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The Simple Harmonic Universe
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jrecnxkcovwkacjxurpanzcpocknsutcwjhheldzbteyyypkhyjussyjbpqcwjjkam
akcjhoacrnropxvlfocvniqrpzzygpndwuruxfyqhwkvzytuypjnfaudhkcwtxhhjv
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Presuppositions:
(1) Our universe is comprised of four physical dimensions – three spatial and one temporal.
(2) The three spatial dimensions are finite, boundless and exhibit positively curved Non-Euclidean geometry.
(3) Every dimension exists at right angles to every other dimension.
(4) Infinity is a vector [not a scalar] quantity
(5) The speed of light is t-invariant
(6) The observed hubble red shift is a consequence of the expanding universe.
(7) Hubble"'"s constant represents not a constant with regard to time, but a constant of proportionality with respect to distance.
Tenets:
(1) Although gravity affects the relative motion of objects in the universe, it does not slow down the expansion of the universe.
(2) The temporal dimension is finite, exhibits positively curved Non-Euclidean geometry and is bounded by beginning and ending points.
(3) Our universe comprises the outside four-dimensional surface of a five-dimensional sphere. At any instant in time, our universe exists as the outside three-dimensional surface of a four-dimensional sphere.
(4) The size of the universe as a function of time follows Simple Harmonic Motion.
In order to demonstrate the behavioral mechanics of our universe a model of a much simpler universe will be employed. This model universe consists of one spatial dimension and one of time. The relationship of the physical characteristics between the one spatial dimension in the model and the three spatial dimensions of our universe is direct. [1] The model represents an in depth view of one of our universes"'" three spatial dimensions.
The one spatial dimension in our model universe exists, at any instant, as the outside perimeter of a circle. Although this is one-dimensional space, it is bent into positively curved Non-Euclidean geometry. This bend (one time) [1] is at right angles to the direction of space. This circle is subscribed upon the outside of a three-dimensional sphere. Time is also bent (one time) at right angles to its"'" direction. It too exists on this three-dimensional sphere, but unlike the spatial dimension, it has beginning and ending points.
The one spatial dimension in our model universe exists, at any instant, as the outside perimeter of a circle. Although this is one-dimensional space, it is bent into positively curved Non-Euclidean geometry. This bend (one time) [1] is at right angles to the direction of space. This circle is subscribed upon the outside of a three-dimensional sphere. Time is also bent (one time) at right angles to its"'" direction. It too exists on this three-dimensional sphere, but unlike the spatial dimension, it has beginning and ending points. These two physical dimensions exist at right angles to one another but are curved or bent in the same direction (towards the center of the sphere)
[see illustration]
Time and Space co-exist at right angles to one another on the surface of a three-dimensional sphere. Time follows the curved surface of the sphere from a beginning point equating to the big bang to a point to an ending point – the big crunch. Space is finite, boundless and expanding as time progresses to the midpoint where it reaches it maximum size. From here it contracts until the reaching the big crunch.
The size of the universe as a function of time follows simple harmonic motion.
The image can be seen here: www.geocities.com/predictionsarchive/
uxrmjfzhgylpstkgxgjpdlgxdudtxyvwpkgldvoqsrxdcxdcioqrpiihlzytnnddhsu
jrecnxkcovwkacjxurpanzcpocknsutcwjhheldzbteyyypkhyjussyjbpqcwjjkam
akcjhoacrnropxvlfocvniqrpzzygpndwuruxfyqhwkvzytuypjnfaudhkcwtxhhjv
gpdggcwiqpyquufipsxrfpsiwmsdchzrbzdy
Presuppositions:
(1) Our universe is comprised of four physical dimensions – three spatial and one temporal.
(2) The three spatial dimensions are finite, boundless and exhibit positively curved Non-Euclidean geometry.
(3) Every dimension exists at right angles to every other dimension.
(4) Infinity is a vector [not a scalar] quantity
(5) The speed of light is t-invariant
(6) The observed hubble red shift is a consequence of the expanding universe.
(7) Hubble"'"s constant represents not a constant with regard to time, but a constant of proportionality with respect to distance.
Tenets:
(1) Although gravity affects the relative motion of objects in the universe, it does not slow down the expansion of the universe.
(2) The temporal dimension is finite, exhibits positively curved Non-Euclidean geometry and is bounded by beginning and ending points.
(3) Our universe comprises the outside four-dimensional surface of a five-dimensional sphere. At any instant in time, our universe exists as the outside three-dimensional surface of a four-dimensional sphere.
(4) The size of the universe as a function of time follows Simple Harmonic Motion.
In order to demonstrate the behavioral mechanics of our universe a model of a much simpler universe will be employed. This model universe consists of one spatial dimension and one of time. The relationship of the physical characteristics between the one spatial dimension in the model and the three spatial dimensions of our universe is direct. [1] The model represents an in depth view of one of our universes"'" three spatial dimensions.
The one spatial dimension in our model universe exists, at any instant, as the outside perimeter of a circle. Although this is one-dimensional space, it is bent into positively curved Non-Euclidean geometry. This bend (one time) [1] is at right angles to the direction of space. This circle is subscribed upon the outside of a three-dimensional sphere. Time is also bent (one time) at right angles to its"'" direction. It too exists on this three-dimensional sphere, but unlike the spatial dimension, it has beginning and ending points.
The one spatial dimension in our model universe exists, at any instant, as the outside perimeter of a circle. Although this is one-dimensional space, it is bent into positively curved Non-Euclidean geometry. This bend (one time) [1] is at right angles to the direction of space. This circle is subscribed upon the outside of a three-dimensional sphere. Time is also bent (one time) at right angles to its"'" direction. It too exists on this three-dimensional sphere, but unlike the spatial dimension, it has beginning and ending points. These two physical dimensions exist at right angles to one another but are curved or bent in the same direction (towards the center of the sphere)
[see illustration]
Time and Space co-exist at right angles to one another on the surface of a three-dimensional sphere. Time follows the curved surface of the sphere from a beginning point equating to the big bang to a point to an ending point – the big crunch. Space is finite, boundless and expanding as time progresses to the midpoint where it reaches it maximum size. From here it contracts until the reaching the big crunch.
The size of the universe as a function of time follows simple harmonic motion.
The image can be seen here: www.geocities.com/predictionsarchive/
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Re: Cosmology
Thu, January 3, 2008 - 4:32 PMPerhaps this does not exactly qualify as a mathematical proof, but it is kind of how I started thinking about an alternative big bang model...
Everyone is familiar with the balloon analogy in big bang theory. We picture a balloon that has galaxies and stellar objects drawn on its surface, and as it is blown up the distance between the galaxies increases. This is a 2d model of how our universe is expanding. In this model, we see the balloon expanding in a direction (outward) that is at right angles to the two spatial dimensions of the balloons surface. This causes objects on the surface to recede from one another, but this is simply a side effect of the expansion of the universe itself. One of the basic concepts in the science of motion is that forces that act at right angles to one another have no affect on each other. If we take the balloon analogy to be representative of the universe we live in, then we must conclude that gravity cannot affect the expansion of the universe itself. It acts at right angles to the direction in which the universe is expanding.
Maybe this is a gross oversimplification. Maybe the balloon analogy is not really how our universe works. But because the implications of gravity not slowing down the expansion of the universe are so great, I think cosmologists should to at least examine the simple harmonic universe model as it takes this into account. To my knowledge, no other cosmological model claims as one of its tenets that gravity is not affecting the expansion of the universe.
