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Lack of Dyson Swarms in Federation core systems?

You are superimposing your personal opinion (limitations) onto fictional technology of which the said fictional characters are supposed to have better understanding than you or me.
Well, the entire basic premise of how starships actually work is based on that assumption, so it's not a personal opinion such much as it is a direct observation.

It's kind of like when Spock says "I am a Vulcan. I am incapable of lying" when we know for a fact Vulcans lie about shit whenever they have a logical reason to do so. We just conclude that Spock, knowing the reputation for Vulcan truthfulness, has a logical reason to lie about being incapable of lying (e.g. Klaa will probably believe him).

They said so on several occasions
And they were wrong.

Also, direct conversion of energy into matter is not impossible.
It occurs in nature
Yes, it occurs in vacuum fluctuations via pair production, and also occurs in every endothermic nuclear fission, fusion or chemical reaction.

To be clear: it is the conversion of energy into mass, not matter. Mass and energy are equivalent. Matter is the set of all things that possess both mass and energy. Energy isn't a "thing" unto itself, it's a quality -- like mass -- that matter happens to have. A given amount of matter can trade mass for energy or it can trade energy for mass but energy cannot be "converted" into matter anymore than temperature can be converted into coolant.

I disagree, because it is established in canon that replicators and transporters convert energy into matter.
They don't. It's just a colloquialism. Probably exactly the kind of thing Spock would pedantically correct if he happened to be there.

But the idea here is to generate excess of power so its at your disposal if you need it.
So buy TWO fusion reactors instead of one. You've accomplished the same goal at an infinitesimal fraction of the cost of building a dyson swarm. TEN fusion reactors would be massively excessive, but would still be far cheaper and less time consuming.

Engineers seek to solve problems that someone actually has. A theoretical problem that nobody calls for a theoretical solution. A dyson swarm is such a solution.

Your point?
These people use M/AM reactions to generate massive amounts of power and warp the fabric of space-time so they can travel at FTL (among other things).
Replicating smaller things inside ships directly from energy would be a piece of cake in comparison
No, because nearly every race in the galaxy uses the annihilation of matter and antimatter to produce energy despite the inherent dangers involved (antimatter containment failures, etc). If it were possible to convert mass into energy WITHOUT using antimatter, there are literally hundreds of situations where their ability to do this would have been useful ("Peak Performance" being the most obvious). The only race that doesn't seem to use antimatter are the Romulans, and they convert energy by dumping mass into an artificial black hole and collecting the radiation that spills out of its collapse (basically fusion on steroids).

So this is a constraint in real world physics as much as it is in Star Trek: mass and energy cannot be DIRECTLY exchanged without annihilation or particle/antiparticle pair production. They can reorganize and transport matter relatively easily using transporters and replicators, and THAT does not require pair production of matter and antimatter, but it also doesn't provide you with a source of energy, which is why warp cores are still a thing.

It's not just solely about a colony... a Federation member world that has a fully developed and colonized star system would likely benefit from having continuous influx of energy from the star without having to rely on primary reactors unless in case of emergencies.
You still haven't explained why their reliance on primary reactors wouldn't be preferable in the first place. EITHER system still has to actually be built before you can benefit from it. A series of redundant reactors, however, would take a couple of weeks to assemble while a dyson swarm would take years and would be a million times more expensive.

The town I live in doesn't have its own powerplant and my house doesn't have its own generator... is there a reason why we would need either of those things when the municipal state-wide power grid is 99% reliable?

Comparison is not exactly the same. Within the confines of Trek universe at least (and using their technology), various limitations of technology can be overcome by simply having enough energy to run it.
The question remains: what exactly can you accomplish with a dyson swarm that could not be more easily accomplished with a couple of warp cores?

New scientific research easily requires massive amounts of power... imagine what the Federation could accomplish with a partial Dyson Swarm in operation.
Is it more than they could accomplish by simply giving every one of their researchers a 500GW fusion reactor?

That's a serious question, by the way. How much energy do they actually NEED, and what makes you think the dyson swarm is the most efficient way of meeting those needs?

Really, this is the "High Frontier" nonsense all over again, where Gerard O'Neill tried to convince NASA that his orbital powersat idea was the wave of the future and then utterly failed, after 10 years of trying, to convince anyone to seriously invest in it. It became clear that almost everything O'Neill had proposed could be done at one tenth the cost just by NOT launching all of that hardware into space and simply building it slightly larger on the ground, which is what they ended up doing.

