The only thing I can think of is microwave energy heating up the interior of the trees.
It is a misunderstanding that microwaves (as in microwave ovens) cook food from the inside out. The cooking chamber of a microwave oven is designed to become a resonator where the walls of the chamber at at specific distances from each other in order to reflect the waves at the right points. This resonant chamber causes the microwave energy to form what is called a "standing wave" which means the reflected wave will be precisely timed with the frequency of the wave and give it amplification when two wave crests meet and attenuation when a crest and a trough meet. This is important to the cooking process.
These areas of higher and lower energy create hotspots and cold spots inside the chamber. Any food located at a hotspot will cook quicker, but still from the outside in. It seems to cook from within first due to the better transfer of heat due to the hotspot. The cold spots will have less energy and less heat transfer making them cook more slowly, but still from the outside-in. The turntable the food rotates on is necessary to move the different parts of the food through the hot and cold areas so that your food cooks more evenly. Older models that left the food stationary used a "mixing fan" which was a rotating metal mechanism that would move the hotspots around rather than moving the food. All of this is only possible because the microwave energy is in a "standing wave" due to the resonant cavity.
Traveling waves do not create hotspots and cold spots due to wave reinforcement and interference will not efficiently transfer energy to create heating. There will be a low-level heating effect, but it will takes several orders of magnitude more input energy in the travelling microwave signal to do what a standing wave can do in a resonant chamber. Using a microwave "weapon" in a scenario such as these trees would only operate in a travelling wave mode as there is no chamber of the proper dimensions to produce a standing wave. You would need tremendous amounts of energy to set a tree on fire with a travelling wave microwave emitter. It would also need to be tightly focused into a beam in order to prevent the inverse square law from greatly reducing its power over distance. It can be done, but not very well or very far.
There is a device that can produce tightly focused microwave energy of high power and relatively small form factor. The predecessor to the LASER was the MASER which operates not in the visible or near visible light spectrum but in microwaves instead. Same exact principle as the laser but with a longer wavelength. Masers produce travelling wave microwave energy. They can output quite high energies, but they still would not be practical for setting trees or structures on fire just as lasers would be equally bad at the same task. Lasers ablate material which means they cause material to vaporize instead of burning. The higher the intensity of the beam, the more ablation occurs which is bad at setting things on fire. Only the outer, lower energy areas of the Gaussian distribution of laser energy can possibly provide just enough energy to get some materials to burn rather than ablate, but the bulk of the energy in the beam will be wasted if you just want to burn things. Same goes with masers as they will be bound by the same physics. It's not at all like the movies and TV show us. They make for terrible weapons. Chemical lasers are better at this, but those things suck big time in their operation and that's a rabbit hole of its own.
Anyway, no this isn't the evidence of a microwave energy weapon. There's nothing about it that would be explained better than with mundane methods. I stopped believing videos on the internet for these very reasons. I bet this footage isn't even recent or in the area where it is claimed to be. I'll stick to what I know and draw my own conclusions based on my experience and knowledge. Skepticism is the most important tool we have to separate truth from (((lies))).
Thanks! Great explanation!
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