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FQXi FORUM
October 24, 2019
CATEGORY:
Questioning the Foundations Essay Contest (2012)
[back]
TOPIC: The Universe That Isn’t by Malcolm Macleod [refresh]
TOPIC: The Universe That Isn’t by Malcolm Macleod [refresh]
Essay Abstract
Conventional wisdom depicts our universe as matter (particles to planets) within the vacuum of space. Nevertheless we are still not sure what matter is and we need the language of mathematics to describe it. However if we consider that matter could be the absence of space rather than space as the absence of matter, then a mathematical treatment becomes appropriate for there is no physical matter, instead matter becomes information – the universe data-set. Beginning with the Greek understanding of the number ‘1’; the electron is described in terms of dimensionless magnetic monopoles and atomic orbitals and gravitational waves as standing waves analogous to photons albeit of opposite phase. Gravitational momentum replaces gravitational force. Particles and interactions may be interpreted as the means by which a computational universe stores and manipulates data.
Author Bio
Engineer in software radio R&D. In physics the principal interest lies in the role of alpha, the fine structure constant and Planck momentum, and their relationship to the fundamental physical constants in geometrical terms. Authored a philosophical text on a mathematical universe hypothesis from the perspective of Eastern and Greek tenets.
Download Essay PDF File
Conventional wisdom depicts our universe as matter (particles to planets) within the vacuum of space. Nevertheless we are still not sure what matter is and we need the language of mathematics to describe it. However if we consider that matter could be the absence of space rather than space as the absence of matter, then a mathematical treatment becomes appropriate for there is no physical matter, instead matter becomes information – the universe data-set. Beginning with the Greek understanding of the number ‘1’; the electron is described in terms of dimensionless magnetic monopoles and atomic orbitals and gravitational waves as standing waves analogous to photons albeit of opposite phase. Gravitational momentum replaces gravitational force. Particles and interactions may be interpreted as the means by which a computational universe stores and manipulates data.
Author Bio
Engineer in software radio R&D. In physics the principal interest lies in the role of alpha, the fine structure constant and Planck momentum, and their relationship to the fundamental physical constants in geometrical terms. Authored a philosophical text on a mathematical universe hypothesis from the perspective of Eastern and Greek tenets.
Download Essay PDF File
Malcolm,
I have a difference of opinion about magnetic monopoles. Magnetic monopoles are produced everytime an EM wave is propagated, and these magnetic monopoles act just like the individual pole of a magnetic field produced in the laboratory. An experiment demonstrated that properly aligned EM fields attract and repel.
EM Fields Attract Repel
In a propagated EM field, the N and S magnetic monopoles are spatially separated, as are the plus and minus electric fields.
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I have a difference of opinion about magnetic monopoles. Magnetic monopoles are produced everytime an EM wave is propagated, and these magnetic monopoles act just like the individual pole of a magnetic field produced in the laboratory. An experiment demonstrated that properly aligned EM fields attract and repel.
EM Fields Attract Repel
In a propagated EM field, the N and S magnetic monopoles are spatially separated, as are the plus and minus electric fields.
Dear Frank,
I proposed a mathematical solution to the 'electron as magnetic monopole' based on its symmetry, geometrical simplicity (uses only tp, e, c) and it gives 12 digit Rydberg precision. If there really is a mathematical formula that can describe an electron, I offer that this must be a candidate.
As a proton must also be formed from magnetic monopoles, as must all charges, would not my photon formulas then tend to support your own EM argument?
My personal view is that our universe is simply the geometry of momentum, I refer you to an online calculator that solves the physical (mass and charge) constants as geometrical shapes in terms of Planck momentum, the fine structure constant and c.
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I proposed a mathematical solution to the 'electron as magnetic monopole' based on its symmetry, geometrical simplicity (uses only tp, e, c) and it gives 12 digit Rydberg precision. If there really is a mathematical formula that can describe an electron, I offer that this must be a candidate.
As a proton must also be formed from magnetic monopoles, as must all charges, would not my photon formulas then tend to support your own EM argument?
My personal view is that our universe is simply the geometry of momentum, I refer you to an online calculator that solves the physical (mass and charge) constants as geometrical shapes in terms of Planck momentum, the fine structure constant and c.
