This book advances a number of conjectures describing gravitational and inertial interactions and time dilation. A model is described that explains the gravitational and inertial interactions in a form that unlike geometric models depends on the exchange of particles. Time dilation has been defined as the decrease in the rate of flow of time in a frame moving with respect to an outside observer. In contrast to this definition, this book characterizes time dilation as a measure of the increase in time taken by a process moving relative to space itself, not relative to the arbitrary location of an outside observer. Thus time dilation is not the slowing of time itself, but is the increase in time taken by a process moving through space relative to the process that moves more slowly through space. A process can be any process: atomic, chemical, biological or mechanical. The phenomena of time dilation and length contraction are interrelated. Length contraction is the contraction in length in the direction of motion of an object moving at relativistic speed. Measures of both phenomena vary with speed by the same factor. It is shown that the variations of time and length contraction with speed lead to relativistic mass, the increase in resistance to acceleration of an object as its speed relative to space increases. Nature's fundamental forces derive from the exchange of force particles such as photons and gluons that move through space at the speed of light between higher order particles such as electrons and quarks. The tempo of these particle exchanges form the basic time-keeping of all processes. If these particle exchanges occur between higher order particles that are themselves moving through space, the force particles have farther to move between the higher order particles. The greater the traverse, the longer it takes.