virtual directions

[AntonioLao]

Compare to real physical directions which can be measured by specifying some angles within a given coordinate system, virtual directions cannot be so specified accordingly as such. On the other hand, using the sieve of Diophantus and its embedding system of Hadamard matrices virtual directions are represented by multi-dimensional square matrices of different orders, the simplest of these being all 2 by 2 matrices. Since every 2 by 2 matrix always has 4 elements, two always have the values of positive unity and two values of negative unity. Furthermore, symmetry requirement demands that the pairs always appear along the main diagonal such that the values of the traces are always either 2 or -2.

For 3 by 3 matrices the traces always have values of 3 or -3. For 4 by 4 matrices, the traces always have values of 4 or -4, 5 by 5 values of 5 or -5, 6 by 6 values of 6 or -6, 7 by 7 values of 7 or -7, 8 by 8 values of 8 or -8. For an infinite dimensions square matrix, the trace values are either positive infinity or negative infinity. This infinite matrix can be properly defined as the one and only singular matrix called a sieve of Diophantus. Each of these infinitely countable dimensional traces signifies the number of virtual directions within a particular ordered spacetime dimension. These are defined without specifying a given coordinate system or any set of angular measurements. Lastly, it can be noted that the trace of any square matrix is defined accordingly as the sum of the elements found along the main diagonal. In quantum mechanics, these sums can be imaginary numbers except of course if they happened to be Hermitian matrices as energy quantization of their real eigenvalues.

Concepts' references: http://mathworld.wolfram.com/HermitianMatrix.html and http://en.wikipedia.org/wiki/Hermitian_matrix

[mkirkpatrick]

Deep within our beings promptings arise and break the surface of waking consciousness these are directions of
soul unfoldment,are these virtual or real?



regards michael.

[Graybeard]

are these virtual or real?

They could be really virtual .. lol. Howzit goin you bloody pom.

Compare to real physical directions which can be measured by specifying some angles within a given coordinate system.......

Hi Antonio .... Perhaps you could help out once again in another thread starting HERE. We have become confused about this same issue

cool bananas ... greg

[AntonioLao]

are these virtual or real?

Most require physical proofs, some require mathematical proofs, a few require no proofs at all. I am first working the math proofs then hopefully the physical proofs from cold fusion.

[AntonioLao]

We have become confused about this same issue

If I accepted Wick's RLT then I'll be confused. But if I work on a theory of directional invariance for
quantization of spacetime continuum of squares of energy then my confusion disappeared.