Dra.Torres, W, M.S., Ph.D.
GIGS-
International GID Education
and School
Gendercare Gender Clinic
Copyright
. 2001 Gendercare.com.All Rights Reserved
Abstract: In Antiquity until some two
centuries ago, gender identity – the way we feel as a boy or as a girl – was
considered as derived from the genital conformation only. Later, at the end of
XIXth century, Freud, based on some ideas of Fliess, suggested the human baby
was gender undiferentiated at birth, and would learn to be a boy or a girl
later, seeing the genitals. Some time later, in the
middle of the XXth century, John Money accepted as a point of principle, those
Fliess and Freud ideas, and suggested the small human child would “learn to be
a boy or a girl, as would learn to speak, during the first two years after
birth”; he studied those ideas, through observations about hermaphrodites
mainly, and some intersex, and he suggested some “plasticity” or some “gender
identity indetermination” and those facts suggested him what later he proposed
as a general rule, through his “sex of rearing” therapy, that could be applied
for all children, because it could work well with hermaphrodites and some
intersex. He suggested the trangenitalization and female sex of rearing for David
Reimer, when this poor boy, during a circuncision, had cauterized his penis.
David had an identical twin brother. John Money wrote papers and books saying
about the success of David therapy. Later, Colapinto, Diamond and David Reimer
showed, all was a mistake, all was an error, and he never “learned to be a
girl” as Money wrote. Later, as a FtM transexual,
David ended with suicide. We show here, gender identity is a fact derived from
a process, and not a fact only. The fact is the convergence of the process,
atracted by an attractor on the topological sense. To understand gender
identity and gender identity disorders & variances, we need first to
understand the dynamic complex formation of gender identity, mainly due to 5
biological steps, that in humans later may be disturbed by life.
Let`s see something about the history of gender
identity formation knowledge: From Antiquity to Middle
Ages and even later, the genitals were considered as Gods that could define gender
identity.
Fliess and later Freud, at the end of the XIXth
century imagined that all children were what they called “bissexual” meaning
really gender not differentiated at birth. Later, in the middle of XXth
century, John Money imagined that the child would learn to be a boy or a girl
in the first 2 years afterbirth, as they learn to speak.
All those old absurdities & theories suggest
gender identity has nothing to do with our brains, and are punctual facts, and
not complex brain processes that need time. Our identity is formed in our
brains, as Damasio (1994) shows us, and our brains are a very complex system
formed after some millions of years of evolution (Eccles (1989)). Also, inside
each human being, body tissues, includding brain tissues that will generate
gender identity possible existence, need time to start (conception and
insertion) , develop (gestation) and show the final
result as a point of convergence of a characteristic factor we name gender
identity: the way we feel as being a boy, a girl or someone with some problems.
What we call here core gender identity trajectory is
the evolution of gender differentiation inside our body, starting with the
chromossomes, then gonads, genitals; the basal brain differentiation and later
the cerebral cortex differentiation. All those are 5 biological steps, and
surely the first 4 happen during gestation, in all primates, includding humans.
Later, family, society and culture will complete the work, helping the
stabilization of the system, or disturbing it.
The fifth differentiation step we mentioned above
happen before and after birth, and will happen during all our lives, and govern
our brain lateralities and kind of intelligence, not really gender identity,
but surely may disturb if the differentiation put the 4th step and
the 5th in another polarization.
Life will complete the work. The environment, the
social pressures, the cultural disturbs. Traumas are important, mainly during
early childhood, also abuse and violence ( they may
start PTSD-post traumatic stress
disorders & DID- Dissociative identity disorders that may influence life
and core gender identity hardly, and even cause self mutilation and self
destruction).
Stress and the emotional state of the mother during
pregnancy is essential for the 4th stage (differentiation of the
basal brain), if not so important for 3rd stage (genital
differentiation due to the hardest hormones action) and 5th stage
(that starts inside the womb but that increases outside after birth).
That way we may define, not gender identity as a
stactic point or one way fact, but as a complex dynamical process in time.
Dynamical processes need an
specific and an special topological approach to be correctly understood.
Trough topology we may understand complex trajectories
through phase space diagrams and attractor conformatiomns and when the
trajectory is oscilatory Also using poincaré sections and other topological
methodology and tools that help to understand complex dynamical system
developments. As all complex systems, core gender identity formation need a
complex approach.
