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How can an electron with a classical radius of about 3 x 10 -15 m possibly radiate strongly enough to produce a wavelength that is 5,000,000 m long.

The differences can get even more evident: radio-waves are created due to synchronised, periodic change of electric or magnetic field.

One possible conclusion is that botyh quantum mechanics and classical mechanics are wrong.

How can a 5,000,000 m (5 x 10 6 wave interact with an atom having a radius of 5 x 10-10 m ?

In quantum mechanics, an alternate way of viewing EMR is that it consists of photons, uncharged elementary particles with zero rest mass which are the quanta of the electromagnetic field, responsible for all electromagnetic interactions. Quantum electrodynamics is the theory of how EMR interacts with matter on an atomic level. How can a 5,000,000 m (5 x 10 6 wave interact with an atom having a radius of 5 x 10-10 m ?

Quote from: McQueen on 24/05/2021 05:52:39In quantum mechanics, an alternate way of viewing EMR is that it consists of photons, uncharged elementary particles with zero rest mass which are the quanta of the electromagnetic field, responsible for all electromagnetic interactions. Quantum electrodynamics is the theory of how EMR interacts with matter on an atomic level. How can a 5,000,000 m (5 x 10 6 wave interact with an atom having a radius of 5 x 10-10 m ? One possible answer is matter does not interact with the wavelength of photons, but it rather interacts with the frequency. Time is an active variable, while distance is a passive/reactive variable. The concept of space-time has created the tradition of assuming space/distance comes first. This order appears to be conceptually backwards based on your point. Time has to be measured with a dynamic tool like a clock. A dynamic tool, like a clock, requires a power supply. Distance or wavelength can be measured with a passive tool like a meter stick. The meter stick can work without a power supply. The transfer of energy, via a photon to and from matter, is a dynamic event, that moves EM energy via the electron. It follows that a dynamic interface is required; time. In terms of the electron, if time/frequency was the means of energy transfer between the electron and the radio waves, since radio waves have a very slow frequency, the electron can do a lot in that extended time, to create a long passive wavelength, with the product of frequency and wavelength remaining at the speed of light. All the forces of nature creates an acceleration, which is one part distance and two parts time; d/t/t. Space-time does not fully address the connected power supply called force, since it lacks one time vector. Time-space can have 0,1,2 or 3 time vectors, Three time vectors we would have an acceleration of an acceleration, such as displayed by the entire universe; time3-space. Time2-space; d/t/t, is more common to the EM force.It would better to model the universe using an expanded version of space-time, that looks more like (x,y,z,T1,T2,T3). This extended version tells us our passive position in space (x,y,z) as well as the dynamic attributes being expressed at that point in time. T1 tells us velocity, T2 is acceleration and force, and T3 is acceleration of acceleration. A photon moves with a fixed velocity of the speed of light. For it to interact with matter via the EM force, this fixed velocity needs to decelerate to matter speed. This requires an extra time vector to help mediate the transition from T1 to T2 to T1*, where T1* is matter speed.