Don Page (physicist)

Last updated
Don Page
Don Page (cropped).jpg
Page at Department of Physics, National Taiwan University
Born (1948-12-31) December 31, 1948 (age 75)
Bethel, Alaska, United States
NationalityCanadian
Known for Page curve
Page time
Hawking–Page phase transition
Chandrasekhar–Page equations
Alma mater William Jewell College
California Institute of Technology
University of Cambridge
Scientific career
Fields Theoretical physics
Institutions University of Alberta
Thesis Accretion into and emission from black holes  (1976)
Doctoral advisor Kip Thorne
Stephen W. Hawking
Website www.ualberta.ca/science/about-us/contact-us/faculty-directory/don-n,-d-,-page

Don Nelson Page FRSC (born December 31, 1948) is an American-born Canadian theoretical physicist at the University of Alberta, Canada. [1] [2] [3]

Contents

Work

Page's work focuses on quantum cosmology and theoretical gravitational physics, and he is noted for being a doctoral student of Stephen Hawking, who was at Caltech during 1974-1975, in addition to publishing several journal articles with him. [4] [5] Page got his BA at William Jewell College in the United States in 1971, attaining an MS in 1972 and a PhD in 1976 at Caltech. [6]

His professional career started as a research assistant in Cambridge from 1976-1979, followed by an assistant professorship at Penn State from 1979-1983, and then an associate professor at Penn State until 1986 before taking on the title of professor in 1986. Page spent four more years at Penn State before moving to become a professor at the University of Alberta in Canada in 1990.

In 1993, he argued that if a black hole starts in a pure quantum state and evaporates completely by a unitary process, the von Neumann entropy of the Hawking radiation initially increases and then decreases back to zero when the black hole has disappeared. [7] This is known as the Page curve, and the turnover point of the curve the Page time. [8] [9] For many researchers, deriving the Page curve is synonymous with solving the famous black hole information paradox. [10] :291

Awards and honors

In 2012, Page became a Fellow of the Royal Society of Canada. [11]

Religious views

Page is an Evangelical Christian. In commenting on the debate between William Lane Craig and Sean Carroll in 2014, he states in a guest post on Carroll's website that: "...in view of all the evidence, including both the elegance of the laws of physics, the existence of orderly sentient experiences, and the historical evidence, I do believe that God exists and think the world is actually simpler if it contains God than it would have been without God." [12] In the same post he criticises William Lane Craig's Kalam Cosmological Argument, saying that it "is highly dubious metaphysically, depending on contingent intuitions [i.e. the first premise] we have developed from living in a universe with relatively simple laws of physics and with a strong thermodynamic arrow of time."

See also

Related Research Articles

<span class="mw-page-title-main">Black hole</span> Region that has a no-return boundary

A black hole is a region of spacetime wherein gravity is so strong that no matter or electromagnetic energy can escape it. Albert Einstein's theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole. The boundary of no escape is called the event horizon. A black hole has a great effect on the fate and circumstances of an object crossing it, but it has no locally detectable features according to general relativity. In many ways, a black hole acts like an ideal black body, as it reflects no light. Quantum field theory in curved spacetime predicts that event horizons emit Hawking radiation, with the same spectrum as a black body of a temperature inversely proportional to its mass. This temperature is of the order of billionths of a kelvin for stellar black holes, making it essentially impossible to observe directly.

The holographic principle is a property of string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a lower-dimensional boundary to the region – such as a light-like boundary like a gravitational horizon. First proposed by Gerard 't Hooft, it was given a precise string theoretic interpretation by Leonard Susskind, who combined his ideas with previous ones of 't Hooft and Charles Thorn. Susskind said, "The three-dimensional world of ordinary experience—the universe filled with galaxies, stars, planets, houses, boulders, and people—is a hologram, an image of reality coded on a distant two-dimensional surface." As pointed out by Raphael Bousso, Thorn observed in 1978, that string theory admits a lower-dimensional description in which gravity emerges from it in what would now be called a holographic way. The prime example of holography is the AdS/CFT correspondence.

<span class="mw-page-title-main">Gravitational singularity</span> Condition in which spacetime itself breaks down

A gravitational singularity, spacetime singularity, or simply singularity, is a theoretical condition in which gravity is predicted to be so intense that spacetime itself would break down catastrophically. As such, a singularity is by definition no longer part of the regular spacetime and cannot be determined by "where" or "when". Gravitational singularities exist at a junction between general relativity and quantum mechanics; therefore, the properties of the singularity cannot be described without an established theory of quantum gravity. Trying to find a complete and precise definition of singularities in the theory of general relativity, the current best theory of gravity, remains a difficult problem. A singularity in general relativity can be defined by the scalar invariant curvature becoming infinite or, better, by a geodesic being incomplete.