To start the core gender identity formation
dynamics study, we need to know what we may know about its trajectory in
time. To define the trajectory, we need to define the gender values scale and
the time scale.
We define gender values scale the space between two
polar values, we call 100% masculinity and 100%
femininity.
To define time, we use always weeks after conception
(really insertion), due to the fact that during gestation (formation, organization)
period, alot of human life has definitions and differentiations, mainly gender
ones.
Gendercare gender identity tests/MFX and FMX/ try to research the
gender identity at 7, 10, 14, 18y.o. and later ages, and based on those results
we could evaluate the core gender identity trajectories & phase
space diagrams & attractors for researched and typical gender identity
formation.
To know more and better about those subjects, we
suggest to try at GIGS- GIDSchool Dr.Torres web
courses.
Imagine a perfect pendulum.
Surely that pendulun has no place in our Universe but
only inside our Imagination.
The pendulum trajectory would be the oscilation
between two extreme points of a semi circunference, as between to extreme
poles, that viwed from the top would seem a go and come back from a straight
line, between the points X and X’.
Point P and P’ would be the middle points, where the
velocity is the highest, and at points X and X’ the velocity would be zero.
P X P’ X’

![]()
X P’ X’
The
trajectory from the front or the top of the pendulum
are clear, but what is the phase diagram?
We will plot an axe with the trajectory position
(projection of the trajectory, as the straight line) and at the perpendicular
axe the velocity of the pendulum. The figure that we plot that way we may ask the
phase diagram of the system.
As we may see, the trajectory is a funtion of position
and time. The phase diagram is a function of position and velocity, without
time influence. Not in our real world 3 dimensions space but inside what we may
call “phase space”.
For the imagined pendulum the phase diagram would be:
velocity
P’

![]()
position X P X’
![]()
Much better examples you will find on Stewart,I (1989).
It is important to understand that for a cyclic
process, with cyclic trajectory, the phase space is a closed
, not necessarily regular, figure.
Oscilations are cyclic trajectories, and show closed
figures, some regular, some distorted, some very strange figures, and depending
on the system stability, and the attractor convergence, we may have big cycles
or small ones.
When a formation system converges to one point,
flowing to it from
the starting point, even if during the trajectory it followed other ways, we
say the system converges for a simple attractor, we call a sink. The
phase diagram of a sink is a point to whom all system is attracted.
If at the start, all flow from the starting point, the
starting point is called a source.
The phase diagram of the souce is a point, from where
all diverges and from where all flows.
When the phase diagram has the form of a horse saddle,
or as the top of a saddle, from where all may flow to one side or the other,
the attractor we name a saddle.
Poincaré, the greatest mathematician I ever knew,
verified that for most trajectories for most real systems, their phase diagrams
show four main typical attractors or situations, from where the system
flows, or to where the system flows. He named attractors because they were the
end of the flow, or the way the system converges or diverges. Those typical topological
flow forms are:
Oscilations or Periods;
Saddles;
Sinks;
Sources.
Poincaré was a genious of a mathematician. He was the
most expert on calculus and mathematical analysis. He was an expert on
differential equations solutions. And he soon discovered, even being so good,
he was abble to solve only the simplest systems.
He was a genius.
He developped the concept of topology, understand almost
in that Universe is related to, and functions as an enormous continuous system
with interconnections.
He could study, if not solve all complex systems,
through their typical phase space and some typical Poincaré sections, derived
from process trajectories and flows.
Topology would be the way to understand systems, not
to arithmetically solve them.
Not only analysis, but also
mathematical analogy.
Topology is good math, but not a way to calculate
flows and trajectories.
We may
calculate only simple particular cases of simple differential equations, but
topology is a math way to understand more complex flows.... if they
diverge or converge... what is the way of that convergence.... what is the
stability of the system... from where it comes... to where it goes...
For example, a black hole is a sink.
A quasar is a source.
Genes are sources, always. They start a new life, as a
source for the life flow.
Death is a big sink, for whom
all life converges.
Genes and quasars are examples of sources and examples
of starts.
Black holes and death are examples of attractors, to where all system
converges.
Typical attractors are: Sink, Saddles, Periods
(oscillatory) and Strange.
