“The basic theory in twistor theory is not to add extra dimensions.” TheoryAddExtrasDimensions Author:Roger Penrose
“Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.” WellsHas BeensIdeasForceUnderstandingTheoryFundamentalsMathematicalThese DaysDependentGaugesPhysical Force Author:Roger Penrose
“As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on.” WayShouldCertainTheoryBehaveExtrasDimensionsStringsConsistencyRequirementsString Theory Author:Roger Penrose