Do you mean a "projection" of time? How do you "perceive" a single dimension of time? Are you sure you don't mean: how the property (voltage) against the parameter (time) corresponds to the Fourier Transform (an infinite continuum of frequencie amplitudes)? These concepts are not the same as dimensions, though they may be treated this way, mathematically, and this is not to be confused with the fact that voltage and time "have" dimensions (units). I think that the point of the thread is "metrical" dimensions. Voltage and time do not count in this context. Also, to comment on the probability curve, the frequencies all exist simultaneously at unit probability of existence. The superposition of these frequencies results in the observed temporal signal. This concept is useful in filter analysis and synthesis, but it does not imply multiple temporal dimensions, only a dual space between time and frequency. How could the state vary if it was the only thing that exists? Where would the surplus quantity come from (or where would it go)? If this situation is to be entertained, then it seems purely mathematical. Physics has conservation laws. Without them, we would have to start from scratch. Specifically, in electronics, there is never just a voltage. There is a system. On the system, there are inputs and outputs. If what you're talking about is the output of the system having a particular state, it is only so (assuming LTI and causal) because the transfer function interprets the input to be so. The input had to come from somewhere. You don't have to worry about it when you synthesize or analyze, but, physically, it comes from somewhere. This is EASY mathematically. Even to realize the representation is not hard. You could simply increase the dimension of your domain, from 1 to 2 D, for instance. Then, your 2 D domain would have a voltage surface associated with it.
Gravity "curves" spacetime. So, because of gravity, we would need at least one more dimension (at least 5 D) to describe the universe as a "flat" manifold, but gravity is the reason, not the extra dimensionality. For instance (cliche example), consider a sphere. It is a 3 D object, right? Well, it turns out that you can think of a sphere as a 2 D submanifold of 3 D flat space (the familiar 3 D cartesian space). The extra dimension is a little wierd because it changes direction depending on where you are on the sphere (assuming you would want it to be perpendicular), but that's what happens when things get curved. Why the sphere is curved could be a total mystery, but it is curved. The reason is not a dimension.
