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Thread: Sphere Theory Explains Cosmic Expansion Increase Five Billion Years Ago

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    Sphere Theory Explains Cosmic Expansion Increase Five Billion Years Ago

    This ATM shows that the perceived change in acceleration of the universe, at about 5 billion light years, can be explained by the gravity between two universes. The acceleration of gravity, of our Hubble Sphere universe, increases as we get farther from the center of our Hubble Sphere universe linearly, the gravity from our adjacent Hubble Sphere universes decreases by the square of the distance from the center of that Hubble Sphere universe. The point at which these two accelerations, of gravity, become equal, is at 5.27 billion light years from the center of the universe. It is hypothesized here, that if the observed change in the rate of expansion of the universe occurs at exactly 5.27 billion light years from the center of the universe.
    2.0 Calculations
    We define the gravitational force of a symmetrical, uniformly dense sphere, to be 1 at its surface. As we move towards the center of the sphere, the gravitational force decreases linearly to zero at the center. As we move out from the sphere the gravitational force decreases by the inverse of the radius.
    If we have two spheres adjacent at what point does the gravitational force from one sphere, as it decreases by the inverse of the radius, be equal and opposite to the linear decrease to the center of the other sphere. The fraction at which this occurs is calculated as follows.







    at 0.618033988749895 from the edge of a spherical contact between two universes would be 5.27 billion light years from the center of one universe for a universe that is a Hubble Sphere Universe of 13.8 billion light years. It is proposed that this may be why a change in the expansion rate of the universe occurs at 5 billion light years as described in the following article in scientific american. https://www.scientificamerican.com/a...s-then-speeds/
    Last edited by Copernicus; 2018-Dec-13 at 01:01 AM.
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    Quote Originally Posted by Copernicus View Post
    This ATM shows that the perceived change in acceleration of the universe, at about 5 billion light years, can be explained by the gravity between two universes. ...
    The ATM does not show that, Copernicus. The ATM is a story that with little physics and some errors

    An expanding universe expands the same at every point so there is no center of the universe.
    We do not know if the universe is finite or infinite. The evidence says extremely larger than the observable universe and hints at infinite.
    The acceleration of the expansion of the universe is similar no matter what direction we measure it.

    The Expanding Universe: From Slowdown to Speed Up asks a question "But has the cosmic expansion been speeding up throughout the lifetime of the universe, or is it a relatively recent development— that is, occurring within the past five billion years or so?".

    That article is a reprint of a 2004 article in 2008. We know more now. Dark energy
    As of 2013, the Lambda-CDM model is consistent with a series of increasingly rigorous cosmological observations, including the Planck spacecraft and the Supernova Legacy Survey. First results from the SNLS reveal that the average behavior (i.e., equation of state) of dark energy behaves like Einstein's cosmological constant to a precision of 10%.[18] Recent results from the Hubble Space Telescope Higher-Z Team indicate that dark energy has been present for at least 9 billion years and during the period preceding cosmic acceleration.
    Last edited by Reality Check; 2018-Dec-13 at 02:36 AM.

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    Quote Originally Posted by Reality Check View Post
    The ATM does not show that, Copernicus. The ATM is a story that with little physics and some errors

    An expanding universe expands the same at every point so there is no center of the universe.
    We do not know if the universe is finite or infinite. The evidence says extremely larger than the observable universe and hints at infinite.
    The acceleration of the expansion of the universe is similar no matter what direction we measure it.

    The Expanding Universe: From Slowdown to Speed Up asks a question "But has the cosmic expansion been speeding up throughout the lifetime of the universe, or is it a relatively recent development— that is, occurring within the past five billion years or so?".

