Our Mathematical Universe

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Our Mathematical Universe:
My Quest for the Ultimate Nature of Reality
Our Mathematical Universe bookcover.jpg
Hardcover edition
Author Max Tegmark
LanguageEnglish
SubjectPhysics
GenreNon-fiction
Publisher Knopf
Publication date
January 7, 2014
Publication placeUnited States
Media typePrint (hardback)
Pages432
ISBN 978-0307599803
Professor Max Tegmark, author of Our Mathematical Universe Max Tegmark.jpg
Professor Max Tegmark, author of Our Mathematical Universe

Our Mathematical Universe: My Quest for the Ultimate Nature of Reality is a 2014 non-fiction book by the Swedish-American cosmologist Max Tegmark. Written in popular science format, the book interweaves what a New York Times reviewer called "an informative survey of exciting recent developments in astrophysics and quantum theory" with Tegmark's mathematical universe hypothesis, which posits that reality is a mathematical structure. [1] This mathematical nature of the universe, Tegmark argues, has important consequences for the way researchers should approach many questions of physics.

Contents

Summary

Tegmark, whose background and scientific research have been in the fields of theoretical astrophysics and cosmology, mixes autobiography and humor into his analysis of the universe. The book begins with an account of a bicycle accident in Stockholm in which Tegmark was killed—in some theoretical parallel universes, though not in our own. [2]

The rest of the book is divided into three parts. [3] Part one, "Zooming Out," deals with locating ourselves in the cosmos and/or multiverse. Part two, "Zooming In," looks for added perspective from quantum mechanics and particle physics. Part three, "Stepping Back," interweaves a scientific viewpoint with Tegmark's speculative ideas about the mathematical nature of reality. By the end of the book, Tegmark has hypothesized four different levels of multiverse.

According to Andrew Liddle, reviewing the book for Nature : [4]

The culmination that Tegmark seeks to lead us to is the "Level IV multiverse". This level contends that the Universe is not just well described by mathematics, but, in fact, is mathematics. All possible mathematical structures have a physical existence, and collectively, give a multiverse that subsumes all others. Here, Tegmark is taking us well beyond accepted viewpoints, advocating his personal vision for explaining the Universe.

Reception

Reviews of the book have generally praised Tegmark's writing and exposition of established physics, while often criticizing the content and speculativeness of his new "mathematical universe" hypothesis.

In a very positive review, Clive Cookson in The Financial Times wrote that "physics could do with more characters like Tegmark" and that his book "should engage any reader interested in the infinite variety of nature." [5] Giles Whitsell in The Times described the book as "mind-bending." [6] Peter Forbes in The Independent praised the last chapter of the book, on the risks of extinction humanity faces, as "wise and bracing". [7]

Brian Rotman, writing for The Guardian , was unconvinced by Tegmark's conclusions but also wrote that the book is "at the cutting edge of cosmology and quantum theory in friendly and relaxed prose, full of entertaining anecdotes and down-to-earth analogies." [8] Similarly, cosmologist Andrew Liddle, in Nature , summarized: [4]

This is a valuable book, written in a deceptively simple style but not afraid to make significant demands on its readers, especially once the multiverse level gets turned up to four. It is impressive how far Tegmark can carry you until, like a cartoon character running off a cliff, you wonder whether there is anything holding you up.

Criticism

Mathematical physicist Edward Frenkel, writing for The New York Times , alleged that the meaning of Tegmark's hypothesis "is a big question, which is never fully answered" and said that parts of the book "[pretend] to stay in the realm of science" while actually espousing "science fiction and mysticism." [9] In a positive review, cosmologist Andreas Albrecht, writing for SIAM Review, criticized Tegmark's proposed test of the "mathematical universe" hypothesis (the hypothetical identification of physical phenomena which cannot be described mathematically) as meaningless. [10] In a review written for The Wall Street Journal , physicist Peter Woit said that the problem with Tegmark's proposal is "not that it's wrong but that it's empty" and "radically untestable." [11] In Physics Today , Francis Sullivan particularly praised Tegmark's explanation of the theory of inflation but criticized his purportedly physical application of Emile Borel's theorem on normal numbers, and regarded his overall argument as circular. [12] In New Scientist , Mark Buchanan contrasted what he saw as the "uninhibited speculation" in parts of Tegmark's book with his earlier "hard, empirical" work which established him as a physicist. [13]

In The New York Times , science writer Amir Alexander concluded that the book is "brilliantly argued and beautifully written" and "never less than thought-provoking," although Tegmark's hypothesis is "simply too far removed from the frontiers of today's mainstream science" to judge its legitimacy. [2]

Related Research Articles

The anthropic principle, also known as the observation selection effect, is the proposition that the range of possible observations that could be made about the universe is limited by the fact that observations are possible only in the type of universe that is capable of developing intelligent life. Proponents of the anthropic principle argue that it explains why the universe has the age and the fundamental physical constants necessary to accommodate intelligent life. If either had been significantly different, no one would have been around to make observations. Anthropic reasoning has been used to address the question as to why certain measured physical constants take the values that they do, rather than some other arbitrary values, and to explain a perception that the universe appears to be finely tuned for the existence of life.

