<p><BR/>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>Pi is a constant, a ratio and a real number. It is only irrational if you try to quantize it into an integer. It seems the universe doesn't work in discrete increments. Spacetime is a mathematical description. By what mechanism does the curving of space-time actually influence mass? <br />Posted by SpeedFreek</DIV></p><p>You have me confused wiht this one. Pi is an irrational real number, in fact it is transcendental. This has nothing to do with "quantizing" it. In fact I have no idea what you mean by quantizing pi. <br /> </p><p>The basic classification of real numbers is:</p><p>Natural numbers -- 1,2,3,4...</p><p>Natural numbers plus zero -- 0,1,2,3,4...</p><p>Integers -- -3,-2,-1,0,1,2,3...</p><p>Rational numbers --- things of the form p/q where p and q are integers</p><p>Algebraic numbers --- roots of polynomials with integer (or equivalently rational) coefficients</p><p>Real numbers --- numbers that can be represented as a position on the line (there is a rigorous, and incredibly boring, way to construct the real numbers using Dediking cuts)</p><p>Each of the above sets are contained in the following set and each is closed under addition, subtraction, multiplication and division by a non-zero member of the set. </p><p>Transcendental numbers are real numbers that are not algebraic. Pi is one such number.</p><p>You can also extend the real numbers to the complex numbers and talk about complex algebraic numbers as well.</p><p> </p><p>Curvature of space-time is the way in which general relativity describes gravity. So the curvature of space-time influences mass in pretty much the same way that gravity influences it in Newton's theory. Of course the effect is a bit different, since the two theories are not identical. </p> <div class="Discussion_UserSignature"> </div>