Einstein and the universe: A popular exposition of the famous theory — Context and Discussion

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Nordmann, Charles, 1881-1940, Haldane, R. B. Haldane (Richard Burdon Haldane), Viscount, 1856-1928 [Author of introduction, etc.], McCabe, Joseph, 1867-1955 [Translator] Project Gutenberg 2022 Not confirmed
Relativity (Physics); Gravitation; Einstein, Albert, 1879-1955 Readers of public-domain and historical texts
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Words 53,749
Reading time 234 min
Text sections 14

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This 1922 popular exposition by astronomer Charles Nordmann explains Einstein's theories of special and general relativity without mathematics, using vivid analogies and a French lucidity praised by Viscount Haldane's preface.
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imperceptible to us; and this seems to show that man cannot conceive an absolute time. If some malicious spirit were to amuse itself some night by making all the phenomena of the universe a thousand times slower, we should not, when we awake, have any means of detecting the change. The world would seem to us unchanged. Yet every hour recorded by our watches would be a thousand times longer than hours had previously been. Men would live a thousand times as long, yet they would be unaware of the fact, as their sensations would be slower in the same proportion.

When Lamartine appealed to time to “suspend its flight,” he said a very charming, but perhaps meaningless, thing. If time had obeyed his passionate appeal, neither Lamartine nor Elvire would have known and rejoiced over the fact. The boatman who conducted the lovers on the Lac du Bourget would not have asked payment for a single additional hour; yet he would have dipped his oars into the pleasant waters for a far longer time.

I venture to sum up all this in a sentence which will at first sight seem a paradox: in the opinion of the Relativists it is the measuring rods which create space, the clocks which create time. All this was maintained by Poincaré and others long before the time of Einstein, and one does injustice to truth in ascribing the discovery to him. I am quite aware that one lends only to the rich, but one does an injustice to the wealthy themselves in attributing to them what does not belong to them, and what they need not in order to be rich.

There is, moreover, one point at which Galileo and Newton, for all their belief in the existence of absolute space and time, admitted a certain relativity. They recognised that it is impossible to distinguish between uniform movements of translation. They thus admitted the equivalence of all such movements, and therefore the impossibility of proving an absolute movement of translation.

That is what is called the Principle of Classic Relativity.

An unexpected fact served to bring these questions upon a new plane, and led Einstein to give a remarkable extension to the Principle of Relativity of classic mechanics. This was the issue of a famous experiment by Michelson, of which we must give a brief description.

It is well known that rays of light travel across empty space from star to star, otherwise we should be unable to see the stars. From this physicists long ago concluded that the rays travelled in a medium that is devoid of mass and inertia, is infinitely elastic, and offers no resistance to the movement of material bodies, into which it penetrates. This medium has been named ether. Light travels through it as waves spread over the surface of water at a speed of something like 186,000 miles a second: a velocity which we will express by the letter =V=.

The earth revolves round the sun in a veritable ocean of ether, at a speed of about 18 miles a second. In this respect the rotation of the earth on its axis need not be noticed, as it pushes the surface of the globe through the ether at a speed of less than two miles a second. Now the question had often been asked: Does the earth, in its orbital movement round the sun, take with it the ether which is in contact with it, as a sponge thrown out of a window takes with it the water which it has absorbed? Experiment—or rather, experiments, for many have been tried with the same result—has shown that the question must be answered in the negative.

This was first established by astronomical observation. There is in astronomy a well-known phenomenon discovered by Bradley which is called aberration. It consists in this: when we observe a star with a telescope, the image of the star is not precisely in the direct line of vision. The reason is that, while the luminous rays of the star which have entered the telescope are passing down the length of the tube, the instrument has been slightly displaced, as it shares the movement of the earth. On the other hand, the luminous ray in the tube does not share the earth’s motion, and this gives rise to the very slight deviation which we call aberration. This proves that the medium in which light travels, the ether which fills the instrument and surrounds the earth, does not share the earth’s motion.

