[McQueen (OP)]

Great.  Could you please provide a link to one of these experiments?

                    No problem, just look at the door on any microwave oven, a fine grating or mesh is provided. Usually the mesh is much smaller than the microwave radiation that is being shielded or about 1mm in size is normal as compared to the 12 cm size microwave. The holes are made deliberately small to cover a wide range of side frequencies that might arise. The point is, while a pure metal plate will provide effective shielding and act as a Faraday Cage, it would be completely opaque and it would not be possible to look into the microwave oven to see what was cooking.
            Now look at Tesla's cage, it has comparatively huge spacing at least six inches or so:

https://images.app.goo.gl/NDAutVfakFiS7Wf58

               This must be due to the fact that the electric currents that are being shielded have huge wave-lengths and a 6 inch square (roughly) grating, is more than sufficient to shield form any possible significant combinations of frequencies and wave-lengths  that might arise. Size matters.

[alancalverd]

wavelength of EM waves determines their size of influence in space.

No. Astronomers measure pretty much the entire spectrum from ULF (10 Hz or so) to GeV gamma radiation, all coming from umpteen billion light years away.   

[hamdani yusuf]

wavelength of EM waves determines their size of influence in space.

No. Astronomers measure pretty much the entire spectrum from ULF (10 Hz or so) to GeV gamma radiation, all coming from umpteen billion light years away.   

You should understand that I referred to transversal size, not length. Why microwave is trapped inside microwave oven, while visible light can escape through the metal mesh?

[hamdani yusuf]

But experiments clearly show that wavelength of EM waves determines their size of influence in space.

Great.  Could you please provide a link to one of these experiments?

in video#7 we try to determine the size of photon, which is thought to be the quantum of light and all other forms of electromagnetic radiation, including microwave. We use two metal plates to create a single slit with adjustable width.

Determination of "photon size" is continued in video#8, using multiple slit

Spoiler: show

Spoiler alert :
From the experiments shown in this video, it is clear that photon model is not the best way to describe microwave interaction with electrically conductive materials. We need a better model based on following facts:
-   Microwave can still pass through even when its transmission path is almost entirely covered by metal sheet. (This is found when the metal sheet is restricted so it cannot produce opposing electrical oscillation that cancel out the transmitted wave.)
-   Microwave can be completely blocked even when there are much space uncovered by conductor. (This is found when there are adequate conductors to produce opposing electrical oscillation that cancel out the transmitted wave.)
-   Maximum transmission is achieved when the Gunn diode in the transmitter is aligned with the Schottky diode in the receiver, if there is no obstacle between them.

I have uploaded a new video trying to show the blocking mechanism of microwave by various arrangements of conducting material. Those arrangements are modified versions of microwave polarizer used in previous videos.

Spoiler: show

It shows that the same amount of conductor can have different effectiveness in blocking microwave. The result may seem counterintuitive, where an arrangement which have large gaps can be a more effective blocker than another arrangement which is more evenly spread, even though they have the same amount of conductor.
Due to its length, I'll upload my effort to explain the result in another videos, so stay tuned.

And my explanation for the result we get in previous video is shown here

Spoiler: show

The video explains that an obstruction blocks microwave propagation by generating reactive wave with reversed polarity to the original one. The original wave is canceled due to destructive interference.
The explanation is based on antenna theory.

Here is the supporting evidence for the explanation given in previous video about microwave blocking mechanism using a model of antenna as receiver and transmitter at once, and followed by superposition principle.

[Origin]

No problem, just look at the door on any microwave oven, a fine grating or mesh is provided. Usually the mesh is much smaller than the microwave radiation that is being shielded or about 1mm in size is normal as compared to the 12 cm size microwave.

You should understand that I referred to transversal size, not length. Why microwave is trapped inside microwave oven, while visible light can escape through the metal mesh?

These guys have no idea what they are talking about, that is, there ideas are made up in there own minds without evidence.  I just want anyone reading this to understand that these 2 posters are doing pseudoscience.
So that being said, let's see what you guys came up with.  The average wavelength of the EM radiation in a microwave is about 12 cm, so that would mean you guys think a photon is that long. 
You then conclude (correct me if I misinterpreted your statement) that the microwave photon is about 1 mm in diameter.
So then you guys think the size of the photon in this case is a cylinder 12cm x 1mm.  Correct?

When I asked, "Could you please provide a link to one of these experiments?", I was asking for real formal evidence, like a peer reviewed paper detailing the experiment, not some cheesy amateur Youtube videos, sorry for the confusion.

