O-Day - Another Dimension (Part 1)| Bob Greenyer of the Martin Fleischmann Memorial Project
https://www.youtube.com/live/2-yrjwzO5WU

Bob Greenyer from the Martin Fleischmann Memorial Project presents seven years of experimental evidence demonstrating toroidal monopole structures through electromagnetic and cavitation processes. Supporting evidence includes ball lightning experiments by Elena Aritskev using iron 57 and magnets demonstrating two aggregating magnetic charge types, a John G Kramer 1983 paper describing monopoles catalytically causing matter separation, and iron rich crenellated spheres with holes in the Nova reactor. The Vega experiments employing electromagnetic discharge in potassium nickel sulfate solution produced nickel foil developing spots with central zones surrounded by rings of different material visible across multiple magnifications with paired vortex structures at specific angles indicating multipole configurations. Experimental evidence establishes monopole structure through disruption zones showing 120 degree cracks converging toward solenoid centers, fused quartz material removal precisely aligned with magnetic field centers creating cauliflower structures, and SEM analysis revealing calcium synthesis where none existed in control samples. The Bogdanovic work demonstrates gravitational components through offset spiral patterns matching accelerating matter in astrophysical phenomena.

From ultrasonic cavitation experiments producing ring structures with beams at specific angles and Hutchison samples showing fractal toroidal variations up to 48 levels, a consistent pattern emerges showing two primary substructures in yin yang configurations with synthesis occurring on one side through element creation and decomposition on the other. The ultrasonic cavitation demonstrates boron depletion on one side with calcium synthesis on the other, while the Lion reactor shows calcium formation from aluminum and oxygen components indicating directional matter transformation following golden ratio geometry. Greenyer develops a sacred geometry model positioning toroidal structures within overlaid circles and the vesica piscis demonstrating the Christ Center configuration as the nucleation point where golden ratio lines precisely align with observed material synthesis zones and disruption boundaries. The model shows one side performs electronuclear collapse tearing matter apart while the opposite side builds new matter through element synthesis. When moderately energized the toroidal structure glows without material destruction but exceeding a critical threshold produces matter disintegration. Comparison to the Nature peer reviewed study on direct Dirac monopoles from the University of Helsinki shows observational data matches Greenyer's model more accurately than published synthetic calculations suggesting the toroidal monopole structure with vesica piscis nucleation represents the fundamental entity enabling matter manipulation and vacuum engineering.

Greenyer demonstrates physical manifestations of sacred geometry through examination of structural anomalies in experimental materials and natural formations. The two substructure configuration appears consistently across all experimental scales from microscopic ultrasonic cavitation producing hemispherical formations to macroscopic plasma discharge results. Tesla's Wardenclyffe Tower plasma documentation and 200 million year old ammonite fossil shells show the identical toroidal geometry with the spiral pattern getting progressively smaller at each recursive level. The ion configuration operates as breaker and maker with one side executing electronuclear collapse producing carbon deposits and protons while the opposite side synthesizes heavier elements from existing substrate, explaining observed calcium formation from aluminum and oxygen, boron depletion from aluminum, and heavy element creation in various experimental systems. The third level substructure would theoretically enable breaking of subnuclear bonds causing complete matter disintegration whereas earlier levels break chemical and nuclear bonds respectively. These findings demonstrate the toroidal monopole represents a universal structure observable in astrophysics, historical technology, nature and controlled experiments validating the sacred geometry model as fundamental to understanding matter manipulation and vacuum engineering technology.

O-Day - New Dawn of an Old Age (Part 2)| Bob Greenyer of the Martin Fleischmann Memorial Project
https://www.youtube.com/live/_GO_3A8hcwc

Bob Greenyer from the Martin Fleischmann Memorial Project presents the Great Pyramid of Giza as a solid state vacuum energy reactor. Standing in the grand gallery during March 2023, he describes how the pyramid functions through water disassociation into hydrogen and oxygen. Radioactive granite slabs ionize the hydrogen, producing etheric matter clusters that generate vacuum currents. These currents organize into toroidal monopole structures aligned north and south following Earth's magnetic field. The resulting configuration creates two distinct zones where electronuclear breakdown on one side produces lighter elements and protons while the opposite maker side synthesizes heavier elements like gold through transmutation. Limestone comprises the King's chamber because its non spinning isotopes resist element conversion. Calcium, carbon and oxygen represent 99.76 percent of its mass preventing unwanted synthesis. The radioactive granite slabs previously slotted into grooves running the length of the grand gallery enable this ionization process, making their precise positioning critical to operational function.

