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Through a remarkable calculation, they proved that the equations of string theory were consistent after all.
Unfortunately, the equations of string theory allow the extra dimensions to take many different geometric forms, making it difficult to extract definitive testable predictions.
Instead of a single answer, the equations of string theory seem to have so many solutions, millions upon millions of them, each describing a logically possible universe, that it may be impossible to tell which one describes our own.
Here Dr. Krauss, unhappily in my view, resorts to the newest and most controversial toy in the cosmologist's toolbox: the multiverse, a nearly infinite assemblage of universes, each with its own randomly determined rules, particles and forces, that represent solutions to the basic equations of string theory — the alleged theory of everything, or perhaps, as wags say, anything.
Like almost every other fundamental physical theory, the equations of string theory don't draw a strong distinction between the past and the future.
In its so-called landscape version, which since 2002 has been promoted and developed by Leonard Susskind and many other physicists, it is based on the apparent non-uniqueness of the equations of string theory.
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The governing equation of tubular string buckling can be expressed by linear differential equations with respect to lateral displacements.
Equation (49) is the differential equation for string which was made of a gradient elasticity material [16, 17, 36, 41].
The ekpyrotic process begins far in the indefinite past with a pair of flat empty branes sitting parallel to each other in a warped five-dimensional space -- a situation they say that represents the simplest solution of Einstein's equations in an advanced version of string theory.
First, the invariant manifold method is applied to the discretized ordinary differential equations of the axially moving string.
To deduce constitutive equations of bending, the drill string sliding along its axial line in a curvilinear bore hole Eq. (1) is represented in a moving reference frame oxyz with unit vectors ({mathbf{i}}), ({mathbf{j}}), ({mathbf{k}}).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com