Depends how much detail you are modelling the surface in though I have to say I think the paper you cited that had an imaginary mass has probably done something silly somewhere and I see that by the end of the introduction it's misrepresenting three of its references so I don't think it's the highest quality.And when it strikes a surface?
It's something Write4U made up to avoid admitting he doesn't know what he's talking about.is "virtual mass" potential?
Well yes, in one sense it could be posited that way. The word potential has several definitions.is "virtual mass" potential?
Here is the wiki definition,It's something Write4U made up to avoid admitting he doesn't know what he's talking about.
In fluid mechanics, added mass or virtual mass is the inertia added to a system because an accelerating or decelerating body must move (or deflect) some volume of surrounding fluid as it moves through it. Added mass is a common issue because the object and surrounding fluid cannot occupy the same physical space simultaneously. For simplicity this can be modeled as some volume of fluid moving with the object, though in reality "all" the fluid will be accelerated, to various degrees.
https://en.wikipedia.org/wiki/Added_mass
This is not of the highest quality? Are you qualified to make that judgement?Depends how much detail you are modelling the surface in though I have to say I think the paper you cited that had an imaginary mass has probably done something silly somewhere and I see that by the end of the introduction it's misrepresenting three of its references so I don't think it's the highest quality.
https://www.sciencedirect.com/science/article/pii/S2211379719330943#Highlights
Mathematically the rest mass of photons is complex number when comes in contact with the surface of matter.
•
Mass depends upon scalar curvature of the surface of matter and wavelength of the photon.
•
Photon itself reveals illusion posing with mass on the surface of matter because of wave-particle duality.
The best possible interpretation of you presenting that wiki definition of "virtual mass" is that you didn't bother to read it because fluid displacement has nothing to do with photons in a vacuum but frankly the more likely interpretation in my opinion is that you don't care whether what you are saying makes sense or not.Here is the wiki definition,
Added mass
I already explained the basis of my judgement.This is not of the highest quality? Are you qualified to make that judgement?
Write4U said: ↑ And when it strikes a surface?
You keep avoiding the question and keep talking about the "vacuum". I am talking about the "surface", a physical object.The best possible interpretation of you presenting that wiki definition of "virtual mass" is that you didn't bother to read it because fluid displacement has nothing to do with photons in a vacuum.
How do you explain that?Rest mass of photon on the surface of matter
Mathematically the rest mass of photons is complex number when comes in contact with the surface of matter.
Perhaps you may want to reconsider that hasty judgement.I already explained the basis of my judgement.
I've read the whole article now and no I do not want to reconsider and you might like to note that the article is over a year old and is cited exactly once and that citation is from its own authors and then there's this gem "Rest mass energy of photon [1] \(E=h\nu_p\) and \(E=m_0c^2\) then the frequency becomes \(\nu_p=\frac{m_0c^2}{h}\)" where they equate the energy of a moving photon with its rest mass. I suppose since this is in a journal it's fringe science not crackpottery but it's a close thing in this case.Perhaps you may want to reconsider that hasty judgement.
...so to answer the question I don't think the paper you are basing it on is plausible so the question doesn't have an answer any more than "if I could fly by flapping my arms why do I take the train" has an answer.Answer my question;
How do you explain that?
What do you think I have been talking about? Whether we are talking about a particle or a wave function duality we are speaking of an encounter with a solid surface, such as in the double-slit experiment, no?And speaking of avoiding the question Write4U, where is that reference about Bohm's work that said that it "assigned an inherent potential that a zero value particle @ c acquires mass, whereas the potential of a collapsing wave function @ c, converts energy into mass, however small"? Or you could just admit that this is more stuff you made up.
Is this incorrect, yes or no?Mathematically the rest mass of photons is a complex number when comes in contact with the surface of matter.
•
Mass depends upon scalar curvature of the surface of matter and wavelength of the photon.
