Entropy completely reduced? Wrong (6)

I believe the answer is:

sinful

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'wrong' is the definition.
(thesaurus)

'entropy completely reduced?' is the wordplay.
'entropy' becomes 'sin' (I can't explain this - if you can you should believe this answer much more).
'completely' becomes 'full' (full could historically mean fully).
'reduced?' means to remove the last letter.
'full' with its last letter taken off is 'ful'.
'sin'+'ful'='SINFUL'

Can you help me to learn more?

(Other definitions for sinful that I've seen before include "Wicked, unholy" , "Fragrant climber" , "Bad" , "Immoral, evil" , "Offensive to God" .)

I've seen this clue in The Independent.

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