Calls will go via fibre-optic cables.
For several decades now, they’ve been transmitted all-digitally, so there won’t be any quality degradation.
Earth radius is 6378km. Halfway around the earth’s surface is pi*r, so 20,000 km
Speed of light in air is 3×10^(8) m/s, or 300,000 km/s, but in fibre optic is about 2/3 the speed of light in air/vacuum, so around 200,000 km/s.
Therefore it’ll take the light one tenth of a second to go halfway around the world.
The perceived delay is the round-trip time, so two-tenths of a second (1/5th second). This is the fastest it could possibly be. In reality the route will not be the shortest possible, and there might be a few other routing delays along the way.
This delay is fairly imperceptible, and probably shorter than coding/decoding delays that you get in any mobile call, even between two people standing next to each other.
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