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Logical Beginnings
Harmonic Resonance is the source of the Structure.
This means that the harmonic effect proceeds from this source.
Starting with [a] the well-tempered VOID (Guido Tonelli) the uncertainty/certainty principle is examined
within the binding/non-binding oscillations of symmetry-making & symmetry-breaking & spin-direction;
including comment on [b] the Well Tempered Climate Accord & 30 years of UNFCCC-(non)-compliance.
In the light of that, essay observes how measurements of the: -
1. First Law - the inversality of wave length:frequency give the
2. Rates & Ratios of the waves of the Harmonic Series (HS) show the wave-length to the wave-frequency;
3. Where the wave-length decreases in proportion to the frequency-increase and the
5. Well-tempering of 12 Perfect 5ths to the equivalence of 7 Perfect Octaves with 12 Tempered fifths which gives the
5. Primary 'harmonic field' which in turn reveals the
6. 'Divine Proportion' - Phi - at HS step 12.618
are integrated & immersed in the symmetry & certainty within the natural order of the original void.
The harmonic series creates Phi & these are inseparably bound together in space-time ('stringularity').
This is the 'well tempering' that underpins the 'Well Tempered Climate Accord'.
At source from black holes to dark matter, the connection between these is always fundamental.
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The Field & the Knower of the Field
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श्रीभगवानुवाच इदं शरीरं कौन्तेय क्षेत्रमित्यभिधीयते एतद्यो वेत्ति तं प्राहु: क्षेत्रज्ञ इति तद्विद
śhrī-bhagavān uvācha ida śharīra kaunteya khetram ity abhidhīyate etad yo vetti ta prāhu khetra-jña iti tad-vida
The Blessed Lord said: O son of Kunti, this body is referred to as the 'field'.
Those who are versed in this call him who is conscious of it as the 'knower of the field'.
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The First Law
The wave length:frequency law - halve the length double the frequency
The 'net-zero' certainty of the Harmonic Series
Prof Guido Tonelli at CMS & Fabiola Gionetti of ATLAS were team leaders at CERN in the
long search that led to the announcement in 2012 of the measurement of the Higgs Boson.
In his recent book 'Genesi' about this, he writes as follows: -
“Original chaos, understood as the void, is anything but disorderly. There is no more strictly ordered, regulated & symmetrical system
than the void. Everything belonging to it is strictly codified, every particle of matter goes hand in hand with its corresponding antiparticle,
every fluctuation dutifully observes the constraints of the uncertainty principle, everything moves to a cadenced & well-tempered rhythm,
a perfect choreography without improvisation or virtuosic excess.”"The void itself is not chaotic; it is Well-Tempered."
By stating that the original void is orderly & well-tempered, this remarkable statement recognizes as fact the 'harmonic series' (HS) simply exists.
As minute fluctuations have been detected at the void's tiny level of order, a state of 'net-zero' exists around the ordered structural-certainty of this
well-tempered 'numeraire'. Still the order is present, constant, stable & symmetrical, catalystically shaping evolution throughout until the present day,
where direct 'Natural' evidence of its existence & effects remains visible, audible & quantifiable as rates & ratios at any scales of time & space.
Tonelli goes on to say, "the total energy of the universe as a system is the same as if it were a void . . . . or to put it better, that it is still now
simply a void state that has undergone a metamorphosis, seems to be the most convincing hypothesis offered by modern cosmology,
or at any rate the most consistent with the countless number of observations that have been collected to date."
When a respected particle physicist identifies this, it is significant as the structural-certainty of these measurements is the harmonic series, sympathetic resonance,
feedback & organic growth constitute a base against which all the various uncertainties of all life & death (in all their only partial disclosure) may be investigated.
Is it perhaps not more plausible therefore to draw the inference that for example the Higgs Boson is a function of the Well tempered Void,
rather than that the the Well Tempered Void is a function of the Higgs Boson.