The pyramid's geometry encodes sacred geometry with the vesica piscis demonstrating the Christ Center as the nucleation point. Golden ratio lines align precisely with observed material synthesis zones and disruption boundaries throughout the structure. Recent muon detector scans from the ScanPyramids project revealed an undiscovered void chamber positioned to balance the grand gallery. This chamber allows hydrogen to ionize through radioactive decay creating the ionized hydrogen needed for the synthesis process. When water pours down the descending passageway it disassociates into hydrogen and oxygen, with hydrogen rising into the upper chamber while oxygen remains below. The hydrogen's conversion to etheric matter clusters becomes compressed to Planck length distances before entering wormholes and creating directional matter transformation. Three large granite blocks prevent access to the intense flux zone during operation protecting operators from harmful radiation exposure. An observation tunnel positioned below hydrogen levels enables operators to detect reactor status through visual inspection checking for glowing sprites, ozone or sulfur emissions typical of ball lightning. The limestone casing stones maintain hydrogen caps preventing leakage while tight fitting exterior casing up to the chevrons contains hydrogen pressure. When light output diminishes indicating lower hydrogen availability, the quantity of water input determines production amounts with operators measuring how much material synthesized inside the sarcophagus chamber through predetermined volumes.

Greenyer connects the pyramid's design to universal principles through examination of the Eye of Providence symbol found throughout masonic architecture, which precisely depicts the pyramid's dual toroidal monopole configuration with emanating sphere. The structure represents the same configuration observable in astrophysics, historical technology and nature, validating sacred geometry principles as fundamental to matter manipulation and vacuum engineering. The design requires only minimal components: water, radioactive granite for ionization, limestone for resistance and sealing, magnetic field alignment north south and precise sacred geometry encoding all functions. Human civilizations could have discovered this technology through water vibration observation requiring no calculations only contemplation and experimentation. The pyramid provides multiple capabilities including element synthesis, unlimited energy production, waste disposal through matter disintegration, healing through energized oxygen generation and anti gravity applications all derivable from toroidal monopole vacuum engineering principles. Reconstructing operational capacity involves installing radioactive granite slabs within grand gallery slots, applying limestone exterior casing and sealing excavated holes to restore full function.

Principles of BioArchitecture & Natural Building
https://www.youtube.com/watch?v=HtJz7gmUwUI

Natural building design begins with material efficiency by selecting polycarbonate sheets in lengths that divide evenly into structure dimensions, avoiding waste. Using a scaling system where 2 centimeters on paper represents 1 meter in real life helps designers plan materials accurately. Windows angled at 90 degrees to admit winter sun create waterproofing challenges since water finds entry paths through angled surfaces. Circular windows provide superior structural strength but cost more than square alternatives and require custom cutting. Non-opening circular windows mounted with hose pipe reduce expenses substantially compared to openable frames, potentially reducing home construction costs by 50 times versus traditional building. This savings remains possible through careful material selection, with windows capturing winter sun while blocking summer sun through externally placed shade awnings rather than internal ones that allow heat absorption between the awning and glazing.

Skylights enable hot air escape through upward flow when designed with tilted pipe openings preventing rainwater entry. To determine proper window positioning relative to trees, a Cleenometer app calculates angles relative to the horizon, allowing designers to position homes so winter sun passes above deciduous trees while being blocked by evergreens in restricted zones. When selecting structural forms, dome and vault options offer distinct advantages. Domes provide self supporting double curvature requiring no internal pillars for clear span roofs while vaults feature single curvature with flat ceilings creating linear rooms with curved surfaces. Both methods enable quick construction using aerated bricks or sandbags. Jacques Fresco designs homes shaped to resist 500 kilometer per hour tornadoes, demonstrating how form follows environmental context. Multiple domes connected through tunnels require careful side view analysis to ensure adequate clearance above overlapping sections, with absesses functioning as side rooms designed for specific purposes like bedrooms.

