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William Duncan MacMillan

William Duncan MacMillan is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand William Duncan MacMillan rather than just read about it. In short: William Duncan MacMillan (July 24, 1871 – November 14, 1948) was an American mathematician and astronomer on the faculty of the University of Chicago. He published research on the applications of classical mechanics to astronomy, and is noted for pioneering speculations on physical cosmology.

William Duncan MacMillan — main illustration
William Duncan MacMillan — illustration

Key takeaways

  • William Duncan MacMillan belongs to astronomy; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect William Duncan MacMillan to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of William Duncan MacMillan from memory before moving on to harder problems.

Reference excerpt

William Duncan MacMillan (July 24, 1871 – November 14, 1948) was an American mathematician and astronomer on the faculty of the University of Chicago. He published research on the applications of classical mechanics to astronomy, and is noted for pioneering speculations on physical cosmology. For the latter, Helge Kragh noted, "the cosmological model proposed by MacMillan was designed to lend support to a cosmic optimism, which he felt was threatened by the world view of modern physics."

Biography He was born in La Crosse, Wisconsin, to D. D. MacMillan, who was in the lumber business, and Mary Jane McCrea. His brother, John H. MacMillan, headed the Cargill Corporation from 1909 to 1936. MacMillan graduated from La Crosse High School in 1888. In 1889, he attended Lake Forest College, then entered the University of Virginia. Later in 1898, he earned an A.B. degree from Fort Worth University, which was then a Methodist university in Texas. He performed his graduate work at the University of Chicago, earning a master's degree in 1906 and a PhD in astronomy in 1908. In 1907, prior to completing his PhD, he joined the staff of the University of Chicago as a research assistant in geology. In 1908, he became an associate in mathematics, then in 1909, he began instruction in astronomy at the same institution. His career as a professor began in 1912 when he became an assistant professor. In 1917, when the U.S. declared war on Germany, Dr. MacMillan served as a major in the U.S. army's ordnance department during World War I. Following the war, he became associate professor in 1919, then full professor in 1924. MacMillan retired in 1936. In a 1958 paper about MacMillan's work on cosmology, Richard Schlegel introduced MacMillan as "best known to physicists for his three-volume Classical Mechanics" that remained in print for decades after MacMillan's 1936 retirement. MacMillan published extensively on the mathematics of the orbits of planets and stars. In the 1920s, MacMillan developed a cosmology that presumed an unchanging, steady-state model of the universe. This was uncontroversial at the time, and indeed in 1918, Albert Einstein had also sought to adapt his relativity theories to the model using a cosmological constant. MacMillan accepted that the radiance of stars came from then unknown processes that converted their mass into radiant energy. This perspective suggested that individual stars and the universe itself would ultimately go dark, which was called the "heat death" of the universe. MacMillan avoided the conclusion about the universe through a mechanism later known as the "tired-light hypothesis". He speculated that the light emitted by stars might recreate matter in its travels through space. MacMillan's work on cosmology lost influence in the 1930s after Hubble's law became accepted. Edwin Hubble's 1929 publication, and earlier work by Georges Lemaître, reported on observations of entire galaxies far from the earth and its galaxy. The further away a galaxy is, the faster it is apparently moving away from the earth. Hubble's law strongly suggested that universe is expanding. In 1948, a new version of a steady-state cosmology was proposed by Bondi, Gold, and Hoyle that was consistent with the measurements on distant galaxies. While the authors were apparently not aware of MacMillan's earlier work, substantial similarities exist. With the observation of the cosmic microwave background (CMB) in 1965, steady-state models of the universe have been rejected by most astronomers and physicists. The CMB is a prediction of the Big Bang model of an expanding universe. MacMillan also had a distaste for Einstein's relativity theories. In a published debate in 1927, Macmillan invoked "postulates of normal intuition" to argue against them. He objected to the theories' inconsistency with an absolute scale of time. Einstein's theories predict that an observer will see that rapidly moving clocks tick more slowly than the observer's own clock. Later experiments amply confirmed this "time dilation" prediction of relativity theory. In an Associated Press report, MacMillan speculated on the nature of interstellar civilizations, believing that they would be vastly more advanced than our own. "Out in the heavens, perhaps, are civilizations as far above ours as we are above the single cell, since they are so much older than ours." The crater MacMillan on the Moon is named in his honor.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with William Duncan MacMillan

Start with the simplest possible case. Write down what William Duncan MacMillan claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to William Duncan MacMillan before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about William Duncan MacMillan ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of William Duncan MacMillan

In research
William Duncan MacMillan appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses William Duncan MacMillan in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
William Duncan MacMillan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1871 births, 1948 deaths, American astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for William Duncan MacMillan outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study William Duncan MacMillan in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what William Duncan MacMillan means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain William Duncan MacMillan out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is William Duncan MacMillan in simple terms?

William Duncan MacMillan (July 24, 1871 – November 14, 1948) was an American mathematician and astronomer on the faculty of the University of Chicago. He published research on the applications of classical mechanics to astronomy, and is noted for pioneering speculations on physical cosmology.

Why does William Duncan MacMillan matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study William Duncan MacMillan?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on William Duncan MacMillan.

Tags

  • 1871 births
  • 1948 deaths
  • American astronomers
  • Lake Forest College alumni
  • Relativity critics
  • United States Army officers
  • University of Chicago alumni
  • University of Chicago faculty

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