I was reading Paul Allen’s “The Idea Man” recently which I found fascinating on several levels (especially with respect to his relationship with Bill Gates and the founding of Microsoft).

Clearly both Allen and Gates were extremely talented individuals with a special gift for programming. What I did not realise however was the extraordinary amount of work that they put in eventually leading to the founding of Microsoft.

In Jungian personality terms, whereas Gates would have been an S, Allen clearly was more of an N type. Though the relationship between them was never easy, the combination of Gates’ pragmatism and ruthless realism allied to Allen’s creative vision and shrewd reading of technical developments effectively led to the founding of Microsoft.

However as regards the survival of the fittest with respect to Microsoft ultimately only one person would assume control which inevitably meant Bill Gates.

In the end whereas Gates was intent on making Microsoft his life, Allen wanted the freedom to devote his energies to a hotch potch of differing interests (which his immense wealth has facilitated).

Reading this book got me thinking again with respect to my own “visionary perspective” for the future of computers.

Once again the present IT revolution depends heavily on the quantitative use of the binary system i.e. in the ability of using a series of 1’s and 0’s to encode information.

However I have long advocated a second qualitative binary system that would make use of the holistic interpretation of 1 and 0 with the potential power to encode all transformation processes. 1 in this context relates to linear logic as the actual basic for encoding (unitary) form whereas 0 relates to circular logic as the corresponding indirect basis for encoding emptiness i.e. nothingness (as the potential source of all form).

And it is in the interaction of form and emptiness at all levels of reality that we have continual transformation.

Now up to this I have always tended to associate this second type in its most developed state with the human species especially with respect to the potential for considerable spiritual transformation.

And as evolution of such spiritual potential in general is of a very slow nature, this would place considerable limits on the possibilities of radical “computer” developments in the near future with respect to the use of this qualitative binary system. Indeed - as I have so often stated - it is not even formally recognised in current scientific thinking where the basis paradigm is almost exclusively built on the recognition of - merely - one qualitative digit (i.e. 1 corresponding to the linear logic of form).

Now the human species represents an organic biological life process (which is distinct from the mechanistic type of systems associated with quantitative IT type developments).

However it struck me recently that perhaps it is mistaken to confine possible developments with respect to the alternative qualitative system to advances in human spiritual evolutionary development (which could take a long time).

In other words other biological life processes could perhaps be created through laboratory means with far greater potential for rapid spiritual development. If this is true then this would entail that an alternative qualitative IT revolution could then be directly associated with the use of these biological life forms that would be capable of acting in a highly creative manner.

Indeed from one perspective, just as current IT devices can be seen as an extension of the human personality with respect to facilitating information of all kinds, in time these alternative qualitative IT devices - relating directly to “creative” intelligent biological life forms - would then be seen as an extension of the human personality with respect to facilitating transformation, leading to the potential for very rapid spiritual evolution in humanity.

However this brave new world would raise very grave issues regarding democracy and control with perhaps the human species having to recognise that it no longer can dominate in this regard but rather would have to concede considerable rights to new intelligent life forms that have been initially biologically created through artificial means.

Of course the ultimate IT revolution would then combine both the quantitative possibilities for encoding information with the qualitative possibilities for encoding transformation.

In fact I am slowly coming to the realisation that - when appropriately appreciated - what we know as reality is in fact but the operation of this ultimate IT system (most of whose secrets have yet to be revealed).

One obvious realisation that will flow from the mastery of this final comprehensive IT system is that phenomenal reality itself - on all levels - is capable of direct transformation.

Put another way phenomenal reality - when properly understood - can be seen to represent but the dynamic configuration of the binary digits (with respect to both their quantitative and qualitative aspects).

Therefore the changing of phenomenal reality in any context ultimately relates to the ability to appropriately reconfigure this digital system (with respect to both its quantitative and qualitative aspects).

We are very far from proper realisation of this at the moment. However the very fact that I am even writing about such possibilities would suggest that the starting recognition of such an ultimate IT system has already commenced.

