I have often marvelled at the enormous significance of the numbers 1 and 0. Not alone are these sufficent in quantitative terms to provide a means for potentially encoding all information, but likewise in qualitative forms they provide the basis for holistically encoding all transformation processes.
I have even suggested in previous blogs that there is a strong case for suggesting that all reality is number through the dynamic interaction of both the quantitative and qualitative aspects of these digits (that ultimately represent both form and emptiness).
It is therefore tempting to extend this perspective to both the prime and natural numbers to see clearly how they are involved at a more detailed level of investigation in creating the reality that we share.
This is also intimately related to the problem of explaining how original emptiness (which is likewise the potential for all phenomenal form) gives rise to the continually changing universe that we inhabit.
So emptiness (that holistically is represented by 0) is also the potential for all subsequent form. And as the basis of identifying such form is based on recognition of a separate unit of existence, then in holistic terms this is represented by 1.
Thus the recognition of these fundamental numbers 0 and 1 are already inherent in experience as eternal archetypes.
The question then arises as to how emptiness gives rise to form. Though ultimately this process remains utterly mysterious, we can however suggest the means by which it phenomenally occurs.
This is where the prime numbers come into play. The very essence of a prime number is its uniqueness. In conventional quantitative terms this would be expressed by saying that prime numbers are linear in nature (with no factors) and therefore represent the basic building blocks of the natural number system.
Likewise from a physical perspective prime "objects" would represent the basic building blocks of all physical matter.
However what is generally missed regarding the nature of prime numbers is that they are also unique in representing dimensional numbers. Now the dimensions relate directly to the qualitative nature of matter. So the natural i.e. in which conventional spacetime is experienced represent the varied multi-interactions of prime dimensions.
So if we are to enquire regarding the most fundamental "objects" of nature we would have to say that they are prime. Now this in fairness is what the concept of "strings" attempts to get at by defining them in linear terms. However the problem again with the conventional approach is that it gives these "objects" an actual existence in quantitative terms, whereas properly they have a merely potential identity. Secondly such prime "objects" are directly paradoxical in that they have a complementary dimensional (qualitative) aspect that is - relatively - of a circular nature.
So remarkably at the most fundamental level each prime "object", which still has a merely potential existence, is equally through its very nature a prime "dimension".
One way of understanding this is through recognition that inherent in such "objects" are both quantitative and qualitative characteristics that are utterly unique.
Now once again in a limited sense, string theory attempts to address this issue by admitting that in some way the dimensions of space and time are embodied in the strings. However because of the merely quantitative emphasis of Conventional Science, such dimensions are reduced to the "objects" concerned, leading in effect to the unsatisfactory requirement of giving these "objects" a pre-existing dimensional location in space and time.
So - properly understood - the very essence of a prime number is that it equally combines both quantitative and qualitative characteristics that are paradoxical in terms of each other. Indeed this is the lesson of the Riemann Hypothesis which is really a statement regarding the requirement for reconciling these two aspects.
So remarkably, potentially preceding phenomenal creation, unique prime "objects" serve equally as unique prime "dimensions". Put another way this implies that each unique "object" potentially possesses both a quantitative and qualitative aspect (as dimension).
However as soon as prime "objects" attain a fleeting phenomenal identity, the uniqueness with respect to qualitative characteristics gradually gives way to a shared dimensional context. In other words through interaction with other prime "objects", gradually a more stable natural existence is achieved. So by the time we reach the Planck length, sufficient stability will have been reached to enable starting identification of particles to take place.
What is remarkable is that by this stage the number of dimensions, which is potentially unlimited for prime "objects", will have been reduced to a small finite number. So String Theory - or rather M-theory - is now conceived in 11 dimensions. And indeed my own investigations from the psychological perspective, places considerable emphasis on 8-dimensional reality.
So one way of looking at physical reality below the Planck length is with respect to activity that takes place in a much higher number of dimensions. However because such activity still largely relates to prime notions (with little composite organisation of a natural kind yet achieved) phenomenal reactions are too short-lived with respect to space and time to enable detection. Therefore though some actual activity does necessarily take place, it remains too elusive to be phenomenally detected in explicit terms. So reality still remains far closer here to the emptiness (from which it emerged) than actual phenomena.
It is also tempting to conclude that these original prime "objects" with the mere potential to exist are in fact the prime numbers (with respect to both their quantitative and qualitative characteristics).
Once again these prime numbers therefore represent eternal archetypes which then become inherent in fundamental processes (with respect to both their quantitative and qualitative characteristics).
So therefore, seen in this light, in the deepest sense all natural phenomena of form actually represent the interaction of prime numbers with respect to both their quantitative (object) and qualitative (dimensional) characteristics.
