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    Wyświetlanie 1-4 z 4
    Tytuł:
    A Gauge Model for Gravity and considerations on the Asymmetry of Time and the SU (2) Mass Gap
    Autorzy:
    Kabe, Koustubh
    Powiązania:
    https://bibliotekanauki.pl/articles/1178329.pdf
    Data publikacji:
    2017
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Gauge theory
    general relativity
    gravity
    loop quantum gravity
    mass gap
    quantum field theory
    quantum gravity
    string theory
    super gravity (SUGRA)
    super symmetry (SUSY)
    time
    time asymmetry
    Opis:
    A new formulation of the Hamiltonian formalism of general relativity is developed based on the adiabatic variation of the Hamiltonian constraint. This new formulation consists of complex valued anti-Hermitian 1- called the Berry gauge potentials. These are then used to develop the complex Berry-Einstein-Yang-Mills curvature 2- . The Berry-Yang-Mills field equations are then developed and interpreted in a novel manner to incorporate quantum temporal strings in the non-perturbative formalism. This is however just highlighted in this paper and will be pursued in another paper. Since, the holonomy phase construed is that of Lorentz rotation we perceive a new quantum structure of the space-time namely that of causality. The future light cones are soldered internally to the tensor fields naturally so that the Berry-Ehresmann connection defines a quantum gauge field of causality. This field evokes the causal structure attributed to space-time as gauge degrees of freedom of quantum space ― a fluid of future light cones. This symmetry being of the gauge field type has three generators i.e., three gauge bosons― all heavy and therefore attracted by gravity. Thus causality is a local gauge degree of freedom of gravity. Once the theory is developed, the problem of the mass gap is considered for our gauge field. It seems that the problem is solved in this paper.
    Źródło:
    World Scientific News; 2017, 81, 2; 198-220
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Condensed Geometry II: New Constraints, Temporal Confinement Phase and Structure and Interpretation of Space and Time
    Autorzy:
    Kabe, Koustubh
    Powiązania:
    https://bibliotekanauki.pl/articles/1190218.pdf
    Data publikacji:
    2016
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Ashtekar variables
    Loop Quantum Gravity
    surface states
    phase transitions
    string theory
    Opis:
    In this paper we basically intend to deductively study aspects and physical behavior of time in the Quantum Mechanical and Loop Quantum Gravity regime and the physical interpretations therein. The implicit gauge invariance of the vortical time is deduced. A new form of the Hamiltonian constraint is produced and the corresponding Vector or Diffeomorphism constraint is also introduced, the Gauss constraint being found to be the same as that in the original. The new consequences are discussed. The paper presents fresh new ideas and interpretations as well as perspectives on the spatial as well as the now introduced temporal aspects of Loop Quantum Gravity. In this we basically intend to deductively study aspects and physical behavior of Time in the Quantum Mechanical and Loop quantum gravity regime and the physical interpretations therein. In what follows, we provide a systematic mathematico-physical treatment of the vortical aspect of quantum gravity or a test quantum system, relative to space, as the time for that system. The implicit gauge invariance of the vortical time is deduced. A general theory of implicit and explicit gauge invariance is proposed. The gauging out of the acausality gauge degree of freedom is deduced and the causal direction of time is shown to nucleate out as a self ordered criticality due to a “tweaking” field which is shown to be a form of magnetic phase transition. This magnetic phase arising in the Kodama holomorphic wave functional universe, arises naturally due to the Ashtekar “magnetic” field in general. Also the wave-particle duality of gravity/ geometry as a quantum system is interpreted in terms of the physical role played by time. The long standing problem of the interpretation of the quantum mechanical time-inverse temperature has apriori been resolved with a heuristic interpretation. As an epilogue, the Pauli theorem on time as an operator has been discussed along with the standard proof.
    Źródło:
    World Scientific News; 2016, 44; 236-256
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hamilton-Jacobi/ Canonical Phase Transitions of Ashtekar LQG-Polyakov Strings: World Sheet Dynamics as Regelation through the d = 3 + 1 Spacetime
    Autorzy:
    Kabe, Koustubh
    Powiązania:
    https://bibliotekanauki.pl/articles/1179195.pdf
    Data publikacji:
    2017
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Ashtekar connectio-dynamics
    Loop Quantum Gravity
    Nambu-Goto action
    Polyakov path integral
    phase transitions
    string theory
    Opis:
    The following paper takes up an Ashtekar connectio-dynamics and algebraic quantum field theoretic treatment of a relativistic quantum string without SUSY and hence in four spacetime dimensions treats the Polyakov dynamics of a relativistic quantum string given explicitly by the Polyakov path integral in terms of a “canonical” phase transition where the string is imagined as a thread regelating through the “ice cube” of spacetime.
    Źródło:
    World Scientific News; 2017, 83; 206-211
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Fundamental Holographic Uncertainty Principle and its Primary Applications
    Autorzy:
    Kabe, Koustubh
    Powiązania:
    https://bibliotekanauki.pl/articles/1191787.pdf
    Data publikacji:
    2016
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    holographic principle
    holographic uncertainty principle
    Heisenberg uncertainty principle
    Landauer’s Principle
    blackhole entropy
    loop quantum gravity
    area operator
    quantum geometry
    general relativity
    corrected blackhole horizon
    Opis:
    The fundamental holographic principle is first proposed, then demonstrated in its validity and viability through a thought experiment and then finally derived. The Heisenberg uncertainty relations are shown to follow from this fundamental relation. The quantum blackhole entropy is then demonstrated using this holographic uncertainty relation along with the application of the Landauer’s principle for the thermodynamic erasure of a bit yielding a formula with a logarithmic correction. The blackhole entropy is found to be half the value normally delivered by any other method. So, it is proposed that there is a real relevant physical horizon at the twice the Schwarzschild radius dubbed the holographic information geometric horizon.
    Źródło:
    World Scientific News; 2016, 50; 33-48
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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