1. system overview
this is a radial model of cognition mapping human disciplines onto a geometric and anatomical brain metaphor.
- name = kairos time/space ontology.
- purpose = a production engine (
sutorium
) and interface (tectorium
) to move from abstract to concrete. - core structure = the
liberatum
(red lines), a system of pathways based on the golden ratio,φ
.
2. core components & layout
the diagram is structured around a 360° circle, brain lobes, and a central pentagram.
a. circumferential disciplines (the wheel):
- 0°/360° (north) = philosophy
- right hemisphere (east) = idea > concept > theory > composition > verse > poetry > visual arts
- 180° (south) = painting / sculpting
- left hemisphere (west) = elemental chemistry > chemistry > physics > geometry > mathematics > algebra > problem-solving > abstraction
- note: the main vertical axis from north (
philosophy
) to south (painting/sculpting
) represents the transition from abstract (north) to concrete (south).
b. anatomical metaphor (the brain):
- frontal lobe (top) = philosophy, idea, concept
- occipital lobe (bottom) = vision, painting, sculpting
- temporal lobes (sides) = hearing, musical triads (right) / mathematics (left)
- parietal lobe (center) = taste, touch, smell
- integrative core = the central nexus where disciplines converge:
architecture
: structured spacebiology
: living systemsalchemy
: material transformationcomposition
: creative arrangementcosmology
(left): the map of realitymetaphysics
(right): the meaning of the map
c. geometric structure (the web):
a central pentagram forms the primary structure, connecting five key nodes. the connecting axioms between these nodes represent specific domains of knowledge:
- axiom 1-4 | philosophy ↔︎ elemental chemistry
- theme: the axis of transmutation. connects abstract principles to material reality.
- domains: philosopher’s stone, alchemy, material science.
- axiom 1-3 | philosophy ↔︎ visual arts
- theme: the axis of representation. connects abstract principles to symbolic expression.
- domains: astrology, composition, symbolism.
- axiom 3-5 | visual arts ↔︎ mathematics
- theme: the axis of form & proportion. connects aesthetic expression to its underlying logical structure.
- domains: proportional arts, colors, architecture, mathematical ratios.
- axiom 5-2 | mathematics ↔︎ theory/composition
- theme: the axis of abstract systems. connects pure logic to structured creative languages.
- domains: algebra, sacred geometry, cosmology, metaphysics, universal language, music theory/harmonics.
- axiom 2-4 | theory/composition ↔︎ elemental chemistry
- theme: the axis of natural systems. connects structured patterns to their manifestation in the physical and biological world.
- domains: musical triads, biology, biophysics, applied science.
3. governing principles
the system operates on a set of core dualities and mathematical constants.
- the golden ratio (
φ
= 1.618): this is the core mathematical principle governing the system's proportions and connections. - east/west polarity: this is the primary organizing axis, mirroring left and right.
- west (left |
+
energy):intime/timely
.linear boundaries
. analytical thought (math, physics). the temporal archetype. - east (right | energy):
spatial
.no boundaries
.nuance + texture
. intuitive thought (art, poetry). the spatial archetype.