Twin A stays on Earth. Twin B travels to a star at v = 0.8c and returns. When they reunite, Twin B is younger. This is confirmed by atomic clock experiments on aircraft and by GPS satellites, which require relativistic corrections to function accurately.
The "paradox" arises from naive symmetry: if motion is relative, shouldn't each twin see the other's clock run slow? BFUT Paper 22 gives the complete physical account.
Propagation Budget Accounting
Twin A, at rest, commits zero of her propagation budget to spatial motion. Her entire budget η = 1.0 is available for internal substrate evolution - running her biological clocks, ageing, accumulating proper time at the full rate c.
Twin B, travelling at v = 0.8c, commits fraction v²/c² = 0.64 to spatial traversal. Her internal evolution rate is η = √(1 − 0.64) = 0.6. She ages at 60% of her twin's rate for the duration of travel.
Why It Is Not Symmetric
The situation is physically asymmetric because Twin B's worldline involves periods of acceleration - changes in propagation budget allocation - that Twin A's does not. Twin B changed her substrate propagation budget allocation multiple times. Twin A did not. The physical asymmetry is substrate propagation: B spent more of her total lifetime budget on spatial motion, leaving less for internal evolution. B is younger. No paradox - only accounting.
GPS Confirmation
GPS satellites move at approximately 3.9 km/s relative to Earth's surface and are at a higher gravitational potential. Both effects produce time dilation: kinematic (SR effect, clocks run slow due to motion) and gravitational (GR effect, clocks run fast due to reduced gravitational deformation). The net effect is approximately +38 microseconds per day - a measurable, predictable, and routinely corrected quantity. GPS accuracy depends on applying these corrections. The substrate propagation account gives the same correction as the standard relativistic calculation, because they describe the same physical mechanism.
Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/