Malcolm,
I looked at the vixra article, "Electron as Magnetic Monopole". An electron has a substantially different structure than a propagated electric or magnetic field. Electrons have been measured to have "mass", which means it has a mechanism that allows masses to be attracted to each other. An EM field does not have mass. I do not equate a photon to be anything like an electron, even though they both may have some field characteristics that are precisely equivalent.
Propagated magnetic monopoles, N & S, and electric fields, + & -, are described by Maxwell's equations. EM fields can be attracted to each other, but this is explained by classical physics. See link in my initial reply. Even though the physical size of the EM field is described by the classic formula c=f*lambda, the transverse EM fields have an influence, in the direction of the field vector, that extends beyond those dimensions, and the "force" of this influence, on another similar EM field vector on the same axis, can be described by Coulomb's Law.
I stated in a reply to another essay that the "vacuum of space" must have the ideal ratio of permittivity to permeability to allow near loss-less propagation of EM fields. This is somewhat like the condition that allow waves to propagate as solitons. EM solitons are exploited in optical fibre cables, where an element of the EM field has been modified to have a longitudinal component.
Your explanation of "one", top of page 2, is interesting. If you read the IEEE reference cited in my essay, topic 1294, the concept of a unit value of arbitrary length is a core feature of the "methodology." I translated the unit length (intrinsic unit) into the familiar size defined by SI, which revealed the basic unit length is directly related to a very familiar EM wavelength. I believe the mathematics are telling us something that I could not state in the paper.
You are attempting to identify the mathematical structures that best fit particular physical law characteristics. When you find the proper mathematical structure, and you apply the proper basic "unit value(s)" for that structure, you will have found one of the "mathematical entities" that reveal a basic truth about our physical existence. The geometric structure in the methodology concept, which is defined by mathematical constants, is "one" such mathematical structure.
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I looked at the vixra article, "Electron as Magnetic Monopole". An electron has a substantially different structure than a propagated electric or magnetic field. Electrons have been measured to have "mass", which means it has a mechanism that allows masses to be attracted to each other. An EM field does not have mass. I do not equate a photon to be anything like an electron, even though they both may have some field characteristics that are precisely equivalent.
Propagated magnetic monopoles, N & S, and electric fields, + & -, are described by Maxwell's equations. EM fields can be attracted to each other, but this is explained by classical physics. See link in my initial reply. Even though the physical size of the EM field is described by the classic formula c=f*lambda, the transverse EM fields have an influence, in the direction of the field vector, that extends beyond those dimensions, and the "force" of this influence, on another similar EM field vector on the same axis, can be described by Coulomb's Law.
I stated in a reply to another essay that the "vacuum of space" must have the ideal ratio of permittivity to permeability to allow near loss-less propagation of EM fields. This is somewhat like the condition that allow waves to propagate as solitons. EM solitons are exploited in optical fibre cables, where an element of the EM field has been modified to have a longitudinal component.
Your explanation of "one", top of page 2, is interesting. If you read the IEEE reference cited in my essay, topic 1294, the concept of a unit value of arbitrary length is a core feature of the "methodology." I translated the unit length (intrinsic unit) into the familiar size defined by SI, which revealed the basic unit length is directly related to a very familiar EM wavelength. I believe the mathematics are telling us something that I could not state in the paper.
You are attempting to identify the mathematical structures that best fit particular physical law characteristics. When you find the proper mathematical structure, and you apply the proper basic "unit value(s)" for that structure, you will have found one of the "mathematical entities" that reveal a basic truth about our physical existence. The geometric structure in the methodology concept, which is defined by mathematical constants, is "one" such mathematical structure.
Thanks Frank, I like your closing description. Just a quick note on your comment "Electrons have been measured to have mass". If an electron is a physical entity, then we must account for its properties; mass, charge, spin etc... but if the electron simply describes a localized distortion of space, then these are properties of space (not of the electron)... the electron is dictating the frequency of units of Planck mass and Planck length within space but does not have these attributes itself. Likewise the EM wave dictates the frequency of units of Planck energy but via E=mc2 this is equivalent to Planck mass. We may then surmise that the photon is a moving wave and the electron a standing wave, with (Planck) mass and (Planck) energy simply Planck momentum viewed from different angles.
