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Did the Early Universe Have Just One Dimension?

Article Updated: 24 Dec , 2015

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From a University of Buffalo press release:

Did the early universe have just one spatial dimension? That’s the mind-boggling concept at the heart of a theory that physicist Dejan Stojkovic from the University at Buffalo and colleagues proposed in 2010. They suggested that the early universe — which exploded from a single point and was very, very small at first — was one-dimensional (like a straight line) before expanding to include two dimensions (like a plane) and then three (like the world in which we live today).

The theory, if valid, would address important problems in particle physics.

Now, in a new paper in Physical Review Letters, Stojkovic and Loyola Marymount University physicist Jonas Mureika describe a test that could prove or disprove the “vanishing dimensions” hypothesis.

Because it takes time for light and other waves to travel to Earth, telescopes peering out into space can, essentially, look back into time as they probe the universe’s outer reaches.

Gravitational waves can’t exist in one- or two-dimensional space. So Stojkovic and Mureika have reasoned that the Laser Interferometer Space Antenna (LISA), a planned international gravitational observatory, should not detect any gravitational waves emanating from the lower-dimensional epochs of the early universe.

Stojkovic, an assistant professor of physics, says the theory of evolving dimensions represents a radical shift from the way we think about the cosmos — about how our universe came to be.

The core idea is that the dimensionality of space depends on the size of the space we’re observing, with smaller spaces associated with fewer dimensions. That means that a fourth dimension will open up — if it hasn’t already — as the universe continues to expand.

The theory also suggests that space has fewer dimensions at very high energies of the kind associated with the early, post-big bang universe.

If Stojkovic and his colleagues are right, they will be helping to address fundamental problems with the standard model of particle physics, including the following:

The incompatibility between quantum mechanics and general relativity. Quantum mechanics and general relativity are mathematical frameworks that describe the physics of the universe. Quantum mechanics is good at describing the universe at very small scales, while relativity is good at describing the universe at large scales. Currently, the two theories are considered incompatible; but if the universe, at its smallest levels, had fewer dimensions, mathematical discrepancies between the two frameworks would disappear.

Physicists have observed that the expansion of the universe is speeding up, and they don’t know why. The addition of new dimensions as the universe grows would explain this acceleration. (Stojkovic says a fourth dimension may have already opened at large, cosmological scales.)

The standard model of particle physics predicts the existence of an as yet undiscovered elementary particle called the Higgs boson. For equations in the standard model to accurately describe the observed physics of the real world, however, researchers must artificially adjust the mass of the Higgs boson for interactions between particles that take place at high energies. If space has fewer dimensions at high energies, the need for this kind of “tuning” disappears.

“What we’re proposing here is a shift in paradigm,” Stojkovic said. “Physicists have struggled with the same problems for 10, 20, 30 years, and straight-forward extensions of the existing ideas are unlikely to solve them.”

“We have to take into account the possibility that something is systematically wrong with our ideas,” he continued. “We need something radical and new, and this is something radical and new.”

Because the planned deployment of LISA is still years away, it may be a long time before Stojkovic and his colleagues are able to test their ideas this way.

However, some experimental evidence already points to the possible existence of lower-dimensional space.

Specifically, scientists have observed that the main energy flux of cosmic ray particles with energies exceeding 1 teraelectron volt — the kind of high energy associated with the very early universe — are aligned along a two-dimensional plane.

If high energies do correspond with lower-dimensional space, as the “vanishing dimensions” theory proposes, researchers working with the Large Hadron Collider particle accelerator in Europe should see planar scattering at such energies.

Stojkovic says the observation of such events would be “a very exciting, independent test of our proposed ideas.”

Sources: EurekAlert, Physical Review Letters.

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Button Pusher
Member
Button Pusher
April 26, 2011 3:46 PM

A very interesting concept.

Who say 3 spatial and 1 temporal dimensions is how we started or how we will end, more dimensions for the people smile

but well if you follow string theory there is like 11-26 dimensions and i have no idea what they all do but the 4 dimensions i am aware off i love.

very mind boggling to comprehend but fairly logical in a way.

clatonium
Member
clatonium
April 26, 2011 4:11 PM

There is a fifth dimension, beyond that which is known to man. It is a dimension as vast as space and as timeless as infinity. It is the middle ground between light and shadow, between science and superstition, and it lies between the pit of man’s fears and the summit of his knowledge. This is the dimension of imagination. It is an area which we call The Twilight Zone.

lazyfruit
Member
lazyfruit
April 26, 2011 4:22 PM

Another ridiculous idea, I think a lot of the time Physicists just need something to do/think about in order to justify grants etc. This will undoubtably come to nothing.

He talks about the need to stop extensions upon extensions of ideas and this is exactly what this nonsense is.