<span class="mw-page-title-main">Multiverse</span> Hypothetical group of multiple universes

The multiverse is the hypothetical set of all universes. Together, these universes are presumed to comprise everything that exists: the entirety of space, time, matter, energy, information, and the physical laws and constants that describe them. The different universes within the multiverse are called "parallel universes", "flat universes", "other universes", "alternate universes", "multiple universes", "plane universes", "parent and child universes", "many universes", or "many worlds". One common assumption is that the multiverse is a "patchwork quilt of separate universes all bound by the same laws of physics."

<span class="mw-page-title-main">Roger Penrose</span> British mathematical physicist (born 1931)

Sir Roger Penrose is an English mathematician, mathematical physicist, philosopher of science and Nobel Laureate in Physics. He is Emeritus Rouse Ball Professor of Mathematics in the University of Oxford, an emeritus fellow of Wadham College, Oxford, and an honorary fellow of St John's College, Cambridge, and University College London.

<span class="mw-page-title-main">Universe</span> Everything in space and time

The universe is all of space and time and their contents. It comprises all of existence, any fundamental interaction, physical process and physical constant, and therefore all forms of matter and energy, and the structures they form, from sub-atomic particles to entire galactic filaments. Since the early 20th century, the field of cosmology establishes that space and time emerged together at the Big Bang 13.787±0.020 billion years ago and that the universe has been expanding since then. The portion of the universe that can be seen by humans is approximately 93 billion light-years in diameter at present, but the total size of the universe is not known.

Reality is the sum or aggregate of all that is real or existent within the universe, as opposed to that which is only imaginary, nonexistent or nonactual. The term is also used to refer to the ontological status of things, indicating their existence. In physical terms, reality is the totality of a system, known and unknown.

"The Unreasonable Effectiveness of Mathematics in the Natural Sciences" is a 1960 article written by the physicist Eugene Wigner, published in Communication in Pure and Applied Mathematics. In it, Wigner observes that a theoretical physics's mathematical structure often points the way to further advances in that theory and to empirical predictions. Mathematical theories often have predictive power in describing nature.

<span class="mw-page-title-main">Lee Smolin</span> American theoretical physicist (born 1955)

Lee Smolin is an American theoretical physicist, a faculty member at the Perimeter Institute for Theoretical Physics, an adjunct professor of physics at the University of Waterloo, and a member of the graduate faculty of the philosophy department at the University of Toronto. Smolin's 2006 book The Trouble with Physics criticized string theory as a viable scientific theory. He has made contributions to quantum gravity theory, in particular the approach known as loop quantum gravity. He advocates that the two primary approaches to quantum gravity, loop quantum gravity and string theory, can be reconciled as different aspects of the same underlying theory. He also advocates an alternative view on space and time that he calls temporal naturalism. His research interests also include cosmology, elementary particle theory, the foundations of quantum mechanics, and theoretical biology.

<span class="mw-page-title-main">Max Tegmark</span> Swedish-American cosmologist

Max Erik Tegmark is a Swedish-American physicist, machine learning researcher and author. He is best known for his book Life 3.0 about what the world might look like as artificial intelligence continues to improve. Tegmark is a professor at the Massachusetts Institute of Technology and the president of the Future of Life Institute.

<span class="mw-page-title-main">Ultimate fate of the universe</span> Theories about the end of the universe

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<span class="mw-page-title-main">Fine-tuned universe</span> Hypothesis about life in the universe

The fine-tuned universe is the hypothesis that, because "life as we know it" could not exist if the constants of nature – such as the electron charge, the gravitational constant and others – had been even slightly different, the universe must be tuned specifically for life. In practice, this hypothesis is formulated in terms of dimensionless physical constants.

In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything" (TOE) proposed by cosmologist Max Tegmark. According to the hypothesis, the universe is a mathematical object in and of itself. Tegmark extends this idea to hypothesize that all mathematical objects exist, which he describes as a form of Platonism or Modal realism.

<i>The Trouble with Physics</i> 2006 string theory book by Lee Smolin

The Trouble with Physics: The Rise of String Theory, the Fall of a Science, and What Comes Next is a 2006 book by the theoretical physicist Lee Smolin about the problems with string theory. The book strongly criticizes string theory and its prominence in contemporary theoretical physics, on the grounds that string theory has yet to come up with a single prediction that can be verified using any technology that is likely to be feasible within our lifetimes. Smolin also focuses on the difficulties faced by research in quantum gravity, and by current efforts to come up with a theory explaining all four fundamental interactions. The book is broadly concerned with the role of controversy and diversity of approaches in scientific processes and ethics.

