[AntonioLao]

Imaginary numbers as part of complex numbers made their appearance in physical theories starting with Einstein’s theory of special relativity. Although complex analysis facilitates convenience in computational procedures for classical mechanics, electrodynamics, and thermodynamics, the implication is that the real parts are the ones that carry physical contents. There are three distinctive equivalent notations for a given complex number z: z = a + ib, z = r( cosq+ isinq), and z = rexp{iq}. The powers or products of z with itself indicate continuous conformal mapping of the complex plane into itself. Depending on the angular value of the rotational pivot vertex of a complex triangle, the continuous conformal mapping can produce self similarities with constant areas or progressively increasing or decreasing areas with clockwise or counterclockwise rotational invariance.

[AntonioLao]

These rotationally dynamic conformal areas, at the most, could only represent constant volumes, increasing volumes, or decreasing volumes in multidimensional space-time as for example the expansion of the universe. They could not represent quantum field densities. For that, nonzero masses are required since density is defined as mass per unit volume. If mass is initializing at zero like the photons, gravitons, and gluons then they couldn’t have produced subsequently all the massive element particles. Yet, the Higgs mechanism as responsible for spontaneous broken symmetry was supposed to give reasons for the existence of massive W’s and Z bosons of electroweak theory. However, the use of products of Hadamard matrices to get the masses of elementary particles made the need for spontaneous broken symmetry unnecessary and hence the extraneous parameters of Higgs mechanism and the need to discover the scalar Higgs boson. The good news is that perfect symmetry remains intact. This is the perfect symmetry between the positive vacuum and the negative vacuum.

[mkirkpatrick]

Originally Posted by AntonioLao These rotationally dynamic conformal areas, at the most, could only represent constant volumes, increasing volumes, or decreasing volumes in multidimensional space-time as for example the expansion of the universe. They could not represent quantum field densities. For that, nonzero masses are required since density is defined as mass per unit volume. If mass is initializing at zero like the photons, gravitons, and gluons then they couldn’t have produced subsequently all the massive element particles. Yet, the Higgs mechanism as responsible for spontaneous broken symmetry was supposed to give reasons for the existence of massive W’s and Z bosons of electroweak theory. However, the use of products of Hadamard matrices to get the masses of elementary particles made the need for spontaneous broken symmetry unnecessary and hence the extraneous parameters of Higgs mechanism and the need to discover the scalar Higgs boson. The good news is that perfect symmetry remains intact. This is the perfect symmetry between the positive vacuum and the negative vacuum.

What about an absolute vacuum,Antonio! Would that change the situation
somewhat?
kind regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick What about an absolute vacuum

Quantum field theories assert that the absolute vacuum is massless. However, the false vacuum is massive as it is dominated by the scalar Higgs field. And the masses of all other elementary particles were manifested by spontaneous symmetry breaking of this relatively false vacuum through a Higgs mechanism (a way of creating mass out of the vacuum). This correctness of this concept is pending its verification by the discovery of the Higgs boson.

[mkirkpatrick]

Higgs-bosons are hiding in a place just outside of the physical universe?Maybe they cannot be found,because Mr higgs and his boson buddy,are just figments of imagination!
They exist in the mind,rather than in reality??Relativily speaking that is!


regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Mr higgs and his boson buddy,are just figments of imagination!

Could be some bosons if they explain the mystery of real mass and not imaginary mass as stated in Feynman rule.

[mkirkpatrick]

Originally Posted by AntonioLao Could be some bosons if they explain the mystery of real mass and not imaginary mass as stated in Feynman rule.

The real mass is realized when Will is understood,imaginary mass is the MESS we are in
when we fail to understand Will?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick The real mass is realized when Will is understood

Real will is firm and strong and relentless.

[mkirkpatrick]

Originally Posted by AntonioLao Real will is firm and strong and relentless.

Absolutely Antonio,just like you and me?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick just like you and me

But if our separate wills are tied together similar to tying our legs then the speed to reach the truth is slowed down considerably.