[hamdani yusuf]

When asked about the size of photons, Gemini answered:

Photons, unlike most objects, don't have a well-defined size in the way a marble or a car does. They behave differently depending on the situation. Here's how we think about it:

Point-like: In some interactions, photons seem to act like point-like particles. They can be absorbed or emitted entirely by tiny targets, even smaller than an atom's nucleus.
Wavelength-related size: From a wave perspective, a photon's "size" is related to its wavelength. The wavelength is the distance between peaks in the wave. We can talk about a photon's "effective size" based on its wavelength, but it's not a physical size in the same way a marble is big.
It's important to note that photons are force carriers, not little balls of light. They carry energy and momentum, but their existence is more about the electromagnetic field than a physical object.

[hamdani yusuf]

It gives some sources:

Here are a couple of research papers you can look into regarding the size and shape of a photon:

Electromagnetic fields, size, and copy of a single photon arXiv: arxiv.org:1604.03869 explores the concept of a photon's shape depending on its energy. It delves into how a photon might resemble a thin stick or a plate based on specific conditions.
The Size and Shape of a Single Photon Scientific Research Publishing: www.scirp.org/journal/paperinformation?paperid=10928 discusses the concept of effective size based on wavelength and the limitations of assigning a strict size to a photon.

Searching further in the journal, I found this.
https://www.scirp.org/journal/paperinformation.aspx?paperid=109230

When we talk about a photon, we specify a frequency/wavelength and direction and position, but its physical size is typically not mentioned. It is the atom or molecule that sets the cross-section for a photon interaction not the photon itself. Given this gap in the physics of photons, we have explored here the question of the size/width of a photon perpendicular to its direction of propagation?defined as the size of a hole that will pass the photon with at least 90% probability.

[Origin]

When asked about the size of photons, Gemini answered:

I have no idea who Gemini is, I was wondering what you think.

[McQueen (OP)]

Here are a couple of research papers you can look into regarding the size and shape of a photon:

Electromagnetic fields, size, and copy of a single photon arXiv: arxiv.org:1604.03869 explores the concept of a photon's shape depending on its energy. It delves into how a photon might resemble a thin stick or a plate based on specific conditions.
The Size and Shape of a Single Photon Scientific Research Publishing: www.scirp.org/journal/paperinformation?paperid=10928 discusses the concept of effective size based on wavelength and the limitations of assigning a strict size to a photon.

                    Thank you, it is always nice to have new credible sources to look at. That having been said, ham radio enthusiasts and of course TV enthusiasts with their Yag antennas are very familiar with the concept of radio wave-length to antenna ratios.

[hamdani yusuf]

Electromagnetic fields, size, and copy of a single photon arXiv: arxiv.org:1604.03869 explores the concept of a photon's shape depending on its energy. It delves into how a photon might resemble a thin stick or a plate based on specific conditions.

Here's the abstraction.

Photons are almost involved in each field of science and daily life of everyone. However, there are still some fundamental and puzzling questions such as what a photon is.The expressions of electromagnetic fields of a photon are here proposed. On the basis of the present expressions, we calculate the energy, momentum, and spin angular momentum of a photon, derive the relations between the photon size and wavelength, and reveal the differences between a photon and its copy. The results show that the present expressions properly describe the particle characteristics of a photon; the length of a photon is half of the wavelength, and the radius is proportional to square root of the wavelength; a photon can ionize a hydrogen atom at the ground state only if its radius is less than the Bohr radius; a photon and its copy have the phase difference of {\pi} and constitute a phase-entangled photon pair; the phase-entangled n-photon train results from the sequential stimulated emissions and belongs to the Fock state. A laser beam is an ensemble of the n-photon trains and belongs to the coherent state. The threshold power of a laser is equal to the power of the n-photon train. These provide a bridge between the wave theory of light and quantum optics and will further advance research and application of the related fields.

https://arxiv.org/abs/1604.03869

[hamdani yusuf]

How big is a visible photon?

This video is actually not about photon size but about coherence length. In this video I discuss the behavior of electromagnetic radiation, especially the aspect of interference. The experiment shows that there is no such thing as individual photons in EM radiation. The photon only exists as an energy exchange between radiation and matter.

0:00 General Intro
0:47 What do others say?
1:21 About wavelength and size
2:10 Interference in light
3:08 Electromagnetic waves and detection
5:25 Things that make you go Hmmm...
7:36 New experiment and setup
10:23 Calculation of single photon level (boring)
11:59 Result of the new experiment
12:41 Discussion of the result
16:29 About "shot noise"
17:16 EM field strength and probability of detection
19:18 So how big is it then?
20:02 Deleted scene

At 3:08 the Electric and Magnetic field components have been swapped accidentally.

[alancalverd]

The experiment shows that there is no such thing as individual photons in EM radiation.

And yet we can count them!

[alancalverd]

Why microwave is trapped inside microwave oven, while visible light can escape through the metal mesh?

Wavelength.

