Light Floor

Floors by City

How fast can a signal go from Delhi to Rio de Janeiro?

No faster than 47.01 ms one way and 94.01 ms there and back. That is light in a vacuum along the 14,092 km great circle between the two cities. Optical fibre slows light by its group index, 1.4682, so through glass the same round trip takes at least 138.03 ms.

The great circle from Delhi (28.62° N, 77.22° E) to Rio de Janeiro (22.85° S, 43.37° W). Equal Earth projection; land from Natural Earth.
Floors from Delhi to Rio de Janeiro
MediumOne wayRound trip
Light in a vacuum47.01 ms94.01 ms
Light in glass, group index 1.468269.02 ms138.03 ms
Great-circle distance, WGS8414,092 km

What does a real line add?

Cables leave the great circle, and every router and queue on the way adds time, so a measured round trip from Delhi to Rio de Janeiro lands above 138.03 ms whenever the whole path is glass. A line that only just reaches 138.03 ms runs at 68.1 % of light, the most fibre allows.

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How are these floors computed?

The distance is Lambert's formula on the WGS84 ellipsoid between the population-weighted centres UN DESA gives for the two cities in World Urbanization Prospects 2025, checked against GeographicLib to within 100 m on ten pairs. Light covers 299,792.458 km each second. The glass figure uses Corning's group index for SMF-28e+ fibre at 1550 nm, 1.4682.