Topology, or the math of forms, of the continuum of trajectories
and systems, was the way the genius of Henry Poincaré discovered to understand
and solve very complex systems.
Gender identity formation, after alot of genetics,
psychanalysis, endocrinology, neuro-endocrinology, molecular biology, etc,
etc... I think we agree, is something complex.... and
need those complex systems approach to be well understood.
Kawamura (2000) and others are trying to develop
methods to understand basal brain gender differentiation through fMRI for alive
humans. That is a very important research, but that answer, as the Amsterdam
Brain Research Institute (Kruijver et al (2000), Zhou et al (2000), Swaab et al
(1995)), will give as sure data for only one moment in that process, we name
the step4.
Step 4 define not , alone,
core gender identity, but surely is the most important step for that
definition, among others.
What we need to understand is:
1.
Gender identity is
a life process, for all organisms, mainly the most developed ones, as primates,
and among them, human primates;
2.
Core gender
identity is a biological process, for all mammals and also for primates.
3.
Human core gender
identity determined by our biology, may be disturbed, reinforced, destroyed by
human social and cultural life.
4.
What we may and
need to know are the structures: biological, social, cultural estructures and
mechanisms that are important for core gender identity formation,
and also social gender identity or gender roles formation.
That is almost one unanimity.
In
Gender is not only bipolar.
Bipolar are the limits where gender identity develops,
and where male and female attractors exist.
Let`s imagine what may happen inside those male and
female limits. Alot of trajectories may develop inside those two poles as two
limits.
As the pendulum, that had its trajectory between two
limits.
For the pendulum, X and X’ were the possible
trajectory and phase diagram limits. For gender, M as the perfect male sink
attractor or perfect male source and F female, we may imagine that those
polar limits define a gender space.
Trajectories and phase diagrams will be limited by
those two poles.
Gender Identity (I) will not be limited by those two
possible perfect attractors, but will exist as the convergence point of the
trajectory for each human being, between those two poles. It may stabilize as a
sink attractor in between those two poles, may converge to a period, small one,
big one (big oscilations), well determined or strange.
The shape and polar characteristics of the attractor
say alot of the convergence and the energies involved on its formation.
Attractor shape and phase space diagrams say alot about core gender identity stability.
We
would like to consider, at least, the 5 main
biological gender differentiated steps to define gender biological trajectories (remember those 4
first steps happen only during the gestation, or the first weeks of life after
conception; the 5th starts also during gestation but continues after
it):
1st. Step --- Chromossomes;
2nd. Step --- Gonads;
3rd. Step --- Genitals;
4th. Step --- SBN – social behavior network inside the
basal brain (hypothalamus, amygdalas, lymbic system, corpus callosum);
5th. Step --- CC- cerebral cortex cognitive
characteristics, and latteralities;
Where
M --- Source and/or Sink as male attractor;
F --- Source and/or Sink as female attractor;
I --- Sink, Period
(oscilation) or Strange as gender identity attractor; sink when stable without
oscilation, period when unstable with some oscilations; Strange when totally
unprevisible and chaotic. The position of the attractor inside the gender
space, if near a pole or not, is very important for stability considerations.
(as a dice, that have 6 stable faces, and only those 6 stable positions
as stable attractors, the core gender identity has only 2 perfectly stable
situations: male M or female F. As far from a pole is the attractor, less
stable it is)
Some simple examples:
For
a normal man, or better saying a PERFECT MAN (imagined, exists not in that
Universe), the 5 steps trajectory would be a perfect polar trajectory, as the
next figure shows.

The figure shows, the gender trajectory for a normal man,
from step 1 to step5.
All the biologic system
converges to the same male
attractor M.
When biology starts as simple male source and later always
converges for a sink male attractor in a normal and stable way, probably all
other life actions will effort to increase the strenght of the attractor (that
plot means the “perfect man”, absolutely complete in masculinity; the real
normal men have some oscilations, some are more sensible, some are more hard,
some oscilations are always possible in real systems).
For that trajectory the phase diagram will be very
simple, the simplest possible: a simple point.
.M
To that blue M point all the system converges, in the most
stable way.
Vice versa for the F female attractor for the female
trajectory for women.
After those 5 biologic steps, all social, familiar,
cultural factors will try to reinforce the attractor M for men and F for women.