    That article is a reprint of a 2004 article in 2008. We know more now. Dark energy
    I'm pretty sure that if earth was at close to the center of the universe it would also explain why everything is moving away from us. If the earth was within 300 million light years from the center of the universe that this would like 2.4 or 2.5 sigma, which would not really be that uncommon. Like one out of 50 chances.
    I can't say that I really understand the lamda model but it supposedly occurred about 5 billion years ago with dark energy. Which is still just a place holder, although the best place holder we have right now. https://en.wikipedia.org/wiki/Accele...f_the_universe
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    Quote Originally Posted by Copernicus View Post
    I'm pretty sure that if earth was at close to the center of the universe it would also explain why everything is moving away from us
    That is not what the universe does in cosmology or even general physics. A basic premise in physics is that the Earth is not a special place and we find that Earth is one of maybe billions of planets in the universe, orbiting a minor star on the outskirts of an ordinary galaxy.

    This is the Lambda-CDM model. Lambda does not appear 5 billion years ago. Your sources do not state that. Dark energy has been present for at least 9 billion years. The Wikipedia article is slightly wrong. The cosmological constant and thus dark energy has always been present. What happened is that the universe expanded until the acceleration caused by dark energy became dominant. Scale factor (cosmology).
    Last edited by Reality Check; 2018-Dec-13 at 03:30 AM.

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    Quote Originally Posted by Reality Check View Post
    That is not what the universe does in cosmology or even general physics. A basic premise in physics is that the Earth is not a special place and we find that Earth is one of maybe billions of planets in the universe, orbiting a minor star on the outskirts of an ordinary galaxy.
    This is the Lambda-CDM model. Lambda does not appear 5 billion years ago. Your sources do not state that.
    The dark energy dominated phase started 5 billion years ago. I'm just proposing that if there are adjacent universes the pull from the next universe equals the pull from our universe at 5.27 billion light years. I also imagine that universes on the other side of the adjacent universe also pull but the pull would be weaker. I'm suggesting it could be superimposed on what ever the main driver of the appearance of expansion is. I also find it very interesting that this result gives the value for the golden ratio.
    Last edited by Copernicus; 2018-Dec-13 at 03:36 AM.
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    Quote Originally Posted by Copernicus View Post
    As we move out from the sphere the gravitational force decreases by the inverse of the radius.
    Inverse square.



    So I assume you have made that error deliberately to come up with this numerology?

    at 0.618033988749895 from the edge of a spherical contact between two universes would be 5.27 billion light years from the center of one universe for a universe that is a Hubble Sphere Universe of 13.8 billion light years.
    The radius of the observable universe is about 45 billion light years. There is no reason to think the universe suddenly stops there.

    Quote Originally Posted by Copernicus View Post
    I'm pretty sure that if ...

    I can't say that I really understand the lamda model but ...
    Do you see a problem here?

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    Quote Originally Posted by Strange View Post
    Inverse square.



    So I assume you have made that error deliberately to come up with this numerology?



    The radius of the observable universe is about 45 billion light years. There is no reason to think the universe suddenly stops there.



    Do you see a problem here?
    Hi Strange, you are correct, I worded this incorrectly. By the way, thanks for pointing that out. It is calculated correctly however. You can see I worded correctly in the first paragraph. "The acceleration of gravity, of our Hubble Sphere universe, increases as we get farther from the center of our Hubble Sphere universe linearly, the gravity from our adjacent Hubble Sphere universes decreases by the square of the distance from the center of that Hubble Sphere universe. "
    Also, if the universe is not actually expanding, we only see 13.8 billion light years out. I don't know what the new physics for that would be. But there are many things we can't define correctly so there must be some new physics we don't know. We have not seen dark matter or dark energy and there is disagreement on the Hubble constant.
    Last edited by Copernicus; 2018-Dec-13 at 06:21 PM. Reason: added thanks
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    Quote Originally Posted by PetersCreek View Post
    Closed pending moderator discussion.
    Thread re-opened

