eight corners of directions

[AntonioLao]

A degree of freedom (DOF) is defined in physics as a pathway system can gain or lose energy. This can imply that the pathway is acted locally and globally in one dimension. However, the DOF is certainly much more effective within a local infinitesimal perspective. Many successful physical theories were formulated to describe it. The first notable person to attempt a physical description was Ludwig Boltzmann (1844-1906). Limited number of DOF gave Boltzmann the idea for the existence of atoms and molecules. On the other hand, infinite number of DOF gave Faraday and Maxwell the idea for the existence of fields of forces. Physical descriptions of both particles and fields and their interactions become the serious topics of research for the latest quantum field theories. Nonetheless, a final theory of quanta (particles) and fields still does not exist.

The direction of a point in space-time whether local or global cannot be described or represented by a single number. Furthermore, since a direction is measured by its angular displacement with respect to a given axis, the existence of the former implies the prior existence of the latter. Both the axis and the angle can then be used to establish a given coordinate system. In this case, it is the polar coordinate system established by specifying every space-time point as P(r,q). In a Cartesian rectangular system, three orthogonal axes X, Y, and Z specify a point P(x,y,z). In spherical coordinate system the same point is specified as P(r,q,f). Clearly, the third implies the prior existence of the first and the second with three defined axes to boot. Nevertheless, a true direction in the space-time continuum shouldn’t need the specification of any coordinate system. The belief of coordinate free physical quantities led to the mathematical inventions of vectors, tensors, spinors, and twistors. Unfortunately, none of these can be used to describe a complete TOE about a quantum space-time, since all of these subsumed a hidden coordinate system from within while truly coordinate free states must at most subsume a coordinate system from without and at the least it only needs to subsume the existence of a coordinate free norm (distance) as the square root of the sum of squares of eight closest neighboring distances. The scalar product of the square norm and the square of equal magnitude primary forces establish a singular square of energy as a quantum of space-time. Similarly, playing billiards, eight ball in the corners or in the side pockets decides the winner of a fair game.

[mkirkpatrick]

If we are here and now,from which direction would we hail
from?




regards michael

[austintorn@aol.com]

Inward couldn't go inward any further, so all went outward.

[Profpat]

Inward couldn't go inward any further, so all went outward.

Yes, I agree, to the 8 corners, or its octants, of the cube, or sphere, a quanta of 3 dimensional space perhaps?

[AntonioLao]

Totally complete inward bound directions is equivalent to a space-time contraction and totally complete outward bound directions is equivalent to a big bang expansion of a spherically symmetric closed volume.

[Profpat]

Totally complete inward bound directions is equivalent to a space-time contraction and totally complete outward bound directions is equivalent to a big bang expansion of a spherically symmetric closed volume.

So it could be a spherical shaped universe and not necessarily your mobius model?

[Lloyd Gillespie]

Totally complete inward bound directions is equivalent to a space-time contraction and totally complete outward bound directions is equivalent to a big bang expansion of a spherically symmetric closed volume.

Hi Antonio, great to see you are still at it. I always follow your posts, as you offer great depth of insight.

Tell me, what is your opinion between these two directions, of how the vacuum is created and maintained? Spin? Condensation? Compactification or what? Or could the vacuum have even been greater in its initial quantum state, iff quantum initially, and now exists as a less vacuumized degree? Any ideas would be much appreciated...rrr

regards,

[AntonioLao]

So it could be a spherical shaped universe and not necessarily your mobius model?

However, equal magnitudes totally complete inward bound vectors create a static dimensionless point of space-time. Nonetheless, it takes only one unequal magnitude direction to effect the big bang expansion. This is similar to a sphere with a hole even if the hole is just a point on the surface of the sphere. The Mobius topology could have one or two of these dimensionless holes.

[AntonioLao]

how the vacuum is created and maintained?

I theorized that the quantum vacuum is really the combinatorial topology of space-time charges of H+ and H- as squares of infinitesimal units of zero-point energies. A unit of physical reality takes at the least 8 of these space-time charges. But if the numbers of H+ and H- are odds then the created configuration is called a fermion while even numbers are reserved for bosons. However, odd-even configurations are reserved for the potentiality of the quantum vacuum itself which viewed macroscopically as the continuity of the space-time continuum.