Now our example
refer to an intersex simple situation we call hypospadia. Gender identity I
will be near M, as a period of very small range, and very near the M perfect
sink attractor.

Step 1 and 2 may be
perfectly male, but for any cause, step3, 4 and 5 may be a little bit far away
from the perfectly male. Steps 2 and 3 we may surely know through the gonads
and genitals, step 4 we may evaluate
through test MFX and step 5 we may consider related to step 3 (theoretically).
The phase diagram would be:
![]()
M I F
We may see that the original source of the gender flow
is M. Some time later, due to some factor, surely biological, the system flows
to a near M identity, but not necessarily perfectly M. Also that attractor may
be a sink or even a period, with small oscilation, we may say almost no
oscilation. Probably it will be so near M that we will perceive not any lack of
stability on the male attractor.
We
have sufficient evidence that there are those 5 biologic steps for gender
identity formation. I will not mention again all the work from Dorner in
Berlin, Gorski in California, Pffaf in New York, Swaab in Amsterdam, and also
Bonsall, Michael, Resko, Roselli, Clark, Newman, Ogawa, Kawamura, Zhou,
Kruijver, Phoenix, Docke ... and much others, about the existence and some
important characteristics about those steps (at the bibliography we show some
dozens of references, all very important).
Those
5 steps show we are not “blank pages” that life will write over. Gestation is
the most important moment of our systems formation (what we know today about
stem cells show us gestation is the formation and organization most important
step of our lives; later our first childhood is the second most important
moment), and it exists because we are not blank pages at birth.
As
our perfect pendulum, that exists only in our imagination and not inside the
real Universe, the blank page at birth, as the “bissexuality” or gender no
determination of human children at birth that Fliess imagined and Freud
agreed, also
is only imagination and has nothing to do with the real World.
Life
has some billion years on Earth. Primates, as other organisms, are the present
day most complex systems that started some billion years ago. Life has its
trajectory on Earth, and primates are an inportant manifestation in a moment of
that history or trajectory.
Humans
are primates derived from other older primates. We started our derivation from Pan
trogloditas some 4 to 5 million years ago in
Africa (Horai et al (1995), and Homo sapiens sapiens exactly as we are
today started in
So,
we carry in our genes all that history or trajectory (our stem cells confirm
they know that story, day after day, inside our labs).
On
the contrary, we never could be a blank page, even at
our most early start... we start with
our genes, a complete potential system, and a dozen of stem cells that know all
the old trajectory, and our genes, where we have all our history or trajectory,
what obviously will control our formation. Genes are the project and stem cells
are the material how that project will develop and be erected. All our tissues
inside our body or hardware were in that project.
But
the body is more than a project, it is a reality, that develops inside the
mother`s body in primates, inside a mother as inside an environment, receiving
influences and suffering the consequences of the mother`s life.
In
the sixties and seventies, Dorner discovered how the emotional state of the
mother could disturb the phetus body formation, that affects includding some
brain gender differentiation systems, mainly the basal ones,
that need to be differentiated early inside the womb for the baby
protection.
So,
humans are not blank pages at birth.
Culture
started, glyphs started as hieroglyphs some 10 thousand years ago in Africa
(and cavern pictures started in
That
so long history determines our genes, and our genes
determines the project for our tissues, our bodies and our body formation
inside the environment of the womb. That primate and human project (natural
project as a consequence of Nature, or not, that is not so important), need to
be established, and during it at least 5 different moments of gender
differentiation we know today (but I hope there are others):
For
non human primates those 5 steps DEFINE GENDER IDENTITY.
Important
note: Stoller & John Money, and followers, considered that “only humans
have gender identity”, as if it was a cultural, and
not biologic property.
Antonio
Damasio (1998) showed all organisms, mainly most complex ones and all primates
have a core identity determined by biology. Only humans possibly
have cultural identities, but gender identity is related to core identity
and never cultural identity. To be male or female is a question of CORE
IDENTITY and not only sex or genital configuration as Fliess and Freud
thought nor a question of cultural identity as gender roles, as Money and followers
tried to put as a point of principle.
The
first 4 of those biologic steps happen inside the womb for all primates,
human and non human.
The
5th step start during gestation but
continues after birth for almost all life, for human and non human primates.
