> Temperature is statistics.
Temperature is a measure of the kinetic energy of the molecules in a substance, a measure of velocity.
> Our bodies are penetrated by high-energy cosmic rays, but they do not change the room temperature.
They in fact do. Every time a high-energy cosmic ray interacts with a particle in the room the room temperature goes up. The chances of that happening are small because from the perspective of such a ray space is very much empty. But some substances (such as water) are pretty good at absorbing those rays and that's part of the reason why hard radiation is risky for organisms.
> So, at what temperature do these reactions occur?
Those reactions, when they occur are more like traffic accidents. The impact results in the transfer of kinetic energy and will result in a 'shower' of particles emitting from the point of impact and some of those particles in turn will fragment (but slightly later). They will typically spray out from the impact point. Cloudchamber photographs can show you in nice detail what such interactions look like. So the question at which temperature those reactions occur doesn't really have meaning, each particle has it's own velocity and the end result is some photons emitted by the electrons of the excited particles and probably some new particles (think of them as fragments spraying out from a traffic accident).
> Cosmic muons can accelerate tens of thousands of nuclear fusion reactions in a deuterium-filled lattice, melting the metal, but it does not change the room temperature a lot.
I can't parse any of this. But you're going to have to trust me on the physics of electostatic confinement fusors: the losses are such that there is no known path to producing net energy through that method. You can fuse nuclei, and your link above is interesting but it doesn't change the fundaments at all, it is an optimization and a good one but it doesn't get you closer to 'net out' any more than being able to run the 100 meters in 5 seconds would get you closer to breaking the lightspeed barrier, or like how piling up bricks gets you closer to the moon with every brick but you will never get there.
> So, at what temperature do these reactions occur?
This is again not a very meaningful question, the answer is 'much higher than room temperature'. The interesting question would be: does it produce more energy than you put in and if not can it be improved so that it does and I'm afraid the answer is simply 'no'.
> LENR allows for the creation of a cold fusion reactor, that can be started at room temperature and operated at low temperature, unlike thermonuclear fusion reactor.
That's a novel interpretation of the words 'cold fusion', and uses 'low temperature' in a way that I'm not comfortable with, even if it stops short of getting into the millions of degrees.
> I mean that delay or absence of medical treatment caused lot of premature deaths in these 30 years. Progress saves lives. Delaying of progress reverses the process.
Nobody is delaying progress. Well, maybe except for those that would siphon off budget from legit science to pursue their pet fringe science subjects.
> As you see, private capital is not afraid about loss of scientific reputation.
And that's perfectly fine. Whoever manages to do this in their garage will win a Nobel anyway. But if you don't have an advanced physics degree the chances of you discovering a novel principle for fusion that leads to net energy out on your table top are nil, and if you do have that degree you are probably not much better off. If there was so much as a theoretical path to net energy out fusion that does not require many billions of $ you can bet that there would be people all over it, in fact I would wager that we would have already found it.
> IMHO, it will easier to get funding for LENR reactors when they break the ice.
Possible, but not likely, see above bit about breaking the speed of light.
> I was unable to find a funding for similar idea before the war.
That's not surprising, really. Investors tend to evaluate the risks.
> However, I may pursuit a different goal - a bluster (photon streams with watts of energy per single photon), to kick Russian drones out from the sky.
I wish you all the best with that. But do be aware that a single photon carries no more than 10^-19 Joules and that Watts are a measure of power, not of energy...). This makes me suspect that you know a lot less about this stuff than the confidence with which you present yourself warrants.