    Quote Originally Posted by Copernicus View Post
    This ATM shows that the perceived change in acceleration of the universe, at about 5 billion light years, can be explained by the gravity between two universes. The acceleration of gravity, of our Hubble Sphere universe, increases as we get farther from the center of our Hubble Sphere universe linearly, the gravity from our adjacent Hubble Sphere universes decreases by the square of the distance from the center of that Hubble Sphere universe. The point at which these two accelerations, of gravity, become equal, is at 5.27 billion light years from the center of the universe. It is hypothesized here, that if the observed change in the rate of expansion of the universe occurs at exactly 5.27 billion light years from the center of the universe.
    2.0 Calculations
    We define the gravitational force of a symmetrical, uniformly dense sphere, to be 1 at its surface. As we move towards the center of the sphere, the gravitational force decreases linearly to zero at the center. As we move out from the sphere the gravitational force decreases by the inverse of the radius.
    If we have two spheres adjacent at what point does the gravitational force from one sphere, as it decreases by the inverse of the radius, be equal and opposite to the linear decrease to the center of the other sphere. The fraction at which this occurs is calculated as follows.





    You're missing the solution at y=1

    So there are three zero points, and the value doesn't deviate much from zero between them. However, outside of 0 and 2, the two values augment, away from the center of the universe--and things get even more complicated in the second dimension.

    Not that we should expect the "second universe" to coincidentally have such a simple three dimensional relationship.
    at 0.618033988749895 from the edge of a spherical contact between two universes would be 5.27 billion light years from the center of one universe for a universe that is a Hubble Sphere Universe of 13.8 billion light years. It is proposed that this may be why a change in the expansion rate of the universe occurs at 5 billion light years as described in the following article in scientific american. https://www.scientificamerican.com/a...s-then-speeds/
    In the article, the value seems to be five billion years, not five billion light years.

    Be careful of random coincidences (especially if they only apply along the radius between the two, as in this case, and not throughout the space.

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    Quote Originally Posted by grapes View Post
    Thread re-opened


    You're missing the solution at y=1

    So there are three zero points, and the value doesn't deviate much from zero between them. However, outside of 0 and 2, the two values augment, away from the center of the universe--and things get even more complicated in the second dimension.

    Not that we should expect the "second universe" to coincidentally have such a simple three dimensional relationship.

    In the article, the value seems to be five billion years, not five billion light years.

    Be careful of random coincidences (especially if they only apply along the radius between the two, as in this case, and not throughout the space.
    The 5 billion years could be coincidence. Maybe, most likely, it is coincidence. But the weird thing is that nobody ever noticed the relationship between two adjacent bodies and their attractive forces, that leads to the golden ratio. As far as I know, no one has ever shown a mechanism for the golden ratio in nature.
    Also, if there are equal sized universes, it possibly shows that these forces of gravity between these two bodies, or surrounding bodies, could have an effect on the red-shift of light. Although my proposal is that our universe would be surrounded by 12 universes in a cuboctahedron structure, and I could not begin to know how to calculate the different nodes from those 12 universes, or the next layer of 42 universes and the nodes that they would create in the red-shift or CMB, and how much, the magnitudes of affects on the red-shift the affect this would have on the red-shift or CMB, compared to the the other causes of the red-shift.
    Any how, I think this is definitely interesting that the relationship is the golden ratio. As far as the golden ratio in nature, I don't know if its manifestation would be from adjacent spheres exhibiting charge, gravity, weak force, or strong force.
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    I should mention that, gravity, from all of the universes outside of our universe, would be a force that would stretch out light, and make it red shifted in all directions from our position in space.
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    Quote Originally Posted by Copernicus View Post
    The dark energy dominated phase started 5 billion years ago. I'm just proposing that if there are adjacent universes the pull from the next universe equals the pull from our universe at 5.27 billion light years. I also imagine that universes on the other side of the adjacent universe also pull but the pull would be weaker. I'm suggesting it could be superimposed on what ever the main driver of the appearance of expansion is. I also find it very interesting that this result gives the value for the golden ratio.
    So further than 5 and a bit billion ly away we see things moving away from us more slowly than we expect from looking close by. And you propose that this slowdown along our line of sight is somehow linked to an increasing force of gravity due to other universes? How does that work? You'd expect the exact opposite - that near to us outwards speeds would be slower (more dominated by our gravity) and as you move closer to other universes this speed would increase as matter becomes more dominated by attraction to these other universes.

