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Hence we are brought to differential equations as embodying causal laws. A physical law does not say "A will be followed by B," but tells us what acceleration a particle will have under given circumstances, i.e. it tells us how the particle's motion is changing at each moment, not where the particle will be at some future moment.
No matter how you move the things around it, as long as the things around it don't exert an influence on the particle, the particle's memory of where it's been and where it's going form a continuous straight line through space and must, therefore, have spatial co-ordinates against which to form a 'memory' pattern of former and future action.
A particle in motion makes it possible for the fabric of space to smooth itself out behind the particle; and the fabric attempts to smooth itself on through the area occupied by the particle while it is moving, and so the fabric of space smoothing itself is a constant thrust behind the particle's motion, continuing that motion and making the particle scat to where he wasn't going.
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