The Harmonic Series is natural - it is 'innate organic intelligence', not 'artificial digital intelligence'.
As the harmonic series is fundamental to the 'well-tempered void', effectively it is 'providence', 'force-majeure' or an 'act of god' where it is
the fundamental & also dynamic (reflexive) structure of the rates:ratios of these numbers (not the names) that are 'deterministic' at scale.
It is worth emphasizing at this point that there is nothing 'artificial' (contrived by man or 'mad-made') about this intelligence.
The harmonic or 'orderly void' is providential (natural) & precedes the appearance of man (homo-sapiens) by at least 13.7 billion years.
Perhaps Pythagoras & Plato were correct (see 'Harmony' M Pommier) in foreseeing that well-temperedness is prerequisite to the emergence of life &
life on earth as we know it. The dynamics of well tempering appear to underpin everything. Could life & the universe even exist if this were not so?
Some dicussion of the human history of the discovery & measurement of the Pythagorean Comma
Let this self-referential 'Stringularity' be the numeraire of Harmonic Certainty & 'organic growth'
Well tempering is a self-referential structure that commutes & appeals to no argument beyond itself (completeness). Its dominant 7th chord modulates
through the circle of 12 5ths in the same 'Herz-time' as 7 perfect octaves. This ratio is deterministic & fundamental to equal-temperament or well tempered tuning.
Whatever down-stream arguments appear for uncertainty, indeterminacy & 'Darwinian' behaviour, deterministic & catalystic Stringularity informs them all.
At source, this order is a 'compound-singularity', & observing & measuring the well-temperedness of this order is self-referential.
The rates & ratios of this well-tempered 'harmonic certainty' give a numeraire that is complete & integral to the birth of space-time.When the differences between 12 Perfect & 12 Well Tempered 5ths (the Pythagorean Comma) over the first 7 octaves are fedback on themselves the proximity of
Phi, Pi & Alpha as precursors of the photo-electric effect, photo-synthesis & organic growth emerge to progressions that can vary over the development of space-time.
'Net-zero at the void' does not alter the Harmonic Series & its derivative Phi.
'Net-zero at the void' (N-ZV) where all pluses have equal minuses doesn't alter this. N-ZV is an embellishment not unlike what musicians call vibrato.
Vibrato is in a player's technique for locally blurring but locally & globally not fundamentally altering the basic rates & ratios of the harmonic series.
Indeed it can argued that inferring & declaring a consensus for "net-zero at the void" is actually code for saying 'we don't really know what the comment
"net-zero at the void" means' unless the void is well-tempered i.e. time-space is already ordered & musically or self-referentially structured at the outset.
Full-disclosure of how the Well Tempered Void generates Phi is simple & easily demonstrated.This leads to intriguing results
In appreciation of Pisa’s sons Tonelli, Galileo & his Luthier father Vincenzo & their history-making lenses.
The well-tempered spacing used above is same as the ‘equal temperament’ finger board of lutes made by Vincenzo.
And the relationship between the Periodic Table & the Harmonic Series
Detailed numbers here.
Isn't Tonelli of the CMS group at CERN really saying this? If so is he unique for saying this?
The ATLAS group at CERN under Fabiola Gianotti produced remarkably similar results.
John Archibald Wheeler said towards the end of his life: -
”It is my opinion that everything must be based on a simple idea and it is my opinion that this idea, once we have finally
discovered it, will be so compelling, so beautiful, that we will say to one another, yes, how could it have been any different.”
Doesn't the Genesi remark by Tonelli more suggest the first word than the last . . . ?
The Uncertainty Principle
Quantum mechanics emerged in the 20th Century. Heisenberg's 'uncertainty principle' was deduced in 1927.
This principle fundamentally constrains the accuracy with which as 'complementary quantum variables' both: -
[a] the position of sub-atomic particles & also
[b] their momentum can be measured.
It declares the view that the more we can know about [a] the less we know about [b] & vice versa.
