformation more than I believe eloquent arguments.
Possibly not discrete, as we envisage it - the small scale does not usually follow human intuition at all.
Though I would say that "there is a limit to measurement" of length and time entirely. Not just to accurate measurement.
But.... a thought experiment:
If a particle experiences time differently dependent to its speed in relative to a frame of reference, i.e. that time experienced is scaled according to its speed. Since speed is definitely not discrete, scaling it with time, even though time in itself is discrete as you claimed, still makes the time experienced for said particle to be continuous, no? Is this not a contradiction?
Why is it definite that speed isn't discrete? Distance is discrete in plank length, and time is discrete in plank time.
Speed being distance over time, is one discrete unit over another. Isn't it by definition discrete?
At a macro level we may abstract over it's discreteness, but isn't it necessarily discrete if it's made up of discrete units?
"A static, entangled state between a clock system and the rest of the universe is perceived as evolving by internal observers that test the correlations between the two subsystems. We implement this mechanism using an entangled state of the polarization of two photons, one of which is used as a clock to gauge the evolution of the second: an "internal" observer that becomes correlated with the clock photon sees the other system evolve, while an "external" observer that only observes global properties of the two photons can prove it is static."