Quoted:
There is no [i]theoretical[/i] limit to how big one of those can be, but there probably are physical ones.
View Quote
There is a theoretical limit on how large a fusion bomb can be, however it is of no consequence to humans.
Stars are simply large fusion reactions. There is enough fusible material in stars that they undergo constant reaction for millions-billions of years. Gravity keeps the material together and under pressure, and therefore the reaction continues until mass has been depleted enough to end the reaction.
Heavy stars burn faster, hotter and brighter, because their gravity is so much greater. Light stars (like the sun) burn cooler, longer and more stable.
Stars with a mass of 10 - 15 suns burn fast, and explode as a supernova. Stars 15-50 times heavier than the sun burn extremely fast and are destined to collapse under their own weight into a black hole. It is doubtful that stars can even form if their initial mass is over 100 times that of the sun.
So I guess the theoretical limit for the mass of a H bomb would be around 50 suns and up.
In very large stars, Even the Helium by product fuses into Beryllium and Oxygen until the star doesn't have enough mass to fuse anymore.