Other
mammal species, as rats, have only the first 3 steps during gestation, and the
4th starts during gestation and ends perinatally. They have almost no 5th
step.
For
no human primates, the 5 steps define core gender identity.
For
other mammals, the 4 first steps define core gender identity.
Does human primates be completelly defined by
those 5 biological steps to define core gender identity and cultural gender
identity?
Surely
not, we are much more complex than that.
Human
primates, even if those 5 biological steps define in a harmonic way core
gender identity, all flowing to a sink as a simple attractor, life factors may
disturb that system.
Those
disturbs will not change core gender identity, but will disturb it. A simple
sink attractor may be disturbed and show period characteristics and unexpected
lack of system stability may happen.
The
polarity will never change radically, after established; but life may introduce
disturbs that will start deforming the attractor, for less stable situations.
Eventually, if at the right direction, external influences may be a helper to
stabilizes the attractor (mainly naturally not well polarized attractors)
Non
humam primate species have no way to disturb core identity from others... with
torture. Torture is a human specialty and expertise.
The great master that study systems stability
is Prigogine (1978,1993).
Prigogine had in
Why
a system is stable or not?
Stability
is related to energy, and also stability disturb is related to energy.
Stable
attractors need alot of energy to be disturbed, as the dice. 6 positions are 6
stable attractors.
Let`s
remember our perfect pendulum. It is perfect, so it is not real, it may not
exists in that Universe, but only in our mental imagination, as a virtual
object.
Our
perfect pendulum never have energy dissipation.
As a pure mental pendulum inside our imagination, as the virtual pendulum, the
perfect one, he is not a dissipative system.
In that Universe, all real systems are dissipative. What says it is
second law of thermodynamics.
Our
bodies are dissipative systems. We need food and oxigen to live, and without
their energy we may not survive. We have a body temperature control,
we need energy to maintain.... our steady state.
Virtual
mental systems, to maintain a steady state need not energy, only imagination.
Real systems in that world need energy to achieve and maintain steady state.
After
the 5 biological steps, core gender identity is formed, and will be a steady
state if it receives some energy to continue, and receives not more than that
necessary energy, to be distorted and disturbed.
In
that real world:
No
energy, the system dies, bacause all real systems are dissipative;
Enough
energy, the system remains in a steady state;
More
energy than for steady state, the system may start, as a pendulum, to vibrate
or oscilate;
Much
more energy, may happen the imprevisibility and chaos
(deterministic) or any sort of stochastic anarchy.
The body need water, food and oxigen to maintain steady state,
or near steady state condition (dissipative systems may become old and old
systems may die).
The
core gender identity need energy to be a steady state.
That
energy is provided by:
1. Inner polar convictions, derived from the
own core gender identity attractor position in gender space, and
2. Environmental conditions,
that may help or disturb the
nature of the individual.
What
is the main factor that determines when someone have
more or less inner convictions as inner energy to stabilize core gender
identity?
Polarity.
Polarity
means inner conviction.
More polarity, more inner conviction, and vice versa.
When
the phase diagram shows the core gender identity goes to a near polar, even
oscilatory attractor, in harmony with the genitals or in discord with them,
then with polarity inner convictions have energy and strenght.

That
MFX test Phase Diagram plot for typical situations: Yellow for a
hermaphrodite; Blue, a crossdresser- CD (MtF) and Rose a transsexual- TS (MtF);
show that for the CD the gender identity flows from the male pole (0%
femininity) to near the same pole (almost 25-35% femininity). Even with some
oscilations, the polarity is maintained, what means alot of inner conviction
energy. For the TS, even with a complete discord from the male original source
(0% femininity) and some attractor oscilation, the attractor has a polarity, as
a female attractor (75-85% femininity), so alot of inner strenght. The
hermaphrodite, naturally has almost no polarity (in that example source
considered as 50% femininity), or a very weak polarity (in most cases) for the
attractor (see at Colapinto (2000) alot of examples of that lack of polarity on
hermaphrodites and some intersex conditions), that here range between 40 and
60%. That means very few inner energy or inner polar conviction. They need more
external help to polarize (self centered polarization, with the patient inner
conviction as the main decision always, and not the doctor or parents
convictions). CD`s and TS`s need no help to define their polar directions, they
need other kind of external help.
