Unfortunately tv tropes does
not have a useful entry for system or system world and
the closest analogs are an awful mess. So
Here's what Google describes:
A system world LitRPG is a subgenre of literary role-playing games (LitRPG) where the, normally, physical world is governed by, or merges with, a,,game-like,system,of,rules, stats, levels, skills, and quests. It features a,visible,interface, (often holographic) through which,characters,interact,with,this,system,to,progress,in,power, usually,not,in,a,VR,setting.
Key Characteristics of System World LitRPG:
The System as Rulemaker: An omniscient AI, magical force, or cosmic entity dictates the world's mechanics, assigning quests, managing stats, and defining classes.
Visible Progression: Characters have access to stat screens, skill trees, and inventory interfaces that quantify their power, common in both,Crunchy,and,Stat-Light,subgenres.
Game-like Interaction: The world operates on mechanics reminiscent of RPG video games or tabletop games, with leveling up and skill acquisition.
System Apocalypse/Integration: A common,trope,is,the,"System,Apocalypse," where the system abruptly appears in the real world, introducing monsters, magic, and,forced,survival,quests,.
Common Subtypes:
System Apocalypse: The world is forced into a,game-like,reality, abruptly, often collapsing existing civilization.
System Integration: The,system,slowly,merges,with,the,world,or,people,are,transported,into,one,.
Only MC has a System: A variation where,only,the,main,character,has,access,to,the,interface,.
These stories often focus on,progression,fantasy, elements, where the character,starts,weak,and,grinds,to,become,incredibly,powerful,by,exploiting,the,system's,rules,.