**ABSTRACT **

The following paper is purely hypothetical in nature in that it is based on pure hypothesis and mathematical physics.** **The effect of Mach’s principle on the quantum regime has been studied especially with reference to the quantum mechanical vacuum and the Hawking radiation. A new concept of history dependent “energy reservoir” has been introduced as a consequence of Mach’s principle and associated with every free quantum particle-antiparticle pairs, based on Feynman’s idea of sum over histories of a particle and application of Mach’s principle to the quantum regime. A new H-field-anti-H-field has been associated with this reservoir that is shown to have a repulsive gravitational effect. It is in principal possible that these fields constructs a wormhole in spacetime taken as a (non-)classical one. This is in accord with the fact that wormholes cannot be constructed by classical means for all observable matter with positive energy. The large distance traversed by a particle in curved space in a very short time scale has been treated as a barrier penetration problem. The tunnel effect is produced by the associated H-field via the wormhole mechanism. An expression has been derived for the transmission coefficient for the potential (distance) barrier. The time scale of travel from one event situated to another event situated , where is very large, being very small, to any stationary or inertial observer in his proper frame the particle will appear to travel with velocities (being the velocity of light in vacuo space). From this it implicitly follows that the particle will have traveled from a time co-ordinate corresponding to to another time co-ordinate corresponding to the co-ordinate i.e. the particle will appear to have violated causality of spacetime and traveled in time.

**References **

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