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  • A duality between curvature and torsion 
    Khanapurkar, Swanand; Singh, Tejinder P. (World Scientific Publishing, 2018-01)
    Compton wavelength and Schwarzschild radius are considered here as limiting cases of a unified length scale. Using this length, it is shown that the Dirac equation and the Einstein equations for a point mass are limiting ...
  • Einstein-Cartan-Dirac equations in the Newman-Penrose formalism 
    Khanapurkar, Swanand; Varma, Abhinav; Mittal, Nehal; Gupta, Navya; Singh, Tejinder P. (American Physical Society, 2018-09)
    We formulate the Einstein-Cartan-Dirac equations in the Newman-Penrose (NP) formalism, thereby presenting a more accurate and explicit analysis of previous such studies. The equations show in a transparent way how the ...
  • Nonrelativistic limit of Einstein-Cartan-Dirac equations 
    Khanapurkar, Swanand; Pradhan, Arnab; Dhruv, Vedant; Singh, Tejinder P. (American Physical Society, 2018-11)
    We derive the Schrödinger-Newton equation as the nonrelativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in an earlier work in the literature, while deriving ...
  • Path Integrals, Spontaneous Localisation, and the Classical Limit 
    Bhatt, Bhavya; Chander, Manish Ram; PATIL, RAJ; Mishra, Ruchira; Nahar, Shlok; Singh, Tejinder P. (De Gruyter, 2020-02)
    The measurement problem and the absence of macroscopic superposition are two foundational problems of quantum mechanics today. One possible solution is to consider the Ghirardi-Rimini-Weber (GRW) model of spontaneous ...
  • Trace dynamics, and a ground state in spontaneous quantum gravity 
    Roy, Abhinash Kumar; SAHU, ANMOL; Singh, Tejinder P. (World Scientific Publishing, 2021-02)
    We have recently proposed a Lagrangian in trace dynamics to describe a possible unification of gravity, Yang–Mills fields, and fermions, at the Planck scale. This Lagrangian for the unified entity — called the aikyon — is ...
  • Spontaneous localisation from a coarse-grained deterministic and non-unitary dynamics 
    KAKADE, KARTIK; Singh, Avnish; Singh, Tejinder P. (Elsevier B.V., 2023-12)
    Collapse of the wave function appears to violate the quantum superposition principle as well as deterministic evolution. Objective collapse models propose a dynamical explanation for this phenomenon, by making a stochastic ...