Cycles of Time

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Cycles of Time: An Extraordinary New View of the Universe
Cycles of Time Penrose 2010.jpg
Bodley Head 1st edition front cover
Author Roger Penrose
Cover artistGetty Images
CountryUnited Kingdom
LanguageEnglish
SubjectsScience, Mathematics, Cosmology, Physics
Publisher Bodley Head (UK)
Knopf (US)
Publication date
23 September 2010
3 May 2011 (US)
Media typePrint (Hardcover)
Pages288 pp.
ISBN 978-0-224-08036-1
LC Class QB991.C92 P46 2010
Preceded by The Road to Reality  
Followed by Fashion, Faith, and Fantasy in the New Physics of the Universe  

Cycles of Time: An Extraordinary New View of the Universe is a science book by mathematical physicist Roger Penrose published by The Bodley Head in 2010. The book outlines Penrose's Conformal Cyclic Cosmology (CCC) model, which is an extension of general relativity but opposed to the widely supported multidimensional string theories and cosmological inflation following the Big Bang.

Contents

Synopsis

Penrose examines implications of the Second Law of Thermodynamics and its inevitable march toward a maximum entropy state of the universe. Penrose illustrates entropy in terms of information state phase space (with 1 dimension for every degree of freedom) where particles end up moving through ever larger grains of this phase space from smaller grains over time due to random motion. He disagrees with Stephen Hawking's back-track [1] over whether information is destroyed when matter enters black holes. Such information loss would non-trivially lower total entropy in the universe as the black holes wither away due to Hawking radiation, resulting in a loss in phase space degrees of freedom.

Penrose goes on further to state that over enormous scales of time (beyond 10100 years), distance ceases to be meaningful as all mass breaks down into extremely red-shifted photon energy, whereupon time has no influence, and the universe continues to expand without event . This period from Big Bang to infinite expansion Penrose defines as an aeon. The smooth "hairless" infinite oblivion of the previous aeon becomes the low-entropy Big Bang state of the next aeon cycle. Conformal geometry preserves the angles but not the distances of the previous aeon, allowing the new aeon universe to appear quite small at its inception as its phase space starts anew.

Penrose cites concentric rings found in the WMAP cosmic microwave background survey as preliminary evidence for his model, as he predicted black hole collisions from the previous aeon would leave such structures due to ripples of gravitational waves.

Reception

Most nonexpert critics (nonscientists) have found the book a challenge to fully comprehend; a few such as Kirkus Reviews [2] and Doug Johnstone for The Scotsman [3] appreciate the against the grain innovative ideas Penrose puts forth. Manjit Kumar reviewing for The Guardian admires the Russian doll geometry play of the CCC concept, framing it as an idea of which M. C. Escher "would have approved". [4] Graham Storrs for the New York Journal of Books concedes that this is not the book that an unambitious lay person should plunge into. [5] The American fiction writer Anthony Doerr in The Boston Globe writes "Penrose has never shied away from including mathematics in his texts, and kudos to his publisher for honoring that wish. That said, the second half of Cycles of Time offers some seriously hard sledding"; "If you'll forgive a skiing metaphor, Cycles of Time is a black diamond of a book." [6]

Related Research Articles

Big Bang Cosmological model of an expanding universe

The Big Bang theory is the prevailing cosmological model explaining the existence of the observable universe from the earliest known periods through its subsequent large-scale evolution. The model describes how the universe expanded from an initial state of high density and temperature, and offers a comprehensive explanation for a broad range of observed phenomena, including the abundance of light elements, the cosmic microwave background (CMB) radiation, and large-scale structure.

Inflation (cosmology) Theory of rapid universe expansion

In physical cosmology, cosmic inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the early universe. The inflationary epoch lasted from 10−36 seconds after the conjectured Big Bang singularity to some time between 10−33 and 10−32 seconds after the singularity. Following the inflationary period, the universe continued to expand, but at a slower rate. The acceleration of this expansion due to dark energy began after the universe was already over 7.7 billion years old.

Roger Penrose English mathematical physicist

Sir Roger Penrose is a British mathematician, mathematical physicist, philosopher of science and Nobel Laureate in Physics. He is Emeritus Rouse Ball Professor of Mathematics at 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.

Gravitational singularity Condition in which spacetime itself breaks down

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Big Crunch Theoretical scenario for the ultimate fate of the universe

The Big Crunch is a hypothetical scenario for the ultimate fate of the universe, in which the expansion of the universe eventually reverses and the universe recollapses, ultimately causing the cosmic scale factor to reach zero, an event potentially followed by a reformation of the universe starting with another Big Bang. The vast majority of evidence indicates that this hypothesis is not correct. Instead, astronomical observations show that the expansion of the universe is accelerating, rather than being slowed by gravity, suggesting that the universe is far more likely to end in heat death.

White hole Hypothetical region of spacetime

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Heat death of the universe Possible "fate" of the universe

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Cyclic model

A cyclic model is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles. For example, the oscillating universe theory briefly considered by Albert Einstein in 1930 theorized a universe following an eternal series of oscillations, each beginning with a Big Bang and ending with a Big Crunch; in the interim, the universe would expand for a period of time before the gravitational attraction of matter causes it to collapse back in and undergo a bounce.

Black hole information paradox Whether information can disappear in a black hole

The black hole information paradox is a puzzle resulting from the combination of quantum mechanics and general relativity. In the 1970s Stephen Hawking found that an isolated black hole would emit radiation at a temperature controlled by its mass, charge and angular momentum. Hawking also argued that the details of the radiation would be independent of the initial state of the black hole. If so, this would allow physical information to permanently disappear in a black hole, allowing many physical states to evolve into the same state. However, this violates a core precept of both classical and quantum physics—that, in principle, the state of a system at one point in time should determine its value at any other time. Specifically, in quantum mechanics the state of the system is encoded by its wave function. The evolution of the wave function is determined by a unitary operator, and unitarity implies that the wave function at any instant of time can be used to determine the wave function either in the past or the future.

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Conformal cyclic cosmology (CCC) is a cosmological model in the framework of general relativity and proposed by theoretical physicist Roger Penrose. In CCC, the universe iterates through infinite cycles, with the future timelike infinity of each previous iteration being identified with the Big Bang singularity of the next. Penrose popularized this theory in his 2010 book Cycles of Time: An Extraordinary New View of the Universe.

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References

  1. Hawking, S.W. (18 July 2005). "Information Loss in Black Holes". Physical Review D. 72 (8): 084013. arXiv: hep-th/0507171 . Bibcode:2005PhRvD..72h4013H. doi:10.1103/PhysRevD.72.084013.
  2. "Cycles of Time: An Extraordinary New View of the Universe – Review". Kirkus Reviews. 1 April 2011.
  3. Johnstone, Doug (19 September 2010). "Book reviews: The Grand Design | Cycles of Time". The Scotsman. Retrieved 26 May 2011.
  4. Kumar, Manjit (16 October 2010). "Cycles of Time: An Extraordinary New View of the Universe by Roger Penrose – review". The Guardian. Retrieved 27 May 2011.
  5. Storrs, Graham (3 May 2011). "Cycles of Time: An Extraordinary New View of the Universe". New York Journal of Books. Retrieved 26 May 2011.
  6. Doerr, Anthony (15 May 2011). "The music of physics". The Boston Globe. (subscription required). Archived from the original on 10 June 2014. Retrieved 15 April 2012.