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The process of determining the time difference in PostgreSQL using JSON data involves several steps:

1. Retrieve the JSON data containing the two timestamps that need to be compared.

2. Parse the JSON data using the appropriate function in PostgreSQL. For example, the jsonbtorecord function can be used to convert a JSON object into a database record.

3. Extract the timestamp values from the parsed JSON data. Depending on the structure of the JSON data, this may involve using functions such as jsonextractpath or jsonbextractpath_text.

4. Convert the timestamp values to the appropriate data type for time calculations. In PostgreSQL, timestamps can be converted to time intervals using the AGE() function or the subtract operator (-).

5. Perform the time difference calculation to determine the duration between the two timestamps.

6. Format the result as needed for display or further processing. This may involve converting the time interval back to a timestamp or formatting the duration as hours and minutes.

The exact steps and functions used will depend on the specific requirements and structure of the JSON data.