So, more polarity, more inner conviction strenght. Need less external help to polarize.
Polirized
systems as we may see in the next page the attractors, TS (female) and CD (male), need no external help to polarize. External influences
may be a danger, a problem or a torture.
Not
well polarized systems as the hermaphrodite example,
surely will need some wise help to polarize in a patient centered way.
All
three situations have internal oscilations and some lack of stability. They
need some energy (inner energy when possible) to stabilize as a steady state.

Some conditions of steady state are stable,
others may be not so stable.
As
in the “
Some
steady state systems are very stable, in other words, we need alot of energy to
disturb the system, and almost no energy to maintain the steady state.
Imagine
a dice, a perfect one. It exists only inside your imagination, obviously, as
our pendulum.
The
dice is over the table, in a stable steady state. As we said before, it may be
6 possible stable positions. It will be there for eternity (a real dice would,
after some thousands of years, surely deteriorate due to 2nd law of
thermodynamics), if you disturb it not. If with your finger you touch the dice,
almost nothing will happen... a very small amount of energy, the dice continues
with the same number over the top, in a steady state.
Now you
throw the dice over the ground, and the steady state is chaotically, even
anarchically disrupted, because alot of energy was over it. Nobody knows what
would be the new number at the top of the dice (if you imagined a honest dice).
But
we know the dice will stop over a face, but never over an interface.
Why?
Why
always the dice stops naturally (the real dice) in one of the 6 stable
positions, over one face?
To stop as a steady state over one face is much more stable (and more
probable) than over a possible interface. The
stability increases the probability for an event to really happen.
For
the dice, to stop at an interface between two faces would be absolutelly
unstable. Almost no energy would be necessary to put it over a face, at a
stable position. So, it would never stop over an interface (at least in the
almost real world we are imagining now – in
Core
gender identity formation is a question of 5 biologic steps,
and the result of that process trajectory or history will be, at the
earliest infancy a core gender identity biologically determined, and will
end natural and biologically in the more stable possible attractor, as the
most probable attractor.
For
all non human primates and also other species, the biological natural more
stable attractor is the final possibility. For man, that biological most stable
attractor may be considered not as the most social and cultural more
stable attractor.
Polarized
attractors are more strong and stable. Sinks are more stable and strong than
oscilatory periodic attractors.
Nature
is wise. Culture may be sometimes wise.
The
systems were naturally (genetic and endocrine) prepared to easily polarize in
one or the other pole. But some 1 to 2 % of the human population (some intersex
and almost all hermaphrodites) have not naturally strong polar attractors, due
to genes and hormones, acting in all tissues, mainly in the brain, mainly the
basal brain. For some of them, the natural biological more stable attractor may
be the non polarized one...
Polarized
or not, in an harmonic way with the genitals or in
discord with them, to maintain that system as a steady state we will need some
energy.
That
energy may be provided by inner energy sources or environmental energy sources.
From where comes inner energy to reinforce core gender identity?
As
we said earlier: inner conviction due to polarity.
Inner conviction will depend on the core gender attractor polar
stability.
A
simple sink attractor, polarized one as male or female,
will need less energy to be stabilized as a steady state, and on the other hand
will generate big inner conviction or big inner energy.
The
system will be a stable one (as the face of the dice), and will be difficult to
be disturbed by outsiders and environmental, cultural factors.
Sex
of rearing, tortures, exclusions and banishments will be very necessary to
disturb that core gender identity very stable attractor.
But
if the attractor is polar but not so stable, as a pendulum, as a period, then inner
conviction will be weaker and the system would need more energy to
stabilyze as a steady state, that the inner
conviction, perhaps, could not supply, or could supply only with a lot of
effort, or pain.
Here,
sex of rearing and other environmental interferences may help or disturb
the possible steady state of the not so stable system.
When
the external interference comes in the same direction of inner convictions
it will help to stabilize core gender identity.
If
it comes at the contrary direction, then it will disturb the system, and all
the system may collapse.
Some
core gender identity systems are very unestable, and others are very stable.
The
more lack of natural polarity, the more unestable is the system and require
alot of inner energy to stabilize, and the person may have not that natural
inner energy provision, most of the times, mainly when small children.
They
need some help from outsiders.
Here
the gender therapist may help.