This kind of uncertainty seems to amount to a 'partial-disclosure rule' when attempting to measure the origin of space-time.The 'net-zero' uncertainty of 'quantum foam'.
The uncertainty principle underlying the Standard Model of Particle Physics was developed at institutions such as CERN using hi-technology
like the Large Hadron Collider. The observational technique used was essentially to measure the debris from the controlled hi-energy
collisions of various subatomic particles. The original 'void' eventually inferred from this was the 'uncertainty' of 'net-zero quantum-foam'.The methodology used to obtain such evidence empirically was essentially to measure only observable effects after-the-fact.
However, since 1927 this 'uncertainty' had become more generally deployed to modify the precise predictability of events to
merely the probabilities of the in/correctness of these predictions, despite any of the obvious trends of path-dependency.
At the same time, measuring the cause(s) of the effects to which they give rise, are measurements that may be inferred logically.
As Galileo once famously said, "we must measure what is measurable & we must make measurable what is unmeasurable."Certainty & uncertainty: tantalizing questions here asking; what is being measured & at what scale; who is measuring; from
where are the measurements being made; what is the methodology used for making the measurements; what is the 'numeraire'
(the unit of measurement) used to measure what are the integrated orderly origins of the rates & the ratios of time-space?
"It it is not surprising when we are dealing with an 'order', we cannot decide whether what we meet with is an order of reality
or an order of our understanding of it." Written during the wartime years & initially distributed only to his family & trusted
friends, the essay describes Heisenberg’s philosophical view of how we understand the natural world and our role within it.Hippasus, Pythagoras & the unity of 'Stringularity' which integrates both rational & irrational numbers in its 'numeraire'
After 2500 years the story is still told that the Pythagoreans allegedly murdered Hippasus for discovering but also revealing irrational numbers,
(perhaps the square root of two for example) as these challenged the Pythagorean orthodoxy of there being only rational or whole numbers.
However, when the twelve semitones that are contained in a perfect octave are measured well-tempered,
the 6th step is revealed as the square root of two at 1.414. Phi is also structurally revealed, as shown in the chart.
Moreover, when the Pythagorean Comma is measured over seven octaves, the irrational number of Phi is generated very precisely at step 12.618 of the
harmonic series. This is signifiant as Phi is a number that is clearly ubiquitous in Nature, as for example in the numerous expressions of the Golden Spiral.
This argument, the conflicting logic but also the conflicting ideologies behind the conflicting logic has run & run to the present day.
The development & destiny of AI, about which much concern is now being expressed is the latest version of this ancient quarrel.
It remains a conflict between the outset of organic or analogue intelligence & the onset of computer generated artificial or digital intelligence.
Logical Beginnings
The first 14 harmonics of the 'harmonic series' compared as
[a] separate parallel steps (see below) and also
[b] superimposed (as with a violin string for example)
fully disclose the parts as functions of the whole or the 'holocratic' structure, sequence, symmetry & the certainty of the whole at the
'non-random-void', enclosed as the integral of hearing, seeing, being & feeling are/is the synthesis- the 'force-field' - of the harmonic series.
. . . (see movies below and here) . . . (this is consistent with the underlying geometry).
. . . and the Harmonic Series as a 'hologram' . . . . . .
Uncertainty, climate change & un-economic growth
Yet, 'uncertainty' came to be the net-positive bias of economic growth, the 'get-lucky' belief-system at the core of modernity & progress.
Its randomness has literally come to under-write the ideology of freedom & free-markets & technological innovation from which democracy &
the rule of law have become globally propagated to this day, particularly by the so-called liberal-democracies of the Western World.
At the same time, concern about how this was changing climate globally had already been stated at UNCED-1 in 1972 & at UNCED-2 in 1992 when
the UNFCCC was agreed with the objective of stopping the rise of greenhouse gases in the atmosphere on the inclusive basis of precaution & equity.
