Can the Planck Length Be Found Independent of Big G?

Haug, Espen Gaarder

doi:10.5539/apr.v9n6p58

Cited by 41 publications

(45 citation statements)

References 6 publications

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“…Had the Planck length even been different by 10%, then this would change the gravitational constant by 20%. Haug [5] has recently shown that the measurement error in the Planck length is exactly half of that of the gravitational constant. This is based on the assumption that the Planck length represents something fundamental that plays a central role in the quantum world and that gravity itself is ultimately affected by the Planck scale, even at the cosmic scale.…”

Section: The Speed Of Gravity Hidden Within Newton's Gravitational Fomentioning

confidence: 99%

“…An alternative is to try to define the maximum acceleration based on the Heisenberg uncertainty principle, And nothing with rest-mass can travel at the speed of light as this would lead to infinite kinetic energy, which was first pointed out by Einstein [20]. Haug [21] has recently suggested the Planck acceleration only can happen for a Planck mass particle and that this particle then only can last for one Planck second before dissolving into pure energy. This would at least be consistent with a mass accelerated to the speed of light, where the mass is no longer a mass but rather becomes energy.…”

Section: Gravitational Acceleration Fieldmentioning

confidence: 99%

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Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Haug¹

2018

IJAA

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Here we derive Newton's and Einstein's gravitational results for any mass less than or equal to a Planck mass. All of the new formulas presented in this paper give the same numerical output as the traditional formulas. However, they have been rewritten in a way that gives a new perspective on the formulas when working with gravity at the level of the subatomic world. To rewrite the well-known formulas in this way could make it easier to understand the strengths and weaknesses in Newton's and Einstein's gravitation formulas at the subatomic scale, potentially opening them up for new important interpretations and extensions. For example, we suggest that the speed of gravity equal to that of light is actually embedded and hidden inside of Newton's gravitational formula.

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Section: The Speed Of Gravity Hidden Within Newton's Gravitational Fomentioning

confidence: 99%

Section: Gravitational Acceleration Fieldmentioning

confidence: 99%

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Haug¹

2018

IJAA

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“…By re-formulating G as a composite of the form G = 5. The Planck mass and the Planck length can be measured totally independent of any knowledge of the Newton gravitational constant, as recently shown by Haug [9,10]. This means the elements of a Newtonian composite gravitational constant all are known.…”

Section: When We Understand That the Newton Gravitationalmentioning

confidence: 78%

Gravity without Newton's Gravitational Constant and No Knowledge of Mass Size

E¹

2018

Preprint

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In this paper we show that the Schwarzschild radius can be extracted easily from any gravitationally-linked phenomena without having knowledge of the Newton gravitational constant or the mass size of the gravitational object. Further, the Schwarzschild radius can be used to predict any gravity phenomena accurately, again without knowledge of the Newton gravitational constant and also without knowledge of the size of the mass, although this may seem surprising at first.Hidden within the Schwarzschild radius are the mass of the gravitational object, the Planck mass (their relative mass), and the Planck length. We do not claim to have all the answers, but this seems to indicate that gravity is quantized, even at a cosmological scale, and this quantization is directly linked to the Planck units.

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“…Haug [15] has, in a similar way, shown how the Planck length can be found independent of big G, but his derivation did not start out with the McCulloch-Heisenberg Newton equivalent gravity theory, so we think the derivation and discussion in this paper offer important additional insight. See also Appendix A.2, on how we can extend the derivation above using the McCullochHeisenberg gravity to find the Planck length and Planck time "directly" from a Cavendish apparatus.…”

Section: The Planck Mass Measured Directly From Mcculloch's Derivmentioning

confidence: 99%

Planck Mass Measured Totally Independent of Big G Utilizing McCulloch-HeisenbergNewtonian Equivalent Gravity

E¹

2018

Preprint

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In 2014, McCulloch showed, in a new and interesting way, how to derive a gravity theory from Heisenberg's uncertainty principle that is equivalent to Newtonian gravity. McCulloch utilizes the Planck mass in his derivation and obtains a gravitational constant of c m 2 p . This is a composite constant, which is equivalent in value to Newton's gravitational constant. However, McCulloch has pointed out that his approach requires an assumption on the value of G, and that this involves some circular reasoning. This is in line with the view that the Planck mass is a derived constant from Newton's gravitational constant, while big G is a universal fundamental constant. Here we will show that we can go straight from the McCulloch derivation to measuring the Planck mass without any knowledge of the gravitational constant. From this perspective, there are no circular problems with his method. This means that we can measure the Planck mass without Newton's gravitational constant, and shows that the McCulloch derivation is a theory of quantum gravity that stands on its own. Even more importantly, we show that we can easily measure the Schwarzschild radius of a mass without knowing its mass, or Newton's gravitational constant, or the Planck constant. The very essence of gravity is linked to the Planck length and the speed of light, but here we will claim that we do not need to know the Planck length itself. Our conclusion is that Newton's gravitational constant is a universal constant, but it is a composite constant of the form G = where the Planck length and the speed of light are the keys to gravity. This could be an important step towards the development of a full theory of quantum gravity.

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Can the Planck Length Be Found Independent of Big G?

Cited by 41 publications

References 6 publications

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Newton’s and Einstein’s Gravity in a New Perspective for Planck Masses and Smaller Sized Objects

Gravity without Newton's Gravitational Constant and No Knowledge of Mass Size

Planck Mass Measured Totally Independent of Big G Utilizing McCulloch-HeisenbergNewtonian Equivalent Gravity

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