Manuscript XIX-C@1 · XIX-C.tex · section · 98b067d9

The matter-defined clock requires additional data

Parameter, code, deformation rate, and lapse › The matter-defined clock requires additional data · lines 635–651

XIX-C@1#eq:lapse

For a Lorentzian metric $q$ and a scalar $T$ with timelike nonzero gradient, the raw clock lapse is

N [q, T] = (- q^{- 1} (d T, d T))^{- 1/2} .

A relational lapse additionally requires a specified relational map $α_{q, T}$ , including spatial rods and clock calibration:

N [q, T] = N [q, T] \circ α_{q, T} .

This is the classical type of object compared in Em02-E CheungEm02E. Its quantum gauge identity is not used.

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