Same with the dyson swarm. If you've got the resources to build ten thousand gigantic solar power satellites, you might as well just build a million fusion reactors instead. The dyson swarm won't do anything that a million fusion reactors won't do; if it's living space you're after, then reduce it to ten thousand fusion reactors and put them on space stations instead (which you can now put anywhere you like, even in the outer solar system near gas giants for hydrogen collection, since they have fusion reactors and don't have to be in a swarm).

Because they have other technologies that accomplish the same job more efficiently and less expensively.
 
Well, the entire basic premise of how starships actually work is based on that assumption, so it's not a personal opinion such much as it is a direct observation.

It's kind of like when Spock says "I am a Vulcan. I am incapable of lying" when we know for a fact Vulcans lie about shit whenever they have a logical reason to do so. We just conclude that Spock, knowing the reputation for Vulcan truthfulness, has a logical reason to lie about being incapable of lying (e.g. Klaa will probably believe him).

Vulcans generally don't lie unless very specific set of circumstances compel them to do so... but its not the same as saying 'replicators convert energy to matter, except that they don't.'
Not even remotely the same... and I'm sorry, but I'd rather go with the characters and their canonical statement that replicators convert energy into matter (incidentally, these are feats that WE are experimenting with right now).

And they were wrong.

Or... you could be wrong.
No offense, but you don't hold the authority on what is possible or plausible in Trek (let alone what could be acomplished with hundreds of years of exponential advancements - in this line of thinking, the Federation should have actually been portrayed as hyper more advanced than what we saw in the 24th century).

Yes, it occurs in vacuum fluctuations via pair production, and also occurs in every endothermic nuclear fission, fusion or chemical reaction.

To be clear: it is the conversion of energy into mass, not matter. Mass and energy are equivalent. Matter is the set of all things that possess both mass and energy. Energy isn't a "thing" unto itself, it's a quality -- like mass -- that matter happens to have. A given amount of matter can trade mass for energy or it can trade energy for mass but energy cannot be "converted" into matter anymore than temperature can be converted into coolant.

To quote Picard:
In the year in which we live, humans have discovered that energy and matter are interchangeable. In the holodeck, energy is converted to matter. Thus you have substance. But only here.
To quote Data:
DATA: Perhaps we should consider the transporter system. It uses many of the same principles as the holodeck. Both, for example, are capable of converting energy into matter.

Janeway says the same thing about holodecks as Data (who also mentioned at one point that they lost the ability to replicate complex elements due to energy loss).

What Picard is essentially stating here (and Data confirming) that Humans simply built upon the process by changing one state (also known as energy) into another state (known as matter).

Now, if you wish to argue this, by all means.
But don't forget that we are also engaging in experiments of converting light (energy) into matter TODAY.
Obviously, in science, 'energy' and 'matter' may be interchangeable, but they still describe two different states for differentiation purposes.

They don't. It's just a colloquialism. Probably exactly the kind of thing Spock would pedantically correct if he happened to be there.

A 'colloquialism' which apparently manifests itself across TNG, DS9 and VOY repeatedly, and was also repeated by AI known as Data (who is known for not making such simple mistakes).

So, either they and their whole technology is wrong... or you might be wrong.
I'm gonna go with the premise that you might be/are wrong.

So buy TWO fusion reactors instead of one. You've accomplished the same goal at an infinitesimal fraction of the cost of building a dyson swarm. TEN fusion reactors would be massively excessive, but would still be far cheaper and less time consuming.

By that same definition, why bother building a gigantic starbase (like Starbase 1 or better yet the Yorktown) or two in the middle of nowhere for starship construction?
Wouldn't a simple shipyard suffice? Far less resources, personnel and material involved.
A self-replicating dyson swarm can easily serve as a multi-functional array of facilities that would provide massive energy for current and future projects.
Just 1 massive solar collector the size of 10 km would be equivalent or better than a Federation starbase for example - and it could still have fusion power generators in case they are needed.
You can easily replace most starbases like that, as its likely you can simply replicate whole ships and massive superstructures into existence from the ridiculous amount of energy a star provides continuously than bother with replicating ships in stages and then assembling them (which is still pretty fast, but wouldn't inherently beat 5 to 10 seconds of materialization).

Engineers seek to solve problems that someone actually has. A theoretical problem that nobody calls for a theoretical solution. A dyson swarm is such a solution.

Depends on whom you ask.
The Federation focuses more on exploration, discovery and furthering its own scientific understanding of the universe.
Building a Dyson Swarm might easily provide them with the necessary baseline to massively accelerate construction, scan areas of the galaxy that would otherwise require starships years to get to, improve their understanding of energy accumulation, storage, conversion, etc.