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Malcolm,
A pretty complete paradigm of presenting a perspective change.
Jim
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A pretty complete paradigm of presenting a perspective change.
Jim
Malcolm,
I want to expand on your statement about 'one', at the top of page 2 of your essay, as it has a link to where the Greeks learned of geometry.
I have a copy of "The Temple of Man", by Schwaller de Lubicz, and he stated that all pharaonic mathematicians were theologians.
"The pharaonic mathematician remains a theologian. He accepts comparisons, but for the directive of his thought he accepts neither a "situated point," nor, mechanically, a speed (such as that of light); only the Unique and Unity will be his reference." Schwaller
You used the term "earth formula" in the last sentence of your Dimensionless Matter section. With the dimension mess created by SI units, an earth formula would definitely be complex, but when the units are distilled down to their essence, the various "universal mathematical entities" may be as easy to understand as basic geometric relationships.
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I want to expand on your statement about 'one', at the top of page 2 of your essay, as it has a link to where the Greeks learned of geometry.
I have a copy of "The Temple of Man", by Schwaller de Lubicz, and he stated that all pharaonic mathematicians were theologians.
"The pharaonic mathematician remains a theologian. He accepts comparisons, but for the directive of his thought he accepts neither a "situated point," nor, mechanically, a speed (such as that of light); only the Unique and Unity will be his reference." Schwaller
You used the term "earth formula" in the last sentence of your Dimensionless Matter section. With the dimension mess created by SI units, an earth formula would definitely be complex, but when the units are distilled down to their essence, the various "universal mathematical entities" may be as easy to understand as basic geometric relationships.
Dear Malcolm,
I have had a look at your essay, not read it thoroughly. So I can't give a fair overall evaluation yet. I was a just a little puzzled by what you said right at the beginning.
I don't understand why matter has to be an absence of space to be regarded as information. Can't it just be whatever it is and be information as well? Not information that we humans directly access but information that the universe uses for its continuous self creation. It seems to me that whatever a bit of matter, a fermion, is it "carries" the information "keep out of this space its already occupied"- isn't that the same as "there's no space here"? (cf. Pauli exclusion principle)
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I have had a look at your essay, not read it thoroughly. So I can't give a fair overall evaluation yet. I was a just a little puzzled by what you said right at the beginning.
I don't understand why matter has to be an absence of space to be regarded as information. Can't it just be whatever it is and be information as well? Not information that we humans directly access but information that the universe uses for its continuous self creation. It seems to me that whatever a bit of matter, a fermion, is it "carries" the information "keep out of this space its already occupied"- isn't that the same as "there's no space here"? (cf. Pauli exclusion principle)
Dear Georgina,
If an electron is a physical entity, then we must account for its properties; mass, charge, spin etc... but if the electron is 'information' then these are properties of space itself and the electron dictates their frequency... the analogy may be a whirlpool in the ocean, we can mathematically describe its attributes (size, speed...) but we cannot isolate it from the ocean.
You are correct of course, all information is information... I have tried to describe a possible method by which the universe may manipulate this information.
If you interested in the physics, I have an online calculator which describes the physical constants as geometrical forms and for the philosophy an online book: Plato's Cave (Part 1).
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If an electron is a physical entity, then we must account for its properties; mass, charge, spin etc... but if the electron is 'information' then these are properties of space itself and the electron dictates their frequency... the analogy may be a whirlpool in the ocean, we can mathematically describe its attributes (size, speed...) but we cannot isolate it from the ocean.
You are correct of course, all information is information... I have tried to describe a possible method by which the universe may manipulate this information.
If you interested in the physics, I have an online calculator which describes the physical constants as geometrical forms and for the philosophy an online book: Plato's Cave (Part 1).
Dear Malcom
You have an interesting thought process ‘Universe That Isn’t’. Staring sentencing of your essay are power statements:
1. Conventional wisdom depicts our universe as matter (particles to planets) within the vacuum of space.
2. we are still not sure what matter is
3. we need the language of mathematics to describe it
4. space as the absence of matter
5. Fundamental constants such as G and h can be considered as natural units
As a Pico-Physicist, I can comment on above power statements
1. Yes, It is compatible with Human intuition and observation. It can be taken as a fact. This is embedded into thought process of Pico-Physics as Unary law ‘Space contains Knergy (Matter)’.
