Mass shell

[AntonioLao]

The mass shell condition simply stated is the square of linear momentum component (p) equal to the square of the rest mass (m): p = m. This condition is totally relativistic by simply rationalizing the speed of light to unity: c = 1 instead of 300 000 kilometers per second or about 7 times around the world in one second. Furthermore, since relativistic linear momentum is defined as p = E/c and mass energy equivalence is defined as E = mc, for c = 1, then p = m = E is always true. However, this square of energy (E) makes more sense if it is quantized at the infinitesimal domain of the spacetime continuum.

Wherever and whenever the mass shell is plotted in the 1st and 2nd quadrants of the positive lightcone of an energy-momentum coordinate system with momentum as horizontal axis and total energy as vertical axis then the mass shell cross section is a hyperbola with oblique asymptotes as the edges of the lightcone both inclined at 45°. However, in a 2D momentum plot the mass shell become a single sheet positive hyperboloid. For all zero rest masses: photons, gluons, and gravitons their mass shells coincide exactly with the lightcone. For all other finite mass elementary particles starting with the neutrinos their mass shells are hyperboloids shifted above the positive energy axis. The heavier the particles the higher the positive shifts. In 3D momentum, these shifts become identical to the quantum vacuum displacements of spacetime charges while the hyperboloids themselves become the corresponding Klein bottle topologies with 720° rotational symmetry. Although the momentum configuration is 3D the embedding lightcone is a higher dimensional LOE (3-space and 1-time) and can be properly described by 4D Hopf topology using Hadamard matrices as quanta of squares of energy.

References: (1) Michio Kaku, Quantum Field Theory: A Modern Introduction, Oxford, 1993. (2) Martinus Veltman, Facts and Mysteries in Elementary Particle Physics, World Scientific, 2003

[mkirkpatrick]

Has consciousness Mass? Or is it shell like?



regards michael.

[everymansmedium]

Has consciousness Mass? Or is it shell like?



regards michael.

The predicate that I use indicates that Being is in the same catagory as matter. therefore it must have mass.


John EMM

[AntonioLao]

Absolute consciousness as square of the total energy of the universe in one dimensional Hopf topology has no mass, since mass is simply the ratio of different grouping of spacetime charges. 1 to 1 ratio has mass zero.