Whether Something is Fourier or Laplacian Based
A Fourier Transformation is time based, while a Laplacian Transformation is not time-based. Discrete units of time are not the smallest metrics, though. Duration that is smaller than a discrete unit of time is known as a gauge-metric. So, even though a gauge-metric involves kinematic activity that occurs during the course of either an instanton or during the course of Ultimon Flow that is not during an instanton, such activity is considered to be -- in a sense -- a transpiring that is to happen over a Laplacian Transformation, since such activity happens within a discrete unit of time. Fourier Transformations always involve at least two or more instantons -- no matter how you fractor the associated transformation. In Newtonian mechanics, a Laplacian Transformation may involve many instantons that, even together, considering the scenario, are relatively non-time-oriented. So, for the most part, what is considered Fourier (time-oriented) or what is considered Laplacian (non-time-oriented) is relative to the scenario that one is considering. Yet, non the less, any differentiation that happens within an instanton, is, in a real sense, of the nature of a Laplacian Transformation. So, even though gauge-metrics are of sub-time, understanding their activity is quintessential to understanding the relativistic mechanics that underline the activity of the light-cone-gauge. Whithout the light-cone-gauge, E(6)XE(6) strings would be unable to form Schwinger Indices. Without Schwinger Indices, the Rarita Structure would not vibrate -- causing gravity to not take effect via the Ricci Scalar. Without gravity, everything would fly apart and there would be nothing.
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