Hawking radiation is emission released outside a black hole's event horizon according to a model developed by Stephen Hawking in 1974. The radiation was not predicted by previous models which assumed that once electromagnetic radiation is inside the event horizon, it cannot escape. Hawking radiation is predicted to be extremely faint and is many orders of magnitude below the current best telescopes' detecting ability.

<span class="mw-page-title-main">Black hole thermodynamics</span> Area of study

In physics, black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. As the study of the statistical mechanics of black-body radiation led to the development of the theory of quantum mechanics, the effort to understand the statistical mechanics of black holes has had a deep impact upon the understanding of quantum gravity, leading to the formulation of the holographic principle.

The Immirzi parameter is a numerical coefficient appearing in loop quantum gravity (LQG), a nonperturbative theory of quantum gravity. The Immirzi parameter measures the size of the quantum of area in Planck units. As a result, its value is currently fixed by matching the semiclassical black hole entropy, as calculated by Stephen Hawking, and the counting of microstates in loop quantum gravity.

In theoretical physics, an extremal black hole is a black hole with the minimum possible mass that is compatible with its charge and angular momentum.

The Unruh effect is a theoretical prediction in quantum field theory that an observer who is uniformly accelerating through empty space will perceive a thermal bath. This means that even in the absence of any external heat sources, an accelerating observer will detect particles and experience a temperature. In contrast, an inertial observer in the same region of spacetime would observe no temperature.

<span class="mw-page-title-main">W. G. Unruh</span> Canadian physicist

William George Unruh is a Canadian physicist at the University of British Columbia, Vancouver who described the hypothetical Unruh effect in 1976.

Micro black holes, also called mini black holes or quantum mechanical black holes, are hypothetical tiny black holes, for which quantum mechanical effects play an important role. The concept that black holes may exist that are smaller than stellar mass was introduced in 1971 by Stephen Hawking.

<span class="mw-page-title-main">Black hole information paradox</span> Puzzle of disappearance of information in a black hole

The black hole information paradox is a paradox that appears when the predictions of quantum mechanics and general relativity are combined. The theory of general relativity predicts the existence of black holes that are regions of spacetime from which nothing—not even light—can escape. In the 1970s, Stephen Hawking applied the semiclassical approach of quantum field theory in curved spacetime to such systems and found that an isolated black hole would emit a form of radiation. He also argued that the detailed form of the radiation would be independent of the initial state of the black hole, and depend only on its mass, electric charge and angular momentum.

<span class="mw-page-title-main">Quantum field theory in curved spacetime</span> Extension of quantum field theory to curved spacetime

In theoretical physics, quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory uses a semi-classical approach; it treats spacetime as a fixed, classical background, while giving a quantum-mechanical description of the matter and energy propagating through that spacetime. A general prediction of this theory is that particles can be created by time-dependent gravitational fields (multigraviton pair production), or by time-independent gravitational fields that contain horizons. The most famous example of the latter is the phenomenon of Hawking radiation emitted by black holes.

In black hole physics and inflationary cosmology, the trans-Planckian problem is the problem of the appearance of quantities beyond the Planck scale, which raise doubts on the physical validity of some results in these two areas, since one expects the physical laws to suffer radical modifications beyond the Planck scale.

Fuzzballs are hypothetical objects in superstring theory, intended to provide a fully quantum description of the black holes predicted by general relativity.

Werner Israel, was a theoretical physicist known for his contributions to gravitational theory, and especially to the understanding of black holes.

<span class="mw-page-title-main">Primordial black hole</span> Hypothetical black hole formed soon after the Big Bang

In cosmology, primordial black holes (PBHs) are hypothetical black holes that formed soon after the Big Bang. In the inflationary era and early radiation-dominated universe, extremely dense pockets of subatomic matter may have been tightly packed to the point of gravitational collapse, creating primordial black holes without the supernova compression typically needed to make black holes today. Because the creation of primordial black holes would pre-date the first stars, they are not limited to the narrow mass range of stellar black holes.

Black hole complementarity is a conjectured solution to the black hole information paradox, proposed by Leonard Susskind, Lárus Thorlacius, John Uglum, and Gerard 't Hooft.

