November 15, 2021

The principle of polarity

Hermetic principles and geometry 5/8


« Everything is double ; everything has poles ; everything has two extremes
similar and dissimilar which have the same meaning. »


The prin­ciple of pola­ri­ty finds its place half­way bet­ween the first and the seventh and last prin­ciple bequea­thed by Hermes. Interdependence obliges, to explain the prin­ciple of pola­ri­ty, I will call upon the pre­vious prin­ciples, so there is still time to fami­lia­rize your­self with them if you have not alrea­dy done so ! These are the prin­ciple of men­ta­lism, the prin­ciple of cor­res­pon­dence and the prin­ciple of vibra­tion. Are you fami­liar with them ? So here is a first approach to the prin­ciple of polarity.


Let us observe the cadu­ceus of Hermes. The two snakes move away at equal dis­tance, seve­ral times, on either side of the cen­tral strip of lau­rel. Like posi­tive and nega­tive num­bers, simi­lar in abso­lute value and dis­si­mi­lar by their sign, which would be dis­tri­bu­ted around the cen­tral 0, thus repre­sen­ting the polarity.

Now ima­gine a coin : we can­not conceive of the heads side without the pre­sence of the tails side. The coin repre­sents one thing and its oppo­site, and yet it is one and the same thing ! Another example is the magnet which has two poles. Two magnets, attrac­ting each other by their oppo­site poles, lite­ral­ly show that « extremes touch ».

Before loo­king at the phy­si­cal dyna­mics that allow us to des­cribe and recon­cile the para­doxes of the prin­ciple of pola­ri­ty — thanks in par­ti­cu­lar to the theo­ry of Nassim Haramein — we will see that the prin­ciple of pola­ri­ty applies above all to thoughts since the uni­verse is mental.


The movement of thought is based on the principle of polarity

« (…) Choice is the essence of the move­ment of thought. »

The prin­ciple of pola­ri­ty refers to the ques­tion of choice [3]. Indeed, pola­ri­ty means choo­sing bet­ween dif­ferent vibra­tions, which may be — or at least appear to be — oppo­site. The move­ment from one vibra­tion to ano­ther is ensu­red by thought, a thought always attrac­ting a thought that is vibra­to­ry simi­lar to it, until it tem­po­ra­ri­ly stops on a choice.

Then that thought is sus­pen­ded. Temporarily, I said, because thought does not like to stop ! But at this stage, it has rea­ched such a vibra­tion that it is beyond dua­li­ty. This pas­sage is usual­ly so flee­ting that we do not per­ceive it. Nevertheless, it is one of stil­l­ness [4], in which there can be no choice. Why is this so ? Because there is no move­ment that can dif­fe­ren­tiate things in stil­l­ness, and allow for a choice.

Moral : if in the world of thoughts — in the rela­tive world of pola­ri­ty - we are spoilt for choice, in the abso­lute world of the Spirit, it is not so..


The relative and the absolute

« All truths are but half-truths ; all para­doxes can be reconciled. »

The uni­verse is men­tal does not mean that it is unreal. Nor does it mean that it is real. To consi­der the uni­verse as unreal or real is to adopt the point of view of a half-truth. The prin­ciple of pola­ri­ty teaches us that eve­ry­thing has to be consi­de­red from the abso­lute and rela­tive points of view. The abso­lute and the rela­tive are indeed the two poles of truth for the Hermetists, the abso­lute being « things as the Spirit of God knows them », and the rela­tive « things as the highest rea­son of man unders­tands them ». The expres­sion of this wis­dom being of course itself rela­tive to the evo­lu­tion of each per­son.

From the abso­lute point of view of the Whole, only the Whole is real, the uni­verse is an illu­sion. Every illu­sion unfolds in the tem­po­ral sphere : doesn’t the uni­verse have a begin­ning and an end ? And behind tem­po­ra­li­ty lies vibra­tion, as we saw in the article on the prin­ciple of vibra­tion. Thus, the begin­ning and the end are rela­tive. Indeed, on the scale of vibra­tion, where does the begin­ning start, where does the end stop ? Every end is a new beginning.

From our point of view — human, mor­tal and rela­tive — the uni­verse is real, true, and must be consi­de­red as such. It is sub­ject to laws inherent in its exis­tence. Laws which, though men­tal in nature, are none­the­less impla­cable, com­pel­ling us to act as if constant­ly chan­ging things were real and sub­stan­tial. This is the divine para­dox.

This para­dox is expres­sed through the two « oppo­site » poles (abso­lute and rela­tive) of the same thing, res­pec­ti­ve­ly : the Law and the laws, the Principle and the prin­ciples, the Infinite Spirit and the finite minds.