2. My essay Five Dimensions of universe resolves this issue in a meaningful manner – Knergy (Matter) as host reality of Konservation concept and Space as host reality of anti-dote to Konservation concept.
3. Mathematical language to describe the matter is discussed in the essay along with subset of numvers that can be used to express its magnitude. The question of units as an identified and well publicised (to independent observers) identity of reality.
4. Space as absence of matter: I have spent lot of time on this issue. But with this concept, I was not able to conceptualize changes that take place in the universe. I was hampered by the thought of space and matter being two state of same reality as a very viable statement resulting from this thought processes. In the end, I settled for space and matter being independent realities. The interaction between them is governed by unary law .
5. You are right in considering G & h are natural units. In PicoPhysics we consider h, c and possibly Hubble's constant as natural units. Hubble's constant and G are related to each other in PicoPhysics.
Thanks and Regards,
Vijay Gupta
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You have an interesting thought process ‘Universe That Isn’t’. Staring sentencing of your essay are power statements:
1. Conventional wisdom depicts our universe as matter (particles to planets) within the vacuum of space.
2. we are still not sure what matter is
3. we need the language of mathematics to describe it
4. space as the absence of matter
5. Fundamental constants such as G and h can be considered as natural units
As a Pico-Physicist, I can comment on above power statements
1. Yes, It is compatible with Human intuition and observation. It can be taken as a fact. This is embedded into thought process of Pico-Physics as Unary law ‘Space contains Knergy (Matter)’.
2. My essay Five Dimensions of universe resolves this issue in a meaningful manner – Knergy (Matter) as host reality of Konservation concept and Space as host reality of anti-dote to Konservation concept.
3. Mathematical language to describe the matter is discussed in the essay along with subset of numvers that can be used to express its magnitude. The question of units as an identified and well publicised (to independent observers) identity of reality.
4. Space as absence of matter: I have spent lot of time on this issue. But with this concept, I was not able to conceptualize changes that take place in the universe. I was hampered by the thought of space and matter being two state of same reality as a very viable statement resulting from this thought processes. In the end, I settled for space and matter being independent realities. The interaction between them is governed by unary law .
5. You are right in considering G & h are natural units. In PicoPhysics we consider h, c and possibly Hubble's constant as natural units. Hubble's constant and G are related to each other in PicoPhysics.
Thanks and Regards,
Vijay Gupta
Dear Vijay,
Apologies, I haven't had time to study your work yet so just a quick comment on your point '5' regarding G and h.
I consider only the fine structure constant alpha, Planck momentum and c as the 'natural constants'... the other constants can be derived from these. I demonstrate this with an online calculator.
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Apologies, I haven't had time to study your work yet so just a quick comment on your point '5' regarding G and h.
I consider only the fine structure constant alpha, Planck momentum and c as the 'natural constants'... the other constants can be derived from these. I demonstrate this with an online calculator.
Malcolm
Can your calculator test my theory is right or not?
http://fqxi.org/community/forum/topic/1413
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Can your calculator test my theory is right or not?
http://fqxi.org/community/forum/topic/1413
Check please my theory
1.BB 2.Present 3.BC
c=10^30; c=10^10; c=10^-10
G=10^12; G=10^-8; G=10^-28
h=10^-28; h=10^-28; h=10^-28
alfa =10^-3; 1/ 137; 1
e=0,1 ; e=e ; e=12
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1.BB 2.Present 3.BC
c=10^30; c=10^10; c=10^-10
G=10^12; G=10^-8; G=10^-28
h=10^-28; h=10^-28; h=10^-28
alfa =10^-3; 1/ 137; 1
e=0,1 ; e=e ; e=12
Hi Yuri,
Sorry, the calculator is set up to work with present SI units; 1kg, 1m, 1s... and uses CODATA values to confirm results. You can of course use your own values to see what the universe would look like if G was greater for example, but this requires modifying Q, not alpha - as alpha is independent of the SI units. I would have to set up a different calculator using Q as the input (or Q and alpha), which could be interesting... alternately if you have Maple, you can do it yourself, copy and paste the formulas. Let me know how it goes...
