Manuscript XIX-A@1 · XIX-A.tex · section · e30d8062

An explicit comparison prescription

The finite-time harmonic relational scalar › An explicit comparison prescription · lines 330–343

XIX-A@1#eq:W1, XIX-A@1#eq:W2

Expanding (eq:harmonic) gives

□_{η} W_{1}^{μ} □_{η} W_{2}^{μ} = - \partial_{α} A_{1}^{α μ}, = - \partial_{α} A_{2}^{α μ} - 2 \partial_{α} (A_{1}^{α β} \partial_{β} W_{1}^{μ}) .

Displayed formulas in this passage

XIX-A@1#eq:W1 · line 333
$□_{η} W_{1}^{μ} □_{η} W_{2}^{μ} = - \partial_{α} A_{1}^{α μ}, = - \partial_{α} A_{2}^{α μ} - 2 \partial_{α} (A_{1}^{α β} \partial_{β} W_{1}^{μ}) .$
XIX-A@1#eq:W2 · line 333
$□_{η} W_{1}^{μ} □_{η} W_{2}^{μ} = - \partial_{α} A_{1}^{α μ}, = - \partial_{α} A_{2}^{α μ} - 2 \partial_{α} (A_{1}^{α β} \partial_{β} W_{1}^{μ}) .$