The Bousso bound captures a fundamental relation between quantum information and the geometry of space and time. It appears to be an imprint of a unified theory that combines quantum mechanics with Einstein's general relativity. The study of black hole thermodynamics and the information paradox led to the idea of the holographic principle: the entropy of matter and radiation in a spatial region cannot exceed the Bekenstein–Hawking entropy of the boundary of the region, which is proportional to the boundary area. However, this "spacelike" entropy bound fails in cosmology; for example, it does not hold true in our universe.

A black hole firewall is a hypothetical phenomenon where an observer falling into a black hole encounters high-energy quanta at the event horizon. The "firewall" phenomenon was proposed in 2012 by physicists Ahmed Almheiri, Donald Marolf, Joseph Polchinski, and James Sully as a possible solution to an apparent inconsistency in black hole complementarity. The proposal is sometimes referred to as the AMPS firewall, an acronym for the names of the authors of the 2012 paper. The potential inconsistency pointed out by AMPS had been pointed out earlier by Samir Mathur who used the argument in favour of the fuzzball proposal. The use of a firewall to resolve this inconsistency remains controversial, with physicists divided as to the solution to the paradox.

<span class="mw-page-title-main">Samir D. Mathur</span> Indian physicist

Samir Dayal Mathur is a theoretical physicist who specializes in string theory and black hole physics.

References

  1. "Don Page - University of Alberta". Archived from the original on 2013-09-27. Retrieved 2013-09-23.
  2. "Achieve Magazine". Archived from the original on 2015-02-13. Retrieved 2015-02-12.
  3. John Simon Guggenheim Memorial Foundation (Jun 24, 1986). "Reports ... John Simon Guggenheim Memorial Foundation". John Simon Guggenheim Memorial Foundation. Retrieved Jun 24, 2020 via Google Books.
  4. Stephen Hawking; Don Page (1 October 1990). "Spectrum of wormholes". Physical Review D . 42 (8): 2655–2663. Bibcode:1990PhRvD..42.2655H. doi:10.1103/PHYSREVD.42.2655. ISSN   1550-7998. PMID   10013135. Wikidata   Q59348104.
  5. S. W. Hawking; Don N. Page (December 1983). "Thermodynamics of black holes in anti-de Sitter space". Communications in Mathematical Physics . 87 (4): 577–588. doi:10.1007/BF01208266. ISSN   0010-3616. Wikidata   Q59348141.
  6. Page, Don Nelson (1976). Accretion into and emission from black holes (Ph.D.). California Institute of Technology. OCLC   945995991.
  7. Page, Don N. (6 December 1993). "Information in Black Hole Radiation". Physical Review Letters. 71 (23): 3743–3746. arXiv: hep-th/9306083 . Bibcode:1993PhRvL..71.3743P. doi:10.1103/PhysRevLett.71.3743. PMID   10055062. S2CID   9363821.
  8. Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan; Shaghoulian, Edgar; Tajdini, Amirhossein (21 July 2021). "The entropy of Hawking radiation". Reviews of Modern Physics. 93 (3): 035002. arXiv: 2006.06872 . Bibcode:2021RvMP...93c5002A. doi:10.1103/RevModPhys.93.035002. S2CID   219635921. Glossary. Page curve: Consider a spacetime with a black hole formed by the collapse of a pure state. Surround the black hole by an imaginary sphere whose radius is a few Schwarzschild radii. The Page curve is a plot of the fine-grained entropy outside of this imaginary sphere, where we subtract the contribution of the vacuum. Since the black hole Hawking radiates and the Hawking quanta enter this faraway region, this computes the fine-grained entropy of Hawking radiation as a function of time. Notice that the regions inside and outside the imaginary sphere are open systems. The curve begins at zero when no Hawking quanta have entered the exterior region, and ends at zero when the black hole has completely evaporated and all of the Hawking quanta are in the exterior region. The "Page time" corresponds to the turnover point of the curve.
  9. Cox, Brian; Forshaw, Jeff (2022). Black Holes: the key to understanding the Universe. New York, NY: HarperCollins Publishers. p. 220-225. ISBN   9780062936691.
  10. Grumiller, Daniel; Sheikh-Jabbari, Mohammad Mehdi (2022). Black Hole Physics: From Collapse to Evaporation. Switzerland: Springer Graduate Texts in Physics. doi:10.1007/978-3-031-10343-8. ISBN   978-3-031-10342-1. S2CID   253372811.
  11. "Physicist Don Page named to the Royal Society of Canada". University of Alberta . January 20, 2012. Archived from the original on November 26, 2018. Retrieved March 24, 2018.
  12. "Guest Post: Don Page on God and Cosmology". March 20, 2015. Retrieved August 28, 2019.