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    Quote Originally Posted by Shaula View Post
    So further than 5 and a bit billion ly away we see things moving away from us more slowly than we expect from looking close by. And you propose that this slowdown along our line of sight is somehow linked to an increasing force of gravity due to other universes? How does that work? You'd expect the exact opposite - that near to us outwards speeds would be slower (more dominated by our gravity) and as you move closer to other universes this speed would increase as matter becomes more dominated by attraction to these other universes.
    So good point Shaula. I did not know if the speed was going up or down. I am still trying to wrap my head around this. I was thinking that at 5 billion light years, or so, there would be a node where the adjacent spheres pull, would be equal to the gravitational force of the sphere. After that the point, 5 billion light years to the edge of the universe, our universe would be overcoming the force of the adjacent universe. So I actually believe we would see the expansion slowing down at that point.
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    Quote Originally Posted by Copernicus View Post
    So good point Shaula. I did not know if the speed was going up or down. I am still trying to wrap my head around this. I was thinking that at 5 billion light years, or so, there would be a node where the adjacent spheres pull, would be equal to the gravitational force of the sphere. After that the point, 5 billion light years to the edge of the universe, our universe would be overcoming the force of the adjacent universe. So I actually believe we would see the expansion slowing down at that point.
    Ignore my objection - I did the maths. In my morning post I think I had the force from our universe decreasing instead of increasing.

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    I should mention that magnetism or Vanderwalls forces might be involved in The Golden ratio. I did find a reference for a magnetic propertu causing the golden ratio.
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    Quote Originally Posted by grapes View Post
    Thread re-opened


    You're missing the solution at y=1

    So there are three zero points, and the value doesn't deviate much from zero between them. However, outside of 0 and 2, the two values augment, away from the center of the universe--and things get even more complicated in the second dimension.

    Not that we should expect the "second universe" to coincidentally have such a simple three dimensional relationship.

    In the article, the value seems to be five billion years, not five billion light years.

    Be careful of random coincidences (especially if they only apply along the radius between the two, as in this case, and not throughout the space.
    Hi Grapes, you are correct. There is the zero point at one, which I meant to include, but did not. Thanks for pointing that out.
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    Quote Originally Posted by Copernicus View Post
    I should mention that magnetism or Vanderwalls forces might be involved in The Golden ratio. I did find a reference for a magnetic propertu causing the golden ratio.
    Physics causing maths? That seems backwards.

    Grant Hutchison

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    Quote Originally Posted by grant hutchison View Post
    Physics causing maths? That seems backwards.

    Grant Hutchison
    Just statics and mechanics. I can't say that movement isn't an illusion. It is all so confusing, that anything exists at all.
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    I should mention that the model I proposed also supports the appearance that the expansion of the universe is increasing in rate if we are observing close to the center of the universe since the gravitational affect of our universe gets less and less as we get closer the the center of our universe.
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    So to summarize. The adjacent spheres explain the following observations about the universe.

    1. The prevalence of the Golden Ratio
    2. The appearance of the speed of of acceleration increasing of the universe at about 5 billion to 6 billion years ago.
    3. The continuing appearance of acceleration of the universe the last 5 billion to 6 billion years ago.
    4. The redshifting of light coming from gravitational affects outside of our universe, and therefore the universe isn't expanding at all.
    5. It is all done with known physical laws, that don't require dark energy. Note we had to make up dark energy to explain the accelerating expansion.
    All we have to do is to give up the Copernican principle https://en.wikipedia.org/wiki/Copernican_principle . We may be close to the center of our universe.
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    Quote Originally Posted by Copernicus View Post
    I'm pretty sure that if earth was at close to the center of the universe it would also explain why everything is moving away from us. If the earth was within 300 million light years from the center of the universe that this would like 2.4 or 2.5 sigma, which would not really be that uncommon. Like one out of 50 chances.
    I can't say that I really understand the lamda model but it supposedly occurred about 5 billion years ago with dark energy. Which is still just a place holder, although the best place holder we have right now. https://en.wikipedia.org/wiki/Accele...f_the_universe
    I calculated this incorrectly because the universe is a volume and not a straight line, so the chances of us being at the center of a 300 million light year sphere, would actually be much less.
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    Woah, woah, woah. Before you start clearing space on your mantelpiece for a Nobel lets have a little reality check here.

