Fred Adams sees stars in the most unlikely places.
His calculations suggest that, contrary to some previous
claims, stars are not only common in our cosmos but are also ablaze in myriad
other universes, where the laws of physics may be drastically different. Even in
a cosmos where balls of gas and dust never collapse and ignite to make conventional
stars, radiation produced by black holes and clumps of invisible material
called dark matter may play the same role as stars, says Adams, a theorist at
the University of Michigan in Ann Arbor.
“In fact, all universes can support the existence of stars,
provided that the definition of star is interpreted broadly,” notes Adams in the August online Journal of Cosmology and Astroparticle Physics.
Adams embarked on his study
because he wanted to find out if other possible universes, in which the
constants of nature might have different values, could support the existence of
stars. Multiple universes, or the idea of a multiverse, is envisioned by some
modern versions of the Big Bang theory.
According to inflation, a leading theory of the birth of the
universe, the cosmos underwent a tremendous growth spurt in its first tiny
fraction of a second, enlarging from subatomic scale to the size of a
grapefruit. This rapid expansion may also have occurred in other patches of
space remote from our cosmos, creating a multitude of pocket universes, or
multiverses, with different physical laws.
In his analysis, Adams simulated
conditions in other universes by simultaneously varying three parameters: the
gravitational constant, which determines the strength of gravity; the fine
structure constant, which sets the strength of the electromagnetic force; and a
composite number that determines the rate of nuclear reactions, which keep
stars shining.
Other researchers, he notes, have considered a broader class
of questions in exploring the multiverse, including not only the possibility of
star formation and stellar structure, but also that of galaxy formation and the
existence of life.
“I did a specific
approach that is much more detailed on the particular topic of ‘can there be stars?’ ”
says Adams.
By allowing all three of the parameters, rather than a
single parameter, to vary, Adams created a
simulation that may embrace a larger number of possible universes, he says. He
finds that stars are stable entities in roughly one-fourth of the universes he
considered. “That’s a sizable amount of
real estate.”
He cautions, however, that his calculations assume that all
possible values of the each parameter are equally likely. For instance, it may
be more likely for a universe to have a smaller nuclear reaction rate than a
larger one. “We simply do not know,” Adams
says.
The results are not “particularly surprising, as stars are
both fairly simple and fairly robust objects that essentially require [only] a
heat source and gravity,” says Anthony Aguirre of the University
of California, Santa Cruz.
“But Adams has done an elegant
job of working through the problem to find out exactly how different the
universe could be while supporting stars,” Aguirre says.
The findings have several intriguing implications, he adds. Had
Adams found that the range of parameters that
allowed for stars was very small, that would have suggested that the laws of
physics in our universe have been “fine-tuned” to allow for star formation,
Aguirre notes. Instead, Adams’ study shows
that our universe doesn’t seem particularly special in that regard.
“The paper nicely points out that when considering whether
other, different universes can sustain life, it is very important to carefully
consider how the known universe could change, but also to consider all sorts of
things that don't really exist here, such as black-hole-powered solar systems,
or dark-matter stars,” Aguirre says. “This open-minded approach can serve, in
some cases, as a counter-argument to claims that our universe is fine-tuned for
life.”
Found in: Atom & Cosmos and Physics
The volume, Vn, of a Hypersphere in n dimensional continuous space is as follows;
Vn = [(pi) EXP (n/2)](R EXP n)/{gamma function [(n/2) + 1]}.
The gamma function for even n is (n/2)!. For odd n, the gamma function is [(pi) EXP (1/2)][n!!]/{2 EXP [(n + 1)/2]} where !! denotes the double factorial operation.
For an ordinary ball in 3-D, the volumetric formula yields the familiar [(4 pi)/3](R EXP 3). For a hypersphere of 4-D, the volume is {[(pi) EXP 2]/2}(R EXP 4), and for 5-D, the volume is [(8)(pi EXP 2)/(15)](R EXP 5). As one can see, with infinitely fine grained space, a 4-D sphere has infinitely more volume than a 3-D sphere just as a cube is made up of a stack of an infinite number of squares planar sections. Likewise, a 5-D sphere has infinitely more volume than a 4-D sphere and so on.
With ordinary Planck scale spatial granularity, the volume, Vn, of an n-D sphere star with a Radius of 1,000,000 kilometers is [(Planck distance in meters) EXP -1](10 EXP 3)(10 EXP 6)[Vn-1].
If we find such stars, what an amazing power source they might be commensurate with the huge increase in reacting mass volume for each incremental increase in dimensionality of the star. The 3-D sub-space average volumetric output of the hyperstar examples is assumed to be equal to that of the Sun.
The volume, Vn, of a Hypersphere in n dimensional continuous space is as follows;
Vn = [(pi) EXP (n/2)](R EXP n)/{gamma function [(n/2) + 1]}.
The gamma function for even n is (n/2)!. For odd n, the gamma function is [(pi) EXP (1/2)][n!!]/{2 EXP [(n + 1)/2]} where !! denotes the double factorial operation.
For an ordinary ball in 3-D, the volumetric formula yields the familiar [(4 pi)/3](R EXP 3). For a hypersphere of 4-D, the volume is {[(pi) EXP 2]/2}(R EXP 4), and for 5-D, the volume is [(8)(pi EXP 2)/(15)](R EXP 5). As one can see, with infinitely fine grained space, a 4-D sphere has infinitely more volume than a 3-D sphere just as a cube is made up of a stack of an infinite number of squares planar sections. Likewise, a 5-D sphere has infinitely more volume than a 4-D sphere and so on.
With ordinary Planck scale spatial granularity, the volume, Vn, of an n-D sphere star with a Radius of 1,000,000 kilometers is [(Planck distance in meters) EXP -1](10 EXP 3)(10 EXP 6)[Vn-1].
If we find such stars, what an amazing power source they might be commensurate with the huge increase in reacting mass volume for each incremental increase in dimensionality of the star. The 3-D sub-space average volumetric output of the hyperstar examples is assumed to be equal to that of the Sun.
Since cosmologists have gone so far as to speculate that even if our universe is of infinite spatial extent, it may be just one universe on an infinite tree of universes with each universe giving birth to innumerable baby universes during each differential unit of time. These baby universe, or at ;east some of them, inflate and give birth to additional universes in a never ending fractal tree, thus the reason for the name Chaotic Inflationary Theory for the associated theory of the cosmos.
If there can be one such fractal verse or multiverse, why could their not exist innumerable fractal trees or fractal-verses that are either very weakly casually coupled or completely non-coupled.
Perhaps there are higher levels to this hierarchy such as degenerate or completely separate scalar fields wherein each scalar field gives rise to a perhaps ever growing set of innumerable fractal verses. Perhaps there may be no end to the level of such hierarchies.
One can also imagine that there might exist 4 dimensional stars, 5 dimensional stars, 6 dimensional stars,…, in other universes with higher numbers of macroscopically extended dimensions.
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