Ah, well maybe it's a conversion process? They shove everything in and then radiate out the radiation that does emerge?
That's limited by the first and second law of Thermodynamics:
First law of thermodynamics – Energy can neither be created nor destroyed. It can only change forms.
Second law of thermodynamics – the total entropy of an isolated system always increases over time.
The second law means the conversion process must always produce some waste while the first law means you can't just make the energy disappear.
So turning the waste energy (the heat) of the ship into neutrinos, tachyons, subspace radiation or something else that you hope your enemy would struggle to detect (so long as the total entropy of the system has increased) is in keeping with the second law. Converting the energy back into mass is a problem though, because mass is a lower entropy state than heat is, breaking the second law.
For example, imagine a giant ball of ice at -30 degrees Celsius, an ice moon many kilometers across, with a small nuclear reactor buried in the center. The nuclear reactor runs much hotter than the iceball's equilibrium temperature. But no matter how long you wait, the iceball will never melt, even though the reactor core is much hotter than zero degrees. Nor will it ever be possible, by looking at the surface of the iceball, to tell there is a nuclear reactor inside easily. Because the surface temperature is still -30 degrees. The iceball radiates some amount of thermal energy. Now it radiates a little more- at just about exactly the same wavelengths as the rest. Its temperature only increases to, say, -29.9999 degrees Celsius.
That the iceball barely increases in surface temperature once you add a nuclear reactor has nothing to do with the iceball's insulating properties though - you could swap the ice with pure copper and it would make virtually no difference to the amount energy radiated from the surface. It has to do with how effective the iceball is as a radiator. A big iceball with alot of surface area will dissipate the energy of the reactor over its whole surface. Note that ALL of the energy produced by the reactor must be radiated from the surface (because eventually all work must become heat per the second law), but a big surface may mean that the increase in watt radiated per meter squared is too small for any sensor to notice.
However, if you stick the same reactor in a smaller iceball with a smaller surface, the same energy must be radiated over that smaller area which will mean that each square meter of the iceball will be hotter.
HOW INSULATING THE ICEBALL IS DOES NOT MATTER. The energy generated by the reactor wants out, and nothin' is stopping it.
Thing is, black holes don't emit thermal radiation. They have a temperature, but it is measured in microkelvins above absolute zero. And consuming hot material doesn't heat them up significantly, either.
Again, you are taking half of a concept that is correct. Unfortunately, half of a correct concept is still wrong.
When speaking of thermodynamics "heat" is a specific term that isn't strictly the same as what we mean by "heat" in ordinary life. Thermodynamic heat is a special category of energy. The other category of energy is "work".
So "work" is energy that can be used (i.e., it's at disequilibrium), "heat" is energy that can't be used (i.e. it is close to equilibrium).
So yes, black holes have thermodynamic heat.
And yes, black holes aren't hot in the way that we find a frying pan hot.
TOS-era sensors are routinely able to do things like scan planets for life forms from a long distance and resolve visual images of starships that are traveling at warp, while themselves traveling at warp. I'm not sure they were as inferior as you believe.
Most episodes show the TOS sensors as being unable to resolve a starship more than a few million miles away, and being unable to resolve life signs from more than a few hundred kilometers away.
But yes, there are episodes where they're able to do things like create visual images of the insides of cloaked Romulan vessels so they can spy on the enemy talking to each-other.
So, hypothetically, what happens if the ship uses whatever system it normally has to radiate away waste heat... but while only generating 1% as much power as it would during normal intense operations? It should be possible to create the illusion of a very cold ship.
This is quite sensible. And if the normal means of shifting the heat is hard to detect, basically every ship in Trek is flying around with cooling devices that whose principals give everyone an understanding of the basics of cloaking devices. Which has all sorts of interesting implications...
There are legitimate questions about just how hot the ship would actually be. It is entirely conceivable that once the ship is moving at the desired speed (from far outside the system) it is mostly "coasting" ballistically (requiring no engine power). All that's needed is a very minimal level of power for sensors and maybe a relative trickle to the deflector (still power hungry, but nowhere near as hungry as if the ship were running at warp).
...
The CREW are energy intensive systems. LIFE SUPPORT is an energy intensive system. Compared to the cold of space,
anything that sustains humanoid life on it will look like a hot coal.
The only way to hide a hot coal is to hide it against other hot things.
Like the Miracht hiding in the atmosphere of the large gas giant.
Or a person hiding against the (relatively speaking very hot) surface of the Earth.
Likely the most reasonable explanation of why Trek ships find silent running useful in open space is the magical heat dissipation machinery they have is able to take the hot-coal-ness of their ship operating at minimum levels and radiate most of it as things that are harder to detect than EM radiation.
Our normal, intuitive, classic concept of what thermodynamics MEANS is based on the "context" of matter being made out of atoms that behave in certain ways. Black holes obey those laws, but not our intuitive concept of thermodynamics, because they aren't made out of atoms, they're made out of "divide by zero error in the laws of physics."
Actually, black holes are as close to a perfect thermodynamic system as you can get.
Physics only breaks at the singularity. But physics can deal quite happily with black holes as a whole system. Remember, always respect the black hole's modesty! Don't strip the event horizon away!
"Canon did it!" is not a good argument, especially when Canon basically also outs and outright states "Yeah, they're crap."
The only part of canon I am aware of that states that the Constie is crap is a throw-away line by Picard.
All the other sources I've seen portrays the Constie as a heavy cruiser with capabilities somewhere between a Connie and an Excelsior.
And I made the point about their long service life
because people keep bringing up that Picard quote to prove that we should drop the whole class like a hot potato.
Needless to say, I don't see why our policy should be dictated by Picard's off-hand line. Picard's line is contradicted by other canon sources and as you say, what really matters in game is what the in game Constie is like.
The actual game stats of the Constellation make it an extremely useful ship design, in that it fills a role that no other ship design does (i.e., a cheap patrol ship).
Also, one of the elements of investing in the Constellation refit is that refits seem very much tied to flavour in this game. As such, the Constellation, with its service life of 90+ years, should receive more refit opportunities than the Renaissance, which was introduced after the Trek movies and completely retired before TNG started.
In other words, from what we've been told about how the quest works, the Constie looks like a very solid long-term investment.
(I'm sure we could build a better cheap patrol cruiser, but there seems to be zero interest in doing this - so if we ever come up short on br and sr and need combat or defense, the Constie looks to be our only option for some considerable time.)
fasquardon