In this sense the music of the spheres is but the phenomenal resonance of the prime numbers whose ultimate secrets remain hidden in eternal emptiness.
I have even suggested in previous blogs that there is a strong case for suggesting that all reality is number through the dynamic interaction of both the quantitative and qualitative aspects of these digits (that ultimately represent both form and emptiness).
It is therefore tempting to extend this perspective to both the prime and natural numbers to see clearly how they are involved at a more detailed level of investigation in creating the reality that we share.
This is also intimately related to the problem of explaining how original emptiness (which is likewise the potential for all phenomenal form) gives rise to the continually changing universe that we inhabit.
So emptiness (that holistically is represented by 0) is also the potential for all subsequent form. And as the basis of identifying such form is based on recognition of a separate unit of existence, then in holistic terms this is represented by 1.
Thus the recognition of these fundamental numbers 0 and 1 are already inherent in experience as eternal archetypes.
The question then arises as to how emptiness gives rise to form. Though ultimately this process remains utterly mysterious, we can however suggest the means by which it phenomenally occurs.
This is where the prime numbers come into play. The very essence of a prime number is its uniqueness. In conventional quantitative terms this would be expressed by saying that prime numbers are linear in nature (with no factors) and therefore represent the basic building blocks of the natural number system.
Likewise from a physical perspective prime "objects" would represent the basic building blocks of all physical matter.
However what is generally missed regarding the nature of prime numbers is that they are also unique in representing dimensional numbers. Now the dimensions relate directly to the qualitative nature of matter. So the natural i.e. in which conventional spacetime is experienced represent the varied multi-interactions of prime dimensions.
So if we are to enquire regarding the most fundamental "objects" of nature we would have to say that they are prime. Now this in fairness is what the concept of "strings" attempts to get at by defining them in linear terms. However the problem again with the conventional approach is that it gives these "objects" an actual existence in quantitative terms, whereas properly they have a merely potential identity. Secondly such prime "objects" are directly paradoxical in that they have a complementary dimensional (qualitative) aspect that is - relatively - of a circular nature.
So remarkably at the most fundamental level each prime "object", which still has a merely potential existence, is equally through its very nature a prime "dimension".
One way of understanding this is through recognition that inherent in such "objects" are both quantitative and qualitative characteristics that are utterly unique.
Now once again in a limited sense, string theory attempts to address this issue by admitting that in some way the dimensions of space and time are embodied in the strings. However because of the merely quantitative emphasis of Conventional Science, such dimensions are reduced to the "objects" concerned, leading in effect to the unsatisfactory requirement of giving these "objects" a pre-existing dimensional location in space and time.
So - properly understood - the very essence of a prime number is that it equally combines both quantitative and qualitative characteristics that are paradoxical in terms of each other. Indeed this is the lesson of the Riemann Hypothesis which is really a statement regarding the requirement for reconciling these two aspects.
So remarkably, potentially preceding phenomenal creation, unique prime "objects" serve equally as unique prime "dimensions". Put another way this implies that each unique "object" potentially possesses both a quantitative and qualitative aspect (as dimension).
However as soon as prime "objects" attain a fleeting phenomenal identity, the uniqueness with respect to qualitative characteristics gradually gives way to a shared dimensional context. In other words through interaction with other prime "objects", gradually a more stable natural existence is achieved. So by the time we reach the Planck length, sufficient stability will have been reached to enable starting identification of particles to take place.
What is remarkable is that by this stage the number of dimensions, which is potentially unlimited for prime "objects", will have been reduced to a small finite number. So String Theory - or rather M-theory - is now conceived in 11 dimensions. And indeed my own investigations from the psychological perspective, places considerable emphasis on 8-dimensional reality.
So one way of looking at physical reality below the Planck length is with respect to activity that takes place in a much higher number of dimensions. However because such activity still largely relates to prime notions (with little composite organisation of a natural kind yet achieved) phenomenal reactions are too short-lived with respect to space and time to enable detection. Therefore though some actual activity does necessarily take place, it remains too elusive to be phenomenally detected in explicit terms. So reality still remains far closer here to the emptiness (from which it emerged) than actual phenomena.
It is also tempting to conclude that these original prime "objects" with the mere potential to exist are in fact the prime numbers (with respect to both their quantitative and qualitative characteristics).
Once again these prime numbers therefore represent eternal archetypes which then become inherent in fundamental processes (with respect to both their quantitative and qualitative characteristics).
So therefore, seen in this light, in the deepest sense all natural phenomena of form actually represent the interaction of prime numbers with respect to both their quantitative (object) and qualitative (dimensional) characteristics.
In this sense the music of the spheres is but the phenomenal resonance of the prime numbers whose ultimate secrets remain hidden in eternal emptiness.
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