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IIRC there are 3 different methods seen for food creation in Star Trek.
Protein Resequencers (ST:ENT, ST:TOS): which presumably take stored amino acids and combined them with supplementary minerals and flavouring into nutritious cubes that look like marshmallows.
Matter Recombinators/Food Sythesizers (ST:TOS): capable of taking stored matter and producing 'simple' foodstuffs like drinks, iced cream, slabs of protein similar to chicken breast or steak, etc. I think these were sometimes called replicators but the distinction is the production is done elsewhere and the food delivered in seconds on request.
Replicators (ST:TNG +): I swear they described this as direct energy to matter conversion but I can't find the source for this. The seemingly ridiculous energy demands this requires can be justified by the fact they use matter+antimatter reactions for energy supply. A cup of water would take a cup of fuel give or take. (edit: To confuse the issue, it's also described in Discovery that waste matter is broken down and used for things like replication, but matter=energy so it is all the same in the end).
Transporters: it's been clear from the beginning the matter is being deconstructed into energy and sent to the destination where it is reconstructed using the original's pattern. The ethics of it are dubious because every time you see someone transport they are being literally killed in front of your eyes and a new copy created elsewhere.
So... and I'm in no way a Memory Alpha-level ST nerd, caveat lector:
It would imply that transporter and replicator technology are, basically, the same thing.
However, there are cannon issues.
My head cannon is that this is how both replicators and transporters work. If you take a Riker and turn him into Riker somewhere else via a conversion loophole, it's pretty cheap. If you take a 236g of lead and turn it into a cup of Earl Grey (hot), it costs you some energy loss but you're using basically the same loophole. But if you try to turn Riker into pure energy to power the Enterprise because the warp core is offline, really you only get a couple of grams of usable energy because you can't use the loophole and most went into the conversion process -- which is why they still need an efficient fuel like dilithium.
Like, matter-to-energy requires antimatter, which is expensive to produce; but the loophole lets you skip over the antimatter part as long as, in the end, you have basically the same sort of matter.
Yeah, they are. Waste matter is reclaimed as energy/supplies for food production
Ah I think I see the confusion. They are using antimatter for energy creation. Energy to matter for transport or replication is 'paid' for by the matter to energy destruction of the og material (whether it be the transported individual, waste matter collected from the crew, equivalent amounts of reactor fuel, or some combination of these) and the excess cost of thermodynamics is paid for by the matter-antimatter reactions in the reactor.
Is the efficiency miraculous? Yes, ofc. Is it breaking thermodynamics? No. It's easy to see how they are paying for the excess costs with reactor fuel and that is without any hand-wavium of subspace or dilithium crystals being involved.
I was saying that there's nothing, within our current physics, that is not efficient than a matter/antimatter reaction. You get 100% of the energy. Whether or not it's useful energy is another question, and I'm doing some hand-waving around the topics of containment, manipulation, etc. However, nothing we know of is a more efficient use of matter to generate electricity. Not fission; not fusion; not radioactive decay. If we could wrap a black hole in a Dyson sphere and capture Hawking radiation, it'd still be less efficient than M/AM annihilation.
I was saying that - barring a magic technology such as capturing usable energy from quantum fluctuation, saying ST has a form of energy production that is a matter-based energy production that is more efficient than M/AM annihilation would violate our known laws of physics, because introducing a hydrogen atom to an anti-hydrogen atom is 100% efficient and costs nearly nothing to effect.
ST is full of magic technologies, and carrying around a bunch of AM as part of a way to play Mozart in the ready room is really dangerous, so - maybe they use it a bit, but they rely on more stable, less dangerous energy sources like dilithium. Anyway, trying to mix hard science and Star Trek is a dangerous endeavor. ST is more hard-sciency than the Space Wizards in Star Wars, but there's still a vast amount of speculation required to make things work.
They "nuh-uh'd" this in Enterprise. The inventor of the technology is introduced and basically says the people who propagate that theory are a constant thorn in his side, despite having no basis for it in the reality of that universe.
They also show people experiencing, and reacting to other things in, the matter streams during longer transports. Kind of hard to do if you're dead.
You're welcome to believe the inventor if you wish, but I'd ask if you also believe the CEO of Boeing when he says their planes are safe...
Yeah I can see why this'd be confusing. Keep in mind the transport process at the referenced time periods takes ~ 6 seconds. 3 to dematerialize, near instantaneous travel to the destination, and 3 to rematerialze. It is that part in the middle which makes it clear the person has died. Being conscious in the matter stream and hence thinking you're the same person is the result of it being a near-perfect copy.
There are far more examples that refute the inventor:
I think you give valid examples and make your point well.
However, another weird thought is perhaps we’re always slowly dying to some extent. For instance, you at age 7 is dead; today, yourself at age 7 cannot speak or act or think. For instance, in a situation where your young self may have tried to buy a toy, you have different wants and make different decisions - you cannot perfectly replicate what that past self would have wanted.
This might be true even of myself from five seconds ago - I hadn’t thought of a certain wording of this concept yet, and so might have worded it differently under different circumstances - that “me” is gone and can’t do anything. This could be true even a millisecond ago, or a duration approaching either an instant or perhaps one cycle based on whatever the “clock rate” (if there is such a thing) or the human brain is.
However, to function, we need a convenient abstraction for what life and death are. I think my definition of life would be when one particular sum of experiences permanently terminates its (mostly) granular evolution.
Thomas and Will Riker both evolved from the same sum of experiences of the original William T Riker; since those sums of experience are still evolving, he is, within our convenient definition, alive.