SosheiscurioustolearnmoreabouttheNobelLaureateswhodiscovered a newsetofregularitiesinthewaymatterBehavesTestlearnsthatDavidHollis, DuncanHaldaneandMichaelCostalIt's madenewdiscoveriesinphysics, usingconceptsfoundin a branchofmathematicscalledtopology.
Topologydescribespropertiesthatairpreservedunderdeformationandmanipulationsintopology, anintegernumbercalledatop a Logicalinvariantcanbeassignedtoallobjectsthatsharethesameproperties.
Oneexampleof a top.
A logicalinvariantisthenumberofholes.
Anobjecthasanorange, A balland a muffin.
Allhavezeroholes, sotheycanallbeassignedthetop, a logicalinvariantandequalzero.
Incontrast, Ah, coffeecupand a bageleachhaveoneholeandcanbeassignedthetop.
A logicalinvariant n equalsone.
Objectscan't transformfromonetopologyclasstoanotherunless a significantforceisappliedtothem, likecuttingblueingortellingthemtheirtop a logicalpropertiesairprotectedagainstsmallchanges.
Thisexperimentshowedthatinverythinlayersandinthepresenceofhighmagneticfields, electronsbehaveinsuch a waythattheconductinstthroughthesystemisrobustagainstdisorder, andcanOnleychangeinstepsasthemagneticfieldisincreased.
AllDanepredictedthat a similareffectwaspossiblewithouthaving a magneticfieldbeforescientistsbelievephasetransitionscouldnotoccurinextremelythinlayersofmatter, however, costherlips, andSolisfoundthatitwaspossibleforvorticestoappearinsometwo D materialsbecauseoftheirtop a logicalnature.