Cheers,
Malcolm
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Sorry, the calculator is set up to work with present SI units; 1kg, 1m, 1s... and uses CODATA values to confirm results. You can of course use your own values to see what the universe would look like if G was greater for example, but this requires modifying Q, not alpha - as alpha is independent of the SI units. I would have to set up a different calculator using Q as the input (or Q and alpha), which could be interesting... alternately if you have Maple, you can do it yourself, copy and paste the formulas. Let me know how it goes...
Cheers,
Malcolm
No,i don't have maple
Does your theory valid in case where only one constant Planck?
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Does your theory valid in case where only one constant Planck?
You might have noted from the online calculator that I can reduce everything to; Planck momentum, the fine structure constant alpha and c (which I assume to be the velocity of Planck momentum and so not a fundamental entity). For a background to the theory. I have written a 'popular' book which I just put online: www.platoscode.com, chapter 1.2 and Part II. It is still under construction so let me know if you spot any errors.
Cheers,
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Cheers,
I sending to you Frank Wilczek’s 3 keen articles
http://ctpweb.lns.mit.edu/physics_today/phystoday/Ab
s_limits388.pdf
http://ctpweb.lns.mit.edu/physics_today/physt
oday/Abs_limits393.pdf
http://ctpweb.lns.mit.edu/physics_toda
y/phystoday/Abs_limits400.pdf
All the best
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http://ctpweb.lns.mit.edu/physics_today/phystoday/Ab
s_limits388.pdf
http://ctpweb.lns.mit.edu/physics_today/physt
oday/Abs_limits393.pdf
http://ctpweb.lns.mit.edu/physics_toda
y/phystoday/Abs_limits400.pdf
All the best
Thanks Yuri, I downloaded those and will have a look at them!
Cheers,
Malcolm
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Cheers,
Malcolm
Dear Malcolm Macleod
Very interesting to see your essay.
Perhaps all of us are convinced that: the choice of yourself is right!That of course is reasonable.
So may be we should work together to let's the consider clearly defined for the basis foundations theoretical as the most challenging with intellectual of all of us.
Why we do not try to start with a real challenge is very close and are the focus of interest of the human science: it is a matter of mass and grain Higg boson of the standard model.
Knowledge and belief reasoning of you will to express an opinion on this matter:
You have think that: the Mass is the expression of the impact force to material (definition from the ABSOLUTE theory of me) - so no impact force, we do not feel the Higg boson - similar to the case of no weight outside the Earth's atmosphere.
Does there need to be a particle with mass for everything have volume? If so, then why the mass of everything change when moving from the Earth to the Moon? Higg boson is lighter by the Moon's gravity is weaker than of Earth?
The LHC particle accelerator used to "Smashed" until "Ejected" Higg boson, but why only when the "Smashed" can see it,and when off then not see it ?
Can be "locked" Higg particles? so when "released" if we do not force to it by any the Force, how to know that it is "out" or not?
You are should be boldly to give a definition of weight that you think is right for us to enjoy, or oppose my opinion.
Because in the process of research, the value of "failure" or "success" is the similar with science. The purpose of a correct theory be must is without any a wrong point ?
Glad to see from you comments soon,because still have too many of the same problems.
Kind Regards !
Hải.Caohoàng of THE INCORRECT ASSUMPTIONS AND A CORRECT THEORY
August 23, 2012 - 11:51 GMT on this essay contest.
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Very interesting to see your essay.
Perhaps all of us are convinced that: the choice of yourself is right!That of course is reasonable.
So may be we should work together to let's the consider clearly defined for the basis foundations theoretical as the most challenging with intellectual of all of us.
Why we do not try to start with a real challenge is very close and are the focus of interest of the human science: it is a matter of mass and grain Higg boson of the standard model.
Knowledge and belief reasoning of you will to express an opinion on this matter:
You have think that: the Mass is the expression of the impact force to material (definition from the ABSOLUTE theory of me) - so no impact force, we do not feel the Higg boson - similar to the case of no weight outside the Earth's atmosphere.
Does there need to be a particle with mass for everything have volume? If so, then why the mass of everything change when moving from the Earth to the Moon? Higg boson is lighter by the Moon's gravity is weaker than of Earth?
The LHC particle accelerator used to "Smashed" until "Ejected" Higg boson, but why only when the "Smashed" can see it,and when off then not see it ?