We're talking about a combination of societies that was able to accomplish deliberate time travel by warping around a star in the 23rd century.
I mean, they already have a bunch of historians from the future studying the past.
What purpose did the Federation have pursuing development of time travel technology and allowing historians to study the past if it's just running a too dangerous risk of changing the timeline?


No, because nearly every race in the galaxy uses the annihilation of matter and antimatter to produce energy despite the inherent dangers involved (antimatter containment failures, etc). If it were possible to convert mass into energy WITHOUT using antimatter, there are literally hundreds of situations where their ability to do this would have been useful ("Peak Performance" being the most obvious). The only race that doesn't seem to use antimatter are the Romulans, and they convert energy by dumping mass into an artificial black hole and collecting the radiation that spills out of its collapse (basically fusion on steroids).

Peak Performance? The Hathaway was stripped to it's bare bones intentionally and didn't even have warp capability.
The ship was crippled by intent... and it took Wesley's m/am experiment to just give the ship enough of a 'jolt' to activate Warp briefly.
Besides, that was a Constellation class star-ship which didn't even have replicators... all of the technology in the ship was based on 23rd century (including console interfaces).

The Hathaway didn't have a functional warp core... the ship was likely running on fusion generators, and I would imagine that fusion reactors do not provide sufficient energy on starships to run replicator (unless you are on a starbase like DS9 - which btw had 3 massive fusion reactors - which begs the question: why didn't the Cardassians simply use 3 large warp cores instead... or automation for mining and processing as opposed to using Bajorans that are by definition slow and inefficient by comparison?
Simpler answer might be that cardassian replicators on DS9 actually manipulate matter and not energy (unlike the Federation), and were just plain idiots who did nothing but hurt themselves if they realistically expected manual labor to deliver same efficiency as automation.
I know they conquered the Bajorans and wanted to subdue them through slavery, but come on, anyone with a basic understanding would know that running workers into exhaustion and stripping the planet to nothing only hurts so-called 'productivity' when the needed minerals and resources are likely found in far more abundant supplies in asteroids.

So this is a constraint in real world physics as much as it is in Star Trek: mass and energy cannot be DIRECTLY exchanged without annihilation or particle/antiparticle pair production. They can reorganize and transport matter relatively easily using transporters and replicators, and THAT does not require pair production of matter and antimatter, but it also doesn't provide you with a source of energy, which is why warp cores are still a thing.

Starships use a combination of Bussard collectors (which accumulate matter from space), Fusion and M/AM reactions to generate energy.
We have seen time and again that replicators on board Federation ships tend to require M/AM reactors to work.
The Enterprise-D did supply the Uxbridges in 'The Survivors' with a matter replicator that was fairly limited. So it was likely this less sophisticated version can run on a fusion reactor to generate basics.

You still haven't explained why their reliance on primary reactors wouldn't be preferable in the first place. EITHER system still has to actually be built before you can benefit from it. A series of redundant reactors, however, would take a couple of weeks to assemble while a dyson swarm would take years and would be a million times more expensive.

The town I live in doesn't have its own powerplant and my house doesn't have its own generator... is there a reason why we would need either of those things when the municipal state-wide power grid is 99% reliable?

Let's see, fusion reactors and even M/AM reactors end up running out of 'juice' eventually.
Using the star to power your primary systems and rely on actual power generators as a backup is a much more sensible approach because the star is much less likely to run out of power soon.
Also, in the case of the Whale probe which used dampening fields to strip away starships power generation, Starfleet ended up resorting to Solar power in order to power subspace communications.
That way, you'd only end up using the reactors a fraction of the time and would last virtually indefinitely - and their energy storage options are far superior, suggesting they can store massive amounts of power for later use.

The question remains: what exactly can you accomplish with a dyson swarm that could not be more easily accomplished with a couple of warp cores?

I already provided plausible answers to that one... but fundamentally speaking, you won't know until you actually make one and see what kind of paths it enables from that point on.

People tend to be limited in perceptions and ways of thinking until they end up doing something bigger that opens up ways of thinking for other ideas.


Is it more than they could accomplish by simply giving every one of their researchers a 500GW fusion reactor?

That's a serious question, by the way. How much energy do they actually NEED, and what makes you think the dyson swarm is the most efficient way of meeting those needs?

