Claim Missing Document
Check
Articles

Found 2 Documents
Search
Journal : Indonesian Physical Review

GEOMETRICAL OPTICS AS AN ABELIAN U(1) GAUGE THEORY IN A VACUUM SPACE-TIME Hadi, Miftachul; Muliyono, Suhadi
Indonesian Physical Review Vol. 7 No. 1 (2024)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v7i1.278

Abstract

As a consequence that geometrical optics (the eikonal equation) can be derived from Maxwell’s equations and Maxwell’s theory is nothing but an Abelian U(1) gauge theory, we propose that geometrical optics could also be treated as an Abelian U(1) gauge theory. We formulate geometrical optics as an Abelian U(1) gauge theory in a (3+1)-dimensional vacuum space-time as an approximation of the weak field. We show the explicit form of the phase, the gauge potential, and the field strength tensor related to the refractive index. We calculate numerically the refractive index and the magnetic field using the suitable parameters that we choose to mimic the real condition of nature. We obtain (without unit) the values of the refractive index  =1.0001 to represent a vacuum space-time and the amplitude ρ = 0.55853 related to magnitude of the magnetic field  = 0.10452 to represent the weak field.  The view of geometrical optics as gauge theory could be generalized or related to topological field theory where geometrical optics could have a topological structure in the case of the weak field.
A WEAK GRAVITATIONAL KNOT IN (2+1)-DIMENSIONAL EMPTY SPACE-TIME Hadi, Miftachul; Muliyono, Suhadi
Indonesian Physical Review Vol. 8 No. 1 (2025)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v8i1.346

Abstract

We propose the existence of a topological object, a weak gravitational knot, in the framework of an Abelian Chern-Simons action with a small positive cosmological constant in (2+1)-dimensional empty space-time.