See also file "The Cell" under menue Biology, first pages
Some first general aspects
1. A dimension chain in the model here has 5 steps,
5 → 4 →
3 → 2 →
1 → 0/00
There are 5-4 bases in the genetic code.
There are 5-6 atoms forming the rings (C, C-N) in carbohydrates
There are 4-5-6 elements as the essential building stones for the
structures of life chemistry (P-C-N-O/S-H) with valences 5-4-3-2-1.
- 4-5 or 5-6 cyclic processes have been regarded as condition for
life (Marquand: Life, 1970).
- 4-5 cells in the development of the fertilized ovum becomes the
embryo, according to some source.
Hence, there is a lot (and more than these things) to be said in
favour of counting on 5 primary dimensions.
Why "dimensions"? Here is assumed that
numbers ultimately, at bottom, are rooted in dimensions, and a transformation
through dimension steps to dimension degree (d-degree) 1 for instance
give 5 x 1 units. (With d-degree 0/00 substantiated 6.
2. There are the millions of chemical substances - all the butyric
acids, malic acids, formic acids of the chemists and thousands of
other unpronounceable molecules which change names and identity
only because they exchange an atom or move a group, all becoming
a brushwood for non-chemists. Perhaps it could be regarded as an
attempt to describe a forest through its spatial forms instead of
in terms of trees, earth, stones?
Perhaps all substances are as matrices to what
in reality is simple; perhaps it is the processes as matrices to
the individual substances that draw the simple patterns, or the
gist of these processes?
Dimension chains on a field level may be imagined
working as fretsaws in the molecular substance as at production
of jigsaw puzzles, a dimensional process of inward / outward developments
where the small pieces get increasingly complex to interpret in
comparison with the whole, the entirety.
3. The aspect from the entirety towards the parts has in the dimension
model the same validity as a view in the opposite direction, the
synthesizing aspect from parts toward the more complex units.
If so, one should at a "pre-material"
field level have mass numbers, virtual weights, which get distributed
on atoms, translated to differentiated molecules and compounds.
We have also that most elements in practice are found in the form
(Is it possible to imagine that nuclear fission and molecular structures
could occur simultaneously under certain density and temperature
conditions? A differentiation of a whole mass to a multi-centre
molecule? Atoms interpreted as "poles" out of a bigger
unit in a process of varying fragmentation and simultaneously creating
It's probably only imaginable on an underlying
level where the Time axis still is double directed? In macrocosm
however, double and multiple stars seem to differentiate more or
less simultaneously out of cosmic clouds: a fragmentation into bound
systems as through "development inwards".)
Atoms can also be analysed as wave functions, as matter waves (in
d-degrees (3)--2--1-- according to our model here). This makes it
perhaps easier to understand their mutual connections as through
underlying fields - and processes of disintegration and association
as results of such things as diffraction and interference..
4. A conclusion of the dimension model is that the mass numbers
ought to have a much bigger importance for which chemical compounds
and molecules that are created than the common biochemistry is willing
to count on.
5. A dimension chain where each step develops to whole new secondary
dimension chains and steps in these to tertiary dimension chains,
is equal to what here is called a level chain. It surely implies
the same as"fractals".
A first level chain:
We should imagine that a level chain is double directed
at bottom, between outer poles in d-degree 4 or between macrocosm
and microcosm, between a part, a unit and its surrounding, centre
An alternative aspect is to regard a counterdirected
unit O → ← O with equal energy
level) from outside, from the environment, as a condition for new
Another aspect is to look at the dimension chain in right angle
to the main axis, polarization steps as
the development evolving through step 3--2 when the analysis concerns
the dimension degrees of material units.
Possibly too one could imagine underlying levels
"inverted" to superposed ones as expression for the pole
exchange 0--00, centre --- anticentre and change of direction.
6. According to first hypotheses in the dimension model the level
development also implies
- centre displacement where anticentre becomes a new centre, as
a kind of growing "strangeness", and
- a process towards increasing unidirection, differentiation
to more and more specified addresses.
The chemical substances become connected over increasing distances
as a result of this secondary development of new chains in each
step of earlier dimension chains, connected via underlying levels
in the same way as people's journeys over geographical distances
and distant contacts may have roots in their earlier relationships
and underlying psychological levels.