And in the deepest sense this equally implies recognition of the true nature of our essential personalities as God incarnated in phenomenal form.

## Thursday, June 30, 2011

## Wednesday, June 15, 2011

### Prime Mystery

As always we can provide a complementary psychospiritual account of the phenomenal activity (corresponding to what in physical terms lies below the Planck length).

As we have discussed before with increasing contemplative activity, phenomena of form take on a more transparent elusive quality. This ultimately relates to the dynamic manner in which the basic polarities of experience increasingly interact.

So - quite literally - experience becomes of a higher dimensional nature. Ultimately therefore the relationship between polarities becomes so rapid that it is no longer possible - in explicit terms - to follow their movement. So at this stage it is thereby not possible to provide a coherent refined rational interpretation of the subtle inter-relationships implied by these dimensions. In other words as the very attempt to provide such an interpretation would itself interfere with the dynamic level of interaction already attained, one must abandon formal interpretation in any explicit manner.

Put another way as relationships are now of an increasingly (circular) paradoxical nature, any attempt to objectively explain their nature would introduce an undue linear influence that would thereby distort their intrinsic nature.

This corresponds well with the nature of physical relationships below the Planck length where relationships become so circular and paradoxical that they strongly conflict with the standard notions, such as independent existence and unambiguous movement in space and time that so characterise the linear approach.

So whereas present M-Theory is defined for a 11 dimensional framework for physical activity down to the Planck length (setting thereby a limit to explicit physical investigations of matter), we can safely say therefore that the implied physical reality lying below the Planck length would exist with respect to an increasingly large number of dimensions.

Once again interpretation here is shrouded in deep paradox. Ultimately we have maintained that what defines the prime constituents of reality is that each unique "object" is associated likewise with a unique "dimension". However as we approach closer to recognition of the unique dimensional (qualitative) nature of each "object", the inter-relationships with other "objects" becomes so dynamic that we are unable to preserve any independent identity to these objects.

It may be instructive to explain a little more what is meant by multi-dimensional in this context.

As stated before the dimensions relate to directions with respect to the fundamental dimensions polarities of experience (internal/external and whole/part).

With linear interpretation (which is 1-dimensional in this perspective) external is separated from internal and then identified with whole/parts as independently existing objects.

2-dimensional interpretation is more refined where one accepts that a continual interaction as between internal and external polarities takes place leading to a consequent continual transformation in what is observed.

Then with 4-dimensional interpretation increasing interaction as between holistic and analytic notions of whole and part also take place.

Basically with progressively higher dimensions, one obtains an increasing ability to precisely control in experience the degree of emphasis in any context that is given to (internal) psychological interpretation or external physical observance from one perspective and from the other the precise emphasis on analytic (part) or (holistic) whole notions.

Now with higher-dimensional appreciation one realises that in phenomenal terms that we are always relating to mere appearances with respect to reality (which constantly change). Therefore one thereby surrenders any belief in precisely fixing the nature of such appearances. And with this one likewise surrenders the use of any explicit linear aspect with respect to interpretation.

So in similar terms at the higher dimensions below the Planck length (in physical terms) manifestations with respect to phenomena likewise change so quickly that it becomes impossible to preserve any fixed element. So relationships become increasingly paradoxical and circular in nature confounding all accepted scientific notions (with respect to independent existence and conventional notions of space and time).

So independent objective reality as we know it is associated with the need to continually reduce the qualitative nature of objects by likewise reducing the number of dimensions used to interpret reality. Indeed one could argue that the very need to still use four collective dimensions for identifying all macro objects sets a limit on the independent nature of these objects (as they still all require this same collective spacetime background).

In corresponding psychospiritual terms as one grows in awareness of the truly unique nature of objects (in what spiritually is referred to as the immanent aspect), ultimately again such objects become so transparent that they ultimately lose any independent characteristics. And at this stage interpretation of experience becomes so highly multi-dimensional that one can no longer preserve any explicit rational interpretation of such experience.

