Bulletin of the American Physical Society
APS April Meeting 2022
Volume 67, Number 6
Saturday–Tuesday, April 9–12, 2022; New York
Session Z15: Alternative Approaches in Gravity and Field TheoryRecordings Available
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Sponsoring Units: DGRAV Chair: Nils Deppe, Caltech Room: Marquis C |
Tuesday, April 12, 2022 3:45PM - 3:57PM |
Z15.00001: Limiting the functional integral in quantum gravity to gauge transformations Brian A Slovick Within the background field method of quantum gravity, I show that if the quantum fluctuations are limited to gauge transformations rather than the physical degrees of freedom, all the quanum corrections vanish on shell and effective action is equal to the classical action. The resulting theory is finite and unitary and requires no renormalization. I also show that this parametrization renders the effective action independent of the on-shell condition for the background fields, a unique form of background independence. While this approach represents a significant departure from conventional quantum field theory, it can potentially explain several unresolved problems in quantum gravity, including the question of background independence and the cosmological constant problem. In this talk, I will discuss these issues and summarize my current efforts to incorporate matter fields. |
Tuesday, April 12, 2022 3:57PM - 4:09PM |
Z15.00002: Cartan rediscovered Donald C Salisbury, Jürgen Renn, Kurt Sundermeyer Élie Cartan's invariant integral formalism is extended to gauge field theory, including general relativity. This constitutes an alternative procedure that is equivalent to the Rosenfeld, Bergmann, Dirac algorithm. Also a new derivation of the generator of diffeomorphism-induced canonical transformations is given that proceed's from the Poincaré-Cartan form. In addition, a Hamilton-Jacobi formalism is developed for constructing explicit phase space functions in general relativity that are invariant under the full four-dimensional diffeomorphism group. These identify equivalence classes of classical solutions of Einstein's equations. Each member is dependent on intrinsic spatial coordinates and also undergoes non-trivial evolution in intrinsic time. The intrinsic coordinates are determined by the spacetime geometry in terms of Weyl scalars. The implications of this analysis for an eventual quantum theory of gravity are profound. |
Tuesday, April 12, 2022 4:09PM - 4:21PM |
Z15.00003: Inequivalence between Gravitational Mass and Energy for a Quantum Body Andrei G Lebed We introduce quantum electron passive gravitational mass operator in a hydrogen atom, taking into account both kinetic energy of electron motion in the atom and the Coulomb energy of electron-proton interaction [1]. It is shown that the Einstein’s equivalence principle is broken both at microscopic and macroscopic levels. Indeed, during individual quantum measurement of electron passive gravitational mass there is a small probability that the equation E=mc2 is broken. At macroscopic level, it is shown that for ensembles of the atom with stationary energies the above mentioned equation survives, as expected. On the other hand, for coherent ensembles of superpositions of two or several stationary states of the atoms the famous equation is shown to be broken. [1] A.G. Lebed, Mod. Phys. Lett. A, v. 35, 2030010 (2020). |
Tuesday, April 12, 2022 4:21PM - 4:33PM |
Z15.00004: Some Implications of Invariant Model of Boltzmann Statistical Mechanics to Quantum Gravity Siavash H Sohrab According to an invariant model of Boltzmann statistical mechanics, a factor of 1017 separates the scales of five major statistical fields of tachyon (graviton)-dynamics10-35 m, electrodynamics 10-18 m, hydrodynamics 100 m, astrophysics 1018 m, and galactic-dynamics 1035 m with “atomic” particles, graviton, electron, fluid-element, star, and galaxy [1] that are governed by an invariant Schrödinger equation. The nature of matter/anti-matter is described in terms of compression/rarefaction of physical space or Casimir vacuum identified as a compressible tachyonic fluid [1]. Origin of compressibility factor zc = 3/8 of van der Waals fluid is identified. Spectrum of quantized volume elements of physical space is described in harmony with modern concepts of quantum gravity [2-5]. The model also leads to Everett multiverse at scale (l, λ, L) = (1026, 1035, 1043), and entropy S = 4Nk of black hole with total thermal energy TS [1] in agreement with general relativistic statistical mechanics [4,5]. [1] Sohrab, S. H., ASME J. Energy Resources Technology 138, 1-12 (2016). [2] ‘t Hooft, G., Class. Quantum Grav. 16, 3263 (1999). [3] Ashtekar, A., Current Science 89, 12, 2064-2074 (2005). [4] Rovelli, C., Class. Quantum Grav.10, 1549-1566 (1993). [5] Major, S.A. and Setter, K. L., Class. Quantum Grav. 18, 5125-5142 (2001). |
Tuesday, April 12, 2022 4:33PM - 4:45PM |
Z15.00005: A Simple Experiment Tests Quantum Gravity Louise Riofrio A new tabletop experiment, which any laboratory or classroom can reproduce, indicates a link between gravity and quantum mechanics. This research began in cosmology, a universe of radius R = ct, where c is speed of light and t is age of the cosmos. Gravity then requires that GM = tc^3, where M is mass and G is the gravitational constant. In Planck units the two expressions combine as M = R = t, hinting that these microscopic units are fundamental. |
Tuesday, April 12, 2022 4:45PM - 4:57PM |
Z15.00006: The Covariant Force and Dipole Gravitational Radiation of a Relativistic Particle Franklin S Felber The covariant linearized tensor field and force equations of general relativity are transformed into a form identical to the vector equations of electromagnetism and are benchmarked to known solutions. These transformed equations of weak gravitational fields suggest that dipole gravitational radiation, as yet undetected, is a second-order nonlinear product of asymmetric radiation by all bound and unbound quadrupoles. Associated with these dipole gravitational waves is a particle that has the same spin and polarization vectors as a photon, rather than the spin and polarization tensors of a graviton. The covariant equations are benchmarked to the known solutions of: Unbound orbits in a Schwarzschild field; Hilbert repulsion; and a spherical mass in uniform motion. The transformed equations can be used: To apply many aspects of electromagnetism theory and electrodynamics to weak-field gravitation; to design new classes of laboratory tests of general relativity at high speeds, including tests of general relativity at ultrarelativistic speeds at the Large Hadron Collider; and to help characterize more accurately the coalescence of black holes and other compact binaries at gravitational wave observatories, like the Laser Interferometer Gravitational-Wave Observatory. |
Tuesday, April 12, 2022 4:57PM - 5:09PM |
Z15.00007: From Gravity Tunnels to Complex 6_Sphere and Fermat's Last Theorem Zhi an Luan A. J. Wiles 1985 obtained a (long) indirect implicit proof on the FLT. |
Tuesday, April 12, 2022 5:09PM - 5:21PM |
Z15.00008: Prime numbers and integers as black holes and stars in the analog Einstein static universe with dark energy Charli C Pal, Subodha Mishra It is found that when the prime numbers are represented by a quantum system the two body interaction comes out naturally the effective general relativistic gravitational like that of a black hole with the four acceleration diverging and for the integers in general the two body interaction is that of the attractive gravitational like interaction. Since numbers in general and prime numbers and integers in particular are time independent, the Einstein's static universe with a dark energy represents the universe of primes as black holes and integers as stars. The related wave function also provides the maximal prime number gaps consistently. The question is "Who ordered that ?" |
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