Once again,
by its very nature it requires going beyond the 1-dimensional standpoint of
standard Mathematics where all symbols are given a merely quantitative (analytic)
interpretation in absolute terms.

In the
holistic approach, while symbols do preserve their independent analytic
identity, they now possess a relative - rather than absolute - quantitative
meaning. Most importantly they additionally acquire a new - hitherto
unrecognised - qualitative identity which properly relates to interdependence
with respect to relationships.

So from the
holistic perspective, all symbols possess a - relative - independent identity in
quantitative terms, combined with a relative interdependent identity from a
qualitative perspective. And the very essence of the holistic approach is the
integration of both of these perspectives!

Thus it is
utterly pointless trying to judge the value of the holistic mathematical
aspect from within the limited confines of what is formally accepted as valid
Mathematics.

Rather I
suggest that its great potential value can be better appraised through the
manner, for example, that it can give a much more coherent explanation of the
true nature of our number system!

I have long
been fascinated by the nature of cyclic primes finding their properties quite
magical!

Cyclic
primes relate to the (repeating) decimal structure of the reciprocals of
certain prime numbers.

Now we
operate of course in a base 10 number system and not all primes are cyclic in
this base. For example, 5 clearly is not cyclic. So the reciprocal of 5 is 1/5
and in a base 10 system this is .2!

However in
the base 8 system for example, 5 is indeed fully cyclic with the repeating decimal
sequence of 1463. Fully cyclic in this context implies that the number of
digits in the repeating decimal sequence is 1 less than the number in question!

So indeed
given an appropriate number base, all primes - and only primes - can be given a
full cyclic sequence.

The first
and best know cyclic prime in the base 10 system is 7.

So the
reciprocal of 7 results in the repeating decimal sequence of the six digits
142857.

Now one of
the remarkable properties of this number is that when we multiply by 2, 3, 4, 5
and 6 the same digits keep repeating with the circular order remaining unchanged.

142857 * 2
= 285714

142857 * 3
= 428571

142857 * 4
= 571428

142857 * 5
= 714285

142857 * 6
= 857142

The
circular nature of such numbers becomes even more remarkable when we consider
the larger cyclic primes.

For example
97 is a cyclic prime. So when we multiply its 96 repeating digits by 2,
3…..96 the circular order of these 96 digits will remain fully preserved!

So there is
a wonderful magical order of a circular nature involved here which we can all
admire!

And this
represents just one fascinating aspect of the ordered structure of such primes!

However,
within Conventional Mathematics though we may indeed marvel at the unique
number nature of cyclic properties, because of the lack of an accepted
holistic dimension, the deeper significance of all this for the prime
numbers is completely missed.

Now once
again in conventional linear terms, the prime numbers (which have no constituents
factors other than the numbers themselves and 1)) are treated as the most
independent of all numbers, indeed as the essential building blocks of the
cardinal number system!

So 7 is a prime number!

Written
more fully (in a Type 1 manner) this is 7

^{1}.or to spell it out even more clearly 7^{+ 1}
Now the
reciprocal of 7 can be written as 7

^{– 1 }= 1/7.
As we have
seen, holistic interpretation starts with 2-dimensional - rather than
1-dimensional interpretation - where its structure is indirectly expressed (in
a quantitative manner) by the corresponding two roots of 1, i.e. + 1 and – 1.

However -
and this is the very essence of holistic interpretation - corresponding to
these two numbers + 1 and – 1, is a distinctive qualitative dimensional interpretation.

So as we
have seen the holistic meaning of + is - literally - to posit in experience, which refers
directly to conscious type recognition. However the holistic meaning of – is to
(dynamically) negate (what has been posited in conscious terms). And this is the
very means in experience through which unconscious recognition takes place!

So
therefore when we look at prime numbers in 2-dimensional holistic
terms, we recognise that by their very
nature they contain two extremes.

Thus from
the conscious perspective (with respect to its quantitative nature) they do
indeed appear as the most independent of all numbers serving as the basic
building blocks of the cardinal number
system (in a linear manner).

However
when we look at prime numbers from the unconscious perspective (with respect to
their qualitative nature) they now appear as the most interdependent of all
numbers serving as the unique basis for the ordinal number system (in a circular manner).

So the true
mystery of prime numbers relates to this marked independence with respect to
their cardinal identity, coupled with an equally marked interdependence with
respect to their ordinal identity.

Thus the
very nature of prime numbers is inherently dynamic entailing the interaction of
these two extreme tendencies.

Therefore
once again we cannot hope to understand the nature of prime numbers - and indeed
our number system - in mere quantitative terms (based on analytic type interpretation).

Rather the true
nature of prime numbers entails twin aspects that are relatively analytic (quantitatively
independent) and holistic (qualitatively interdependent) with respect to each
other.

When seen
properly in this dynamic context, the corresponding nature of the famed zeta
zeros is easy to appreciate as a set of numbers that establishes the mutual identity
of both aspects (quantitative and qualitative). The Zeta 2 - which are not even
conventionally recognised - uniquely establishes this within each prime number;
the Zeta 1 then establishes this identity for the number system as a whole.

When I read
the conventional literature on the Riemann Hypothesis, there are constant
references as to how mathematicians are so surprised with its connections to
the physical world of quantum theory.

Well I am
not at all surprised as from my dynamic appreciation of the nature of prime
numbers, I always assumed that this was necessarily the case!

Likewise we
have the same surprise expressed in relation to the fact that the zeta zeros strongly
resemble some spectrum relating to the vibration of physical frequencies.

Well again
I am not surprised as I have long considered this to be necessarily the
case.

Indeed I
would go considerably further in recognising a complementary (as yet
unrecognised) psycho-spiritual spectrum for all these zeros (which in the
future will play an extremely important scientific role with respect to the
most advanced meditation practices).

Indeed properly understood the physical
nature of the zeros cannot be properly understood in the absence of their
corresponding psychological appreciation (as both aspects are fully
complementary).

And as to
what is ultimately vibrating, the answer is simply the number system itself.

You see, the
existing paradigm - based on 1-dimensional interpretation - of the number system
existing in some abstract unchanging space is ultimately completely flawed.

When we look on the number system is a limited reduced manner - as we have been
doing for millennia - it certainly appears to have an absolute unchanging nature.

However
this is not as it truly is: in other words properly understood, in a dynamic interactive
manner, number serves as the deepest inherent encoding of all physical and
psychological processes in creation (in quantitative and qualitative terms).

Thus as soon
as creation vibrates in its first instants, the number system itself
vibrates with respect to the relationship between its quantitative and qualitative
aspects (which necessarily begin to separate to a degree with the birth of phenomena
in space and time)!

I have been
aware for some 50 years now of the need for a massive paradigm shift with
respect to Mathematics. And when I say massive, I mean massive as the
whole discipline now needs to be rebuilt on completely new foundations (where
holistic is fully recognised and then integrated with analytic interpretation and
where the role of the unconscious in mathematical understanding is likewise fully
recognised and then integrated with the conscious aspect).

Though I
realised this long before becoming acquainted with the Riemann Hypothesis,
growing acquaintance with this problem has only served to strongly confirm my
initial diagnosis.

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