Simple Clue to Einstein's Twin Paradox

The solution to Einstein's twin paradox is hidden in this text:

http://www.amazon.com/Relativity-Its.../dp/0486406768
Banesh Hoffmann, Relativity and Its Roots, p. 105: "In one case your clock is checked against two of mine, while in the other case my clock is checked against two of yours, and this permits us each to find without contradiction that the other's clocks go more slowly than his own."

Implication: According to special relativity, an observer whose reference frame is considered point-like can measure no time dilation. Only an observer whose reference frame is considered spatially extended (so that distances between clocks are defined) can measure time dilation.

In the traditional twin paradox scenario the traveling twin's system is regarded as point-like while the stationary twin's system is spatially extended. Accordingly, only the youthfulness of the traveling twin can be deduced. The youthfulness of the stationary twin can only be deduced in a complementary scenario (the second below) where it is the traveling twin's system that is spatially extended:

A train is at rest and a clock is moving to and fro between two (stationary) clocks situated at the front and back ends of the train. This is the traditional relativistic scenario - special relativity predicts that the moving clock runs slower than (lags behind) the two stationary clocks on the train.

In a complementary scenario, the single clock is on the ground, at rest, but the train is moving to and fro so that the stationary clock on the ground effectively commutes between the front and back ends of the train. Now special relativity predicts that the single stationary clock on the ground runs slower than (lags behind) the two clocks on the moving train.

Clearly, the twin paradox is actually an absurdity, as are all consequences of Einstein's 1905 false constant-speed-of-light postulate.

Pentcho Valev