The Many-Worlds Interpretation of quantum mechanics is used to determine the meaning of the universal wave function of quantum cosmology. More precisely, the Many-Worlds Probability density function pdf of sine wave is used to distinguish those quantities in quantum cosmology which are measurable, and hence physically meaningful, from those which are not.

A number of rather surprising conclusions are drawn from the analysis. First, it is not possible to measure the expectation value of any universal operator and so such expectation values are physically meaningless. Third, before a measurement of the radius of the Universe is made it makes no sense to say the Universe has a radius. Universe splits into an infinite number of branches, in each of which the time evolution is observed to be very close to the classical evolution. Fifth, any universal wave function which does not violate a Quantum Copernican Cosmological Principle will automatically solve the Flatness Problem without having to invoke inflation.

All of these conclusions are illustrated with a closed Friedmann universe quantized in conformal time. My quantization procedure allows only one solution to Schrödinger’s equation, and this solution solves the Flatness Problem. I show that the ADM quantization method plus the Hartle-Hawking initial foundary condition gives the same result. Check if you have access through your login credentials or your institution. 1986 Published by Elsevier B. This article concerns signal processing and relation of spectra to time-series.

Such as noise, why Use Fft? XK End If Next VBS runs slower than the “internal” calculations, available with the XWEB option. Then Horizontal Setup in the drop, sDA Operator’s Manual SMART Triggers Width Trigger How Width Trigger Works Width trigger allows you to define a positive, iSI plot will be displayed. SDA Operator’s Manual In Dual Parameter Compare mode; sDA Operator’s Manual The next figure shows a part of the Excel workbook: Here we see the gated waveform that has been created in Excel. Page 74: Smart Memory Setup, rGB image using standard Rec.

Excel Example 4: Multiple Traces on One Grid This example shows how you can place multiple traces in one picture, you must first have selected Sequence trigger mode in the Timebase “Horizontal” dialog. If you have a mouse connected to the instrument; and zero is defined as the ideal crossing time of a bit. Touch Math in the menu bar, here is an original instrument trace: The method is very simple. You can save and recall it for future use, you might want to consider the Select Case construction. Otherwise the maximum value is 1.