Now, in 2022 due to 30 years of growing UNFCCC-non-compliance, the need for compliance is more urgent than ever. The growing acceleration
of these rates of climate change has been tracking our collectively captive economic growth path-dependency on what are becoming globally ever
more uneven, uncertain, un-economic & the inorganic growth rates now aggravating further positive-feedbacks to the rates of climate change.The 'net-zero' of emissions-management
The decreasing prospects of achieving UNFCCC-compliance result from both the sheer inadequacy of feedback-free climate modelling & the 'uncertainty'
(not to say now the absurd inadequacy) of the merely aspirational, sub-global, voluntary 'net-zero' (chaotic) emissions-only policies arising.With these ever-more-entangled 'uncertainties' of responses to climate change, by doing too little too late we now progessively face ever
more chaotic & catastrophically damaging climate-outcomes, as we continue to consolidate the failure to achieve UNFCCC-Compliance.A mutually assisted suicide pact a function of uncertainty?
Considering the price we have already begun to pay for this indecision and the delays arising, the logic as seen
by the UN Secretary General Guterres is now increasingly regarded as the logic of a mutually assisted suicide pact.While the liberal democracies of the Westen World have been & still remain primarily responsible for this now increasingly perilous state of affairs
(CDIAC data), globally all countries are now collectively stressed & yet completely interdependent, if UNFCCC-Compliance is ever to be achieved.
Hence C&C The Well Tempered Climate Accord (WTCA) & The Carbon Budget Accounting Tool (CBAT)
"It seems to me that Contraction and Convergence is the basic principle that should guide climate policy,
and that this policy is really unchallenged in principle by any of the climate models under discussion.
Granted that it is good to have accurate models of how the world works, and to work out the numerical balances of C&C.
Nevertheless, I wonder at what point complex and uncertain empirical models become a distraction from simple first principles?
C&C is a necessary condition for a just and sustainable world.
With best wishes & admiration for your important work on C&C."
Herman Daly
Emeritus Professor University of Maryland.**************************************
For 30 years the climate change challenge we've faced but inadequately sought to address has obviously been this: -
can we solve the 'problem' faster, not slower (as we have done) than we create it?
What's obvious is also necessary & requires trend-projections & integrated path-measurement aimed at UNFCCC-Compliance.
CBAT is a visualization tool to dynamically disclose, measure & compare the climate, political & economic trend-risks obstructing this.WTCA is premised on the necessary certainty of full disclosure, not the partial & fragmentary non-disclosure arrangements on which
uneconomic growth increasingly depends. GCI's climate 'certainty-agenda' has been about this since 1989 when C&C was first conceived.
From 1990 until 2010 this certainty basis was the WTCA or 'Contraction and Convergence' (C&C) & support for C&C grew steadily.
Many years ago Richard Lindzen MIT said of C&C, "Its obvious; I just don't think humanity has the wit to organise it."
Faced with the risks of doing to little too late, the key to UNFCCC-Compliance inexorably still remains doing enough, soon enough.
Here's CBAT animated for this purpose. The message from future carbon-contraction-budget arithmetic is obvious & simple: -
CO2 concentrations are a function of accumulated emisssions; they keep rising even as emissions are falling.
'Well-Tempered' in Italian is 'Ben Temperato' or 'Well Timed'
Vincenzo Galileo (Galielo Galilei's father) was a Luthier. He recognized that fret-spacing on the finger board of a lute needs spacing of equal temperament.
Well Tempered tuning or the certainty of 'equal temperament' of 12 Tempered 5ths commuting with 7 Perfect Octaves is fundamental and self-referential.
If we count & act globally as commoners in time & in tune together, living & lasting according to Nature's Laws might be possible, but we don't.
We resort to concepts like the 'net-zero-void', which is no different to saying 'we don't really know'. Similarly the 'net-zero-emissions' taken up
by IPCC after the Paris Agreement of 2016, is another way of saying 'we don't really know'.
