The amount of time a cat has to remember its owner varies from person to person, but in general, cats are usually able to remember their owner for up to several years.
Cats' memory systems are different from those of humans, and they rely primarily on their sense of smell and hearing to recognize their surroundings and things. When cats develop a deep emotional connection with their owners, they associate their owners' scents and sounds with positive, safe, and comfortable emotions. This connection can persist in the cat's brain for a long time, allowing them to remember their owner.
However, a cat's memory ability can also be affected by some factors, such as age, health, living environment, and experiences, among others. Young cats are generally more likely to remember things than older cats, and those with a stronger emotional bond to their owners may be more likely to remember their owners.
In addition, some anecdotes also show that cats can remember their owners for a long time. For example, some cats are still able to recognize their previous owners after their owners move or divorce and show a strong emotional connection. There are also cats that are still able to recognize their owners after a long separation and show euphoria and closeness behavior.
In conclusion, the memory time of a cat to its owner varies from individual to individual, but it can usually last for several years.