Please provide me with a reference that says any number of Warp cores can equate the energy output of a single star like our own.
And to answer your question, yes, it IS more than they can accomplish by giving researchers a 500GW fusion reactor.
These people manipulate subspace and scan tens, hundreds, or even thousands of lightyears, they bend the fabric of space-time.

Look at how much power an upgraded Large Hadron Collector uses vs the non-upgraded one.
Plus, the size of LHC is what also enables researchers to conduct much better experiments.
A similar thing could be extrapolated with a self-replicating solar collector that houses other technologies.
The underlying scientific research that could be done from say a fully done Dyson Swarm would likely dwarf anything in the Federation by orders of magnitude on a much larger scale than before.

Really, this is the "High Frontier" nonsense all over again, where Gerard O'Neill tried to convince NASA that his orbital powersat idea was the wave of the future and then utterly failed, after 10 years of trying, to convince anyone to seriously invest in it. It became clear that almost everything O'Neill had proposed could be done at one tenth the cost just by NOT launching all of that hardware into space and simply building it slightly larger on the ground, which is what they ended up doing.

That has more to do with human short-sightedness and living in a ridiculously outdated socio-economic system that is based on money and cost efficiency and has nothing to do with our ability to actually make something from a resource and technology point of view.

Those structures could have been built back then, and I have to wonder how much more we could have learned and advanced if we had done so.

Same with the dyson swarm. If you've got the resources to build ten thousand gigantic solar power satellites, you might as well just build a million fusion reactors instead. The dyson swarm won't do anything that a million fusion reactors won't do; if it's living space you're after, then reduce it to ten thousand fusion reactors and put them on space stations instead (which you can now put anywhere you like, even in the outer solar system near gas giants for hydrogen collection, since they have fusion reactors and don't have to be in a swarm).

10 000 gigantic solar power satellites that house plethora of technologies which can be used for scientific and technical advancement and are self-contained cities in space.
And most likely, those 10 000 gigantic solar power satellites would produce more energy than a million fusion reactors could (which would run for a set amount of time and then you need to make new ones).

Because they have other technologies that accomplish the same job more efficiently and less expensively.

Expense is hardly what concerns the Federation.
If they have the technical, scientific and resource capability to make something, and it could result in massive breakthroughs, they probably will do it.
Several things in Trek that Federation made didn't make particular sense to people who watched it... doesn't mean such things would have 0 intrinsic value to society and civilization at large though.

Without people who think big, people that think small will likely end up dragging others down.

Besides, you don't have to stop constructing existing energy sources which can be used on starships and other stations.
For something as large as the Federation, even without replicators, they can easily scrounge up enough matter from nearby asteroids in massive quantities to do the trick.
 
Vulcans generally don't lie unless very specific set of circumstances compel them to do so...
So everyone who said "Vulcans do not lie" is wrong.
And when Spock says "I am incapable of lying" he is... well, lying.

but its not the same as saying 'replicators convert energy to matter, except that they don't.'
Right, it's like saying "Columbus proved the Earth was round." It's not really a lie, it's just wrong.

Fictional characters can be wrong, you know. It's one of the many things they have in common with real people.

No offense, but you don't hold the authority on what is possible or plausible in Trek
Plausibility can be judged logically based on what is known. It is entirely possible, for example, that the Vulcan Science Directorate is correct and time travel really is impossible; that all the times we thought we were seeing time travel were really just hallucinations, illusions, clever trickery by aliens, or alternate universes that were slightly time-shifted somehow. But from what we've seen in Star Trek, this proposition is not all that plausible.

Likewise, it is entirely possible that someone will invent a magical device capable of "converting heat into coolant and then back into heat," but it is not plausible that this device would literally do this; it is more likely that such a device would TRANSFER heat to coolant, which would then move that energy to a new location and release that heat in a new location. It is, likewise, more likely that a person who described the device in the former terms is simply mistaken or repeating something he heard without knowing or caring that it is incorrect.

What Picard is essentially stating here (and Data confirming) that Humans simply built upon the process by changing one state (also known as energy) into another state (known as matter).
In which case they're the word "energy" very differently than you are using. To be sure, "energy" in the usual sense is not a "state" of anything at all, it's a quantity of the ability of matter to do work.

"Energy" in this context could easily be a colloquialism for something more complex (say, phased-matter particles suspended in a metastable quantum flux). But that is not the same thing as "the ability to do work" and it is not the same thing that comes out of a power generator.

I would grant that there may indeed be a different kind of "energy" with a different meaning in day-to-day usage, like the way "gas" could mean "gasoline" or "matter in a gaseous state." If I'm telling you that my car is almost out of gas, I probably don't mean that the inside of my car is a vacuum chamber.

