•  57
    Hamiltonian Map to Conformal Modification of Spacetime Metric: Kaluza-Klein and TeVeS (review)
    with Avi Gershon and Marcelo Schiffer
    Foundations of Physics 41 (1): 141-157. 2011.
    It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic flows on a manifold and an associated dual by means of a conformal map. This method can be applied to a four dimensional manifold of orbits in spacetime associated with a relativistic system. We show that a relativistic Hamiltonian which generates Einstein geodesics, with the addition of a world scalar field, can be put into correspondence in this way with another Ham…Read more
  •  55
    Hypercomplex quantum mechanics
    Foundations of Physics 26 (6): 851-862. 1996.
    The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective geometry of the weakly modular orthocomplemented lattice of propositions may be imbedded in a complex Hilbert space; this is the structure which has traditionally been used. This paper reviews some work which has been devoted to generalizing the target space of …Read more
  •  41
    On the two aspects of time: The distinction and its implications (review)
    with R. I. Arshansky and A. C. Elitzur
    Foundations of Physics 18 (12): 1159-1193. 1988.
    The contemporary view of the fundamental role of time in physics generally ignores its most obvious characteric, namely its flow. Studies in the foundations of relativistic mechanics during the past decade have shown that the dynamical evolution of a system can be treated in a manifestly covariant way, in terms of the solution of a system of canonical Hamilton type equations, by considering the space-time coordinates and momenta ofevents as its fundamental description. The evolution of the event…Read more
  •  35
    Quantum Interference in Time
    Foundations of Physics 37 (4-5): 734-746. 2007.
    I discuss the interpretation of a recent experiment showing quantum interference in time. It is pointed out that the standard nonrelativistic quantum theory does not have the property of coherence in time, and hence cannot account for the results found. Therefore, this experiment has fundamental importance beyond the technical advances it represents. Some theoretical structures which consider the time as an observable, and thus could, in principle, have the required coherence in time, are discus…Read more
  •  23
    Preface IARD 2008 Proceedings
    Foundations of Physics 41 (1): 1-3. 2011.
  •  21
    Lorentz Invariant Berry Phase for a Perturbed Relativistic Four Dimensional Harmonic Oscillator
    with Yossi Bachar, Rafael I. Arshansky, and Igal Aharonovich
    Foundations of Physics 44 (11): 1156-1167. 2014.
    We show the existence of Lorentz invariant Berry phases generated, in the Stueckelberg–Horwitz–Piron manifestly covariant quantum theory (SHP), by a perturbed four dimensional harmonic oscillator. These phases are associated with a fractional perturbation of the azimuthal symmetry of the oscillator. They are computed numerically by using time independent perturbation theory and the definition of the Berry phase generalized to the framework of SHP relativistic quantum theory
  •  20
    Preface
    with J. R. Fanchi and M. Land
    Foundations of Physics 35 (7): 1113-1115. 2005.
  •  17
    Preface
    Foundations of Physics 32 (12): 1807-1808. 2002.
  •  16
    Preface
    Foundations of Physics 37 (4-5): 456-459. 2007.
  •  15
    Preface
    Foundations of Physics 33 (8): 1153-1156. 2003.