Definitions for scallop theorem
scal·lop the·o·rem

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1. scallop theoremnoun

   A theorem which states that to achieve propulsion at low Reynolds number in simple (i.e. Newtonian) fluids, a swimmer must deform in a way that is not invariant under time-reversal.

2. Etymology: From an explanation of a principle of fluid dynamics given by E. M. Purcell

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1. Scallop theorem

   In physics, the scallop theorem states that a swimmer that exhibits time-symmetric motion cannot achieve net displacement in a low-Reynolds number Newtonian fluid environment, i.e. a fluid that is highly viscous. Such a swimmer deforms its body into a particular shape through a sequence of motions and then reverts to the original shape by going through the sequence in reverse. This is known as reciprocal motion and is invariant under time-reversal. Edward Mills Purcell stated this theorem in his 1977 paper Life at Low Reynolds Number explaining physical principles of aquatic locomotion. The theorem is named for the motion of a scallop which opens and closes a simple hinge during one period. Such motion is not sufficient to create migration at low Reynolds numbers. The scallop is an example of a body with one degree of freedom to use for motion. Bodies with a single degree of freedom deform in a reciprocal manner and subsequently, bodies with one degree of freedom do not achieve locomotion in a highly viscous environment.

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1. Scallop theorem

   The Scallop theorem states that to achieve propulsion at low Reynolds number in Newtonian fluids a swimmer must deform in a way that is not invariant under time-reversal. Edward Mills Purcell stated this theorem in his 1977 paper Life at Low Reynolds Number explaining physical principles of aquatic locomotion. The theorem is named for the scallop, the only bivalve able to actively swim distances. However, its technique is not applicable to viscous fluids, thus the name of the theorem. Although the movement of animal cells is usually studied as they migrate, it seems likely that many motile cells can also swim. Thus, human granulocytes are able to migrate towards a source of a chemoattractant, the tripeptide FMLP, whilst suspended in a uniformly-dense medium. They swim at the same speed as they would crawl on a solid surface. Likewise, Dictyostelium discoideum amoebae swim towards a chemical attractant, in this case cyclic AMP. The actual mechanism that these neutrophils or amoebae use to produce a thrust against the medium to propel themselves is uncertain; however, how they do so must be consistent with physical principles. To swim they must transmit a force against the viscous fluid in order to propel themselves forward. Different mechanisms by which they might do so were presented by Ed Purcell in a famous talk he gave celebrating the 80th birthday of his friend Viki Weisskopf.

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Numerology

1. Chaldean Numerology

   The numerical value of scallop theorem in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of scallop theorem in Pythagorean Numerology is: 9

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Scallop_Theorem
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Scallop_Theorem
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=scallop theorem