local invariance

local invariance

[′lō·kəl in′ver·ē·əns]
(physics)
The property of physical laws which remain unchanged under a specified set of symmetry transformations even when these transformations are chosen independently at every point of space and time.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Local invariance assumption which encourages neighboring data pairs in the original space to be still close in the low-dimensional embedding subspace can be formulated as
Local invariance assumption essentially exploits the favorite relationship among similar data samples under unsupervised condition; however, it ignores unfavorite relationship between divergent data pairs.
That would support rather a Galileian addition theorem of velocities than the local invariance of light speed.
That means a coincidence within a tolerance of [+ or -] 20%.--Thus, we have to take this result as negative regarding a verification of a violation of local invariance of c.
The presence of derivatives [[Delta].sub.[Mu]][Psi] in the Lagrangian spoils the local invariance, but it can be restored by 'correcting' the derivative with a correction term that specifies what is to count as 'the same phase' at different spacetime locations.

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