I am sure some idiot will point out that mice can escape through the bars of an elephant's cage because they are smaller, but mammals cannot self-propagate in a vacuum because they are not electromagnetic radiation. Beware of false analogies. If it stinks, it is probably philosophy, not science.

[McQueen (OP)]

On the basis of the present expressions, we calculate the energy, momentum, and spin angular momentum of a photon, derive the relations between the photon size and wavelength, and reveal the differences between a photon and its copy.
                On the basis of the present expressions, we calculate the energy, momentum, and spin angular momentum of a photon, derive the relations between the photon size and wavelength, and reveal the differences between a photon and its copy.

                As far as relativity is concerned, from the photon′s point of view, travelling at the speed of light, it is not even moving.  From the perspective of the photon itself, traveling at the speed of light, time dilation effects occur such that, from its frame of reference, it experiences no passage of time and no change in its own length. This means that, in a sense, it doesn't ″experience″ its own motion.
          But for observers in other frames of reference, it is traveling at c. From their viewpoint, the photon is indeed traveling at the speed of light (denoted by 'c' in physics), as it propagates through space. This is consistent with the principle that the speed of light in a vacuum is constant for all observers, regardless of their relative motion.

the length of a photon is half of the wavelength, and the radius is proportional to square root of the wavelength; a photon can ionize a hydrogen atom at the ground state only if its radius is less than the Bohr radius; a photon and its copy have the phase difference of {\pi} and constitute a phase-entangled photon pair;

                 This passage shows how, far into the ivory tower scenario mainstream quantum mechanics is.  They seem to have no conception of what they are saying or how it will resolve. Take a photon that is 0.12 m. that is the result of a microwave that possesses a frequency of 2.5GHz. How on earth is an atom or an electron supposed to accommodate this huge length?  Further, if it is claimed that it is not the electron that accommodates this 12 cm wave-length, what does? The answer I am sure according to some learned members would be to just run away from the problem and say that this is where, Maxwell′s equations take over and to be perfectly satisfied with this explanation.  When I raised the issue of first quantization, second quantization, normalization, re-normalisation, Fock States  etc.,  I was told in no uncertain terms that there was absolutely no need for it and that Maxwell′s equations explained everything in a conclusive manner. Obviously, Maxwell′s equations do not explain everything in a conclusive manner, for if they did there would be no need for quantum mechanics to introduce all these stages.  One has to wonder given the apathy in using such methods, why bother with first quantization, second quantization, normalisation, re-normalisation, fock states, annihilator operators, creator operators and so on, if they have no significance at all and don′t even enter into the picture. What is the reason they are introduced in the first place? Isn′t the answer, as I had suggested, to impose a particle theory on Maxwell′s equations? 

          It is an accepted practice of quantum mechanics, that rather than trying to start a new theory from scratch, to adopt a classical theme and impose quantum notions upon it by imitating some of its concepts. This is what has happened to a very large extent with electromagnetism. The question that has to be asked is, why deny it?  A question arising out of this one, is, does it work? Does it provide an alternative? If the answer to both these questions is negative, why insist on having these theories? Is it to prove that the theory works or that it doesn't or to state as has happened here that there are two theories one that works and one that doesn′t.

[Origin]

The experiment shows that there is no such thing as individual photons in EM radiation.

Well I guess Einstein's estate will have to return his Nobel prize then.  I mean who should we believe, every university that has a physics department or a random Youtube, wait!! I know we can ask a chatbot...

I swear, I actually do think that you get some sort of enjoyment out of living in a state of perpetual confusion...

[hamdani yusuf]

The experiment shows that there is no such thing as individual photons in EM radiation.

And yet we can count them!

How do you count them?

[hamdani yusuf]

Why microwave is trapped inside microwave oven, while visible light can escape through the metal mesh?

Wavelength.

I am sure some idiot will point out that mice can escape through the bars of an elephant's cage because they are smaller, but mammals cannot self-propagate in a vacuum because they are not electromagnetic radiation. Beware of false analogies. If it stinks, it is probably philosophy, not science.

Do you mean longer wavelength means larger effective size?

[hamdani yusuf]

This means that, in a sense, it doesn't ″experience″ its own motion.

Do you mean it has no beginning nor end?
Does it start to have experience when it's propagating through glass?

[hamdani yusuf]

Obviously, Maxwell′s equations do not explain everything in a conclusive manner, for if they did there would be no need for quantum mechanics to introduce all these stages. 

Agreed. If Maxwell equations in Heavyside's notation are examined, they don't seem to accommodate quantization of electric charge and mass. They don't even mention mass in the first place. These clearly show that they are incomplete as description of physical reality. Something needs to be added.

[Origin]

How do you count them?

With a Photomultiplier.