snowflakeuniverse
13-September-2005, 03:27 PM
My (Discovered) Uniform Expansion Model – Applied
This is a continuation of a posting began in June 26 2005. (http://www.bautforum.com/showthread.php?t=18805)
The primary goal of this renewed thread is to show how this model makes predictions or mathematically describes nature. If the reader has not already seen this original post, it is recommended to look over the text but it is not necessary as most of the ideas are summarized here.
Since so much time has passed, and because the newly merged Forum mixes together a whole new cast of characters, a brief explanation of my model is in order. Once that is done I will respond to Nereid, who placed the last posting on the above thread. (Nereid’s questions involved the application of the theory). (A am sorry for the delay in response, but I work 7 days a week during the summer, presently I have 2 or 3 days a week in which I can respond to postings).
Review
Key Premises of Uniform Expansion Model
1. It is proposed that the expansion of Spacetime is uniform, meaning that matter itself expands with the expansion of spacetime.
2. Spacetime itself is in motion due to expansion along an “unobserved” dimension. (Just as a Flatland universe can be visualized moving in an unobserved “vertical” dimension, our spacetime is similarly in motion due to expansion along an unobserved dimension.
3. This expansion conforms to a specific geometric relationship. (Briefly, an enclosed arbitrary volume of space, (including the “objects” contained in that bounded volume), will increase to the square of the “absolute” time elapsed. Double the age of the universe and the “absolute” volume increases 4 times, apparently very simple geometry).
4. There are “absolute” and “relative” measures of reality. All Relative measures of distance and time are maintained in the proposed uniformly expanding spacetime field but from an “absolute” or “eye of God” perspective outside the expansion, it is possible to describe how spacetime is expanding. The reader can visualize such an “Eye of God” perspective by imagining an 18-inch pizza next to an 18-inch ruler. Over time, the Pizza and the ruler are proposed to expand, maintaining their relative measures. From the readers perspective it is possible to visualize how the Pizza and Ruler expanded.
The basic formulas
The following formulas describe the properties of a point in “Absolute” space. These are essentially “field equations” that describe the physical behavior of objects from the “Eye of God” perspective. At the sake of being too repetitive, all relative or local measures will proportionally remain the same.
Notation
D = Distance measure between points in an expanding spacetime field,
V = Velocity of a point on an object,
A = Acceleration of a point on an object,
E = Energy.
Capitol letters indicate “absolute measures”, 1 and 2 are earlier and later measures respectively.
The Ratios of Time
D1/D2 == (T1/T2)^(2/3)
V2/V1 == (T1/T2)^(1/3)
A2/A1 == (T1/T2)^(4/3)
E2/E1 == (T1/T2)^(2/3)
The derivation and a discussion of these formulas are included in the posting of June 6.
Fundamental predictions of the Model
1. Gravity diminishes at a predictable rate with the passage of time. If an object is uniformly expanded, as well as all the surrounding rulers, distance measures remain proportionally the same. This observation has usually been argued to “prove” that such an expansion is trivial. However, density is diminishing with the passage of time, which means the effect of gravity is diminishing.
Example, .
If the mass of the Earth were confined to a region of space in which the radius of the Earth was 1/2 of what it is today, the effect of gravity on the surface of the Earth would increase 4 times. This model asserts that the effect of gravity was more powerful in the past and is diminishing over time. Similar effects are predicted for the electromagnetic forces within an atom.
2. The inverse square law is predicted as a property of spacetime. Newton’s Gravitational “Law”, which is observationally determined, is predicted as a property of spacetime.
3. The Principles of Conservation of Energy and Momentum are geometrically predicted. These important principles have been observationally determined, the Uniform Expansion model predicts these principles as a result of geometry.
4. No dark matter, no super massive black holes and no dark energy. The application of the gravitational relationships proposed on a cosmological scale eliminates the necessity for some of the wildest ideas currently in vogue in cosmology today.
5. Resolves problems with the Big Bang Model. Briefly, a few of the inconsistencies this model can resolve are:
a. The energy variation from the output from quasars shows little evidence of correlating to red shift. This was an issue that the famous physicist Steven Hawkins felt threatened the present understanding of the Bag Bang Model. This was discussed in this forum at this thread. http://www.bautforum.com/showthread.php?t=11559&highlight=energy+variation+quasars
b. The observed angular size of radio galaxies does not conform to theoretical predictions of the expansion rates predicted by the Big Bang Model.
c. The age problem in which some stars in globular clusters appear to be older than the universe.
d. The discovery of galaxies with high red shifts leaves little time for these galaxies to form, given the assumed experiential age of the universe. This is compounded by the observation of heavy elements or “metals” which require stars to have lived an entire lifetime before the presently observed stars existed. The metalicity issue is also true for high red shifted quasars.