(An illustration could be the cutting of mRNA
before the translation process as redundant information. Back to
the relevant level of connection? )
Energy levels (as numbers) could function as addresses.
Each step in a dimension chain or level chain may be assumed as
representing a certain energy level, and molecular structures as
complex results of dimension processes then get different energies.
Interpreted as numbers (equivalent with personal code numbers) could
then represent addresses to equal (complementary) poles or structures
on a related level.
7. Assumptions in the dimension model is also that number of motion
moments increases towards lower degrees and higher levels. "Lost"
d-degrees in structure become translated into motions (and/or meeting
"the other way around").
This becomes also related to the optional level
of analysis: the more dimensions attributed to the structure, the
less to motions. In one formulation the number of "freedom
degrees" should increase with increasing complexity of the
If a simple atom or ion only has an unsophisticated
pathway motion in its local area before it gets bound, a more complex
molecule can be assumed to move in 1-2-3 dimensions, move on and
between others keeping its unbound freedom with a more or less differentiated
address (~ receptor) - as human beings on floors, between walls,
through streets towards their destinations.
8. Level development could also imply displacements in roles of
the involved atoms and molecules, a rising or lowering of the dimension
degree or d-degree step that the unit, atom or molecule represents
in relation to others at a certain stage or in a bigger context?
A displacement in its role, expressed through displacements and
angle changes on its underlying levels, as changed binding directions,
variations in their relative electronegativity, changes in oxidation
Coordinate axes - directions - angle steps:
9. It should follow from the analysis of electron shells that all
electrons involved in molecular bonds, orbitals and directions in
space around an atom differ mutually, represent different dimension
degrees and steps and levels or different poles of a d-degree. No
coordinate axes can be equivalent in the sense that they are all
the same, the magnetic polarity N-S included.
One example is the central C-atom in amino acid
In addition to the division of the 4 directions into 3 + 1 (1 for
the side chains) one has the R-H-axis in opposition to the axis
NH2 -----COOH with character of inward / outward direction respectively,
poles of d-degree 4, e. g. hydrophobic versus hydrophilic directions
in Glu, and the axis of the peptide bindings, secondarily polarized
in + and -, NH3+ and COO-, a polarization in the property
Atoms direct the space.
It should be possible to regard them as micro-codes for dimension
chains, therewith also for biochemical processes on superposed levels:
codes similar to the genes in DNA for the proteins of cells, although
of a more directly involved character.
And different levels within the atoms should act
on different superposed levels in the chemical processes via the
orbitals as "field lines" in the environment?
10. The coding language on the chemical level is also an angle
language. Compare for instance sp-hybridizations, boat- and chair
forms of carbon rings etc. One may wonder if perhaps within the
atom as "autonomous" a dimensional process is going on
as a kind of "standing wave", then through the angle steps
The magnetic poles of the Earth reverse now and then, a "pole
exchange". Then perhaps the magnetic coordinate axes in atoms
do the same? Of the same obscure reason. With the result that bonds
get broken. (Perhaps an answer to why substances age, break down,
have to be renewed?)
If there is a connection between mass and angles,
perhaps mass numbers - and valences - not unambiguously are integers
(in number of u or e-). Binding capacity or potential could lie
between integers and this become a factor in the force driving chemical
processes. (Also to regard as a consequence of the assumed secondary
development of new dimension chains in steps of the first one. Cf.
11. In the parts about physics here it's suggested that we have
a kind of polarity matter - antimatter on all levels. Then L/D-forms
of amino acids would be one example on the molecular level. (Fungi
and eventually some bacteria contain both forms, so it's said, but
all higher organisms only the L-forms.) This would be one example
of increasing unidirection in the development towards lower d-degrees
and superposed levels.
Perhaps, mentioned only as a speculation, the
D-form of amino acid tetrahedrons in its elementary form exists
as part or interval structure within DNA, as the complementary picture,
its "negative" - regarded from a certain angle in the
DNA-helix? Analogous then to the hypotheses (some decades ago) about
a p --- anti-p-relation in the centre of atomic nuclei. (Cf. a pyrimidine
ring as ring structure, in relation to two B-chains of an amino
acid as a zigzag-way
in the ring: C-C-N.)
