Re: The Nature of Physical Reality - Analyzing the Properties of Space-time

[As the relativists are not in their usual agitated state in this
thread, perhaps that means agreement and we shall proceed with the
next stage.]

III. NEW TERMINOLOGY - THE LORENTZ TRANSFORMATION EQUATIONS

Let

Xa : native co-inertial measurement of distance
Ta : native co-inertial measurement of time interval
Xa': native trans-inertial measurement of distance
Ta': native trans-inertial measurement of time interval

Xb : foreign co-inertial measurement of distance
Tb : foreign trans-inertial measurement of time interval
Xb': foreign co-inertial measurement of distance
Tb': foreign trans-inertial measurement of time interval

Assuming motion along the X-axis and measurements are made from the
origin, and gamma = (1-v^2/c^2)^(-1/2), then we have the following
standard LTE:

Xb' = Xa / gamma
Tb' = Ta * gamma

Xa' = Xb / gamma
Ta' = Tb * gamma

For example, the native observer measures his finger as Xa and his
neural time as Ta. The foreign observer, seeing the native observer
moving with velocity v, observes the native finger is contracted and
measures Xb' and observes the native neural time is dilated and
measures Tb'. This is shown by the first LTE above. Note that we
subscript the measurements according to who makes it, rather than
where it is. [The measurer, according to physics, determines the
reality, and is of more importance than the measuree.]

For the specific example wherein v=0.995c (gamma=10) and native finger
Xa=10cm, native neural time Ta=10Lm

foreign measurement of native finger is: Xb'=Xa/gamma=10cm/10=1cm
foreign measurement of native neural time is:
Tb'=Ta*gamma=10LM*10=100Lm
.

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