tires, automatic defroster, and long-playing record attachment. "Relax," said Hanson; "I'm not going to argue with you." "Good. Now let's get down to business." "Exactly what do you want?" Maculay pondered for a moment. "Do you understand variable-matrix radiation mechanics?" "Probably as little as you know synaptic pressure theory." "That's the trouble. I can't explain in detail what I want. I can only explain by analogy. Look, Doc, for eight years I've been experimenting with some mathematics along an entirely new field of theory. Indications are that gross matter can exceed the velocity of light under certain conditions; but in attempting to define these conditions by mathematical formulation I've hit a snag." "What manner of snag?" Cliff leaned back in his chair and stared at the ceiling. He was physically relaxed, now, but only Doctor Hanson could hazard a guess as to how much of this man's metabolism went into the job of keeping that big brain in high gear. "Physical matter cannot, of course, exceed the speed of light in universal space. However, normal space is no longer normal when it is warped by electrostatic fields, electromagnetic flux, or gravitational lines. These universal effects produce a warping of physical space to such an extent that the warped area is no longer a part of, or connected in any way with the universal space we know. It becomes a small island of separate space which may be accelerated or retarded. That's the snag, Doctor." "I don't see it." "I always end up with one equation that has two answers. Theoretically, one must be real and one must be imaginary, somewhat like the solution to a simple quadratic; in that case you can disregard the answer that tells you that you are confronted with a minus quantity of mass, for instance, and you can select the positive quantity as being correct with neither difficulty nor ambiguity. In this case, being more complex by far, I find two roots indicating a positive and negative space, mutually inimical. And, what causes the trouble is the fact that the determinant depends upon the development of a negative-gravitic field."