Synthesized answer
According to the passages, Einstein’s theory of relativity “robbed time of its independence” [2], meaning time is no longer absolute but depends on the reference-body’s state of motion. This is shown by the Lorentz transformation, where the time difference between events can vary between reference frames [2]. A key implication is the relativity of simultaneity: events simultaneous for one observer (e.g., on an embankment) are not simultaneous for another (e.g., on a moving train) [4]. Thus, “every reference-body has its own particular time,” and without specifying the reference-body, a statement of time has no meaning [4].
The dissolution of absolute time is necessary for theories of space-time and gravitation because it resolves the conflict between the principle of relativity and the constant speed of light [3]. By discarding absolute time, the contradiction described in earlier sections disappears [3]. The passages explain that in classical mechanics, time was treated as an independent continuum, but relativity makes the four-dimensional “world” natural by linking time to space coordinates [2]. This non-absolute time is foundational to the structure of space-time and the…
Synthesized from the book passages below. Chat with the book on Feynman for follow-up.
From the book
For works with similar titles, see Relativity . ← Relativity: The Special and General Theory ( 1931 ) by Albert Einstein , illustrated by Hermann Struck , translated by Robert William Lawson THE SPECIAL THEORY OF RELATIVITY → related portals : Relativity An introduction to Einstein ’s space-bending, time-stretching Theory of Relativity , first published in December 1916. Special and General relativity explain the structure of space time and provide a theory of gravitation , respectively. Einstein’s theories shocked the world with their counterintuitive results, including the dissolution of…
of the theory of relativity, time played a different and more independent rôle, as compared with the space co-ordinates. It is for this reason that we have been in the habit of treating time as an independent continuum. As a matter of fact, according to classical mechanics, time is absolute, i.e. it is independent of the position and the condition of motion of the system of co-ordinates. We see this expressed in the last equation of the Galileian transformation ( t ′ = t ) {\displaystyle (t'=t)} . The four-dimensional mode of consideration of the “world” is natural on the theory of…
ement of time had an absolute significance, i.e. that it is independent of the state of motion of the body of reference. But we have just seen that this assumption is incompatible with the most natural definition of simultaneity; if we discard this assumption, then the conflict between the law of the propagation of light in vacuo and the principle of relativity (developed in Section VII ) disappears. We were led to that conflict by the considerations of Section VI , which are now no longer tenable. In that section we concluded that the man in the carriage, who traverses the distance w…
see the beam of light emitted from B {\displaystyle B} earlier than he will see that emitted from A {\displaystyle A} . Observers who take the railway train as their reference-body must therefore come to the conclusion that the lightning flash B {\displaystyle B} took place earlier than the lightning flash A {\displaystyle A} . We thus arrive at the important result: Events which are simultaneous with reference to the embankment are not simultaneous with respect to the train, and vice versa (relativity of simultaneity). Every reference-body (co-ordinate system) has its own particular time;…
Layout 2 ← The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity Relativity by Albert Einstein , illustrated by Hermann Struck , translated by Robert William Lawson On the Idea of Time in Physics The Relativity of Simultaneity → New York: Peter Smith, pages 25–29 4371911 Relativity — On the Idea of Time in Physics VIII ON THE IDEA OF TIME IN PHYSICS L IGHTNING has struck the rails on our railway embankment at two places A {\displaystyle A} and B {\displaystyle B} far distant from each other. I make the additional assertion that these two lightning…
More questions about this book
- If you were explaining Einstein's primary goal in writing "Relativity: The Special and General Theory" to someone unfamiliar with physics, what key aspects from the preface would you highlight to convey his intention and the target audience?
- Einstein mentions his decision to treat "the empirical physical foundations of the theory in a 'step-motherly' fashion." Explain the potential trade-offs and consequences of this authorial choice for a reader seeking "exact insight," contrasting it with a more traditional scientific explanation.
- The text briefly distinguishes Special and General relativity by their functions: "explain the structure of space time and provide a theory of gravitation, respectively." Based on this distinction, what different types of physical phenomena or questions do you infer each theory primarily addresses?
- Despite Einstein's efforts to present his ideas "in the simplest and most intelligible form" for the layperson, he still warns of inherent difficulties requiring "patience and force of will." What aspects of the *concepts themselves*, independent of mathematical complexity, might still pose such a challenge to understanding?