The term "period existence" can be substituted with several synonyms to convey the same meaning. Some of the potential synonyms include duration, time frame, lifetime, span, era, epoch, age, and interval. These words can be used interchangeably to describe a certain period or duration in someone's life or throughout a historical timeline. For instance, the duration of a company's operation can be referred to as its lifespan, while a particular time period in history can be described as an era. The choice of synonym depends on the context in which the term is used. By utilizing the various synonyms available, writers can add diversity and clarity to their texts.