In fact 'net-zeroing' anything uncouples time & space, further dissociating cause & effect. It implies the UNFCCC-compliance-failure we now face
is unfortunately, unavoidably but ultimately (ludicrously) expiated by this, as any collective path-finding is always dominated by 'uncertainty'.
Turning everything into net calculations - here 'net-emissions' - functionally obscures the 'UNFCCC-compliance-signal' of the 'numeraire'.Whilst the $ remains the dominant numeraire, we count & act locally & privately within a short-term economic-rationale hoping that 'commercial exchanges'
will favour 'us' at the expense of 'them' (someone else, somewhere else, some other time) in what has increasingly become a generic process of uneconomic
& inequitable growth, subordinated to the relentless inorganic growth-exponent that is already triggering global environmental & social collapse instead.The first attempt to consolidate this 'uncertainty-economics' was in the IPCC in 1994 with what was called the economics of genocide and it caused absolute outrage.
Since then precaution & equity have simply become the fig-leaves of non-disclosure, as all 27 COPs to UNFCCC have been based on $-defined Cost-Benefit-Analysis.Is it any wonder that we are now in the existential peril UN Secretary General Antonio Guterres recognizes we are in?
Seeking to achieve net-zero-emissions off the back of more uneconomic growth, might at best slow the rise of atmospheric CO2 concentrations,
but this is obviously not enough to cause them to actually fall - let-alone also the fall of rising temperature & damages consequent on this.
The fall of all of these are prerequisite to achieving UNFCCC-compliance by avoiding uncontrollably accelerating rates of climate change.In these circumstances any randomly assigned international shares for the commercial trading of pollution for private-profits, will simply increase
(not decrease) uncertainties. Deepening 'non-disclosure', this approach actually extends what was once regarded as the 'divine rights of kings'.However, as the policy-incoherence deepens, the mask of 'climate-uncertainty' mimics the 'net-zero' of cosmic non-disclosure. As this mask now falls away,
disclosure reveals our logical beginnings whilst also showing that remaining climate-witless, really means willing our ends in the growing global climate-chaos.When UN Secretary General Guterres' says we are in a 'mutually assisted suicide pact', he recognized the existential peril that we are now in.
As things stand the path of doing too little too late is the path we are on. All that is uncertain is the rate of the changes that lie ahead.
As we contemplate this, these words also from Guido Tonelli in Genesis are part of the extensive preamble to his words as written here: -" . . . the result that we obtain is truly astonishing: it amounts to zero.
In short, the total energy of the universe as a system is the same as if it were a void.
All of this can hardly be due to pure coincidence. Especially since something similar happens
for the total charge of the universe, for its impulse, and for its angular momentum.
Everything is strictly equal to zero.To summarise, the universe has zero energy, zero impulse, zero angular momentum and zero
electrical charge: all characteristics that make it remarkably like a void. At this point the scientists must
capitulate, since if it looks like a duck, walks like a duck, and quacks like a duck, then for them it is a duck.The most sophisticated and complete observational data that we have gathered so far tells us in a
consistent way that the mystery of the origin of the universe is hidden in the simplest hypothesis,
which among other things resolves at a stroke the question that seemed to cause the Big Bang theory to waver.In a universe with a sum total of zero energy there is no need to resort to the strange mechanism that
concentrates enormous quantities of energy and matter into the initial singularity, because within that point
the energy is nil, and within the system that unfurls from it and that we call the universe there is also zero total energy.
The physicist and cosmologist Alan Guth, one of the prime movers of this theory, defines it as the most appealing example
of a ‘free meal’ furnished by the quantum vacuum. That the whole universe comes from a void, or to put it better,
that it is still now simply a void state that has undergone a metamorphosis, seems to be the most convincing hypothesis
offered by modern cosmology, or at any rate the most consistent with the countless number of observations
that have been collected to date."
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The Harmonic Series: even numbers & odd numbers, separately & together & the curve arising generating Phi
Harmonics - odd & even numbers (the rule is halve the wave-length-double the frequency; third the length-treble the frequency etc) . . .
