I believe that all Planck's units relate 100% to cosmological constants notably h and reduced h. Where h is irrational and h is rational. Einstein also uses cosmological constants in his theories. In addition i believe that cosmological constants are all in link and issued from each other which make the theories of Einstein and Planck are fondamentaly linked.
Planck's units, like any system of units, don't imply anything about physical phenomena; the general theory of relativity is the generalization of the special theory of relativity; but it describes spacetime, not the properties of matter, of which spacetime is affected only by the energy-momentum tensor.
Once more: There aren't many cosmological constants, just one. General relaivity needs just Newton's constant and the cosmological constant to describe the spacetime geometry. There's no relation between Newton's constant and the cosmological constant, they're independent.
What Planck's units imply, under the assumption that spacetime geometry is described by general relativity when these are relevant, is that an object of mass greater than the Planck mass, if confined to a size less than the Planck length, would be a black hole.
The problem with this statement is that Planck' units contain Planck's constant, that doesn't have anything to do with general relativity, which provides a classical description of spacetime.
There is ongoing research in theoretical physics aimed at developing a unified theory that would explain all the fundamental forces and particles in the universe. However, it is currently unclear whether such a theory exists or what its nature might be.
Planck's units and Einstein's theories of special and general relativity are certainly related, as they both deal with the fundamental principles of space, time, and energy. In fact, Planck's units are derived from a combination of fundamental physical constants, including the speed of light and Planck's constant, which are also key components of Einstein's theories.
However, while there are certainly connections between these concepts, it is still an open question as to whether they can all be fully explained by a single underlying theory. Some physicists have proposed theories such as string theory or loop quantum gravity as possible candidates for a unified theory, but these ideas are still largely speculative and have not yet been fully proven or accepted by the scientific community.
Overall, while it is certainly possible that there may be deeper connections between Planck's units, Einstein's theories, and cosmological constants, this remains an area of active research and debate within the field of theoretical physics.
Agnieszka Matylda Schlichtinger,
Thank you very much for your good answer. Einstein understood that cosmological constants are important in his equations. When he relied on Huble's observations that the universe is expanding, Einstein therefore added a cosmological constant to his gravitational field equations. For my part, I find that the cosmological constants appear even in Planck units via constant h and reduced h. It is enough for people to find the equations of Planck's constant and its reduced constant. If Einstein could have realized that there are close links between cosmological constants, he would certainly have generalized the use of these constants in cosmology and even in special relativity. For my part, I realize that the cosmological constants are interdependent and are ubiquitous even in the equations of the quantum world such as Planck units as well as in other fundamental theories relevant to all subjects of physics. In fact, isn't the universe a cosmological laboratory? This laboratory, let's say cosmological, will certainly not use the dimensions of a window of one of our apartments to take them into account in cosmological or even quantum calculations? People need to develop a theory of cosmological constants to better understand the quantum and cosmological worlds in depth! I find the recent models, including the standard model etc., to be models for experimental physics, I find they are all far from complete to be ultimate models!
Interrelation of fundamental physical constants: hGv2/c5 = 1,
where v is the oscillation frequency of the waves of the gravitational (Unified) field of the Universe [1]:
[1]. Nastasenko, V. (2020) Analysis of the Processes of Gravity in the Framework of Curvature of Space and the Substantiation of the New Model. Journal of Applied Mathematics and Physics, 8, 2732-2743. https://doi.org/10.4236/jamp.2020.812202
Indeed there is,
SUMMARY
Scalar Theory of Everything (STOE) unites the big, the small, and the four forces (GUT) by extending Newton's model
http://intellectualarchive.com/?link=item&id=2414
https://www.youtube.com/watch?v=0YlJGdTvuTU
Musings
https://www.youtube.com/watch?v=d0nkeV2dbWA
Jamil Kooli,
What is the measured value of Einstein's general-relativity-theory cosmological constant in Planck units?
Issam Mohanna
If people find the exact equation of the cosmological constant they will find that it has a direct link with squared RA (c=HAxRA). Therefore the cosmological constant has no links with Planck units. But people could find an equation of the universe's mass using dimensionless reduced h. See on this subject my answers to the question of Raphael Neelamkavil " What are the cosmological renderings and applications of the Planck Constant?".
Jamil Kooli
You haven't answered my question:
"What is the measured value of Einstein's general-relativity-theory cosmological constant in Planck units?"
Issam Mohanna
This is your own question, not mine, you can post it on RG. Sorry I don't like your method!
Issam Mohanna
Since the Universe is expanding at the rate of propagation of its gravitational field, therefore the cosmological constant is related to the Planck values based on the relationship between the Planck length and time: lp/tp.
Valentyn Nastasenko,
Without deviation and hesitation and repetition,could you please answer the following question that Kooli failed to answer:
What is the measured value of Einstein's general-relativity-theory cosmological constant in Planck units?
Slava Ukraini!