12. Many amino acids and some nucleic acids too can spontaneously
be formed in a soup of smaller molecules with the supply of energy
in some form (Miller 1953 and many subsequent experiments).
One may then imagine that the lightning or the other energy supplied
defines a centre, that is a 0-pole as the condition for a dimensional
development according to primary laws: a centre equivalent with
a pole of d-degree 5. Or that it defines the main axis in a dimensional
chain which also represents the energy steps?
13. A general aspect on biochemical processes is to regard them
as efforts by a fragmented matter to recreate entireties - and at
the same time solve number demands of dimension chains (probably
with different types of mathematics in different d-degrees).
The metabolism of the cell, its energy transports,
copying processes, feedback mechanisms etc. should according to
the hypotheses here be possible to describe as dimension chains
through all levels from the elementary particle level to the cell
level, to and fro, out- and inwards, in a certain similarity with
14. With a Time aspect, we could adopt the description that what
is "quantum jump" happenings on an underlying level, more
and more develops in time toward superposed levels to increasingly
more of processes in several steps.
That which in the centre of an atom eventually
may be called a "pole exchange" or an inversion, can on
a biochemical level have developed to a long process (while other
"jumps" still may be more as jumps, not yet have had the
time to a secondary development in many steps)?
Perhaps one example is the move of one oxygen
atom from one end to the other in the aldehyde part of fructose:
a process in about 10 steps in the glycolysis (from Glycerin-aldehyde
(Even if the cell chemistry seems fully developed from "the
beginning", it may have taken some important seconds, equivalent
with the creation of a material Universe after Big Bang. )
Interpreting processes as a fragmentation into several steps, it
could also motivate a summation of the stages as in opposite direction,
with exclusion of the Time axis.
Different stages - in simultaneous existence - becomes also free
actors in different other processes.
15. Further, it has been assumed in this model that there is a
gradual substantiation of the last steps in a dimension chain through
counterdirection from other units. This could be one way to regard
the covalent bonds, where atoms (as 0-poles) with their free valences
as virtual lines or field lines are saturated with corresponding
"field lines" from other atoms and chains as linear and
get bound to surfaces and further to volumes through folding.
The chemical principle addition (through
condensation of similar units to "linear" chains) may
generally be regarded as such a substantiation of the 1st d-degree
on a superposed macromolecule level. Carbohydrate chains as n x
glucose is one example, protein synthesis another.
These additions could probably be interpreted
as expressions on the biochemical level for longitudinal waves on
the level of physics.
Other additional processes are in reality summation
of different stages of "the same" substance, as Acetyl~
and Malonyl~ in the fatty acid synthesis. (See Fatty acids.)
16. In the biochemical processes the wanderings or migrations of
2H are central.
The last step in a dimension chain, 1 →0/00,
as a polarization into poles 1a/1b gives the sum of poles 2, 2 "E"
as a potential value in the d-degree of Motions, the processes.
This according to our assumptions in the model.
In each step outwards 2 E are debranched, corresponding with the
(Cf. the way to write NADPH+H: indicating a difference between the
2 H, as between poles 1a and 1b, or roles of poles 0 and 00 in d-degree
On the elementary geometrical level the poles
1a and 1b represent virtual (haploid) lines - presumably for catching
and aggregating from the environment. Representing possible connections
with other dimension chains.
17. "Activating" of a substance, a molecule, could hypothetically
be interpreted as a displacement half a step, corresponding to 1/2
dimension degree (perhaps from a pole to the main axis) or between
interval and border in the dimension chain, (towards a binding or
polarizing centre). The activation implies reasonably also a displacement
of charge within the molecule - perhaps analogous with the depolarization
in a nerve cell which releases a nervous signal when charge over
the cell membrane becomes zero.
18. A consequence of the dimension model could be that also processes
patterns, as structures, could appear as 1-2-3-4-dimensional.
It would be possible then to have "linear"
processes and cyclic ones, rotating processes (as that in the porphyrine
synthesis), wavy ones (as the synthesis of fatty acids could be
described), double-directed versus unidirected processes, pole exchanges
(as perhaps in the move of the COO-group in Pyruvate to Malonyl~
via Acetyl~ ). We could also find the geometrical
opposition between radial versus circular/spherical structures when
processes on a macro level are studied more closely, as between
glycolysis and citrate cycle.
