IANA aero engineer, but I know a bit about it.
Completely ignoring economics and infrastructure compatibility, and just considering the air machine in isolation …
The thing which tore the big dirigibles apart, and the reason we don’t have any now, is that the atmosphere is turbulent, at least in spots. Once the craft gets big enough, you get to the point where the bumps at the front are going one way & the bumps at the rear are going another way. The vehicle needs to be strong enough to withstand that.
Consider a hypothetical 500’ vehicle (airplane or dirigible). Any force appled at nose or tail has a 250 foot lever arm to work with when trying to break the vehicle in half at the midpoint. That’s a lot of leverage.
So it has to be strong. Real strong.
The other challenge is stiffness. An airplane (though not a dirigible), flies because of its shape. If you distort the shape much, it quits flying. So the wings may be able to flex up & down some, but they can’t flex fore and aft much at all, nor twist when they flex. Any twisting is likely to lead to flutter, which is disasterous. Likewise, a fuselage which twisted or flexed much would be altering how the tail plane was oriented to the airstream, leading to control problems. That would be bad.
So it needs to be stiff. Real stiff.
But it also need to be light. Wings still rely on air to hold them up. As long as the atmosphere is the same (i.e. we’re not on Venus where the “air” is much thicker), there’s a hard physics limit to how much lift a square foot of wing can produce.
So overall, the machine needs to be light, stiff, and strong. Those are opposing goals and so a compromise must be made. This is where the engineers earn their pizza.
The evolution of aircraft follows two upward curves over time. The curve of better materials and the curve of better aerodynamics.
The biggest practical wood aircraft was limited by the charateristics of wood. Arguably, the Hughes H4 was beyond that point of practicality. It never got out of ground effect and therefore never really flew by an honest definition of the word. Even if the H4 could have flown, the limitations of wood wouldn’t have permitted something much bigger than it was.
The biggest practical aluminum airplane is limited by the characteristics of aluminum. We have not built the largest possible aluminum airplane, but we’re not that far away. 50% bigger than the AN-225 is plausible. 300% that size is not.
The industry is just now exploring all- or nearly all-composite aircraft. Those materials offer better strength / stiffness / weight values than aluminum. Something 300% the size of an AN-225 sounds plausible, although again I’m not actually an expert nor am I doing the calcs just now to prove it’s possible.
All the above assumes a more or less typical tube-and-wing design. The other way to grow aircraft is with novel designs with better aerodynamics or better structural efficiency. Or both.
The “span loader” is a design whch is essentially all wing with no fuselage. You can readily see that design eliminates the huge stress concentration where the wings join the fuselage. In a typical tube-and-wing design, right there the two long outstretched wings are pulling up & the two long outstretched fuselage ends are pulling down. A lot of stress happens right there. Eliminating that concentration allows for a bigger lighter design with the same materials.
As others have said, with fancy computer-controlled flight controls it becomes at least theoretically possible to design a very wide segmented aircraft where each segment is flying more or less independently and they’re all trying to stay in (very!) close formation. Gust alleviation is still a big problem with these designs They whole thing can only flex so far before it breaks. And the bigger it is, the greater the odds of encountering really different conditions at one end than the other.
Up at very high altitude (75K - 100K ft) there is essentially no wind and therefore no turbulence. *If *you can get from the ground up to there safely, *then *you could safely operate a vehicle with very poor turbulence-tolerance. Things like the Aerovironment machines mentioned above fall into that category. If you only land & take off once every couple months or so, you can afford to wait a day or so if today is windy or stormy. For a machine which lands every few hours, that’s not practical.
So over the next 5-15 years we’ll see some very long wingspan but very light & flimsy aircraft for long duration missions. They will be much bigger than current aircraft in wingspan, but smaller in almost every other measure. And almost certainly much slower as well.