[Guille]

Originally Posted by AntonioLao Sorry, I could not find any simple explanation for the product of two frequencies. What I'm working on is the ratio of spatial frequency over temporal frequency and this gives the speed of light.

From what numbers are the spatial frequency and temporal frequency derived?

As you said that the ratio of these is the speed of light, I believe the multiplication of these gives the lorentz force. Is it possible?

[AntonioLao]

Originally Posted by GUILLE From what numbers are the spatial frequency and temporal frequency derived?

The spatial is derived from Dy=y2-y1 and the temporal is derived from Dt=t2-t1.
The product of these are the space-time interval of special relativity which is an invariant and with the value of zero.

[Guille]

Originally Posted by AntonioLao The spatial is derived from Dy=y2-y1 and the temporal is derived from Dt=t2-t1. The product of these are the space-time interval of special relativity which is an invariant and with the value of zero.

What is meant by "space-time interval" here?

[AntonioLao]

the following definitions were taken from the websites at

http://www.drphysics.com/syllabus/in.../interval.html
and
http://scienceworld.wolfram.com/phys...eInterval.html

[dleviwing]

I think I would interpret this as saying that time is always the present and thus zero and invariant.

[michellemfry]

Originally Posted by AntonioLao Michelle, Thanks for your comment. But I'm still perplex why matter prefers states of low energy, while energy prefers higher states of energy or square of energy which is the same as quantized spacetime.

I thought paradoxes did not occur in nature. You have one right there.

[AntonioLao]

Originally Posted by michellemfry You have one right there.

Like human beings, they do the opposite of what they were told, electron are not allowed by the Pauli exclusion principle to come together, yet all electrons want to stick together, while the photons are allowed to superpose as many of them into one point in spacetime yet natural photons tend to run away from each other as radiation unless they were stimulated by spontaneous emission as in LASER.

[dleviwing]

Originally Posted by AntonioLao Like human beings, they do the opposite of what they were told, electron are not allowed by the Pauli exclusion principle to come together, yet all electrons want to stick together, while the photons are allowed to superpose as many of them into one point in spacetime yet natural photons tend to run away from each other as radiation unless they were stimulated by spontaneous emission as in LASER.

The clear fact of the matter is that light is a wave and that there is no such thing as a "traveling photon". A photon is a discrete amount of e/m energy that is emitted or absorbed by matter and between those events it has no identity. Rather, the e/m field develops continuously according to Maxwell's equations.

[AntonioLao]

Originally Posted by dleviwing that light is a wave

In addition to light being a wave, it also moves like a wave, acts like a wave, talks like a wave, and dies like a wave in quantum-particle annihilation.

[humanbydefault]

There is no such thing as empty orbitals according to the way I see it.
There is a clear cut difference between matter and energy along the scale of energies we are "allowed" to probe, but it is my firm belief that at the center of "matter creation" [the atom itself] matter and energy are the same and the perfect compromise. It answers the paradox of why low state of energy in matter and high in radiation. The point of convergency between both concepts lies in those deep levels we have no way to get into. The human-made range or scale of frequencies, energy could manifest itself across the "band," is just a tip of the iceberg in front of the vast energy populating the cosmos. I'd say that the LIMIT between matter and energy is not meant to be definable by any means available and we have no other choice but to consider them holistically fused together for as long as this universe exists.
I also believe that the reason for achieving a lower energy level with regard to molecular bonds has more to do with the laws governing the entire universe than with a "local" and "individual" case in the lab.
Entanglement is a typical example of how two waves [no matter the distance between them] will be always "dependent" of the status of its partner-wave.
It's beyond the conditions of our human lab or the fact that the EPR was done in the planet Earth... It's irrelevant for that matter.
Entanglement is a property that depends on the nature of the structure of our universe. It's a non-local phenomenon as it is also the reason why bonds tend to achieve the lowest energy state.
We could keep searching forever the reason of this complex process but at the end we must have to be content with the fact that we were just humans and that means that we could if we want to... being able to replace an impossible and stubborn experimental conclusion that will never come for a more holistic and [true...a faith-based?] type of approach.
Back to why the emptiness inside the orbitals... A piano or any other musical instrument has the ability to produce every existent "musical note" of the known musical scale. I know! a pleasurable sensation derived from vibrations interpreted by our brain... blablabla. But music is made with just a very limited number of those notes in conjunction to form harmonies inside accords or group of notes that relate to each other in a physical way.
Putting all of the notes together will not make music but noise. If you measure the "life-span" of the harmony inside a musical play it will show that notes interact with each other in a way that help the "existence" of those vibrating waves longer than what they normally would... It's called "standing waves." If those "empty spaces" were filled [as any partial human-logic would dictate] matter would last a fraction of a second and no universe would exist. That is my personal opinion in regard to these questions.

HBD