Transponders A and Bare separated by a constant distance. Light pulses emitted from A toward B reflectback to A from B. The transponders measure and log these events of emission and absorption time events into the system data base when the events occur.

Equivalent times on A and B transponder clocks are entered on same level in the table when occurring.

A B Data Collected & recorded A _{0}B _{u}Unknown A _{0 +}B_{1}B _{u + }B_{1}Total known A _{2}B _{u +}A_{2}= x _{2 measured}A _{2}+ B_{1}B _{u +}A_{2}+ B_{1}= x _{2 measured}X _{2}- X_{1 }= B_{u +}A_{2}+ B_{1 – (}B_{u +}A_{2}) = B_{1}

A_{0}___________________________|B_{1}

----------- A_{2}|__________________|

1. The pulse leaves A at A_{0}when the Bclock time-of-day is unknown, B_{u.}

2. The pulse arrives at B at the clock time is B_{u}+ B_{1}where this total is known and recorded and when the A clock is A_{0+}B_{1}alsoan unknown total.

3. The pulse returns to A at A_{2}when the B clock is B_{u +}A_{2}

4. The pulse immediately is emitted and arrives atB at B_{u +}A_{2}+ B_{1}when the A clock is A_{2}+ B_{1}

The B clock in the 3rd and 4th rows hasrecorded the total amounts listed and subtracting X_{2}- X_{1}produces an unambiguous value B_{1}now used as the synchronous valueof the measurement.

The out bound leg= d_{1}= B_{1}– A_{0}and the inbound leg is d_{2}= A_{2}- B_{1}

d_{1}- d_{2}= 2B_{1}– (A_{2}- A_{0}). This difference of the twolegs is the distance of the round trip of light travels during the measured roundtrip time of the light pulse, which is related to the distance the A and Btransducers moved during the same time span. Therefore, Subtractingd_{1}- d_{2 =}D_{21}= VΔt_{n }where n_{ = 2,1.}

_{Theis }value is V(A_{2 }- A_{0}) 1,2=[2B_{1}– (A_{2}– A_{0})]

Thus V =[2B_{1}– (A_{2}– A_{0})]/ (A_{2 }- A_{0})

And for A_{0}= 0

V = 2B_{1}/ A_{2}– 1.

V is the absolute and measured velocity of the inertial frames A and B thatthe postulate of special relativity says is impossibility.

Now what do we do? This scheme used only four independent time event meaqsurements