    Quote Originally Posted by Copernicus View Post
    So to summarize. The adjacent spheres explain the following observations about the universe.
    1. The prevalence of the Golden Ratio
    What prevalence? It shows up in some systems where you have a dependence on Fibonacci series and in some where there is an E8 symmetry group. It is not like we are seeing it everywhere and need an explanation. Also - you have not explained this claimed prevalence at all. You have said "it shows up as one solution of my ideas about gravity ergo it must be everywhere". You have explained nothing and just made a series of handwavey guesses.

    Quote Originally Posted by Copernicus View Post
    2. The appearance of the speed of of acceleration increasing of the universe at about 5 billion to 6 billion years ago.
    3. The continuing appearance of acceleration of the universe the last 5 billion to 6 billion years ago.
    Actually no. You have shown precisely one thing so far. That if you have two spherical masses of a certain size then you get a point where their gravity cancels out at about 5bly from the centre of one along the line connecting their centres. The signs for the mean gravitational force on a test particle do match the signs for the rate of acceleration of expansion but, lets be honest here, you didn't show that. You guessed and I showed myself this.

    Quote Originally Posted by Copernicus View Post
    4. The redshifting of light coming from gravitational affects outside of our universe, and therefore the universe isn't expanding at all.
    You have not shown this at all. You have stated it. And as an idea it has just as many issues as any other tired light idea based on gravity. Some of the minor issues are that the shape of the gravitational acceleration doesn't match the redshifts we see (this is pretty obvious if you do the maths on it), the size of the effect we observe is completely at odds with the proposed strength of the gravitational field and that we see the redshift going to infinity as we look back - whereas you have it going to zero. Slight contradiction there. This statement that you have 'explained' redshift can be taken as a completely false claim on your behalf.

    Quote Originally Posted by Copernicus View Post
    5. It is all done with known physical laws, that don't require dark energy. Note we had to make up dark energy to explain the accelerating expansion.
    All we have to do is to give up the Copernican principle https://en.wikipedia.org/wiki/Copernican_principle . We may be close to the center of our universe.
    You have not shown anything using current physical laws. At all. You have not done order of magnitude calculations, you have not established any observations or dependencies these claims have.

    I haven't chipped in on this thread much precisely because so far you have shown nothing more than something about packed spheres. There isn't any actual physics to discuss here and you have steadily made increasingly grandiose claims based on guesses. I challenged you on one point, a challenge I freely admit turned out to be wrong because I went with what I guessed was right. Bad me. Always do the maths. Your response was "I was thinking that at 5 billion light years, or so, there would be a node where the adjacent spheres pull, would be equal to the gravitational force of the sphere. After that the point, 5 billion light years to the edge of the universe, our universe would be overcoming the force of the adjacent universe. So I actually believe we would see the expansion slowing down at that point." It took me ten minutes to prove myself wrong using your first post and a spreadsheet.

    So I guess the TLDR is that so far you have actually shown almost nothing, and certainly not shown that your ideas have any physical significance or relevance to cosmology. Instead you have focused on building castles on sand by making increasingly grand but false claims about what you have explained. If you want to be even vaguely convincing you need to go back and show that what you are proposing produces the observations we have. Which should be pretty trivial, mathematically.

