Projective & Path Curve Geometry of the Ethers & Elements
Nick C. Thomas
Projective Geometry:
Focuses on incidences between points, lines, and planes, devoid of metric considerations such as distance or angle. It embodies principles like duality and invariance, as highlighted in Desargues' theorem. Projective geometry relates closely to the transformations and interactions between spatial and counterspatial forms.
Path Curve Geometry:
Deals specifically with geometric entities tracing continuous paths through transformations, often linked to specific mathematical forms such as lemniscates or vortices. Path curves extend projective principles into dynamic and recursive modeling, often applied to describe living and non-living systems..
Light:
"The most suitable linkage tensor for light is the contravariant bivector, represented by a cone in counter space... Polar affine linkages characteristic of light embrace the whole apparatus and allow for comprehending reflection, refraction, absorption, and diffraction".
Matter:
"In matter, we have pointwise linkages via CSIs, which explains why the point-based particle-approach adopted in physics and chemistry succeeds".
Space:
"The metric of counter space is expressed by turn and shift, whereas that of space is embodied in length and angle. The polar opposite of area and volume manifests as polar area and polar volume".
Gravity and Levity:
Gravity as a stress in counterspace arising from strain in motion; levity counters this.
Polarity:
"Polar relationships govern the connections between space and counterspace, defining shifts and turns as dualities, emphasizing the harmony of opposing measures".
Time:
"Time relates to the reciprocal of radial turn in counterspace," where radial turn represents a specific relationship between planes tangential to a counterspace sphere and the plane at infinity. This interpretation emerges from the interaction between space and counterspace metrics, where time functions as a measure of their dynamic linkage rather than as an independent dimension. ... "Radial turn in counterspace correlates inversely with time intervals," such that movements within counterspace generate a time experience proportional to changes in these radial transformations.
ETHERS
Warmth Ether manifests as a disorganizing force that neither constructs macroscopic nor microscopic structures but instead dissolves existing forms. It fosters instability and transformation, playing a crucial role in expansive processes such as fertilization and ripening. Geometrically, warmth ether corresponds to chaotic, dynamic forms that resist symmetry and stability. This ether connects with salamanders, beings that embody its expansive and non-structured character, emphasizing its transformative and disorganizing essence.
Warmth Ether Geometry
- Associated with chaotic forms lacking fixed metrics.
- Exhibits transitions and transformations without preserving structure, aligning with irregular and fractal-like forms.
Light Ether operates exclusively on a macroscopic scale, organizing forms through spatial extensions and symmetries without influencing molecular structures. It aligns with geometric principles involving rays, planes, and projective transformations that govern phenomena like coherence and polarization. Sylphs mediate light ether, orchestrating archetypal patterns and large-scale alignments in nature, such as those seen in plant forms. This ether extends the physical into the archetypal, embodying light as a connector of higher organizing principles.
Light Ether Geometry
- Characterized by rays, polarization, and expansive forms.
- Uses projective geometry for macro-structural alignment without microscopic focus.
Nick C. Thomas
Projective Geometry:
Focuses on incidences between points, lines, and planes, devoid of metric considerations such as distance or angle. It embodies principles like duality and invariance, as highlighted in Desargues' theorem. Projective geometry relates closely to the transformations and interactions between spatial and counterspatial forms.
Path Curve Geometry:
Deals specifically with geometric entities tracing continuous paths through transformations, often linked to specific mathematical forms such as lemniscates or vortices. Path curves extend projective principles into dynamic and recursive modeling, often applied to describe living and non-living systems..
Light:
"The most suitable linkage tensor for light is the contravariant bivector, represented by a cone in counter space... Polar affine linkages characteristic of light embrace the whole apparatus and allow for comprehending reflection, refraction, absorption, and diffraction".
Matter:
"In matter, we have pointwise linkages via CSIs, which explains why the point-based particle-approach adopted in physics and chemistry succeeds".
Space:
"The metric of counter space is expressed by turn and shift, whereas that of space is embodied in length and angle. The polar opposite of area and volume manifests as polar area and polar volume".
Gravity and Levity:
Gravity as a stress in counterspace arising from strain in motion; levity counters this.
Polarity:
"Polar relationships govern the connections between space and counterspace, defining shifts and turns as dualities, emphasizing the harmony of opposing measures".
