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A paper of cosmology and quantum mechanics.
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No Big Bang? Quantum equation predictsuniverse has no beginning9 February 2015, by Lisa Zyga
This is an artist's concept of the metric expansion ofspace, where space (including hypothetical non-observable portions of the universe) is represented ateach time by the circular sections. Note on the left thedramatic expansion (not to scale) occurring in theinflationary epoch, and at the center the expansionacceleration. The scheme is decorated with WMAPimages on the left and with the representation of stars atthe appropriate level of development. Credit: NASA
(Phys.org) The universe may have existedforever, according to a new model that appliesquantum correction terms to complementEinstein's theory of general relativity. The modelmay also account for dark matter and dark energy,resolving multiple problems at once.
The widely accepted age of the universe, asestimated by general relativity, is 13.8 billion years.In the beginning, everything in existence is thoughtto have occupied a single infinitely dense point, orsingularity. Only after this point began to expand ina "Big Bang" did the universe officially begin.
Although the Big Bang singularity arises directlyand unavoidably from the mathematics of generalrelativity, some scientists see it as problematicbecause the math can explain only what happenedimmediately afternot at or beforethe singularity.
"The Big Bang singularity is the most seriousproblem of general relativity because the laws ofphysics appear to break down there," Ahmed FaragAli at Benha University and the Zewail City ofScience and Technology, both in Egypt, told Phys.org.
Ali and coauthor Saurya Das at the University ofLethbridge in Alberta, Canada, have shown in apaper published in Physics Letters B that the BigBang singularity can be resolved by their newmodel in which the universe has no beginning andno end.
Old ideas revisited
The physicists emphasize that their quantumcorrection terms are not applied ad hoc in anattempt to specifically eliminate the Big Bangsingularity. Their work is based on ideas by thetheoretical physicist David Bohm, who is alsoknown for his contributions to the philosophy ofphysics. Starting in the 1950s, Bohm exploredreplacing classical geodesics (the shortest pathbetween two points on a curved surface) withquantum trajectories.
In their paper, Ali and Das applied these Bohmiantrajectories to an equation developed in the 1950sby physicist Amal Kumar Raychaudhuri atPresidency University in Kolkata, India.Raychaudhuri was also Das's teacher when he wasan undergraduate student of that institution in the'90s.
Using the quantum-corrected Raychaudhuriequation, Ali and Das derived quantum-correctedFriedmann equations, which describe theexpansion and evolution of universe (including theBig Bang) within the context of general relativity.Although it's not a true theory of quantum gravity,
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the model does contain elements from bothquantum theory and general relativity. Ali and Dasalso expect their results to hold even if and when afull theory of quantum gravity is formulated.
No singularities nor dark stuff
In addition to not predicting a Big Bang singularity,the new model does not predict a "big crunch"singularity, either. In general relativity, one possiblefate of the universe is that it starts to shrink until itcollapses in on itself in a big crunch and becomesan infinitely dense point once again.
Ali and Das explain in their paper that their modelavoids singularities because of a key differencebetween classical geodesics and Bohmiantrajectories. Classical geodesics eventually crosseach other, and the points at which they convergeare singularities. In contrast, Bohmian trajectoriesnever cross each other, so singularities do notappear in the equations.
In cosmological terms, the scientists explain thatthe quantum corrections can be thought of as acosmological constant term (without the need fordark energy) and a radiation term. These termskeep the universe at a finite size, and therefore giveit an infinite age. The terms also make predictionsthat agree closely with current observations of thecosmological constant and density of the universe.
New gravity particle
In physical terms, the model describes the universeas being filled with a quantum fluid. The scientistspropose that this fluid might be composed ofgravitonshypothetical massless particles thatmediate the force of gravity. If they exist, gravitonsare thought to play a key role in a theory ofquantum gravity.
In a related paper, Das and another collaborator,Rajat Bhaduri of McMaster University, Canada,have lent further credence to this model. Theyshow that gravitons can form a Bose-Einsteincondensate (named after Einstein and anotherIndian physicist, Satyendranath Bose) at
temperatures that were present in the universe at allepochs.
Motivated by the model's potential to resolve theBig Bang singularity and account for dark matterand dark energy, the physicists plan to analyzetheir model more rigorously in the future. Theirfuture work includes redoing their study while takinginto account small inhomogeneous and anisotropicperturbations, but they do not expect smallperturbations to significantly affect the results.
"It is satisfying to note that such straightforwardcorrections can potentially resolve so many issuesat once," Das said.
More information: Ahmed Farag Ali and SauryaDas. "Cosmology from quantum potential." PhysicsLetters B. Volume 741, 4 February 2015, Pages276279. DOI: 10.1016/j.physletb.2014.12.057.Also at: arXiv:1404.3093[gr-qc].
Saurya Das and Rajat K. Bhaduri, "Dark matter anddark energy from Bose-Einstein condensate",preprint: arXiv:1411.0753[gr-qc].
2015 Phys.org
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APA citation: No Big Bang? Quantum equation predicts universe has no beginning (2015, February 9)retrieved 12 February 2015 from http://phys.org/news/2015-02-big-quantum-equation-universe.html
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