"In the study of electricity and magnetism we may consider phenomena in which conditions do not vary as time passes by; the electric charges and the magnets remain at rest, and the currents flowing in fixed wires do not vary in intensity. Conditions are then termed stationary [static]; it is as though time played no part. The laws which govern this type of phenomena were discovered empirically over a century ago, and were expressed mathematically in terms of spatial vectors. The problem of ascertaining how electric and magnetic phenomena would behave when conditions ceased to be stationary was one that could not be predicted; further experimental research was necessary before the general laws could be obtained. Even so, the difficulties were considerable, and it needed Maxwell's genius to establish the laws from the incomplete array of experimental evidence then at hand. All this work extended over nearly a century; it was slow and laborious. Yet, had men realised that our world was one of four-dimensional Minkowskian space-time, and not one of separate space and time, things would have been different. By extending the well-known stationary laws to four-dimensional space-time, through the mere addition of time components to the various trios of space ones, we should have written out inadvertently the laws governing varying fields, or, in other words, we should have constructed Maxwell's celebrated equations. Electromagnetic induction, discovered experimentally by Faraday, the additional electrical term introduced tentatively by Maxwell, radio waves, everything in the electromagnetics of the field, could have been foreseen at one stroke of the pen. A century of painstaking effort could have been saved. We are assuming that a four-dimensional vector calculus would have been in existence; but this is purely a mathematical question."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
pp. 319-320
https://en.wikiquote.org/wiki/Spacetime
Revision History
No revisions have been submitted for this quote.
Categories
Spacetime
68 quotes on TrueQuotesView all quotes by Spacetime →
Related Quotes
"Unfortunately, scientists adore the Minkowski theory because, secretly they detest the 3+1 formula as not entirely ob…"
"General relativity (GR) is a geometric theory of gravitation: a gravitational field is simply curved spacetime. The g…"
"In GR, the mass/energy source determines the metric function through the field equation. ...In this approach, gravity…"
"We may conceive our space to have everywhere a nearly uniform curvature, but that slight variations of the curvature …"
"Every artist's strictly illimitable country is himself. An artist who plays that country false has committed suicide;…"
"Mathematicians call the infinite curvature limit of spacetime a singularity. In this picture, then, the big bang emer…"
"The discovery of Minkowski... is to be found... in the fact of his recognition that the four-dimensional space-time c…"
"Every physical description resolves itself into a number of statements, each of which refers to the space-time coinci…"
"The use of rigid reference-bodies, in the sense of the method followed in the special theory of relativity, is in gen…"
"Bolder even than Riemann, Clifford confessed his belief (1870) that matter is only a manifestation of curvature in a …"