We are now going to see how the holistic mathematical appreciation of the complex roots (of the 8 roots of 1) can be used to provide a coherent philosophical understanding of the nature of physical light (as a form of electromagnetic energy, representing one of the four forces of nature).
Newton believed that light was composed of particles (corpuscles) However later experimental evidence seemed to suggest that light was composed of waves. This then remained the accepted wisdom until Einstein in attempting to explain quantum statistics proposed once again that light was composed of particles.
Then eventually further findings suggested that light can be composed of either particles or waves (depending on the nature of the experiment) now known as the wave/particle duality of light.
Einstein also speculated on what it would be like to travel on a beam of light.
With respect to the light itself ("travelling" at light speed) time does not pass. Thus in this sense light always exists in the present moment (continually renewed).
It is only when we attempt to measure the interaction of light with phenomena (necessarily travelling at less than light speed) that notions of finite time and space can now assume a certain validity.
However, it has long seemed clear to me that one of the complex roots (of the 8 roots of 1), when properly decoded in holistic mathematical terms, provides the appropriate scientific means for appreciation of the true nature of light.
Thus if we take once more the root in the UR quadrant to illustrate i.e. 1/k (+ 1 + i) where k = 1/√2, we can see that it contains both real and imaginary parts that are equal to each other.
This can be interpreted as meaning that light is equally composed of both waves and particles.
So when the existence of the wave aspect is demonstrated through experiment, this is now "real" (with the unobserved article aspect "imaginary").
However when the existence of the particle aspect is then alternatively demonstrated through experiment, it now becomes the "real" aspect (with the unobserved wave aspect now "imaginary").
Thus both wave and particle aspects can assume either a "real" or "imaginary" identity, depending on context.
One might then ask about the situation where both real and imaginary aspects simultaneously exist!
Well, this relates to the the nature of light while "travelling" at light speed.
So just as the diagonal line (in the UR quadrant) can be represented by the complex coordinates 1/√2 and 1/√2i, equally it can be represented as a null line = 0.
Therefore when we maintain the simultaneous identity of both "real" and "imaginary" aspects, light is revealed as a null line = 0 (i.e. as without any phenomenal identity).
This starkly reveals the truly mysterious nature of light. Within its own term of reference ("travelling" at light speed) it has no phenomenal identity,
Thus in relation to Einstein's question as to what it would be like to travel on a beam of light, we would need thereby to suspend any notion of light waves or light particles as having any separate existence.
It is only therefore when we consider the interaction of light with phenomena of form (travelling at less than light speed) that we then can meaningfully separate both wave and particle aspects in an either/or fashion.
However there is a much deeper implication here. In holistic mathematical terms, both "real" and "imaginary" are used in a dynamic relative sense, where both keep alternatively switching as between each other.
This is analogous to the very manner in psychological terms how conscious and unconscious likewise keep dynamically switching.
Thus in Jungian terms when one function e.g. sensation is made conscious in experience, its complementary opposite function (i.e. intuition) is thereby rendered unconscious.
Then when intuition is turn is made conscious, sensation is thereby rendered unconscious. So these two functions are thereby properly "real" and "imaginary" with respect to each other.
This entails that we cannot properly understand the nature of light in a merely physical manner, but rather in a dynamic interactive psycho physical fashion, Thus the demonstration of both "real" and "imaginary" aspects physically with respect to light, is dynamically complemented in experience by corresponding psychological aspects that are both conscious and unconscious with respect to each other.
And the complementary psychological aspect to the null nature of physical light ("travelling" at light speed) is a corresponding null nature in psycho spiritual terms (as pure nondual reality).