Jamil Kooli,
My question is the answer to your question but as expected you couldn't and failed to apprehend it.
Issam Mohanna
And who measured it?
It can only be calculated.
Why do you need it?
Valentyn Nastasenko,
Are you sure that Einstein's cosmological constant cannot be measured?
Slava Ukraini!
Issam Mohanna
Yes, because its physical (rather than abstract mathematical) meaning is not known.
JK: The Planck unit has to do with quantum mechanics, not GR. But, quantum computing unifies general relativity (GR) with quantum mechanics (QM), finally!
The set N shows at least 4 quantum properties, and so thus the set Q.
Instead of using mathematical real-numbers (MRN) or mathematical complex numbers (MCN) in GR, use the set Q. Then, GR follows QM natively. No imaginary numbers are used (think of it: computers do not actually use imaginary numbers -- they emulate if you insist).
We discuss a consequence in the orbit of Mercury. The orbit is now open, as a spiral around the Sun, which can now be measured by the satellite Bepi-Colombo, approaching Mercury orbit.
The preprint is at ResearchGate.
Ed Gerck
Thank you very much for this detailed information. Kind regards.
“…Planck's units and Einstein's theories of special and general relativity are certainly related, as they both deal with the fundamental principles of space, time, and energy. In fact, Planck's units are derived from a combination of fundamental physical constants, including the speed of light and Planck's constant, which are also key components of Einstein's theories.….”
- Planck's units really deal with the parameters of the Matter’s ultimate base – the Matter’s aether – the primary elementary logical structures – (at least) [4+4+1]4D binary reversible fundamental logical elements [FLE], which compose the (at least) [4+4+1]4D dense lattice, which is placed in the Matter’s fundamentally absolute, fundamentally flat, and fundamentally “Cartesian”, (at least) [4+4+1]4D spacetime with metrics (at least) (cτ,X,Y,Z, g,w,e,s,ct),
- and the utmost fundamental units are: the Planck length, lP, which is the FLE “size” in all Matter’s spacetime dimensions above; the Planck time, tP, which is the time interval at a change of FLE’s state - “FLE binary flip” in all dimensions above; and the Planck constant, ћ, which is the angular momentum of flipping FLE, what, at that, is actualized in Matter in that at changes of states of particles the physical action changes on the elementary action ћ as well.
The rest values that are called in mainstream physics as “Planck units” are some derivations from the unities – really ultimate and universal – constants in Matter above; and so really the so called “fundamental physical constants” really are some combinations of the units above – the speed of light, c=lP/tP, the gravitational constant G=lP5/ћtP3, etc.
At that the constants relate to Matter’s spacetime only in that the FLE-lattice above is placed in the Matter’s spacetime above, and in no any relation else;
- including, so, the unities have no any relations to the GR, which is based on the fundamentally incorrect postulate that spacetime is something else than it is fundamentally only is – only an empty container, where the FLE-lattice is placed, while everything that exists and happens in Matter is/are some specific disturbances in the lattice,
- i.e. the postulate that some interactions in systems “mass-spacetime-mass” are real, while really such interactions fundamentally cannot, and so aren’t, exist.
More see, first of all the Shevchenko-Tokarevsky’s 2007 initial models of fundamentally nothing else than fundamental Nature Gravity [and Electric] forces in
https://www.researchgate.net/publication/365437307_The_informational_model_-_Gravity_and_Electric_Forces, where, including, it is explained how Planck unities act at gravitational and EM interactions [and at nucleons interactions in nuclei, though, see “The Informational Model – Nuclear Force” in
https://www.researchgate.net/publication/369357747_The_informational_model_-Nuclear_Force.
SS posts in
https://www.researchgate.net/post/Physical_origin_of_the_fine_structure_constant_and_the_definition_of_elemental_charge/9
https://www.researchgate.net/post/Plancks_particle_Plancks_time_Plancks_length
- are relevant to this thread question as well.
Cheers
Sergey Shevchenko
Many thanks for you ample documentation. Kind regards.
Dear Colleagues!
My book is out:
Initial Quanta Level of the Material World and Substantiation of Its Parameter
ISBN 978-81-19491-00-1 (Print)
ISBN 978-81-19491-01-8 (eBook)
DOI: 10.9734/bpi/mono/978-81-19491-00-1
It's on my LinkedIn profile.
The book is paid, but for professors from Ukraine who have a salary of 300 Euros, even 1 Euro is not superfluous.
If you want to know that the space quantum of the Universe is not a traditional ball, but has the shape of a regular hexagonal prism,
and also that:
- Wolfram structures are "children's comics", since they have a flat base, and the quantum of space has volume;
- all mathematical theories in physics that are based on continuous functions should be sent to the shelf of history, since the basis of the material world is made up of finite quantum quantities that change by quantum jumps,
Then you need to read this book.
Those who do not want to read it, but have the financial ability to buy it, I ask you to help a poor professor from Ukraine.
Sincerely, V.A. Nastasenko
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