<span class="mw-page-title-main">Boltzmann brain</span> Philosophical thought experiment

The Boltzmann brain thought experiment suggests that it might be more likely for a brain to spontaneously form in space, complete with a memory of having existed in our universe, rather than for the entire universe to come about in the manner cosmologists think it actually did. Physicists use the Boltzmann brain thought experiment as a reductio ad absurdum argument for evaluating competing scientific theories.

The simulation hypothesis proposes that what we experience as the world is actually a simulated reality, such as a computer simulation in which we ourselves are constructs. There has been much debate over this topic in the philosophical discourse, and regarding practical applications in computing.

<i>Parallel Worlds</i> (book) 2004 book by Michio Kaku

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<i>The Grand Design</i> (book) 2010 popular science book by Stephen Hawking

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<i>The Hidden Reality</i> Book by Brian Greene

The Hidden Reality: Parallel Universes and the Deep Laws of the Cosmos is a book by Brian Greene published in 2011 which explores the concept of the multiverse and the possibility of parallel universes. It has been nominated for the Royal Society Winton Prize for Science Books for 2012.

<i>A Universe from Nothing</i> Book by Lawrence Krauss

A Universe from Nothing: Why There Is Something Rather than Nothing is a non-fiction book by the physicist Lawrence M. Krauss, initially published on January 10, 2012, by Free Press. It discusses modern cosmogony and its implications for the debate about the existence of God. The main theme of the book is the claim that "we have discovered that all signs suggest a universe that could and plausibly did arise from a deeper nothing—involving the absence of space itself and—which may one day return to nothing via processes that may not only be comprehensible but also processes that do not require any external control or direction."

<i>Time Reborn</i> Book by Lee Smolin

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<span class="mw-page-title-main">Why is there anything at all?</span> Metaphysical question

"Why is there anything at all?" or "Why is there something rather than nothing?" is a question about the reason for basic existence which has been raised or commented on by a range of philosophers and physicists, including Gottfried Wilhelm Leibniz, Ludwig Wittgenstein, and Martin Heidegger, who called it "the fundamental question of metaphysics".

References

  1. Frenkel, Edward (Feb 14, 2014). "Ad Infinitum 'Our Mathematical Universe,' by Max Tegmark". New York Times Book Review . Retrieved May 2, 2014. [The book] can be divided into two parts, different as day and night. One, by Dr. Tegmark, is an informative survey of exciting recent developments in astrophysics and quantum theory. The other, by Mr. Tegmark, is a discussion of his controversial idea that reality itself is a mathematical structure.
  2. 1 2 Alexander, Amir (April 21, 2014). "If It's Possible, It Happened: 'Our Mathematical Universe': A Case for Alternate Realities". New York Times. Retrieved May 2, 2014.
  3. Tegmark, Max (2014). Our Mathematical Universe: My Quest for the Ultimate Nature of Reality by Max Tegmark . Alfred A. Knopf. ISBN   978-0307599803.
  4. 1 2 Liddle, Andrew (January 1, 2014). "Physics: Chasing Universes". Nature . 505 (7481): 24–25. Bibcode:2014Natur.505...24L. doi: 10.1038/505024a . S2CID   4405709.
  5. Cookson, Clive (January 3, 2014). "'Our Mathematical Universe', by Max Tegmark". The Financial Times .
  6. Whitsell, Giles (January 25, 2014). "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality by Max Tegmark". The Times .
  7. Forbes, Peter (January 24, 2014). "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality by Max Tegmark, book review" . The Independent . Archived from the original on 2022-05-24. Retrieved June 8, 2014.
  8. Rotman, Brian (January 31, 2014). "Our Mathematical Universe by Max Tegmark – review". The Guardian . Retrieved May 2, 2014.
  9. Frenkel, Edward (February 14, 2014). "Ad Infinitum". The New York Times .
  10. Albrecht, Andreas (March 2015). "Featured Review: Our Mathematical Universe: My Quest for the Ultimate Nature of Reality by Max Tegmark". SIAM Review . 57 (1): 153–157. JSTOR   24248526.
  11. Woit, Peter (January 17, 2014). "Book Review: 'Our Mathematical Universe' by Max Tegmark". Wall Street Journal . Retrieved May 2, 2014.
  12. Sullivan, Francis (2014). "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality". Physics Today . 67 (7): 51–52. Bibcode:2014PhT....67g..51S. doi:10.1063/PT.3.2453.
  13. Buchanan, Mark (January 15, 2014). "When does multiverse speculation cross into fantasy?". New Scientist .