The principle of polarity or the reconciliation of paradoxes



The uni­verse being sub­ject to the law of para­dox… there are many para­doxes in the uni­verse ! Nassim Haramein’s theo­ry of the connec­ted uni­verse is remar­kable in that it recon­ciles many of them. I was ins­pi­red by these « para­doxes that can be recon­ci­led » for the navi­ga­tion of this blog. Here is a brief overview.

Let’s start with frac­tal geo­me­try — lin­ked to the cor­res­pon­dence prin­ciple — which reconciles :


Finite and infinite

A frac­tal is built by homo­the­ty : its struc­ture is repro­du­ced iden­ti­cal­ly at all scales ad infi­ni­tum. In other words, a frac­tal tends towards infi­ni­ty, and yet each of its levels gene­rates a limit, hence the notion of com­ple­men­ta­ri­ty bet­ween the finite and the infi­nite.


Determinism and indeterminism

Nassim Haramein explains that :

« A frac­tal equa­tion is a repe­ti­tion of an equa­tion that is deter­mi­nis­tic, but when you repeat it it converts to an open back­feed to infi­ni­ty so that you have com­ple­te­ly non­li­near, non­de­ter­mi­nis­tic beha­vior. So from a very deter­mi­nis­tic equa­tion you get a com­plex non­li­near result, and you jus­ti­fy both sides of the uni­verse, the deter­mi­nis­tic part and the non-deterministic part. » [5]

A frac­tal uni­verse ulti­ma­te­ly implies that deter­mi­nism and inde­ter­mi­nism coexist, so that eve­ry­thing is always deter­mi­ning itself. The feed­back loop is like a dance bet­ween deter­mi­nism and inde­ter­mi­nism.


Order and chaos

Not only do inde­ter­mi­nism and deter­mi­nism coexist, but they are neces­sa­ry for the pro­gress of the uni­verse. Indeed, they lead to the for­ma­tion in the uni­verse of struc­tures that are constant­ly on the bor­der bet­ween order and chaos : this is how they both do not dis­solve and evolve. These struc­tures, cal­led dis­si­pa­tive struc­tures, are open sys­tems. In connec­tion with their envi­ron­ment, they use the per­ma­nent inter­nal and exter­nal fluc­tua­tions to which they are sub­jec­ted to spon­ta­neous­ly orga­nize their struc­ture and deve­lop. They have been high­ligh­ted by the che­mist and phy­si­cist Ilya Prigogine.

Nassim Haramein also made the most com­plex and res­tric­tive choice, that of consi­de­ring sys­tems as inter­de­pendent (and not iso­la­ted). In the end, he came up with one and only one theo­ry of phy­sics, sim­pler, more effi­cient and more objective.


And many other paradoxes…

Like frac­tal geo­me­try, the vibra­tio­nal conti­nuum - lin­ked to the prin­ciple of vibra­tion — allows us to recon­cile paradoxes :

Matter and quan­tum vacuum, move­ment and stil­l­ness, wave and par­ticle : they are both of the same nature — vibra­to­ry — but not of the same degree [6].

Now let’s look at what connects, from the point of view of phy­sics, the oppo­sites. Specifically, what does the theo­ry of the connec­ted uni­verse teach us ?


The principle of polarity from the point of view of physics

In the uni­verse, eve­ry­thing is rota­ting. Space-time rotates at the finest level — at the level of the Planck field — and in doing so creates pola­ri­ty, which pro­pa­gates to the infi­ni­te­ly large [7].

But there is no pola­ri­ty without geo­me­try. We saw in the article on the cor­res­pon­dence prin­ciple that the geo­me­try of the vacuum — the basis of all others — com­bines two geo­me­tries : that of the cuboc­ta­he­dron and that of the tetra­he­dral star.

cuboctaedre-vecteur-equilibre  etoile-tetraedrique

The tetra­he­dral star is com­po­sed of two inver­ted tetra­he­drons. On the repre­sen­ta­tion below, in two dimen­sions, we observe 12 Fibonacci spi­rals. They all start from the same cen­tral point — there is no rota­tion without a refe­rence point — and meet at the 12 nodal points of the star, 6 of which deli­mit a cen­tral hexa­gon (or cuboc­ta­he­dron in 3D).



Fibonacci spiral and golden ratio

Let’s look at the Fibonacci spi­ral. Based on the gol­den ratio, it is a self-similar fractal.