Many other experiments have settled beyond question that the ether, which is the vehicle of the waves of light, is not borne along by the earth as it travels. Now, since the earth moves through the ether as a ship moves over a stationary

Charles Nordmann, an astronomer at the Paris Observatory, sets out in this 1922 work to explain Einstein's theories without a single mathematical formula. The preface by Viscount Haldane immediately signals a distinctive approach: Haldane argues that ordinary language, carefully used, can do some of the work of mathematical symbolism, and he praises the French gift for lucid expression. Nordmann's own voice, as seen in Chapter V, is direct and metaphor-rich—he calls gravitation a 'steep-cliffed island in the sea of phenomena' that Einstein annexed to his mechanics. The book is structured to move from special to general relativity, with each chapter building on the last.

Haldane's Preface as a Reading Lens

Viscount Haldane's preface is more than a commendation; it frames the entire exposition. He notes that mathematical methods offer precision but risk taking symbols as 'exhaustively descriptive of reality,' a tendency that ordinary language can correct. This sets up Nordmann's task: to translate abstract physics into French clarity. Haldane also remarks that neither English nor German writers have fully succeeded in this, implying that Nordmann's Latin heritage gives him an advantage. As you read, watch how Nordmann balances technical accuracy with metaphor—for instance, calling the principle of inertia 'nearly true' and illustrating it with a fly-wheel. The preface thus primes you to expect a work that values verbal precision over symbolic shorthand.

The Island of Gravitation

In Chapter V, Nordmann describes special relativity as passing by gravitation 'taking no notice of it,' leaving it a 'steep-cliffed island.' This image recurs: gravitation is isolated, unrelated to the rest of physics. Nordmann then explains how Einstein drew it from 'splendid isolation' and annexed it to his mechanics. The language is martial—'docile and vanquished'—and the chapter title promises to reveal how light from stars is weighed. Notice the structure: Nordmann first states the problem (gravitation as an anomaly), then the solution (general relativity), and finally the method (avoiding 'barbed wire of mathematical terminology'). This pattern of problem-solution-method appears throughout the book, guiding the reader through complex ideas.

Analogies from Everyday Experience

Nordmann grounds abstract concepts in concrete examples. To explain the principle of inertia, he describes a steam-engine's fly-wheel: 'When the engine experiences a sudden and sharp check, or an acceleration, the fly-wheel serves to keep it steady.' This is not a mere illustration; it is an argument that the principle is 'based upon experience.' Similarly, he invokes Jules Verne's projectile to discuss accelerated movement and gravitation. These analogies are not decorative—they are the core of his explanatory method. As you read, note how each analogy is introduced, developed, and then linked to the mathematical idea it represents. The fly-wheel example, for instance, leads directly to the statement that inertia is 'nearly true,' a crucial nuance for relativity.

The Rhythm of Synthesis

Nordmann repeatedly emphasizes synthesis: Einstein's mechanics reveals 'more unity, more harmony, more beauty' in the universe. This is not mere rhetoric; it is a structural principle. Each chapter shows how previously separate phenomena—mechanics and optics, special relativity and gravitation—are brought under one law. The book itself mirrors this synthesis, moving from the particular (the Michelson-Morley experiment, implied in earlier chapters) to the general (the curvature of light by gravity). Pay attention to transitional phrases like 'we are now on the threshold' and 'it is thus that Einstein crowned his work.' They signal the cumulative nature of the argument. Nordmann's goal is not just to inform but to make the reader feel the elegance of the theory.

Nordmann's exposition rewards a reader who attends to his metaphors and analogies as carefully as to his scientific claims. The preface by Haldane offers a key: ordinary language can convey deep truths if used with precision. As you proceed, note how each chapter builds on the last, and how Nordmann returns to the image of gravitation as an island until it is finally annexed. This is a book that teaches not only relativity but a method of thinking about complex ideas without symbols.

Reading Nordmann’s analogies, I remembered my father’s old armchair, where I first grappled with curved light. That same hush returned years later, holding Relativity: The Special and General Theory — Inside the Classic, its patient sentences unfolding like a familiar path. Both felt less like explanations, more like permission to sit quietly with wonder, letting time soften around the page.

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