Hi,
interesting sword.....although this is likely a 'Victorian' copy...or as suggested has symbolic qualities, there is a possibility that this could be 'authentic' (as a type of Rapier)
In Stone's 'A Glossary of ....Arms and Armour....' there is an example of Rapier that has a wavy blade stated as French, late 16th C (page 525).
A few thoughts....
Rapier develpment was 'meteoric' during a relatively short period of time.... development and evolution and it's demise. New ideas and modification seem to come and go very quickly....perhaps the Serpentine blade was one of them.
It is known that the Rapier was taken by the Portugese to India, bearing in mind that there were established trade routes between India with SEA it is likely that serpentine blades such as the Kris would have been known within India and later, the Europeans that colonised the area.
I also think that the wavy bladed Rapier would have a better 'cut' in the thrust (as with the kris) and possibly with 'slashing' cuts as well. Parrying an opponent's blade might also be easier and allow more control as the 'offensive' straight blade is partially trapped in the undulations of the blade.
I would imagine that if a wavy blade had the same 'reach' as a straight bladed' version it would be heavier. (ie if the wavy blade was 'pulled' straight it would be longer and therefore weigh more) Suggesting that if a serpentine blade was mounted ...the hilt/pommel would be heavier to balance the blade. It is a shame that we do not know the 'balance point' of this particular sword. If ceremonial, it is likely that a 'standard weighted' hilt would be fitted to the 'overweight' blade making it 'tip heavy'....making it totally unusable for a 'Rapier duel'.
Looking at the pictures ....there is a possibility that there is a later (?) repair.
There seems to be a metal plate that looks to be 'younger' than the rest of the hilt.....This plate is held by at least two screws....also noticeable are the gaps between hilt and blade
Regards David