By that same definition, why bother building a gigantic starbase (like Starbase 1 or better yet the Yorktown) or two in the middle of nowhere for starship construction?
Same reason you build anything anywhere: convenient location. Starbase 1 is conveniently close to Earth, Yorktown is conveniently close to the frontier.

Peak Performance? The Hathaway was stripped to it's bare bones intentionally and didn't even have warp capability.
The ship was crippled by intent...
Well, no, the ship was crippled by the lack of antimatter in its fuel tanks.

If the ship could be powered entirely by dumping garbage in a replicator slot, they wouldn't have NEEDED antimatter at all, they would have just shoveled all the junk lying on the floor into the slot (that totally would have been Wesley's job, the little fucker).

We have seen time and again that replicators on board Federation ships tend to require M/AM reactors to work.
Except when they don't. The portable replicator Picard gave to Kevin Uxbridge comes to mind. And there's also the aliens from "Encounter at Farpoint" that can apparently manufacture relatively massive objects just from the energy they get from the Bandi's geothermal power plants. No warp core required.

Let's see, fusion reactors and even M/AM reactors end up running out of 'juice' eventually.
When? And is constant replenishment more expensive than the expense of building and maintaining a dyson swarm?
 
Please provide me with a reference that says any number of Warp cores can equate the energy output of a single star like our own.
A single warp core can apparently collide 1kg or matter with 1kg of antimatter every second (probably more a higher warp factors, but this is a good baseline). The fusion of the sun converts 4 million tons of hydrogen to heat and light every second.

So in answer to your question: 4 billion warp cores would equal the total output of a single star.

What, if anything, has the Federation ever attempted to do that actually requires the output of 4 billion warp cores? They could meet literally any energy needs they might have with a fraction of that; even a thousand warp cores would be overkill for their most ambitious project imaginable.
 
To quote Picard:
In the year in which we live, humans have discovered that energy and matter are interchangeable. In the holodeck, energy is converted to matter. Thus you have substance. But only here.
To quote Data:
DATA: Perhaps we should consider the transporter system. It uses many of the same principles as the holodeck. Both, for example, are capable of converting energy into matter.
It's odd that you quote Picard in isolation of his original context - IOW, that he was proving to Moriarty that matter created on the Holodeck could only exist on the Holodeck (he even throws a book out of the door to prove this). Later Trek series had a word for this special type of matter - holomatter (see Voyager ad nauseum for examples of this usage)

Your second quote (from Data) can easily be interpreted as an extrapolation of this (especially as he and Picard were dealing with highly unusual circumstances at the time)
 
The whole point of an experiment is to try and figure out what the results might be. In this case, there isn't much question about the results, it's a question of "Why do we need this, again?"

Granted, somebody in the Federation probably built something like this as a "proof of concept" design at least once. But it's not something that would ever really be USEFUL to them.

That's a mind-boggling statement. Why wouldn't it be useful? Just because Star Trek is set in the future doesn't mean that all of humanity's (or those of other sentient species') problems have simply been eradicated. Perhaps you forgot about the Genesis Project from Star Trek II? As Carol Marcus outlines it, the primary reasoning given in Scene 67 is as follows..

CAROL (on viewscreen): What exactly is Genesis? Well, put simply, Genesis is life from lifelessness. It is a process whereby molecular structure is reorganised at he subatomic level into life-generating matter of equal mass. Stage One of our experiments was conducted in the laboratory. Stage Two of the series will be attempted in a lifeless underground. Stage Three will involve the process on a planetary scale. It is our intention to introduce the Genesis device into the pre-selected area of a lifeless space body, such a moon or other dead form. The device is delivered, instantaneously causing what we call the Genesis Effect. Matter is reorganised with life-generating results. ...Instead of a dead moon, a living, breathing planet, capable of sustaining whatever lifeforms we see fit to deposit on it.
SPOCK: Fascinating!
CAROL: (on viewscreen) The reformed moon simulated here represents the merest fraction of the Genesis potential, should the Federation wish to fund these experiments to their logical conclusion. When we consider the cosmic problems of population and food supply, the usefulness of this process becomes clear. This concludes our proposal. Thank you for your attention.​

Dyson structures would definitely be of interest to the UFP, and I'm sure the Starfleet Corps of Engineers would be sincerely pursuing such technology if they already didn't possess such. If not for the power (which regardless of its source, is still power), simply for the room.
 