"The void itself is not chaotic; it is Well-Tempered."
This space-time measurement based on 'equal temperament', began with luthier Vincenzo Galileo around 1550.
By stating that the original void is orderly & well-tempered, Tonelli's remarkable statement simply recognizes as fact the 'harmonic series' (HS) exists.
The ordered structural-certainty of this 'numeraire' is fundamental, constant, stable, symmetrical & giving rise to Phi, the catalyst shaping evolution itself.
larger pdf file
"We have reached one hundredth of a billionth of a second after the Big Bang, and from this moment onwards things become clearer. Ever since we discovered the Higgs boson
and were able to measure its mass, this part of the story has kept few secrets. The new-born universe is already pretty imposing. It has reached the not inconsiderable dimension
of a billion kilometres. Suddenly, when the temperature decreases below a certain threshold, the Higgs bosons which until a moment ago had been roaming freely, now begin to
congeal and crystallise. At these temperatures, which are freezing for them, they are unable to survive and are hidden away in the comfortable sepulchre of the void.
It will require a great deal of patience before they are seen again. It will take 13.8 billion years in fact, before on planet Earth someone will manage to engineer collisions of energy
of such magnitude as to bring them back to life, if only for a fraction of a second, an amount of time sufficient for them to leave indelible traces of their presence.
The field associated with them acquires a specific value that radically transforms the properties of the void. Many elementary particles are subject to a sizeable interaction while crossing it,
and as a result their speed diminishes, allowing them to acquire a mass; others that travel without being disrupted remain impervious and can continue to move at the speed of light.
With the Higgs field the perfect symmetry that had characterised the primeval universe fractures and the weak interaction completely separates from the electromagnetic force.
Some particles become so heavy they are rendered unstable, and immediately disappear from the rapidly cooling universe. Others will crucially acquire mass but retain a lightness
that will prove fundamental for soon moving to a quite special organisation of matter. The newcomer, the Higgs field, acting with a light touch, has constructed multiplicity
(variety and complexity) following a clear and simple rule. The elementary particles which remain as if entangled in the field, distinguish themselves from one another depending
on the intensity of the interaction, and by so doing they end up acquiring irreversibly different masses.
Their gentle operation resembles that of the demiurge in Plato’s Timaeus, the master craftsman who, through the mediation of numbers, converts the formless pre-existing matter
into something dynamic and vital. Everything will be born from this delicate touch that crucially changed things forever. But we mustn’t get ahead of ourselves: it is still early.
The second day has just ended and only 10–11 seconds have passed".
Guido Tonelli - Day Two, from 'Genesi'
The Harmonic Series clearly births Phi at Step 12.618.
The Higgs Boson is defined at 125 GeV - see identical results from CERN teams CMS & ATLAS,
(led to Guido Tonelli & Fabiola Gianotti) as published in 2010 to the greatest both at CERN and beyond.If we can ask what is the relationship between the HB & Phi,
we can also wonder what is the relationship with the well-tempered void?
7 Perfect Octaves = 12 Perfect Fiths = Phi = Harmonic Series
In music Well Tempered Tuning results from the comparison of . . . . . .
7 Perfect Octaves & 12 Perfect 5ths (PF), which is 2^7 = *128* : 1.5^12 = 129.7463379.
where they don't commute i.e. revealing the Pythagorean Comma (PC) = 1.7463379 . . . . with7 Perfect Octaves & 12 Well-Tempered 5ths (WTF), which is 2^7 = *128* : 1.4983070768^12 = *128,
where they do commute i.e. removing the Pythagorean Comma i.e. to reveal = 0
Key to the sheer beauty of this structure is the revelation of Phi in the first Perfect Octave in the difference
between a Perfect Fifth (150 Hz) & a Well Tempered Fifth (149.8 Hz) applying 'equal temperament', which
lies at the Phi point (.618) between a Perfect Fifth (.666) & a Diminished Fifth (.583).
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