So properly understood we can never divorce the ultimate nature of physical reality from the corresponding means by which it is psychologically interpreted for both aspects are in truth complementary (and ultimately identical).

There is another fascinating point that can be made in this context.

Just as the original nature of matter is prime (where quantitative objective and dimensional qualitative aspects start from a state of total confusion), ultimate psychospiritual realisation in experience entails the same prime relationship (where however quantitative and qualitative are now maturely integrated).

So - quite literally - the very process of achieving such ultimate psychospiritual realisation requires the rooting out of all unreformed primitive instincts at an unconscious level.

Thus in the truest possible sense the resolution of the mystery of the prime numbers cannot be divorced from the realisation of ultimate spiritual union (where one approximates to removal of any residual conflict as between the quantitative and qualitative aspect of experience).

As we have discussed before with increasing contemplative activity, phenomena of form take on a more transparent elusive quality. This ultimately relates to the dynamic manner in which the basic polarities of experience increasingly interact.

So - quite literally - experience becomes of a higher dimensional nature. Ultimately therefore the relationship between polarities becomes so rapid that it is no longer possible - in explicit terms - to follow their movement. So at this stage it is thereby not possible to provide a coherent refined rational interpretation of the subtle inter-relationships implied by these dimensions. In other words as the very attempt to provide such an interpretation would itself interfere with the dynamic level of interaction already attained, one must abandon formal interpretation in any explicit manner.

Put another way as relationships are now of an increasingly (circular) paradoxical nature, any attempt to objectively explain their nature would introduce an undue linear influence that would thereby distort their intrinsic nature.

This corresponds well with the nature of physical relationships below the Planck length where relationships become so circular and paradoxical that they strongly conflict with the standard notions, such as independent existence and unambiguous movement in space and time that so characterise the linear approach.

So whereas present M-Theory is defined for a 11 dimensional framework for physical activity down to the Planck length (setting thereby a limit to explicit physical investigations of matter), we can safely say therefore that the implied physical reality lying below the Planck length would exist with respect to an increasingly large number of dimensions.

Once again interpretation here is shrouded in deep paradox. Ultimately we have maintained that what defines the prime constituents of reality is that each unique "object" is associated likewise with a unique "dimension". However as we approach closer to recognition of the unique dimensional (qualitative) nature of each "object", the inter-relationships with other "objects" becomes so dynamic that we are unable to preserve any independent identity to these objects.

It may be instructive to explain a little more what is meant by multi-dimensional in this context.

As stated before the dimensions relate to directions with respect to the fundamental dimensions polarities of experience (internal/external and whole/part).

With linear interpretation (which is 1-dimensional in this perspective) external is separated from internal and then identified with whole/parts as independently existing objects.

2-dimensional interpretation is more refined where one accepts that a continual interaction as between internal and external polarities takes place leading to a consequent continual transformation in what is observed.

Then with 4-dimensional interpretation increasing interaction as between holistic and analytic notions of whole and part also take place.

Basically with progressively higher dimensions, one obtains an increasing ability to precisely control in experience the degree of emphasis in any context that is given to (internal) psychological interpretation or external physical observance from one perspective and from the other the precise emphasis on analytic (part) or (holistic) whole notions.

Now with higher-dimensional appreciation one realises that in phenomenal terms that we are always relating to mere appearances with respect to reality (which constantly change). Therefore one thereby surrenders any belief in precisely fixing the nature of such appearances. And with this one likewise surrenders the use of any explicit linear aspect with respect to interpretation.

So in similar terms at the higher dimensions below the Planck length (in physical terms) manifestations with respect to phenomena likewise change so quickly that it becomes impossible to preserve any fixed element. So relationships become increasingly paradoxical and circular in nature confounding all accepted scientific notions (with respect to independent existence and conventional notions of space and time).