« [The gol­den ratio ] φ is the ratio of the length to the width of a rec­tangle R such that, if the lar­gest square it contains is remo­ved from R, the remai­ning rec­tangle R′, of length and width b‑a, is simi­lar to the ori­gi­nal rec­tangle (the ratio of length to width is the same as for R). » [8]




We can also say it in ano­ther way : (a + b) / a = a / b = 1.618 = φ

To draw the Fibonacci spi­ral, sim­ply repeat the Rectangle / Square construc­tion — which can be done ad infi­ni­tum. The spi­ral will then appear in the suc­ces­sive squares.

The gol­den ratio is the ratio that the uni­verse uses to mul­ti­ply and divide itself at all scales. Nassim Haramein talks about high­ly orga­ni­zed sys­tems that gene­rate « pecu­liar » — actual­ly frac­tal — struc­tures throu­ghout nature.


The geometric dynamics of the universe

But let’s go back to the 12 Fibonacci spi­rals that form the tetra­he­dral star. We notice that half of these spi­rals are orien­ted in one direc­tion, and the other half in the other direc­tion. This double orien­ta­tion creates a field com­po­sed of two inver­ted pola­ri­ties, and reveals the geo­me­tric dyna­mics of the universe.

double-tore-facedouble-tore-topTo bet­ter unders­tand, we can represent things in 3 dimen­sions, i.e. using the geo­me­try of the double torus. The basic struc­ture of the uni­verse, the double torus allows infor­ma­tion to flow. Not in a straight line towards the cen­ter, but by win­ding in the oppo­site direc­tion from the poles towards the cen­ter. This double move­ment can also be seen as a double rota­tion, where the two toruses turn in oppo­site direc­tions. From this double motion, the gra­vi­ta­tio­nal and elec­tro­ma­gne­tic forces [9] of the uni­verse are born.

The Chinese have repre­sen­ted this dyna­mic by the sym­bol of Yin and Yang, cal­led Taijitu, which is none other than the double torus seen from above. Note that Yin and Yang can each divide into Yin and Yang sub-elements, ad infi­ni­tum, thus illus­tra­ting a frac­tal pro­cess.


Yin and yang, symbol of the principle of polarity

The Yin and Yang prin­ciples represent the inces­sant trans­for­ma­tions of all aspects of life and the uni­verse. Our wes­tern vision pre­sents them as oppo­sites, although they are in fact com­ple­men­ta­ry. They evolve in a move­ment that inva­ria­bly pro­duces a tran­si­tion from one to the other, thus offe­ring a conti­nuous expe­rience of each principle.

This pas­sage is only the result of a mutual limi­ta­tion since Yin mani­fests itself as soon as Yang reaches its maxi­mum, and vice ver­sa. One can only express itself in rela­tion to the other. This is the rea­son why each prin­ciple is always present — and repre­sen­ted as such — in its « oppo­site », we will come back to this.

principe-de-polarite-yin-yangIn Nassim Haramein’s theo­ry, there is a direct ana­lo­gy bet­ween the sym­bol of Yin and Yang and the dyna­mics of the uni­verse. There are 64 pos­sible com­bi­na­tions of Yin and Yang which, for the phy­si­cist, cor­res­pond to the 64 tetra­he­drons for­ming the struc­ture of the vacuum, from which eve­ry­thing emerges and to which eve­ry­thing returns [10].

Each com­bi­na­tion is a six-lined sym­bol cal­led a hexa­gram. In 3 dimen­sions, the only geo­me­try that can be gene­ra­ted with six lines is a tetra­he­dron [11]. Because of the pola­ri­ty of the uni­verse, a tetra­he­dron can­not exist without its oppo­site. But unlike the solid lines of the first tetra­he­dron, the lines of the second tetra­he­dron will have to be seg­men­ted so that the lines of the two tetra­he­drons can inter­sect. This is the rea­son why, accor­ding to Nassim Haramein, the oldest Chinese text, the I Ching [12], is made up of solid lines and seg­men­ted lines. 


A difference in degree

« Opposite poles have iden­ti­cal nature but dif­ferent degrees. »


Taijitu allows us to visua­lize simi­lar (of the same vibra­to­ry nature) and dis­si­mi­lar (of dif­ferent degrees) poles, gene­ra­ted by the prin­ciple of vibra­tion. Thus, for example, hot and cold are appa­rent­ly oppo­site but in rea­li­ty one and the same thing ; they are dis­tin­gui­shed sim­ply by a dif­fe­rence in degrees.

For example, there is no such thing as abso­lute heat or abso­lute cold.  The phe­no­me­na of « hot » and « cold » exist only in rela­tion to each other. Hermeticists teach that « one degree is always hot­ter or col­der than ano­ther, so it can be cal­led hot or cold without depar­ting from the truth. »

Note that the domi­nant acti­vi­ty is given to the posi­tive (hot) pole, which is veri­fied by the law of entro­py : the heat trans­fer always goes from the hot­ter sys­tem to the col­der one.


