Tensor Quotes (3 quotes)
In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.
Epigraph in Charles W. Misner, Kip S. Thorn and John Archibald Wheeler, Gravitation (1970, 1973), 47. Cited as “(1925),” with no source.
Maxwell's equations… originally consisted of eight equations. These equations are not “beautiful.” They do not possess much symmetry. In their original form, they are ugly. …However, when rewritten using time as the fourth dimension, this rather awkward set of eight equations collapses into a single tensor equation. This is what a physicist calls “beauty.”
In 'Quantum Heresy', Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension (1995), 130. Note: For two “beauty” criteria, unifying symmetry and economy of expression, see quote on this page beginning “When physicists…”
Ultra-modern physicists [are tempted to believe] that Nature in all her infinite variety needs nothing but mathematical clothing [and are] strangely reluctant to contemplate Nature unclad. Clothing she must have. At the least she must wear a matrix, with here and there a tensor to hold the queer garment together.
As quoted by Stephen T. Keith and Pierre Quédec, in 'Magnetism and Magnetic Materials', an article collected in Out of the Crystal Maze: Chapters from The History of Solid State Physics (1992), 361.