19. Cyclic processes can be interpreted in several ways, departing
from our dimension model: as an expression for rotation, appearing
in d-degree step 4→3, but also as
the development of the 0-pole through steps -4-3-2-1 with angle
steps in the same direction, re-coupling to the start. In this respect
also an expression for the 00-pole, the pole of repetition and for
manyfoldness. (Cf. perhaps the respiration cycle "within"
the citrate cycle. ?)
In general terms cyclic processes becomes expressions
for the increasing unidirection towards lower d-degrees as towards
20. The aggregation forms of matter, its different phases, may
be regarded as steps in a dimension chain:
There are the 3-dimensional crystals of minerals and
the 2-dimensional, plane H2O-molecules
of water for instance. Identifying gases as 1-dimensional in structure
seems perhaps a bit more problematic. However, in 2-atomic gases
there is just one linear relation and most gases exist in the forms
of molecules. Inert gases should more correctly perhaps be described
as 0-dimensional ("points"). The gas phase appears in
and it's reasonable to see plasma as a phase of type 0/00, where
even the elementary link between charges, protons and electrons,
According to first aspects on our dimension model, there are in
direction outwards a stepwise decreasing d-degree of structure,
increasing d-degree of motions as translation of the lost d-degrees
in structure. In the opposite ("synthesizing") direction,
an increasing number of structure building bonds.
= motions (as vibration, rotation, translation) as polarizing "force"
d-degree 0/00, breaking structures towards lower aggregation forms.
Density gradients = assumed here as the "physical quantity"
in d-degree step 5→4, decreasing
towards lower d-degrees. (Pressure one factor.)
21. Phases corresponding to d-degrees 4 and 5?
The state of matter in neutron stars is of course another phase,
but hardly of the same structural kind as the other "phases",
sooner as a compressed form of plasma, the antithesis to plasma,
individual neutrons without external relations, total lack of an
expressed outer structure, through pressure.
A 4- (or 5)-dimensional aggregation form of matter
of the structuring kind would simply oppose the definitions adopted
in this model that mass (or matter) isn't defined as property before
d-degree 3. The property disappears in black holes and at Big Bang
there is only a mathematical point or singularity.
However, in life chemistry it seems as if we could talk about a
new phase, of underlying elementary phases appearing in a new combination.
Inverted to a superposed level, through d-degree step 3-2. All "phases"
represented, even 4-dimensional "vector phases" as gradients
of different kinds.. The plasma phase for instance appearing in
photolysis, the separation of e- and H+, united again in the respiration
cycle. The higher d-degrees are of course inherent in mass.
Using the term "phase" here is of course only one way
to look at the creation of structures.
The co-ordination of processes to serve the unit
as a whole implies or looks like building 4-3-2-1-0-dimensional
structures of pure motions as "building stones".
(Perhaps, regarding the dimension chain of motions, counterdirected
to that of structure and with our simple assumption that number
of motion moments agree with lost d-degrees in structure, it would
be possible to identify 15 elementary kinds of motions in a cell?)
In any case the number of motional moments would increase on superposed
[*About motion moments in different aggregation forms on the elementary
non-life level: The hypothesis that lost d-degrees in structure
should be looked for and found in external motions may often seem
too primitive even if well-founded, when looking to type and number
of motions. Yet it may perhaps throw light upon some behaviour of
matter in the different aggregation forms:
- Solids: There is of course no 2-dimensional motion of "rotation"
in parts of solid matter on earth - as the rotation of celestial
bodies and atomic nucleons in macro- and microcosm. But growth of
crystals with new layers of surfaces - and oscillations in lattices.
- Liquids: Through surface tension creeping by capillarity; liquid
Helium creeping 3-dimensionally over all surfaces
streams in liquids have been detected and studied.
- Gases: The different, well studied motional moments of 1-2-atomic
gases: vibration, rotation and translation in 3 dimensions
and contraction (as it seems in celestial hydrogen clouds)
- Plasmas: In the behaviour of plasmas it sounds quite possible
to identify motions in 5 dimensions according to fusion research:
spiralling, pumping, elevation anti-gravitationally, pole turning