Prespacetime Journal ( PSTJ, http: //www.prespacetime.com) is a publication in which physicists, mathematicians and other learned scholars publish their research results and express their views on the origin, nature and mechanism of spacetime and its possible connection to a prespacetime. It is also a journal where all learned scholars can present their models and experimental results on elemental particles, fundamental forces including gravity and related topics. This is PSTJ Volume 3 Issue 6 first published in April 2012. It is entitled On Fractional Calculus, Q-Computation, Lorentz-invariant Gravity, Axiomatic Method & Physical Intuition and contains following articles: (1) Application of the Numerical Laplace Transform on the Simulation of Fractional Differential Equations; (2) Electromagnetic Transient Analysis of Networks Described by Equations of Fractional Order; (3) Computer Hardware of the Future: Will the Classical-wave Simulated Long Qubyte Trump the True-quantum Qubit? (4) On Lorentz-invariant Theory of Gravitation Part 1: Review; (5) Is Indeed Information Physical? (6) A Disconnect: Limitations of the Axiomatic Method in Physics; (7) Physical Intuition What Is Wrong with It? (8) Axially Symmetric Dark Energy Cosmological Model in Scalar Tensor Theory of Gravitation; and (9) LHC Update: 8 TeV Collisions Started & 1/fb Delivered.