Time:
"Time relates to the reciprocal of radial turn in counterspace," where radial turn represents a specific relationship between planes tangential to a counterspace sphere and the plane at infinity. This interpretation emerges from the interaction between space and counterspace metrics, where time functions as a measure of their dynamic linkage rather than as an independent dimension. ... "Radial turn in counterspace correlates inversely with time intervals," such that movements within counterspace generate a time experience proportional to changes in these radial transformations.
ETHERS
Warmth Ether manifests as a disorganizing force that neither constructs macroscopic nor microscopic structures but instead dissolves existing forms. It fosters instability and transformation, playing a crucial role in expansive processes such as fertilization and ripening. Geometrically, warmth ether corresponds to chaotic, dynamic forms that resist symmetry and stability. This ether connects with salamanders, beings that embody its expansive and non-structured character, emphasizing its transformative and disorganizing essence.
Warmth Ether Geometry
- Associated with chaotic forms lacking fixed metrics.
- Exhibits transitions and transformations without preserving structure, aligning with irregular and fractal-like forms.
Light Ether operates exclusively on a macroscopic scale, organizing forms through spatial extensions and symmetries without influencing molecular structures. It aligns with geometric principles involving rays, planes, and projective transformations that govern phenomena like coherence and polarization. Sylphs mediate light ether, orchestrating archetypal patterns and large-scale alignments in nature, such as those seen in plant forms. This ether extends the physical into the archetypal, embodying light as a connector of higher organizing principles.
Light Ether Geometry
- Characterized by rays, polarization, and expansive forms.
- Uses projective geometry for macro-structural alignment without microscopic focus.
❤1
Chemical Ether (or Tone/Number Ether) works on a microscopic level, structuring matter through chemical synthesis and molecular bonding. Its influence governs interactions like covalent and hydrogen bonding, facilitating organization at a fundamental level. Geometrically, it interacts with counterspatial harmonics, shaping matter with intrinsic order rather than external forces like electricity. Undines mediate chemical ether within water, integrating and balancing its structuring processes to ensure harmony in material synthesis.
Chemical Ether Geometry
- Relies on harmonic relationships and counterspatial structuring.
- Uses geometric transformations tied to symmetry in chemical interactions.
Life Ether transcends the boundaries of macro and micro-organization, integrating these levels into a unified whole. It orchestrates living systems, enabling growth, healing, and the functional unity of organisms. Its geometric manifestations include lemniscates and logarithmic spirals, reflecting self-referential and recursive forms. Gnomes mediate life ether, channeling its upward and integrative energy to harmonize living processes and align diverse elements into cohesive systems.
Life Ether Geometry
- Embodies recursive, self-organizing shapes like lemniscates and spirals.
- Links macro- and micro-dynamics in a cohesive, integrative framework.
Defining Geometric Linkages
Linkages as elements simultaneously existing in both Euclidean space and counterspace, facilitating their dynamic interaction. The core types of linkages and their characteristics include:
Pointwise Linkages
Pointwise linkages connect specific locations in Euclidean space with their counterparts in counterspace. A point in Euclidean space translates into a system of lines and planes in counterspace. Thomas describes how objects linked through points undergo transformations governed by counterspatial metrics, resulting in strain and stress when these metrics conflict with spatial geometry. For instance, a cube linked at a point will deform along counterspatial principles, even as it retains its Euclidean form.
Surface Linkages
These linkages emphasize the interaction of surfaces between space and counterspace. They describe transformations that occur across two-dimensional planes, allowing for dynamic relationships like oscillations and rhythm. For example, in biological systems, surface linkages mediate the spatial spread of chemical or etheric forces, shaping growth and form through counterspatial patterns.
Volumetric Linkages
Volumetric linkages describe the interplay of space and counterspace within three-dimensional volumes. These linkages govern expansive and compressive phenomena, such as the elasticity observed in gases or fluid dynamics. Thomas highlights the importance of volumetric linkages in explaining phenomena like spiral motions or vorticity in fluids, where counterspatial metrics introduce novel behaviors like long-range forces.
Dynamic or Kinematic Linkages
These linkages capture the movement and transformation of objects as they obey the metrics of both spaces. Thomas explains that such dynamics often result in rotational transformations, which minimize stress in systems linked to counterspace. For example, rotation about an axis through the counterspatial point at infinity represents a stress-free transformation, illuminating why rotation appears so ubiquitously in natural phenomena.
Download the Nick Thomas Collection
https://icedrive.net/s/7AiPQ8awZtaTX6VSffhbP827g17v
View the articles mirrored on Aether Force
https://www.aetherforce.energy/?s=nick+thomas
#geometry #projectivegeometry #pathcurvegeometry #ethers #formativeforces #nickthomas #counterspace #steiner #goetheanscience #polarity #anthroposophy
Chemical Ether Geometry
- Relies on harmonic relationships and counterspatial structuring.
