3 citations · 6 across the 9 of their papers we have counts for
4 papers · 1 filter
Derivation of Relativistic law of Addition of Velocities from Superposition of Eigenfunctions and Discreteness
Mushfiq Ahmad
We have defined a slowness, s, as the reciprocal conjugate of velocity, v. s = -ih/v. We have shown that Einstein's postulate (v has an upper limit) implies that s is discrete. A v…
Reciprocal Symmetric Boltzmann Function and Unified Boson-Fermion Statistics
Mushfiq Ahmad, Muhammad O. G. Talukder
The differential equation for Boltzmann's function is replaced by the corresponding discrete finite difference equation. The difference equation is, then, symmetrized so that the e…
Reciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy Levels
Mushfiq Ahmad
Classical oscillator differential equation is replaced by the corresponding (finite time) difference equation. The equation is, then, symmetrized so that it remains invariant under…
Reciprocal Symmetric and Origin of Quantum Statistics
Mushfiq Ahmad
Boltzmann's differential equation is replaced by the corresponding reciprocal symmetric finite difference equation. Finite difference translates discreteness of energy. Boltzmann's…