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My impression is you build a Dyson sphere when you are limited to sublight travel and you have an ever increasing population.
 
I still think building around a dead Star = White Dwarf Stars / Neutron Star / Pulsars is a much more feasible solution.
Granted your Dyson Sphere would be around the same Diameter / Volume of Earth give or take, but that's more than good enough and the energy from the White Dwarf Stars / Neutron Star / Pulsars should be more than good enough.
 
I wouldn't pretend to know all the details of building a Dyson sphere, but I think that even the best experts on this subject vastly underestimated the difficulty to achieve such a system. The human brain cannot even fathom the vast area that a sphere of radius 1 AU has. Even a 1 mm thick spherical shell would have a mass exceeding that of earth. There are structural problems, solar wind, radiation of all kinds, distributions systems. Even if the technology existed, the time to build it might be prohibitively long. I don't see how we are even in a position to judge whether the Federation could build one. We have to take Geordi's word for it that they can't do it.
 
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The only reason for building a Dyson Sphere is solar power. If you have dilithium and nearly unlimited power, the political and societal will to rearrange your solar system over thousands of years probably goes away. it's always a backburner idea for when those pink crystals run out, but the Trek galaxy has so many different cultures on the same technological advancement level that conflicts break out too much to allow for it.

ultimately the Dyson Sphere may be one of those ideas like the space elevator. Looks good, but when you weigh the benefits vs cost, it doesn't make much sense. I would like to see more O-Neil style colonies. Trek though has their populations mostly on planets. We didn't see a real space colony until Yorktown in Beyond and it was amazing, but its not impossible to imagine starfleet building massive structures like Earth Spacedock but filled with atmosphere and lots of nice living zones.

Bernal_Cutaway_AC76-1089_900.jpg
.
 
In the novel The Time Ships (sequel to H.G. Wells' original The Time Machine) a futuristic society construct a Dyson Sphere by drawing matter away from the sun over the course of many centuries. It certainly solves the problem of where to get all the materials from!

https://en.wikipedia.org/wiki/The_Time_Ships
 
The only reason for building a Dyson Sphere is solar power. .
That is not necessarily the only reason. Another reason is the vast "land" area that is available on the surface of the sphere. Our Earth is mostly water, with limited land area. As to "Why would the future human race feel the need to exist with a population of a trillion billion, rather than 10 or 100 billion?", that is beyond me. But, if they did desire it, the Dyson sphere could allow it.
 
That is not necessarily the only reason. Another reason is the vast "land" area that is available on the surface of the sphere. Our Earth is mostly water, with limited land area. As to "Why would the future human race feel the need to exist with a population of a trillion billion, rather than 10 or 100 billion?", that is beyond me. But, if they did desire it, the Dyson sphere could allow it.
O'Neil Cylinders would probably give the same amount of surface area but spread differently
 
With cheep antimatter production widespread fusion power,and stable populations, no need to build Dyson spheres for the major planets in the UPF.
 
I wouldn't pretend to know all the details of building a Dyson sphere, but I think that even the best experts on this subject vastly underestimated the difficulty to achieve such a system. The human brain cannot even fathom the vast area that a sphere of radius 1 AU has. Even a 1 mm thick spherical shell would have a mass exceeding that of earth. There are structural problems, solar wind, radiation of all kinds, distributions systems. Even if the technology existed, the time to build it might be prohibitively long. I don't see how we are even in a position to judge whether the Federation could build one. We have to take Geordi's word for it that they can't do it.
I agree, that's why I think the Federation should build Dyson Sphere's that are "Earth Size"-ish around "Dead Stars" that don't have anymore stages to evolve into. White Dwarf Stars / Neutron Star / Pulsars are all relatively small for a Star and give off more than enough power to kick-start / generate basic power for a 24th century Federation level series of colonies.
Any excess power needs can be taken care of by M/AM reactors or Artificial Quantum Singularity Reactors.
The lifetime of a dead star is still on the order of millions of years which is more than enough IMO.

A Dyson Sphere frame made of mostly Hexagons with Support Pentagons would work.
Each Hexagon would be it's own Arcology / Mini Island ~size of Los Angeles County and be of standardized size that is a large county size and be standard plug & play.
The needed 12 pentagon's that are distributed across the sphere would be large access hatches for service on the inside of the Dyson Sphere frame along with fixing the internal power collectors on said frame / scientific monitoring of said Dead Star.
https://math.stackexchange.com/questions/2368527/geodesic-dome-of-hexagons
 
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