Sunday, March 06, 2011

Is the set of possible angles in physical space continuous?

I found a note I'd written about a statement in the book Information: The New Language of Science by Hans Christian von Baeyer.

The statement:

[a beam splitter] can be designed to reflect any portion of the total between 0 and 100 percent.

My notes:

Is this true?

If x is the probability that a qubit [quantum bit] is a '0', what is the mathematical domain of x? What is the graininess of x? The set of possible values of x? Is the set finite? Infinite? If infinite, is it continuous?

Is there an experiment that could be performed to determine the angular granularity of space? A quick google search ... led me down a rabbit-hole of tangential reading.

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