Mr Mike
Guest
Mr Mike
April 26, 2011 9:16 PM
@lazyfruit So… if what you say is correct than what basic idea or principle is this an extension to an extension of –anyway? Additive extensions aside, is what this article tells you; what you are saying? In other words are you reading the same article as we are, cause it seems like you might be thinking of something other than what is written here. Maybe you are conflating this article with your own views, those views which cause you to capitalize Physicists, for example. If this is not a conflation and you estimation of it “…. undoubtably [sic] come to nothing.” may undoubtedly be mistaken for an incorrect viewpoint. As to the need to justify the granting of… Read more »
Jeffrey Boerst
Member
April 28, 2011 7:24 PM

10’ll get you 100, all they read was the headline and formed their entire hypothesis based on that. (as they sounded as though they are someone that neither likes nor understands science in general, I doubt they even WANTED to know what the idea was about, let alone would be able to understand [or even want to] what is being described)

Viljuri
Member
Viljuri
April 26, 2011 5:31 PM
What is a ‘dimension’ here? Not that they need to be plausible, but… Isn’t it a way too premature to give a deliberately false impression about the status of this idea? It is very much not like they have formulated a testable hypothesis, let alone formulated any internally consistent theory with sound mathematical structure? Have these ‘dimensions’ something to do with ‘degrees of freedom’, in a way how the concept is being used in statistical analysis? Meaning that underlying ‘idea'(?) might not be ‘physical’ at all? Of course, it is impossible to tell what they are really after based on press releases alone, but is there any additional info what could be said about the idea using layman… Read more »
Mr Mike
Guest
Mr Mike
April 26, 2011 9:24 PM

I agree with your assessment here, Viljuri, we need more to chew on before we spit the fat into the fire, therein a light blossoms from our efforts.

It might be the latter idea you toss out there, it might be ‘degrees of freedom’ or even something enticingly ‘new’.

Mike C

Jeffrey Boerst
Member
April 29, 2011 12:33 PM

The article states that they DID form a testable hypothesis and are waiting for LISA to launch in order to test it, no?

Dark Gnat
Member
Dark Gnat
April 26, 2011 5:40 PM

* Waiting for LBC to chime in on this.*

Weird, wild stuff!

Lawrence B. Crowell
Member
Lawrence B. Crowell
April 26, 2011 5:53 PM
You are correct on there being no gravity waves in dimensions 3 = 2 + 1 spacetime or less. Gravity waves are Weyl curvatures without direct sources, and the Weyl curvature is zero in dimensions less than 4. I review some things which suggest that the degrees of freedom for quantum gravity are one dimensional. This seems to be a growing realization on a number of fronts. Jacob Bekenstein and Avraham May demonstrated how black holes are one dimensional channels of quantum information back in 2001. Ashoke Sen demonstrated something similar to this. An anti-de Sitter (AdS) spacetime of dimension n is equivalent to a conformal field theory of dimension n-1. The isometries of the AdS spacetime are… Read more »
Mr Mike
Guest
Mr Mike
April 26, 2011 9:40 PM

@LC

Chiming in here since you brought up Escher Circle Limits:

I loved the paper by Melissa Potter and Jason M. Ribando in 2003/4. So much history and so much practicably demonstration within that paper. Of course it is not the math part they dwell upon but the physical construction of these non-Euclidean figures of Escher, this is almost as fascinating as a snake and bird dance.

Isometries, Tessellations and Escher, Oh My! found at
http://www.uni.edu/ajur/v3n4/Potter%20and%20Ribando%20pp%2021-28.pdf

Mike C

Lawrence B. Crowell
Member
Lawrence B. Crowell
April 27, 2011 2:04 AM
Hyperbolic tessellations are examples of a modular group, or a discrete subset of a group with modular structure. Modular forms play an absolutely key role in what I am working on. These tessellations are discrete modular forms, and in general for these there exists four number a, b, c, d such that for any x in one of the tessellation cells it is mapped to x’ in another cell by x’ = (ax + b)/(cx + d). In the case that a = d = 0 this is a form of the S-duality in string theory. Here is the interesting puzzle. The hyperbolic disk is tessellated by arcs that are the geodesic (extremal paths) of a “particle.” Now… Read more »
Mr Mike
Guest
Mr Mike
April 27, 2011 12:04 AM
@LC I am sure you have a few thoughts on the possibility of gravimetric variations in gravity waves (when we find them that is) and some shifting around of those variations based on distance from detector to the origination area, i.e., longer distances cause greater or lesser depth to the wave or closer spacing in the wave (just to place this into terms understandable and familiar to us all). Although we have no current power value or frequency shift for the gravitation wave or detected fields these might well exist in the measured data we would chart (when we actually get some values to chart that is). What might those values constitute? This is of course sheerest speculation… Read more »
Lawrence B. Crowell
Member
Lawrence B. Crowell
April 27, 2011 3:20 AM

@Mike: Gravity waves do not have dispersion like electromagnetic waves do. Any form of matter they encounter is equivalent, no matter its composition.