The Dimensions of Spacetime
Dimensions are defined by change. If you can describe how something changes, that description is using a dimensional measure. Admittedly this is an unconventional definition for a dimension but it is consistent with the proposed model. Fundamental dimensions are unique, and this model proposes additional fundamental dimensional measures beyond the conventional three spatial and 1 temporal dimension.
Two of the additional dimensions are Absolute distance and absolute time, which will be the primary focus in this section. However, the very general definition for dimension used here results in more dimensional measures. For example, the dimensional distance measure used to express gravitational relationships is different from the dimensional distance measure used to describe distance relationships for electromagnetic relationships in the atom. These two dimensional measures can be directly transformed one to the other by a scale factor combined with a positive or negative sense. The necessity for indicating a positive or negative value for electromagnetic relationships helps in justifying the concept that electromagnetic relationships are correlated to an additional dimensional volume of spacetime. But I digress.
1. Absolute distance. This model requires the establishment of an “absolute” ruler to describe the expansion of the “relative” rulers. All “relative” or local measures of distance maintain their proportional measure. It is from the “absolute” measure of distance that the expansion of relative measures of distance can be described.
Example.
An object is 1000 meters across today, how much smaller was the object when the universe was 1/2 the present age of the universe?
The formula that describes how Absolute distance measures change over time is
D1/D2 == (T1/T2)^(2/3)
D1 and D2 are “earlier” and “later” absolute distance measures, respectively.
T1 and T2 are Absolute measures of time that describe a point’s historical location. The beginning of time is the “zero” point in time and all points after that have a “unique” moment in history.
D1/D2 == (T1/T2)^(2/3) = (1/2)^(2/3) = (1/2)^(2/3) = .63
If the object is 1,000 meters in diameter now, it was 630 ‘absolute’ meters in diameter in the past.
Note that the “present” size was used to describe the relative change in size. This “present” size is “fixed” in order to describe the change in distance measures in the past. This allows the creation of a “temporary” “absolute” ruler to describe how relative rulers change over time.
Continued.
This is a continuation of a posting began in June 26 2005. (http://www.bautforum.com/showthread.php?t=18805)
The primary goal of this renewed thread is to show how this model makes predictions or mathematically describes nature. If the reader has not already seen this original post, it is recommended to look over the text but it is not necessary as most of the ideas are summarized here.
Since so much time has passed, and because the newly merged Forum mixes together a whole new cast of characters, a brief explanation of my model is in order. Once that is done I will respond to Nereid, who placed the last posting on the above thread. (Nereid’s questions involved the application of the theory). (A am sorry for the delay in response, but I work 7 days a week during the summer, presently I have 2 or 3 days a week in which I can respond to postings).
Review
Key Premises of Uniform Expansion Model
1. It is proposed that the expansion of Spacetime is uniform, meaning that matter itself expands with the expansion of spacetime.
2. Spacetime itself is in motion due to expansion along an “unobserved” dimension. (Just as a Flatland universe can be visualized moving in an unobserved “vertical” dimension, our spacetime is similarly in motion due to expansion along an unobserved dimension.
3. This expansion conforms to a specific geometric relationship. (Briefly, an enclosed arbitrary volume of space, (including the “objects” contained in that bounded volume), will increase to the square of the “absolute” time elapsed. Double the age of the universe and the “absolute” volume increases 4 times, apparently very simple geometry).
4. There are “absolute” and “relative” measures of reality. All Relative measures of distance and time are maintained in the proposed uniformly expanding spacetime field but from an “absolute” or “eye of God” perspective outside the expansion, it is possible to describe how spacetime is expanding. The reader can visualize such an “Eye of God” perspective by imagining an 18-inch pizza next to an 18-inch ruler. Over time, the Pizza and the ruler are proposed to expand, maintaining their relative measures. From the readers perspective it is possible to visualize how the Pizza and Ruler expanded.
The basic formulas
The following formulas describe the properties of a point in “Absolute” space. These are essentially “field equations” that describe the physical behavior of objects from the “Eye of God” perspective. At the sake of being too repetitive, all relative or local measures will proportionally remain the same.
Notation
D = Distance measure between points in an expanding spacetime field,
V = Velocity of a point on an object,
A = Acceleration of a point on an object,
E = Energy.