- Uses geometric transformations tied to symmetry in chemical interactions.
Life Ether transcends the boundaries of macro and micro-organization, integrating these levels into a unified whole. It orchestrates living systems, enabling growth, healing, and the functional unity of organisms. Its geometric manifestations include lemniscates and logarithmic spirals, reflecting self-referential and recursive forms. Gnomes mediate life ether, channeling its upward and integrative energy to harmonize living processes and align diverse elements into cohesive systems.
Life Ether Geometry
- Embodies recursive, self-organizing shapes like lemniscates and spirals.
- Links macro- and micro-dynamics in a cohesive, integrative framework.
Defining Geometric Linkages
Linkages as elements simultaneously existing in both Euclidean space and counterspace, facilitating their dynamic interaction. The core types of linkages and their characteristics include:
Pointwise Linkages
Pointwise linkages connect specific locations in Euclidean space with their counterparts in counterspace. A point in Euclidean space translates into a system of lines and planes in counterspace. Thomas describes how objects linked through points undergo transformations governed by counterspatial metrics, resulting in strain and stress when these metrics conflict with spatial geometry. For instance, a cube linked at a point will deform along counterspatial principles, even as it retains its Euclidean form.
Surface Linkages
These linkages emphasize the interaction of surfaces between space and counterspace. They describe transformations that occur across two-dimensional planes, allowing for dynamic relationships like oscillations and rhythm. For example, in biological systems, surface linkages mediate the spatial spread of chemical or etheric forces, shaping growth and form through counterspatial patterns.
Volumetric Linkages
Volumetric linkages describe the interplay of space and counterspace within three-dimensional volumes. These linkages govern expansive and compressive phenomena, such as the elasticity observed in gases or fluid dynamics. Thomas highlights the importance of volumetric linkages in explaining phenomena like spiral motions or vorticity in fluids, where counterspatial metrics introduce novel behaviors like long-range forces.
Dynamic or Kinematic Linkages
These linkages capture the movement and transformation of objects as they obey the metrics of both spaces. Thomas explains that such dynamics often result in rotational transformations, which minimize stress in systems linked to counterspace. For example, rotation about an axis through the counterspatial point at infinity represents a stress-free transformation, illuminating why rotation appears so ubiquitously in natural phenomena.
Download the Nick Thomas Collection
https://icedrive.net/s/7AiPQ8awZtaTX6VSffhbP827g17v
View the articles mirrored on Aether Force
https://www.aetherforce.energy/?s=nick+thomas
#geometry #projectivegeometry #pathcurvegeometry #ethers #formativeforces #nickthomas #counterspace #steiner #goetheanscience #polarity #anthroposophy
👍2
"Loom of Creation" & "Kosmos"
by Dennis Milner & Edward Smart
Two books examining the ethers, the geometry of form, gas discharge visualization techniques, and the interplay of light with subtle organizing forces.
Only two of three books written by this duo are currently addressed in this post. A sequel to The Loom of Creation sits on my shelf, but scanning it requires equipment I do not currently possess or have easy access to. Community contributions could help fund a professional book scanner, allowing an extensive archival project to preserve and share literary and research gems like these.
Discover how you can support the Aether Force archival mission by clicking here
https://t.me/aetherforceposts/4493
Download the two books by Milner & Smart
https://icedrive.net/s/W7PkajNXiv8DTA2VtGvB9RNktiXi
Milner & Smart provide a novel exploration into the etheric forces that shape existence, focusing on their role in the organization of both material and living forms. High-voltage equipment, including Wimshurst machines and custom-built power sources, enabled experiments where controlled electrical pulses acted upon metal electrodes placed on photographic plates. These setups consistently produced intricate stress patterns, such as striated discs at negative electrodes and branching streamers at positive electrodes. Photographic plates with silver halide grains, glass surfaces coated with fine powders, or plastic plates dusted with photocopy powder revealed these patterns, demonstrating how material boundaries interacted with etheric energy fields. Additional experiments on water droplets and plant leaves registered dynamic energy fields that suggested unseen organizational principles at work.
