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Continuous time refers specifically to the nature of time in the macro scale of our universe with 3 D space and gravity. If you have not figured that out you like in a clueless universe. These properties do not exist at the Quantum scale based on basic Quantum Mechanics. Time only exists at the Quantum scale in terms of momentary events involving Quantum particles as described in the 'Particle in a Box.' You apparently have not realized the Quantum Particle cannot get out of the box.
"Furthermore, such particles should be able to propagate continuously through spacetime and so the object that describes them should "operate" at each point in spacetime. Hence we should consider a field of operators, a so called quantum field?!"
From discrete to continuous - why quantum *fields*?
From what I understand, combining special relativity with quantum mechanics requires quantum field theory (QFT). Why fields? I can see that for quantities already described by classical fields, suc...physics.stackexchange.com
Quantum fields should be continuous.
Particle decay cannot be predicted on an individual particle but a collection of unstable particles can be predicted involving a time scale.
Virtual disturbances also do not violate a certain time limit related to their energy. By keeping their time to small enough increments they are allowed to exist.
All this demonstrates time is just as effective at the quantum scale. If time was just an emergent property why would quantum phenomenon obey time? Gravity must operate at the quantum scale, there are microscopic black holes and the event horizon is subatomic.
Than specifically what did you mean to ask?
OK, that is your belief. Now, is it accepted science?
Npo, they were not. That you *think* they are just shows your lack of understanding of quantum theory.
No, I have responded to it several times and you have dismissed what I gave.
Yes, it does. It refers to any particle at the quantum scale (and, actually, at the larger scale, but then classical mechanics does just as good of a job).
False. And several references have been given to show this is false.
Again, you don't seem to understand the particle in a box. At no point does it refer to 'momentary events' or a non-continuous spacetime.
Your statement about time is simply false as shown by multiple standard references about quantum mechanics.
Electron dots?!?!?!?! They only represent 'symbols' to designate diagram locations of electrons.
6.1 Lewis Electron Dot Symbols | Introductory Chemistry
courses.lumenlearning.com
A Lewis electron dot symbol (or electron dot diagram or a Lewis diagram or a Lewis structure) is a representation of the valence electrons of an atom that uses dots around the symbol of the element. The number of dots equals the number of valence electrons in the atom.
Go ahead and dig your hole deeper.
Continuous time refers specifically to the nature of time in the macro scale of our universe with 3 D space and gravity. These properties do not exist at the Quantum scale based on basic Quantum Mechanics. Time only exists at the Quantum scale in terms of momentary events involving Quantum particles as described in the 'Particle in a Box.' The Quantum Particle cannot get out of the box.
Nothing in the reference concerning the 'Particle in a Box' referes to anything else but the nature of Quantum particles. Electrons can ger 'Out of the Box.'
No, it was not.
No, it is not. That is what we have been trying to tell you. And, by the way, you now have *three* people who have actually studied quantum mechanics that are pointing out that you are wrong in your understanding in this regard.
Uh huh. Tell that to the professors that graded my PhD qualifying exam in quantum mechanics.
No standard references provided to demonstrate your foolish assertion.That particle cannot get out of the box because of the infinite potential on the sides. If you do the more realistic analysis where the potential is finite, the math is more complicated, but this is also done in most basic classes. This has the benefit of giving a first treatment of 'quantum tunneling'.
Your statement about time is simply false as shown by multiple standard references about quantum mechanics.
Quantum dot - Wikipedia
en.wikipedia.org
No, not Lewis diagrams. Sheesh. It looks to me like you are simply googling to see what hits you can get without understanding anything that is being said.
Anyway, until you actually give a reference for your claims that actually supports your claims, I am done.
More incoherent foolishness. Failure to respond continues, .Nothing of value.
I am still waiting for you to respond on what you mean by “the quantum scale”.
It absolutely, 100% is not. You have been shown exactly why it isn't using the basic formulas involved. I find it significant that you've ignored the mathematics. Even the Schrödinger equation itself explicitly has a partial derivative with respect to time in it:
Do you not understand the significance?
"Furthermore, such particles should be able to propagate continuously through spacetime and so the object that describes them should "operate" at each point in spacetime. Hence we should consider a field of operators, a so called quantum field?!"
From discrete to continuous - why quantum *fields*?
From what I understand, combining special relativity with quantum mechanics requires quantum field theory (QFT). Why fields? I can see that for quantities already described by classical fields, suc...
Quantum fields should be continuous.
Particle decay cannot be predicted on an individual particle but a collection of unstable particles can be predicted involving a time scale.
Virtual disturbances also do not violate a certain time limit related to their energy. By keeping their time to small enough increments they are allowed to exist.
All this demonstrates time is just as effective at the quantum scale. If time was just an emergent property why would quantum phenomenon obey time? Gravity must operate at the quantum scale, there are microscopic black holes and the event horizon is subatomic.
It absolutely, 100% is not. You have been shown exactly why it isn't using the basic formulas involved. I find it significant that you've ignored the mathematics. Even the Schrödinger equation itself explicitly has a partial derivative with respect to time in it:
Do you not understand the significance?
Then you don't understand it.
OK but if that’s so why do you not accept that the QM maths of things like the hydrogen atom, or the rotation and vibration of a diatomic molecule, are evidence that space and time are treated as continuous in QM? Is it because you don’t understand that calculus requires continuous variables? Or is it some other reason?