Capitol letters indicate “absolute measures”, 1 and 2 are earlier and later measures respectively.
The Ratios of Time
D1/D2 == (T1/T2)^(2/3)
V2/V1 == (T1/T2)^(1/3)
A2/A1 == (T1/T2)^(4/3)
E2/E1 == (T1/T2)^(2/3)
The derivation and a discussion of these formulas are included in the posting of June 6.
Fundamental predictions of the Model
1. Gravity diminishes at a predictable rate with the passage of time. If an object is uniformly expanded, as well as all the surrounding rulers, distance measures remain proportionally the same. This observation has usually been argued to “prove” that such an expansion is trivial. However, density is diminishing with the passage of time, which means the effect of gravity is diminishing.
Example, .
If the mass of the Earth were confined to a region of space in which the radius of the Earth was 1/2 of what it is today, the effect of gravity on the surface of the Earth would increase 4 times. This model asserts that the effect of gravity was more powerful in the past and is diminishing over time. Similar effects are predicted for the electromagnetic forces within an atom.
2. The inverse square law is predicted as a property of spacetime. Newton’s Gravitational “Law”, which is observationally determined, is predicted as a property of spacetime.
3. The Principles of Conservation of Energy and Momentum are geometrically predicted. These important principles have been observationally determined, the Uniform Expansion model predicts these principles as a result of geometry.
4. No dark matter, no super massive black holes and no dark energy. The application of the gravitational relationships proposed on a cosmological scale eliminates the necessity for some of the wildest ideas currently in vogue in cosmology today.
5. Resolves problems with the Big Bang Model. Briefly, a few of the inconsistencies this model can resolve are:
a. The energy variation from the output from quasars shows little evidence of correlating to red shift. This was an issue that the famous physicist Steven Hawkins felt threatened the present understanding of the Bag Bang Model. This was discussed in this forum at this thread. http://www.bautforum.com/showthread.php?t=11559&highlight=energy+variation+quasars
b. The observed angular size of radio galaxies does not conform to theoretical predictions of the expansion rates predicted by the Big Bang Model.
c. The age problem in which some stars in globular clusters appear to be older than the universe.
d. The discovery of galaxies with high red shifts leaves little time for these galaxies to form, given the assumed experiential age of the universe. This is compounded by the observation of heavy elements or “metals” which require stars to have lived an entire lifetime before the presently observed stars existed. The metalicity issue is also true for high red shifted quasars.
The Dimensions of Spacetime
Dimensions are defined by change. If you can describe how something changes, that description is using a dimensional measure. Admittedly this is an unconventional definition for a dimension but it is consistent with the proposed model. Fundamental dimensions are unique, and this model proposes additional fundamental dimensional measures beyond the conventional three spatial and 1 temporal dimension.
Two of the additional dimensions are Absolute distance and absolute time, which will be the primary focus in this section. However, the very general definition for dimension used here results in more dimensional measures. For example, the dimensional distance measure used to express gravitational relationships is different from the dimensional distance measure used to describe distance relationships for electromagnetic relationships in the atom. These two dimensional measures can be directly transformed one to the other by a scale factor combined with a positive or negative sense. The necessity for indicating a positive or negative value for electromagnetic relationships helps in justifying the concept that electromagnetic relationships are correlated to an additional dimensional volume of spacetime. But I digress.
1. Absolute distance. This model requires the establishment of an “absolute” ruler to describe the expansion of the “relative” rulers. All “relative” or local measures of distance maintain their proportional measure. It is from the “absolute” measure of distance that the expansion of relative measures of distance can be described.
Example.
An object is 1000 meters across today, how much smaller was the object when the universe was 1/2 the present age of the universe?
The formula that describes how Absolute distance measures change over time is
D1/D2 == (T1/T2)^(2/3)
D1 and D2 are “earlier” and “later” absolute distance measures, respectively.
T1 and T2 are Absolute measures of time that describe a point’s historical location. The beginning of time is the “zero” point in time and all points after that have a “unique” moment in history.
D1/D2 == (T1/T2)^(2/3) = (1/2)^(2/3) = (1/2)^(2/3) = .63
If the object is 1,000 meters in diameter now, it was 630 ‘absolute’ meters in diameter in the past.
Note that the “present” size was used to describe the relative change in size. This “present” size is “fixed” in order to describe the change in distance measures in the past. This allows the creation of a “temporary” “absolute” ruler to describe how relative rulers change over time.
Continued.