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    Quote Originally Posted by Shaula View Post
    Woah, woah, woah. Before you start clearing space on your mantelpiece for a Nobel lets have a little reality check here.


    What prevalence? It shows up in some systems where you have a dependence on Fibonacci series and in some where there is an E8 symmetry group. It is not like we are seeing it everywhere and need an explanation. Also - you have not explained this claimed prevalence at all. You have said "it shows up as one solution of my ideas about gravity ergo it must be everywhere". You have explained nothing and just made a series of handwavey guesses.


    Actually no. You have shown precisely one thing so far. That if you have two spherical masses of a certain size then you get a point where their gravity cancels out at about 5bly from the centre of one along the line connecting their centres. The signs for the mean gravitational force on a test particle do match the signs for the rate of acceleration of expansion but, lets be honest here, you didn't show that. You guessed and I showed myself this.


    You have not shown this at all. You have stated it. And as an idea it has just as many issues as any other tired light idea based on gravity. Some of the minor issues are that the shape of the gravitational acceleration doesn't match the redshifts we see (this is pretty obvious if you do the maths on it), the size of the effect we observe is completely at odds with the proposed strength of the gravitational field and that we see the redshift going to infinity as we look back - whereas you have it going to zero. Slight contradiction there. This statement that you have 'explained' redshift can be taken as a completely false claim on your behalf.


    You have not shown anything using current physical laws. At all. You have not done order of magnitude calculations, you have not established any observations or dependencies these claims have.

    I haven't chipped in on this thread much precisely because so far you have shown nothing more than something about packed spheres. There isn't any actual physics to discuss here and you have steadily made increasingly grandiose claims based on guesses. I challenged you on one point, a challenge I freely admit turned out to be wrong because I went with what I guessed was right. Bad me. Always do the maths. Your response was "I was thinking that at 5 billion light years, or so, there would be a node where the adjacent spheres pull, would be equal to the gravitational force of the sphere. After that the point, 5 billion light years to the edge of the universe, our universe would be overcoming the force of the adjacent universe. So I actually believe we would see the expansion slowing down at that point." It took me ten minutes to prove myself wrong using your first post and a spreadsheet.

    So I guess the TLDR is that so far you have actually shown almost nothing, and certainly not shown that your ideas have any physical significance or relevance to cosmology. Instead you have focused on building castles on sand by making increasingly grand but false claims about what you have explained. If you want to be even vaguely convincing you need to go back and show that what you are proposing produces the observations we have. Which should be pretty trivial, mathematically.
    Thanks for waking me up. I do wonder about the high Z values at the edge of the universe. I also wonder how would gravity travel just through the points of contact at a cuboctahedron packing of spheres. It would require almost an infinite amount of gravitons traveling through the same point. No way to prove that this is possible.I would think, that if the gravitons do travel through these points, that at close to the edge of this model of the universe, the gravitons would have to go through a very high acceleration to change direction so that they could go through that point. I don't have the ability to prove any of these things. Hopefully, this relationship, will help someone who is studying the multiverse. I don't really have anymore to add to this ATM thread.
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    Quote Originally Posted by Copernicus View Post
    We define the gravitational force of a symmetrical, uniformly dense sphere, to be 1 at its surface. As we move towards the center of the sphere, the gravitational force decreases linearly to zero at the center. As we move out from the sphere the gravitational force decreases by the inverse of the radius.

    If we have two spheres adjacent[,] at what point does the gravitational force from one sphere, as it decreases by the inverse of the radius, be equal and opposite to the linear decrease to the center of the other sphere[?]


    The setup and posing of this question is super convoluted. The first sentence in red is simply wrong. As you move out from the sphere, the gravitational force decreases by the inverse square of the distance from the sphere, NOT the "inverse of the radius."

    BTW, the question you're trying to pose is for a super-special case, while there are practically an infinite number of other cases that you do not address. Your special case is the one where the "point of equality" is necessarily on the line between the centers of the two adjacent spheres (of uniform mass).