The text identifies four etheric states—warmth, light, chemical, and life—that evolved sequentially and contribute distinct functions. Warmth ether serves as the foundation of energy and will, infusing the physical world with dynamic power. Light ether allows perception and forms the basis of the sensory and nervous systems, while chemical ether supports material interactions, driving processes such as metabolism and chemical reactions. Life ether governs growth, reproduction, and organic vitality, underpinning the continuity and renewal of life. These forces, though subtle, exert measurable effects. Observations of water droplets and leaves demonstrated energy fields that changed depending on material composition and environmental conditions, showing that etheric forces actively guide the forms and interactions seen in nature. Opposition forces, crystallize portions of these etheric states into denser, resistant material forms, providing necessary tension for physical evolution to occur alongside spiritual advancement.
Etheric forces directly influence human development and vitality, shaping physical, mental, and spiritual growth. Warmth ether supports willpower and motion, light ether underlies perception and thought, chemical ether sustains metabolic functions, and life ether animates human reproduction and vitality. By capturing structured energy patterns in electrophotography and stress-induced powder techniques, the research validates the existence and active role of these states in shaping both matter and life. Their findings illustrate how etheric forces integrate with observable phenomena, demonstrating their impact on the forms and functions of both organic and inorganic systems.
Loom of Creation Vol 1 Mirrored on Aether Force
Chapter XI
Chapter VII
Chapter XIII
Chapter IX
Chapter X
Chapter XI
Chapter XII
#ethers #formativeforces #gdv #milner #steiner #anthroposophy
by Dennis Milner & Edward Smart
Two books examining the ethers, the geometry of form, gas discharge visualization techniques, and the interplay of light with subtle organizing forces.
Only two of three books written by this duo are currently addressed in this post. A sequel to The Loom of Creation sits on my shelf, but scanning it requires equipment I do not currently possess or have easy access to. Community contributions could help fund a professional book scanner, allowing an extensive archival project to preserve and share literary and research gems like these.
Discover how you can support the Aether Force archival mission by clicking here
https://t.me/aetherforceposts/4493
Download the two books by Milner & Smart
https://icedrive.net/s/W7PkajNXiv8DTA2VtGvB9RNktiXi
Milner & Smart provide a novel exploration into the etheric forces that shape existence, focusing on their role in the organization of both material and living forms. High-voltage equipment, including Wimshurst machines and custom-built power sources, enabled experiments where controlled electrical pulses acted upon metal electrodes placed on photographic plates. These setups consistently produced intricate stress patterns, such as striated discs at negative electrodes and branching streamers at positive electrodes. Photographic plates with silver halide grains, glass surfaces coated with fine powders, or plastic plates dusted with photocopy powder revealed these patterns, demonstrating how material boundaries interacted with etheric energy fields. Additional experiments on water droplets and plant leaves registered dynamic energy fields that suggested unseen organizational principles at work.
The text identifies four etheric states—warmth, light, chemical, and life—that evolved sequentially and contribute distinct functions. Warmth ether serves as the foundation of energy and will, infusing the physical world with dynamic power. Light ether allows perception and forms the basis of the sensory and nervous systems, while chemical ether supports material interactions, driving processes such as metabolism and chemical reactions. Life ether governs growth, reproduction, and organic vitality, underpinning the continuity and renewal of life. These forces, though subtle, exert measurable effects. Observations of water droplets and leaves demonstrated energy fields that changed depending on material composition and environmental conditions, showing that etheric forces actively guide the forms and interactions seen in nature. Opposition forces, crystallize portions of these etheric states into denser, resistant material forms, providing necessary tension for physical evolution to occur alongside spiritual advancement.
Etheric forces directly influence human development and vitality, shaping physical, mental, and spiritual growth. Warmth ether supports willpower and motion, light ether underlies perception and thought, chemical ether sustains metabolic functions, and life ether animates human reproduction and vitality. By capturing structured energy patterns in electrophotography and stress-induced powder techniques, the research validates the existence and active role of these states in shaping both matter and life. Their findings illustrate how etheric forces integrate with observable phenomena, demonstrating their impact on the forms and functions of both organic and inorganic systems.
Loom of Creation Vol 1 Mirrored on Aether Force
Chapter XI
Chapter VII
Chapter XIII
Chapter IX
Chapter X
Chapter XI
Chapter XII
#ethers #formativeforces #gdv #milner #steiner #anthroposophy
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✨ May your evening be filled with inspiring imaginations from our posts about water, radionics, radiesthesia, biological communication, the ethers, and projective geometry .
📲 Having explored all the similar channels…
✨ May your evening be filled with inspiring imaginations from our posts about water, radionics, radiesthesia, biological communication, the ethers, and projective geometry .
📲 Having explored all the similar channels…