Time in our universe is primarily used as a marker and travels forward / outward in one direction. Space in our universe is something we can travel through in all directions for any distance. In the quantum world, the situation is reversed. Space in the quantum world is like time. We can't travel through it, but it serves as a marker. Time, on the ( Read more... )

Einstein said that mass and energy were equal and were equivalent to each other . Energy can't be destroyed but energy can be converted to mass and mass can be converted to energy . The newest thing is quantum information and whether or not it can be destroyed . This is not an easy question to answer . For instance, you and I may speak different ( Read more... )

The hardest part about understanding the quantum world is to realize that it hasn't any physical space which we have to physically travel through in order to get from A to B. Travel through the quantum world is all about possibilities . On the surface , this doesn't seem to be such a big deal , but from our real world perspective it is a big deal ( Read more... )

Let us assume that all the primes to infinity lie on a horizontal line . While it is acknowledged that the primes lie on this horizontal line to infinity and are in order, we don't know precisely where the primes lie on this horizontal line in terms of their distance from each other. Let us assume that wherever the infinite primes are on the ( Read more... )

The Riemann Hypothesis involves an understanding of fractions . The largest fraction you can have is ( ½ ) or ( .5 ) . This may seem counter-intuitive, but to prove it simply subtract any fraction from ( ½ ) and you will end up with a positive fraction . The Riemann Hypothesis uses the formula ( 1 + ½ ^s + 1/3 ^s + ---- ) to infinity . In this ( Read more... )

Like a lot of people, I've been fooling around trying to prove Riemann's Hypothesis without much success. Let's suppose for the sake of argument that all the zeros lie on the line ( y = ½ ) . If they do, the solution for the Riemann Hypothesis brings us no closer to showing what the deep connection is between the zeta function and the distribution ( Read more... )

Riemann's Hypothesis is that all the non-trivial zeros lie on the line ( y = ½ ) and these zeros have something to do with prime numbers. The calculations done up to the present time have shown that the zeros are on the line ( y = ½ ) and there are yet more calculations to go. Let us suppose that each of Riemann's zeros are part of separate strings ( Read more... )

Riemann's Hypothesis is that all the non-trivial zeros lie on the line ( y = ½ ) and these zeros have something to do with prime numbers. Since Riemann's Hypothesis includes the line ( y = ½ ), let's chose a quantum energy system in which the energy levels are 2. Riemann's equation also included complex numbers. In a quantum energy system Riemann's ( Read more... )

Riemann's Hypothesis is that all the non-trivial zeros lie on the line ( y = ½ ) and these zeros have something to do with prime numbers. Since Riemann's Hypothesis includes the line ( y = ½ ), let's chose a quantum energy system in which the energy levels are 2. Riemann's equation also included complex numbers. In a quantum energy system Riemann's ( Read more... )

Mandelbrot, the inventor of fractals, when he worked for IBM was presented with a problem involving interference in the transmission of information. Every so often parts of the transmitted information would seem to randomly drop off / scramble which, needless to say, caused problems with the transmitted informational message. The problem had to be ( Read more... )