•
Photon itself reveals illusion posing with mass on the surface of matter because of wave-particle duality
Is this flat out wrong, somewhat wrong, somewhat correct, or correct?
Clever!...so to answer the question I don't think the paper you are basing it on is plausible so the question doesn't have an answer any more than "if I could fly by flapping my arms why do I take the train" has an answer.
There are no references to Bohm in the paper that you have cited and it says nothing about pilot waves so it no way addresses my request for a reference.What do you think I have been talking about?
It's incorrect. (Edit: of course that's my reading of it but the point is that there are zero citations from anybody else so it looks like nobody else agrees with them either)Is this incorrect, yes or no?
So, I am not allowed to introduce Bohmian Mechanics into the discussion because it isn't mentioned by someone else?There are no references to Bohm in the paper that you have cited and it says nothing about pilot waves so it no way addresses my request for a reference.
And what are your qualifications?It's incorrect. (Edit: of course that's my reading of it but the point is that there are zero citations from anybody else so it looks like nobody else agrees with them either)
I asked specifically for a reference that Bohmian mechanics says something you claimed it does. You have not provided one. Are you going to do so?So, I am not allowed to introduce Bohmian Mechanics into the discussion because it isn't mentioned by someone else?
A doctorate in physics.And what are your qualifications?
What I've read here which says more than enough about your competence or lack thereof in the topic.What do you know about my qualifications?
I am very accommodating. Just trying to keep everybody happy.....what, someone telling you what to write then you writing it??
OK. In Bohmian Mechanics, particles have no duality. A particle is a particle, always.I asked specifically for a reference that Bohmian mechanics says something you claimed it does. You have not provided one. Are you going to do so?
https://en.wikipedia.org/wiki/De_Broglie–Bohm_theoryThe de Broglie–Bohm theory, also known as the pilot wave theory, Bohmian mechanics, Bohm's interpretation, and the causal interpretation, is an interpretation of quantum mechanics. In addition to the wavefunction, it also postulates an actual configuration of particles exists even when unobserved.
There are two important concepts here that explain the influence of gravity on light (photons).
(In the equations below p is momentum and c is the speed of light, 299,792,458ms.)
The theory of Special Relativity, proved in 1905 (or rather the 2nd paper of that year on the subject) gives an equation for the relativistic energy of a particle; E2=(m0c2)2+p2c2, where m0 is the rest mass of the particle (0 in the case of a photon). Hence this reduces to E=pc. Einstein also introduced the concept of relativistic mass (and the related mass-energy equivalence) in the same paper; we can then write mc2=pc, where m is the relativistic mass here, hence m=p/c
In other words, a photon does have relativistic mass proportional to its momentum.
De Broglie's relation, an early result of quantum theory (specifically wave-particle duality), states that λ=h/p, where h is simply Planck's constant. This gives p=h/λ
Hence combining the two results, we get E/c2=m=pc=hλc, again,
paying attention to the fact that m is relativistic mass.
And here we have it: photons have 'mass' inversely proportional to their wavelength! Then simply by Newton's theory of gravity, they have gravitational influence. (To dispel a potential source of confusion, Einstein specifically proved that relativistic mass is an extension/generalisation of Newtonian mass, so we should conceptually be able to treat the two the same.)
https://physics.stackexchange.com/questions/2229/if-photons-have-no-mass-how-can-they-have-momentumThere are a few different ways of thinking about this phenomenon in any case, but I hope I've provided a fairly straightforward and apparent one. (One could go into general relativity for a full explanation, but I find this the best overview.)
We do.If a photon never has any kind of mass, why not just say a photon has zero mass, regardless of momentum?
It isn't.If momentum is the product of mass and velocity
No as I have already said in this thread invariant mass (or rest mass if you insist) is a different thing from relativistic mass since \(\sqrt{|p_\mu p^\mu|}\neq |p_\mu u^\mu|\) in general.The qualifier "rest mass" suggests that in motion this "rest mass" changes to "relative mass", no?