So independent objective reality as we know it is associated with the need to continually reduce the qualitative nature of objects by likewise reducing the number of dimensions used to interpret reality. Indeed one could argue that the very need to still use four collective dimensions for identifying all macro objects sets a limit on the independent nature of these objects (as they still all require this same collective spacetime background).

In corresponding psychospiritual terms as one grows in awareness of the truly unique nature of objects (in what spiritually is referred to as the immanent aspect), ultimately again such objects become so transparent that they ultimately lose any independent characteristics. And at this stage interpretation of experience becomes so highly multi-dimensional that one can no longer preserve any explicit rational interpretation of such experience.

So properly understood we can never divorce the ultimate nature of physical reality from the corresponding means by which it is psychologically interpreted for both aspects are in truth complementary (and ultimately identical).

There is another fascinating point that can be made in this context.

Just as the original nature of matter is prime (where quantitative objective and dimensional qualitative aspects start from a state of total confusion), ultimate psychospiritual realisation in experience entails the same prime relationship (where however quantitative and qualitative are now maturely integrated).

So - quite literally - the very process of achieving such ultimate psychospiritual realisation requires the rooting out of all unreformed primitive instincts at an unconscious level.

Thus in the truest possible sense the resolution of the mystery of the prime numbers cannot be divorced from the realisation of ultimate spiritual union (where one approximates to removal of any residual conflict as between the quantitative and qualitative aspect of experience).

## Monday, June 13, 2011

### I Can Hear Music!

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.

## Sunday, June 12, 2011

### Good Vibrations!

In physics the Planck length is the order of magnitude of the vibrating strings that form the physical particles.

It is then postulated that it is not meaningful to probe below the Planck length. However it seems to me that this masks a considerable degree of philosophical confusion with respect to the very notion of strings.

For if it is not in principle possible to give physical meaning to distances less than the Planck length which is incredibly small at about 10^(- 20) the size of a proton, then how can strings themselves be given a physical meaning?

As I have stated before there are inherent philosophical difficulties with the manner in which physicists attempt to define strings.

Indeed from one valid perspective, what they are attempting to do is to achieve the reductionist fallacy of defining the ultimate constituents of the universe in merely quantitative terms (devoid of any qualitative meaning).

So from this perspective physical particles (which necessarily have qualitative characteristics) come into existence through the vibration of strings.

However such vibration could only have meaning in the context of a pre-existing spacetime environment for the strings. However these same spacetime dimensions are supposed to be in some way derived from the strings!

So really this attempted explanation of the nature of strings lacks any proper coherence.

I have long maintained that the notion of a string has a merely potential - rather than actual - significance. Secondly this notion has two complementary aspects which through interaction are linear and circular with respect to each other.

For convenience we can identify the quantitative aspect of the potential string with the linear aspect. Now this is what the conventional approach likewise defines. However it then makes the untenable reductionist assumption whereby the qualitative is reduced to quantitative interpretation so that the string is misleadingly defined in actual terms.

We can then identify the qualitative aspect of the potential string with the circular aspect. In mathematics is we raise 1 to a fractional power (dimension) its result will lie on the circle of unit radius in the complex plane.

In corresponding fashion to properly relate the linear quantitative aspect of the potential string with its - relatively - corresponding qualitative dimensional aspect, we must employ circular logic with respect to this latter aspect.

It is only through the dynamic interaction of both aspects of the string that physical particles can achieve a manifest actual physical existence (that exhibit both quantitative and qualitative characteristics).

Physicists maintain that the existence of such particles can only occur at or above the Planck length.

Now the very measurement of physical attributes in standard scientific terms assumes that linear type notions can be applied to the physical world e.g. where particles assume a certain independence and distances in space and time have an unambiguous positive meaning. We can then detect - literally - natural particles.

Natural numbers are made up of the primes and other composite numbers (derived from the primes).

In like manner natural phenomena are made up of prime and other composite varieties. It is therefore highly likely that what seem the basic natural particles already involve a high level of composition of more fundamental elements (below the Planck length).

