The string equation gives us: T = m * (f *2L)^2
Hence, tension increases when mass increases.
Whether mass increases, is equal or even is less when changing to another gauge/diameter of the string is a matter of how it is constructed. With more and thinner wire wound on the core, the mass will be higher than on that of a string using larger diameter wire. The thicker wire will make for bigger voids in the coil. A string wound of only flat "wire" will contain very few voids, hance have higher mass.
Again, the laws of physics prevail, while theories fluffs. Newton still stands, and Hawking still sits.
Hence, tension increases when mass increases.
Whether mass increases, is equal or even is less when changing to another gauge/diameter of the string is a matter of how it is constructed. With more and thinner wire wound on the core, the mass will be higher than on that of a string using larger diameter wire. The thicker wire will make for bigger voids in the coil. A string wound of only flat "wire" will contain very few voids, hance have higher mass.
Again, the laws of physics prevail, while theories fluffs. Newton still stands, and Hawking still sits.