The term barrier (or growth barrier) has been used in astrophysics for issues that would seem to block some astrophysical process that is presumed to occur. The term is currently commonly used regarding planet formation (planet formation barriers), and has occasionally been used in other formation processes such as star formation and galaxy formation.
Planet formation is presumed to arise from the nebula/circumstellar disk surrounding a newly-formed star, the amalgamation of some of the disk's dust and gas, growing to the mass of a planet. For this to happen, at each intervening mass from that of dust grains to that of an entire planet, the constituent material must come together, stick together, not be broken apart by collisions, not erode away, not drift into the star or escape, and sufficient material must be available for the growth, i.e., sufficiently close. The barriers to this process go by different names, with some consistency of terminology, sometimes cited according to the general size of the object, and sometimes with terms reflecting the mechanism that would seem to prevent further growth. Terms regarding the size need to be taken as merely indications of the rough order-of-magnitude:
Such terminology-by-size isn't necessarily unanimous: meter size barrier could be taken to mean a problem growing much larger than a meter, but the term might be used for problems growing toward meter-size.
Some terms indicating the mechanism:
The term meter size barrier is often used to mean the fragmentation barrier and drift barrier. These four barriers generally apply to theories of rocky planet formation, and equally apply to rocky cores of gas planets for theories of gas planet formation in such manner, and to some extent, formation of ice cores, e.g., beyond the snow line. However, theories of formation of gas planets purely through the aggregation of gas have a different set of challenges.