Isaac Scientific Publishing

Advances in Astrophysics

Re-Visiting the Anisotropy of Inertia Experiments

Download PDF (289.4 KB) PP. 47 - 53 Pub. Date: May 1, 2016

DOI: 10.22606/adap.2016.11004

Author(s)

  • Robert L. Shuler*
    NASA Johnson Space Center/EV5, 2101 NASA Parkway, Houston, TX 77058

Abstract

In the 1960s experiments investigating anisotropy of inertia relative to solar or galactic mass centers using the Mössbauer effect obtained negative results. Both sides of a debate over Mach’s Principle claimed the result was what should be expected. However in light of earlier comments by Einstein on the relativity of inertia to masses, Brans and Dicke felt a revised theory of gravity would better incorporate Mach’s Principle. We present a new view that the old experiment assumed, incorrectly, that Mach’s Principle affects only time dilation, which would violate the Equivalence Principle, and that the results were a predictable coordinate artifact. Using a special formalism of Distant Inertial and Spatially Homogeneous coordinates we give a plausible analysis that radial spatial distortion in a gravitational field is also related to Mach’s Principle and embodies the expected anisotropy while keeping equivalence locally intact. This leads to a view of momentum interactions via the space-time field that invites further analysis. Also, since Mach’s principle seems to be related to both time and spatial curvature, we briefly discuss whether it could be used as a postulate basis for space-time and how this might affect experiments designed to detect or exclude matter-coupled fields.

Keywords

NASA Johnson Space Center/EV5, 2101 NASA Parkway, Houston, TX 77058

References

[1] Einstein, “Is There a Gravitational Effect Which Is Analogous to Electrodynamic Induction?” Vierteljahrschrift für gerichtliche Medizin (ser. 3), 44, 37-40 (1912).

[2] Available in The Collected Papers of Albert Einstein, Vol. 4 (English), trans. Anna Beck, Princeton University Press, Princeton (1996).

[3] A. Einstein, in Mach's Principle: From Newton's Bucket to Quantum Gravity, edited by J. Barbour and H. Pfister, Birkhauser, Basel, Switzerland, (1995).

[4] R.L. Shuler, “A Fresh Spin on Newton's Bucket,’ Phys. Ed., 50, 1 p88 (2015). G. Cocconi and E. E. Salpeter, “A Search for Anisotropy of Inertia,” Nuovo Cimento, 10, 646-651 (1958).

[5] G. Cocconi and E. E. Salpeter, “Upper Limit for the Anisotropy of Inertia from the M?ssbauer Effect,” Phys. Rev. Letters, 4, 176-177 (1960).

[6] R. W. P. Drever, “A Search for Anisotropy of Inertial Mass using a Free Precession Technique,” Phil. Mag., 6, 683-687 (1961).

[7] R. Shuler, “Isotropy, Equivalence and the Laws of Inertia,” Phys. Essays, 24, 4 (2011) pp. 498-507.

[8] R.P. Gruber, R.H. Price, S.M. Matthews, W.R. Cordwell, and L.F. Wagner, “The Impossibility of a Simple Derivation of the Schwarzschild Metric,” Am. J. Phys., 56, 265-269 (1988).

[9] J. Hanc, S. Tuleja and M. Hancova, “Symmetries and Conservation Laws: Consequences of Noether’s Theorem,” Am. J. Phys., 72, 4, pp 428-435 (2004).

[10] I. Ciufolini and J. Wheeler, Gravitation and Inertia, Princeton University Press, Princeton, New Jersey (1995).

[11] H. Leutwyler, “A No-Interaction Theorem in Classical Relativistic Hamiltonian Particle Mechanics,” Nuovo Cimento, 37, 2, 556-567 (1965).

[12] J.H. Taylor, L.A. Fowler and P.M. McCulloch, “Measurements of General Relativistic Effects in the Binary Pulsar PSR1913+16,” Nature, 277, 8, pp. 437-440 (1979).

[13] C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W.H. Freeman & Co., San Francisco (1973) p 429.

[14] M. Blau, “Lecture Notes on General Relativity,” Institute for Theoretical Physics, University of Bern, Switzerland (2014). http://www.blau.itp.unibe.ch/Lecturenotes.html15. National Center for Biotechnology Information, Available: http://www.ncbi.nlm.nih.gov

[15] W. Rindler, Relativity Special, General, and Cosmological, 2nd ed., Oxford University Press, Oxford – New York, p. 221 (2006).

[16] G. Aad et. al., “Observation of a New Particle in the Search for the Standard Model Higgs Boson with the ATLAS Detector at the LHC,” Phys. Lett. B, 716, 1, pp 1-29 (2012).

[17] B. Haisch, A. Rueda and H.E. Puthoff, “Inertia as a Zero-Point Lorentz Force,” Phys. Rev. A, 49, 2, pp 678-694 (1994).

[18] B. Haisch, A. Rueda and Y. Dobyns, “Inertial Mass and the Quantum Vacuum Fields,” Ann. Phys., 10, 5, pp292-414 (2001).

[19] A. Rueda, B. Haisch, “Gravity and the Quantum Vacuum Inertia Hypothesis,” Ann. Phys., 14, 8, pp. 479-498 (2005).

[20] J. Bodenner and C. Will., “Deflection of Light to Second Order: A Tool for Illustrating Principles of General Relativity,” Am. J. Phys., 71, 8 (2003).

[21] Kopeikin, S.M. and Makarov, V.V., "Gravitational Bending of Light by Planetary Multipoles and its Measurement with Microarcsecond Astronomical Interferometers," Phys. Rev. D, 75, 6, p. 062002 (2007).

[22] Maccone, C., “Space Missions Outside the Solar System to Exploit the Gravitational Lens of the Sun,” J. Brit. Interplanetary Soc., 47, 2, pp. 45-52 (1994).

[23] D.F. Mota and D.J. Shaw, “Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter,” Phys. Rev. D, 75, 063501 (2007).