Principle of polarity, maturation and mutation

The fol­lo­wing illus­tra­tion offers a vision of the four sea­sons [13] in accor­dance with Yin and Yang : although sum­mer and win­ter are on oppo­site sides of the world, there is only a dif­fe­rence of degrees bet­ween the two (in the sense of tem­pe­ra­ture and vibra­tion). Taijitu also repre­sents the fact that when it is sum­mer in one hemis­phere, it is win­ter in the other. Each prin­ciple can the­re­fore never be expres­sed in abso­lute terms, it is always rela­tive to its « oppo­site ».



The Yin/Yang dyna­mics is based on the ten­den­cy of each pole to ulti­ma­te­ly trans­form into its « oppo­site ». The pas­sage from one to the other is first of all done by a slow matu­ra­tion, ineluc­ta­bly fol­lo­wed by a muta­tion. In the case of the sea­sons, we know when the muta­tion will take place : at the solstices.

However, in a more gene­ral way, one may not be aware of the matu­ra­tion phase, or more pre­ci­se­ly of its state of pro­gress. So when the muta­tion appears, it may seem to come sud­den­ly, if not out of now­here. If we are sure that an ener­gy will inevi­ta­bly trans­form into its com­ple­ment, the dif­fi­cul­ty is to know when this muta­tion will take place [14]


The principle of polarity and the law of attraction

« To des­troy a bad per­iod of vibra­tion, put into acti­vi­ty the Principle of Polarity and concen­trate your thought on the oppo­site pole of the one you want to anni­hi­late. Kill the unde­si­rable by chan­ging its Polarity. »

The prin­ciple of pola­ri­ty, like the other six, is above all men­tal, as we have seen. Perhaps the most impor­tant thing it teaches us is the prac­ti­cal and concrete appli­ca­tion we can make of it through the Art of Polarization. To do this, we first need to rea­lize that our dai­ly trans­for­ma­tion is alrea­dy present and is only a ques­tion of moving the cur­sor : it is acces­sible by pola­ri­zing our conscious­ness and our vibra­tions dif­fe­rent­ly.

And we will see with the next prin­ciple, the prin­ciple of rhythm, that eve­ry­thing is obvious­ly not so simple !




Key points


  • Everything must be consi­de­red from the abso­lute point of view (the know­ledge of the Spirit) and from the rela­tive point of view (the human understanding).

  • Fractal geo­me­try (prin­ciple of cor­res­pon­dence) and the conscious­ness of the vibra­to­ry conti­nuum (prin­ciple of vibra­tion) make it pos­sible to recon­cile many paradoxes.

  • Taijitu (Yin/Yang) sym­bo­lizes the prin­ciple of pola­ri­ty in its rela­tive and abso­lute dimen­sions. From the point of view of phy­sics, tai­ji­tu cor­res­ponds to the dyna­mics of the double torus.

  •  « Transmutation is the sword of the master. »





Notes and references

[1] Unless other­wise indi­ca­ted, all quo­ta­tions are from the Kybalion.
[2] BOHM David and KRISHNAMURTI Jiddu, Les limites de la pen­sée [The Limits of Thought], Paris : Le livre de poche, 2006, p.115
[3] I dis­tin­guish choice from free-will, see the article Does free-will exist ?
[4] See the sec­tion devo­ted in the article on the prin­ciple of vibra­tion.
[5]  HARAMEIN Nassim, Nassim Haramein at Rogue Valley Metaphysical Library (1)
[6] See the article on the prin­ciple of vibra­tion for more expla­na­tion
[7] See the article on space-time for more infor­ma­tion
[8] BUZZI Jérôme (2013, May 29), Nombre d’or, frac­tales et symé­tries [Golden num­ber, frac­tals and sym­me­tries], in CNRS
[9] This is in fact the move­ment of black holes, present at all scales in the uni­verse. See the sec­tion devo­ted to this in the article The frac­tal and holo­gra­phic uni­verse.
[10] See the expla­na­tion in pic­tures
[11] A tetra­he­dron is a pyra­mid with a tri­an­gu­lar base.
[12] The I Ching is a book of phi­lo­so­phy and cos­mo­lo­gy that can also be used for divi­na­tion. It is based on 8 tri­grams and 64 hexa­grams, consis­ting of 3 and 6 bro­ken or conti­nuous lines res­pec­ti­ve­ly.
[13] Note that for the Chinese there are actual­ly 5 sea­sons, the 5th sea­son repre­sen­ting a mini sea­son inter­ca­la­ted before each of the 4 others.
[14] See the sec­tion devo­ted to the but­ter­fly effect in the last article.


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