Final answer:
The transport of passengers in single engine aeroplanes for air taxi operations is regulated, and while there is no absolute ban on such operations over mountainous regions, they must comply with various rules, including pilot qualifications and aircraft separation minimums, similar to electron restrictions in quantum mechanics.
Step-by-step explanation:
Transport of passengers in single engine aeroplanes in an air taxi operation is a specific aspect of aviation operations regulated by aviation authorities, such as the Federal Aviation Administration (FAA). The rules for such operations are intended to ensure safety and manage risks, especially when flying in challenging environments like designated mountainous regions. While national or regional regulations can vary and should be consulted for specific operations, as a general rule, there is no blanket restriction that always prohibits the transport of passengers in single engine aeroplanes in air taxi operations over mountainous regions or under any specific conditions, such as day VFR (Visual Flight Rules) flight only.
Each aircraft must follow air traffic control regulations, maintaining a minimum distance for safety - five miles apart when at the same altitude and 2,000 feet vertically above or below another aircraft, except when below 29,000 feet where the minimum vertical separation decreases to 1,000 feet. This concept of regulated spacing for safety can draw a parallel to quantum mechanics, where electrons have restrictions on their possible locations around an atom.
Pilots must be properly certified and meet specific requirements, such as single pilot IFR (Instrument Flight Rules) operations qualifications, if applicable.