Can be "locked" Higg particles? so when "released" if we do not force to it by any the Force, how to know that it is "out" or not?
You are should be boldly to give a definition of weight that you think is right for us to enjoy, or oppose my opinion.
Because in the process of research, the value of "failure" or "success" is the similar with science. The purpose of a correct theory be must is without any a wrong point ?
Glad to see from you comments soon,because still have too many of the same problems.
Kind Regards !
Hải.Caohoàng of THE INCORRECT ASSUMPTIONS AND A CORRECT THEORY
August 23, 2012 - 11:51 GMT on this essay contest.
Dear Malcolm,
From the point of view of Infinite Hierarchical Nesting of Matter and Similarity of matter levels , at every main level of matter there are their own gravitational constant and Planck constant. For the level of star such constants are described in Stellar constants . At the level of particles is supposed strong gravitation . Now I want say that Planck units must be corrected. If for the particles level of matter we will use not common gravitational constant, but instead of it take Strong gravitational constant , we find good coinciding with the parameters of nucleons. To use correctly Planck units at the level of stars we must to use stellar Planck constant. There was found the meaning of the Planck length. It is close to radius of particles (praons) which relate to nucleon in the same way as nucleons relate to neutron star. It is supposed that in neutron as much praons as neutrons in the neutron star. Please see and evaluate my essay.
Sergey Fedosin Essay
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From the point of view of Infinite Hierarchical Nesting of Matter and Similarity of matter levels , at every main level of matter there are their own gravitational constant and Planck constant. For the level of star such constants are described in Stellar constants . At the level of particles is supposed strong gravitation . Now I want say that Planck units must be corrected. If for the particles level of matter we will use not common gravitational constant, but instead of it take Strong gravitational constant , we find good coinciding with the parameters of nucleons. To use correctly Planck units at the level of stars we must to use stellar Planck constant. There was found the meaning of the Planck length. It is close to radius of particles (praons) which relate to nucleon in the same way as nucleons relate to neutron star. It is supposed that in neutron as much praons as neutrons in the neutron star. Please see and evaluate my essay.
Sergey Fedosin Essay
After studying about 250 essays in this contest, I realize now, how can I assess the level of each submitted work. Accordingly, I rated some essays, including yours.
Cood luck.
Sergey Fedosin
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Cood luck.
Sergey Fedosin
Dear Sergey,
Thanks.
I have an online calculator which, using only the fine structure constant, the Rydberg constant and c; can calculate theoretical values for the physical constants with extremely high precision. I put your strong gravity formula on this site and using alpha = 137.035999074, I get Gs = 1.5141729346e+29 (as c has a fixed value and Rydberg is known to 12 digits, precision is limited only by alpha). You can check your formula at this site: physical constants calculator
You can also relate G with Gs - using these formulas to break down G and Gs to their component parts helps to determine their actual structure and function: Alpha and sqrt of Planck momentum
You may also find the online gravitational wave calculator useful. It is also very precise: gravitational wave calculator
Let me know if there are any other formulas you want me to look at.
Cheers, Malcolm
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Thanks.
I have an online calculator which, using only the fine structure constant, the Rydberg constant and c; can calculate theoretical values for the physical constants with extremely high precision. I put your strong gravity formula on this site and using alpha = 137.035999074, I get Gs = 1.5141729346e+29 (as c has a fixed value and Rydberg is known to 12 digits, precision is limited only by alpha). You can check your formula at this site: physical constants calculator
You can also relate G with Gs - using these formulas to break down G and Gs to their component parts helps to determine their actual structure and function: Alpha and sqrt of Planck momentum
You may also find the online gravitational wave calculator useful. It is also very precise: gravitational wave calculator
Let me know if there are any other formulas you want me to look at.
Cheers, Malcolm
If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is 
and 
was the quantity of people which gave you ratings. Then you have 
of points. After it anyone give you 
of points so you have 
of points and 
is the common quantity of the people which gave you ratings. At the same time you will have 
of points. From here, if you want to be R2 > R1 there must be: 
or  / (N_1+1) >S_1/ N_1)
or 
In other words if you want to increase rating of anyone you must give him more points then the participant`s rating was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process. I hope the FQXI community will change the rating process.
Sergey Fedosin
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Sergey Fedosin
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