A New Estimate of The Gravitational Constant Using Resonating Beams

^{By Amal Pushp, Affiliate Physicist at the Resonance Science Foundation}

Why do apples fall from the trees? This was one of the first questions that led to a revolution in our understandings of physics in general and the fundamental forces of nature in particular. The answer according to eminent physicist Isaac Newton is the gravitational force. But what determines the strength of the gravitational force or for that matter any fundamental force? There is a coupling constant that is uniquely associated with every force and which is also responsible for determining the strength of its interaction.

Several experiments have been conducted to determine the value of the constant associated with the gravitational force but none have been accurate enough to the satisfaction of the physics community. Although the experiments have continually tried to advance the precision aspect, the value of G is the least precise of all the four basic forces, the reason being simple, that it interacts very weakly and is difficult to decouple from the surrounding factors.

A research team led by Jürg Dual from ETH Zurich has devised a novel experiment to set new limits on the magnitude of the gravitational constant and they published the results in Nature Physics [1]. The setup involved two rods which were put up in vacuum chambers. One of the rods was allowed to vibrate which resulted in the vibration of the other rod due to gravitational coupling but the movement of the second rod was strictly in the picometer range which is ideally one trillionth of a meter. The resonating beams thus allowed the measurement of the gravitational constant.

Surprisingly, the value of gravitational constant yielded by the team’s experiment came to be 2.2 % higher than the CODATA (Committee on Data for Science and Technology) incorporated value. This indicates that there is some discrepancy involved here. Now this discrepancy may be interpreted in ways that are essentially twofold:

• Either the measurement result arrived by the team is inaccurate or,
• There is an inconsistency within the standard model itself

However, Dual does acknowledge that the magnitude obtained by their experimental method is subject to a great deal of uncertainty. He says, “To obtain a reliable value, we still need to reduce this uncertainty by a considerable amount. We're already in the process of taking measurements with a slightly modified experimental setup so that we can determine the constant G with even greater precision."

The figure gives the timeline of measurements and recommended values for G since 1900. The values recommended based on a literature review are shown in red, individual torsion balance experiments in blue and other types of experiments in green. Credit: Dbachmann

RSF in Perspective:

Nassim Haramein’s unified field model is based on the generalized holographic approach that considers a statistical entropy and thermodynamics approach of a surface-to-volume generalized holographic ratio. The resulting model scales from the Planck scale to the universal scale, finding a surprisingly periodic fit to organise matter in the universe, from which one can compute exact values defining the fundamental scaling factors of physical interactions.

Utilizing these scaling factors, his model would allow the computation of a value for the gravitational constant G with an accuracy of ten significant figures 10^-10, representing the first analytical solution for G, which is typically only known to five significant figures of accuracy from experimental investigations. The accuracy of the value can also be confirmed by computing the Rydberg constant utilizing the derived scaling factor and value of G.

Now the value of the gravitational constant obtained by Jürg Dual’s team from ETH Zurich could be compared with that obtained from Haramein et al which is soon to be published. Also, previously Haramein’s model explicated the inconsistency of the standard model in explaining the charge radius of the proton and the CODATA confirmed the same [2, 3]. It is thus expected that the same would be true with the gravitational constant, which anyway would be confirmed once Haramein’s new paper is out.

References

[1] Jürg Dual, Dynamic measurement of gravitational coupling between resonating beams in the hertz regime, Nature Physics (2022). DOI: 10.1038/s41567-022-01642-8.

[2] Haramein, N. (2012). Quantum Gravity and the Holographic Mass, Physical Review & Research International, ISSN: 2231-1815, Page 270-292.

[3] Haramein, N. (2013). Addendum to “Quantum Gravity and the Holographic Mass” in view of the 2013 Muonic Proton Charge Radius Measurement.