Because the prime and natural are in dynamic terms interrelated they necessarily always co-exist together. However as we approach closer to the emptiness from which all matter emerges, the prime aspect becomes more pronounced, with any natural element arising, of an extremely fleeting short-lived nature.

So it is certainly possible that below the Planck length that a dynamic reality does exist that however in practical terms remains unobservable.

Such a reality would then exist overwhelmingly - not in linear spacetime - but rather in a paradoxical prime spacetime.

I have stated before that the very essence of a prime number is that it combines unique quantitative and qualitative aspects (that are linear and circular with respect to each other). So in extremes, this leads to the direct confusion of linear with circular notions. For example in linear terms a particle exists at some definite location. In circular terms it is however in an undefined location existing holistically everywhere. So prime spacetime involves the attempt to reconcile both notions (which are paradoxical in terms of each other).

We can perhaps portray what is involved here best with reference to psychological notions.

What is most prime i.e. primitive at this level entails the direct confusion of conscious (linear) with unconscious (circular) meaning. Thus the more primitive an instinctive impulse, as in earliest infancy, the more short-lived and fleeting it necessarily is in experience. Thus the attempt to embody what is holistic and universal directly in a limited phenomenal manner leads to the collapse of any dimensional context for the impulse (with the corresponding disappearance of the associated phenomenon).

In like manner at the most prime level of physical reality, the attempt to directly identify a dimensional context of space and time (circular) with a physical phenomenon (linear) leads to the immediate erosion of both aspects (i.e. spacetime and phenomenon).

So at a very low level of composition, prime reality would remain undetectable in phenomenal terms. However as levels of organisation increase, phenomena would attain sufficient stability to become detectable. So they would then emerge into a natural physical environment dictated by increasingly linear notions of space and time.

In this context the inability as yet to detect the graviton (the supposed transmitter of the gravitational force) is revealing.

I have likened before (in physical terms) the gravitational force to the role of the unconscious (from a psychological perspective).

This would entail therefore that any transmission of this force would relate to an extremely early stage of prime spacetime. This insight is also replicated in string theory by the prediction that the graviton corresponds to the lowest possible energy level of the string!

This could therefore imply that the phenomenal element associated with gravity is so minuscule that it will remain impossible to detect (in any physically discernible manner).

Put another way, this is a phenomenon related largely to circular (holistic) rather than linear (analytic) notions.

Moreover a considerable amount of activity is likely to take place below the Planck length governed mainly by circular rather than linear notions. So what we term the fundamental particles may largely represent - simply - what can be phenomenally detected (in linear terms) while concealing many layers of further physical organisation that take place in prime spacetime (below the Planck length).

As to the nature of the emptiness from which prime and natural physical actvity ultimately emerge "God Only Knows".

It is then postulated that it is not meaningful to probe below the Planck length. However it seems to me that this masks a considerable degree of philosophical confusion with respect to the very notion of strings.

For if it is not in principle possible to give physical meaning to distances less than the Planck length which is incredibly small at about 10^(- 20) the size of a proton, then how can strings themselves be given a physical meaning?

As I have stated before there are inherent philosophical difficulties with the manner in which physicists attempt to define strings.

Indeed from one valid perspective, what they are attempting to do is to achieve the reductionist fallacy of defining the ultimate constituents of the universe in merely quantitative terms (devoid of any qualitative meaning).

So from this perspective physical particles (which necessarily have qualitative characteristics) come into existence through the vibration of strings.

However such vibration could only have meaning in the context of a pre-existing spacetime environment for the strings. However these same spacetime dimensions are supposed to be in some way derived from the strings!

So really this attempted explanation of the nature of strings lacks any proper coherence.

I have long maintained that the notion of a string has a merely potential - rather than actual - significance. Secondly this notion has two complementary aspects which through interaction are linear and circular with respect to each other.

