For all we know, the energy needed to form/de-form objects would be no more than the energy needed to keep programmable matter on standby.
Since the energy is intended for programmable matter, I guess its of no consequence and has become more passive than anything else... possibly no more than keeping the lights on.
VERY Highly Unlikely, even given the larger CAtoms as the method of Programmable Matter that I've devised @ 1 mm³ size and the amount of energy needed to move each block into position, it's going to be a significant amount of energy just to move, much less do the computation, keep the internal computers running, turn on magnets, activate force fields, turn on holography.
That's only 1 block, a chair would be composed of hundred's of thousands -> millions of these little blocks.
Also, you're forgetting about energy reclamation and recycling.
In the 24th century, everything is recycled (energy included). Very little is left as 'waste energy' (if anything). I'd expect of this trend to continue (especially with the Burn).
Energy Reclamation & Recycling won't get you as much as you think it will.
Have you even done the napkin math, or are you going to hand wavium the amount of energy it can generate?
You're not making any convincing arguments as to how much you can possible realistically reclaim.
And its also possible that people who move in an environment with programmable matter can be used as power generation batteries of sort... a supplemental system to whatever it is that powers HQ.
So, even if SF officers tend to expend an amount of energy for creation of chairs and desks to use, its probably reclaimed throughout the day via their movement, or even excess heat the bodies generate might be used as a power source too.
No, not happening. Programmable Matter consumes ALOT of energy, just having enough energy in it's Ultra Capacitors to run itself is an issue and to exist on standby, ready to transform. You would realistically need an external Power Core & Logic Core Blocks to run any item transformed via Programmable Matter.
That won't come cheap or easy.
Here's a rough napkin estimate for how much heat a human emits:
This means that the average person expends ~8.37 x 10^6 joules of energy per day, since most of us are in some sort of equilibrium with our surroundings. Assuming most of this energy leaves us in the form of heat, I calculate that on average we radiate ~350,000 J of energy per hour. Since Watt is just Joules per second, this is roughly equal to energy given off by a 100 Watt light bulb!
You're not going to be able to even come close to efficiently convert that miniscule amount of heat into electricity.
On planets, this wouldn't be an issue at all due to a combo of advanced geothermal, solar, wind, tidal, wave and fusion energy for example.
All that, Geothermal, Solar, Wind, Tidal, Wave, & even Fusion combined will still be a tiny fraction of M/A-M reactors.
The Enterprise-D's Impulse Fusion Reactors are of this caliber:
According to the TNG Tech Manual on page 77:
The total instantaneous output of the IRC (Impulse Reaction Chamber) is throttleable from 10^8 to 10^11 Mega-watts.
Let's not forget about M/A-M Reactors:
12.75 EW: In 2369, the generation of 12.75 Billion GigaWatts (12.75x10^12 MW) of energy was harnessed (over an unspecified time period) in the warp core aboard a Galaxy-class starship. (ST:TNG.S6.E06).
The script was supposed to have “DATA” state 12.75 Billion GigaWatts per second, but was cut-off for time.
NOTE: The source of “GW per second”; was from “Deks” based off deleted text that never made it onto the screen, but the likely reason it was cut-off was because GW or Watts are a Unit of power which is equivalent to 1 Joule/second. And the Technical/Science editor must’ve deleted it for technical/scientific accuracy.
1 Watt = 1 Joule/second.
1 Joule = 1 Watt-second which is one Watt sustained over 1 second.
The editor at Memory Alpha must’ve mis-understood what a Watt is since they think (over an unspecified time period) is valid; there must be a fundamental misunderstanding of what a Watt is.
GeoThermal:
The largest geothermal power project in the world is the
Geysers project in the United States, north of San Francisco, CA. The project site is now home to 22 geothermal stations with 350 wells. The complex has a maximum output of 1,517 megawatts but,
usually, produces just under 1,000 megawatts. Several companies operate plants at the Geysers.
GeoThermal Efficiency
The
thermal efficiency of
geothermal electric stations is low, around 7–10%,
[17] because geothermal fluids are at a low temperature compared with steam from boilers. By the laws of
thermodynamics this low temperature limits the efficiency of
heat engines in extracting useful energy during the generation of electricity. Exhaust heat is wasted, unless it can be used directly and locally, for example in greenhouses, timber mills, and district heating. The efficiency of the system does not affect operational costs as it would for a coal or other fossil fuel plant, but it does factor into the viability of the station. In order to produce more energy than the pumps consume, electricity generation requires high-temperature geothermal fields and specialized heat cycles.[
citation needed] Because geothermal power does not rely on variable sources of energy, unlike, for example, wind or solar, its
capacity factor can be quite large – up to 96% has been demonstrated.
[18] However the global average
capacity factor was 74.5% in 2008, according to the
IPCC.
Solar isn't going to get you much further than GeoThermal, same with Wind, Tidal, Wave.
Fusion would easily eclipse all of Geothermal, Solar, Wind, Tidal, Wave combined.
And Fusion gets easily eclipsed by M/A-M reactors.
And no amount of your "Advanced AI Algorithms" is going to change basic laws of ThermoDynamics.
On stations, harvesting excess heat from people's bodies or energy from their movements woud likely be used as a supplement in power generation (admittedly not a big one, but still).
It wouldn't be really useful other than to power a few LED's.
The idea of converting human body heat into a form of usable energy has been targeted by scientists for years. A resting human male gives off roughly 100-120 Watts of energy. A very small fraction of this can be utilized by a thermoelectric device to power wearable devices. As an example, Seiko's Thermic Watch managed to capture continuous a charge at only one microwatt, so there is certainly a viable market that has not yet blossomed. It being known that 80% of a typical human's body power is given off as heat, current technologies can only produce a few milliwatts of energy. This is not nearly enough to charge your iPhone at a power input of roughly 5 watts, and unfortunately this sort of efficiency may never be possible.
Or at least, that's how I'd design things in the 32nd century... but Disco writers probably hadn't thought about it that much.
I think you need to get a good grasp on what is logically possible by the laws of Thermodynamics before you make claims on power output and consumption.
Do some basic napkin math on how much energy is possible from all your "Green Energy" and compare & contrast it to what ST already uses, it's on completely different levels.
There's a reason why Fusion Reactors & M/A-M is the preferred Power Source and any power generation via "Green Energy" is a nice to have Freebie to run your basic homes on the Planet and power basic electronics.
It's not going to be competitive with REAL power generation like
- Fusion Reactors
- M/A-M Reactors
- AQS (Artificial Quantum Singularity) Reactors
- Tetryon Reactors
- ProtoStar Reactors
- Temporal Cores
- etc.
Those are on completely different scales of Power Generation / Output.