    Discarding the cosmological claim (since "centers" and "edges" are inapplicable in a cosmological context), and taken as purely a mathematical problem involving two equal and adjacent spherical masses, you do not seem to have done the math correctly. At least, I certainly can't follow it. (BTW, doesn't 1+1=2?) Please show all the steps in your calculation. And where the heck does come from?

    The fraction at which this occurs is calculated as follows.

    1+1-y=



    Last edited by Cougar; 2018-Dec-29 at 03:33 PM.
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    Quote Originally Posted by Copernicus View Post
    Thanks for waking me up. I do wonder about the high Z values at the edge of the universe. I also wonder how would gravity travel just through the points of contact at a cuboctahedron packing of spheres. It would require almost an infinite amount of gravitons traveling through the same point. No way to prove that this is possible.I would think, that if the gravitons do travel through these points, that at close to the edge of this model of the universe, the gravitons would have to go through a very high acceleration to change direction so that they could go through that point.
    The hypothesis that its all down to rainbow fairies using winged unicorns to sprinkle sparkle magic on a universe shaped like a teapot has precisely as much evidence and scientific rigour behind it as this kind of continued speculation.

    I'm really not sure what you hoped to achieve here - honestly the ongoing speculation you have added beyond the initial post has destroyed any credibility that your initial ideas had. If you had developed that idea further, looking at dark energy effects and how your ideas linked in to that, this might have had some potential as an ATM idea. As things stand you've had an idea and leapt directly to unsupported claims and technobabble you have no justification for. It always saddens me to see this happen because it reinforces the negative stereotypes of ATM proposals and makes them very easy to dismiss as an exercise in futility.

  26. #26
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    Quote Originally Posted by Cougar View Post


    The setup and posing of this question is super convoluted. The first sentence in red is simply wrong. As you move out from the sphere, the gravitational force decreases by the inverse square of the distance from the sphere, NOT the "inverse of the radius."

    BTW, the question you're trying to pose is for a super-special case, while there are practically an infinite number of other cases that you do not address. Your special case is the one where the "point of equality" is necessarily on the line between the centers of the two adjacent spheres (of uniform mass).

    Discarding the cosmological claim (since "centers" and "edges" are inapplicable in a cosmological context), and taken as purely a mathematical problem involving two equal and adjacent spherical masses, you do not seem to have done the math correctly. At least, I certainly can't follow it. (BTW, doesn't 1+1=2?) Please show all the steps in your calculation. And where the heck does come from?
    Hi Cougar, You are right. It should read, that when one reaches the edge of the sphere, the gravitational strength decreases proportional to the inverse square of the distance from the center of the sphere. Inside the sphere, for a uniform sphere, the gravitational strength decreases proportional to the radius. At the center of an individual sphere, the gravity is zero.
    The moment an instant lasted forever, we were destined for the leading edge of eternity.

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    Hi Cougar,

    I can rewrite the equation. Assume gravity at the edge of the sphere is equal to one. The force from the one sphere decreases to the inverse square from the radius.

    r is the distance from the center of inside the sphere.

    G=1/(2-r)^2 for the other sphere the gravity decreases toward the center of the sphere. G=r

    If I set r=1/(2-r)^2 which is the points where there gravitational affects cancel out.

    I get the points

    r=1, 0.381966011250105, and 2.61803398874989

    So if I say, how far is r from the center of the sphere where we were calculating the gravitational affect using the inverse square law

    it is 1, phi, and -1/phi

    I hope this helps.
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    I will try to come up with approximate z values using the adjacent sphere model. It may take a few days.
    The moment an instant lasted forever, we were destined for the leading edge of eternity.

  29. #29
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    Quote Originally Posted by Copernicus View Post
    I will try to come up with approximate z values using the adjacent sphere model. It may take a few days.

    no, sorry, you are just making it up on the go, you kknow the rules, this is not a place to develop your ideas.
    thread closed
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