For convenience we can identify the quantitative aspect of the potential string with the linear aspect. Now this is what the conventional approach likewise defines. However it then makes the untenable reductionist assumption whereby the qualitative is reduced to quantitative interpretation so that the string is misleadingly defined in actual terms.

We can then identify the qualitative aspect of the potential string with the circular aspect. In mathematics is we raise 1 to a fractional power (dimension) its result will lie on the circle of unit radius in the complex plane.

In corresponding fashion to properly relate the linear quantitative aspect of the potential string with its - relatively - corresponding qualitative dimensional aspect, we must employ circular logic with respect to this latter aspect.

It is only through the dynamic interaction of both aspects of the string that physical particles can achieve a manifest actual physical existence (that exhibit both quantitative and qualitative characteristics).

Physicists maintain that the existence of such particles can only occur at or above the Planck length.

Now the very measurement of physical attributes in standard scientific terms assumes that linear type notions can be applied to the physical world e.g. where particles assume a certain independence and distances in space and time have an unambiguous positive meaning. We can then detect - literally - natural particles.

Natural numbers are made up of the primes and other composite numbers (derived from the primes).

In like manner natural phenomena are made up of prime and other composite varieties. It is therefore highly likely that what seem the basic natural particles already involve a high level of composition of more fundamental elements (below the Planck length).

Because the prime and natural are in dynamic terms interrelated they necessarily always co-exist together. However as we approach closer to the emptiness from which all matter emerges, the prime aspect becomes more pronounced, with any natural element arising, of an extremely fleeting short-lived nature.

So it is certainly possible that below the Planck length that a dynamic reality does exist that however in practical terms remains unobservable.

Such a reality would then exist overwhelmingly - not in linear spacetime - but rather in a paradoxical prime spacetime.

I have stated before that the very essence of a prime number is that it combines unique quantitative and qualitative aspects (that are linear and circular with respect to each other). So in extremes, this leads to the direct confusion of linear with circular notions. For example in linear terms a particle exists at some definite location. In circular terms it is however in an undefined location existing holistically everywhere. So prime spacetime involves the attempt to reconcile both notions (which are paradoxical in terms of each other).

We can perhaps portray what is involved here best with reference to psychological notions.

What is most prime i.e. primitive at this level entails the direct confusion of conscious (linear) with unconscious (circular) meaning. Thus the more primitive an instinctive impulse, as in earliest infancy, the more short-lived and fleeting it necessarily is in experience. Thus the attempt to embody what is holistic and universal directly in a limited phenomenal manner leads to the collapse of any dimensional context for the impulse (with the corresponding disappearance of the associated phenomenon).

In like manner at the most prime level of physical reality, the attempt to directly identify a dimensional context of space and time (circular) with a physical phenomenon (linear) leads to the immediate erosion of both aspects (i.e. spacetime and phenomenon).

So at a very low level of composition, prime reality would remain undetectable in phenomenal terms. However as levels of organisation increase, phenomena would attain sufficient stability to become detectable. So they would then emerge into a natural physical environment dictated by increasingly linear notions of space and time.

In this context the inability as yet to detect the graviton (the supposed transmitter of the gravitational force) is revealing.

I have likened before (in physical terms) the gravitational force to the role of the unconscious (from a psychological perspective).

This would entail therefore that any transmission of this force would relate to an extremely early stage of prime spacetime. This insight is also replicated in string theory by the prediction that the graviton corresponds to the lowest possible energy level of the string!

This could therefore imply that the phenomenal element associated with gravity is so minuscule that it will remain impossible to detect (in any physically discernible manner).

Put another way, this is a phenomenon related largely to circular (holistic) rather than linear (analytic) notions.

Moreover a considerable amount of activity is likely to take place below the Planck length governed mainly by circular rather than linear notions. So what we term the fundamental particles may largely represent - simply - what can be phenomenally detected (in linear terms) while concealing many layers of further physical organisation that take place in prime spacetime (below the Planck length).

As to the nature of the emptiness from which prime and natural physical actvity ultimately emerge "God Only Knows".

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