LC

JJ
Member
JJ
April 26, 2011 10:12 PM

Am i right to understand that this theory suggests that the observed increasing expansion rate is actually an optical illusion stemming from the projection of the large scale 4 dimension space on our familiar 3 dimensions?

JJ

William928
Member
William928
April 26, 2011 11:18 PM

@JJ: In a word, no. Perhaps you should (re)read the article which clearly posits that the rapid expansion of the universe may be explained by the addition of new dimensions, and hypothesize that a fourth dimension may already exist at large cosmological scales. Even with my limited exposure to physics I was able to extract this much in the way of an explanation. Optical illusions play no part in the matter.

Jon Hanford
Member
Jon Hanford
April 27, 2011 12:43 AM

Though the subject matter is a bit beyond my ken, the (short) paper by Mureika and Stojkovic was an interesting read: http://arxiv.org/PS_cache/arxiv/pdf/1102/1102.3434v2.pdf

However, a paper critical of this work has been posted: (http)://arxiv.org/PS_cache/arxiv/pdf/1104/1104.1223v1.pdf

From the paper:

“It has been recently claimed that quantum gravity models where the number of dimensions reduces at the ultraviolet exhibit a potentially observable cutoff in the primordial gravitational wave spectrum, and that this is a “generic” and “robust” test for such models, since “(2+1)-dimensional spacetimes have no gravitational degrees of freedom”. We argue that such a claim is misleading.”

Are they on to something?

Lawrence B. Crowell
Member
Lawrence B. Crowell
April 27, 2011 3:16 AM

In reading their paper I too find myself on the skeptical side.

LC

Torbjorn Larsson OM
Member
Torbjorn Larsson OM
April 27, 2011 5:34 AM
I join to the skeptics. Without yet having read the critical paper (thanks, Jon!) I’ll jot down some weaknesses in some haste: – This is a quantum gravity paper with all its weaknesses: — Quantum gravity is assumed to resolve both gravity and standard model. That isn’t the simplest assumption. (Though I admit to using entropy to embed the outstanding point is a good trick!) — QG has adopted a funny set of standards of physics which “are not”, for example claiming that absence of a minimum energy level or dynamics (making simple harmonic oscillators for start) are acceptable when they aren’t. Here they throw in the as I understand it erroneous claim, as also QG causal dynamical… Read more »
Torbjorn Larsson OM
Member
Torbjorn Larsson OM
April 27, 2011 5:45 AM

Well, haste: “4 spacetime dimensioned systems” should be “4 large scale dimensions” (for space).

Lawrence B. Crowell
Member
Lawrence B. Crowell
April 27, 2011 12:08 PM
Aspects of this theory can’t be accepted. In particular the idea that spatial dimensions emerge with time is highly problematic. As you point out there are problems with electromagnetism and in fact with gauge theories in general. There is the field tensor in spacetime F_{ab} = &_bA_a – &_aA_b (& = partial derivative and A_a the 4-dim vector potential). This rank 2 tensor in four dimensional space or spacetime is such that there is a self-duality. The electric fields are E_i = F_{0i}, 0 = time index and i = spatial index, and the magnetic fields are determined by the spatial bi-vector forms B_i = F_{jk}, for i perpendicular to the directions j and k. For instance B_1… Read more »
Andrew James
Member
April 27, 2011 2:00 AM

Q: What is the meaning an origin of the zeroth dimension, here?
Does it have any real meaning if it somehow it manifests one dimension (then onto multiple ones)?

davesmith_au
Member
April 27, 2011 8:31 AM

Oh brother! I can just hear it coming … dark dimensions!

Button Pusher
Member
Button Pusher
April 27, 2011 12:00 PM

I am just waiting for the EU dimensions and Plasma Dimensions, they are bound to come at one point or another smile.

norssk
Member
norssk
April 27, 2011 9:04 AM

Avid Reader, never posted before
Just had to express my feelings after reading these comments…

Gosh there are some smart people on this site…

FVRBLACKTYGER
Member
April 27, 2011 12:34 PM

To the SYSTEM GALAXIES Big Bang is SERIOUSLY WRONG SCIENCE. They talk in terms of Star Plasma and moving it about within their System Galaxies safely.
Big Bang and evolution as sciences are used,with certain other locks as a POWER LOCK OUT.
Text cut and withheld.
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SPACEBOY2025
Member
SPACEBOY2025
April 27, 2011 5:00 PM

maybe we still ARE in a 1 dimensional dimension and our 1d brains fool us in thinking that there are 3 dimentions out there but in fact we are trapped, trapped in a very tiny 1d box….ahhhhhhh

Paul Eaton-Jones
Member
May 4, 2011 11:01 AM

The article states that smaller spaces are associated with fewer dimensions. What does that mean at the Planck Scale?

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