Building quickly on land avoids travel costs to rental properties or mortgage debt through fractal design starting with one dome then expanding outward. Before construction, designers must identify underground water crossings and geopathic stress zones since these cause disease clustering in specific areas. Hartman lines run every 1.5 to 2 meters while Curry lines run diagonally every 2.7 to 3.5 meters, creating double crossing points particularly harmful near electrical devices. Biogeometry incorporates BG3 components including gold high harmonic, ultraviolet high harmonic and negative green horizontal carrier waves to create energetically balanced spaces supporting immune function. Designer Ibrahim Karim describes houses as the second interaction layer with the environment after skin, functioning as protective exchange mechanisms. Study findings documented 80 percent of cancer cases concentrated on 10 percent of living areas caused by harmful water crossings at specific angles.

Cross sections through building designs at multiple depths create 2D visualizations enabling builders to understand 3D forms. 3D modeling allows generation of professional blueprints for authorities while continuous development of new heating, cooling and water harvesting methods respects both innovation and ancient practices such as using complex pipe systems are being replaced with sandbag channels heated by compost beneath floors,

Unlocking the 1-3-7-12 Code: Kabbalah, Steiner & the Map of Human Energy
https://www.youtube.com/watch?v=JcrIGOqSWUI

Discover how an ancient Kabbalistic formula and Rudolf Steiner’s “spiritual science” converge to reveal the anchor points where Spirit meets the human body. This video breaks down the Sepher Yetzirah’s 3 Mothers, 7 Doubles, 12 Elementals, restores the hidden “1,” and shows how these numbers correspond to the Ego spark, the three Dan Tians, the seven planetary chakras, and the twelve zodiacal layers of the physical form.

What You’ll Learn
- The creative alphabet of the Sepher Yetzirah
- Rudolf Steiner’s completion of the pattern with the “I AM” core
- Head–Heart–Liver as Moon-Sun-Earth triad (Thinking | Feeling | Willing)
- Links to the Triple Secret mindfulness practice & the Three Elixir Fields (Dan Tians)
- How the 1-3-7-12 model guides conscious evolution and energy work

Video Chapters (Timestamps)
0:00 Intro & Overview
0:13 The Sepher Yetzirah’s 22-Letter Matrix
1:17 Rudolf Steiner – Who He Was & Why It Matters
1:49 Restoring the Hidden “1” – The Ego Anchor
2:55 The Three Astral Anchors (Dan Tians)
4:12 7 Preview of the Seven & Twelve Anchors
4:20 Closing & Practice Suggestions

The Pyradym
https://www.augustara.com/pyradym

https://www.youtube.com/watch?v=UN1tByNAYIg

Pyradym is a precision analogue sound instrument that stimulates and facilitates the body's innate self-healing mechanisms. It uses the ancient Chakra system as a tuning platform. The device generates up to three harmonically-rich tunable low frequency tones for each of the seven major Chakra centres, allowing practitioners to create bioResonant effects in humans, animals, plants, and living spaces. Sound and color therapy combine for pain relief and emotional or physical balancing. As a non-invasive, holistic approach to Chakra alignment, it serves health practitioners and individuals alike. An audiophile grade analogue waveform generator powers the device. It includes an internal 100-watt physioacoustic transducer with included headphones, synchronized light therapy system with automatic and manual modes, and preconfigured tonal or color alignments for each Chakra. The enclosure is constructed from hardwood with a hand-cut Brazilian crystal capstone.

Physioacoustics is the scientific method underlying Pyradym's function. It applies low frequency stimulation to the human body to obtain desired emotional or physical effects. Since ancient times, low frequency sound has been used in various forms to produce physiologic and psychological effects, from Tibetan monk chants to Gregorian chant to music of African tribes and Australian aborigines. Research in physioacoustics uses sound waves in the frequency range of 27 to 113 Hz. The FDA has approved it as a Class One medical technology, and it operates safely within all ISO standards. Light generating occurs beneath the crystal capstone through high-intensity light-emitting diodes that create a reactive light engine. This engine displays the full spectrum of visible light corresponding to the Chakra tone selected, known as chromotherapy. The Crystal Particle Fountain channels high-frequency energy through the Reiki power symbol and two custom-cut Brazilian and Madagascan Quartz crystals. Seven custom blended colors align to deliver healing energy to each Chakra. The device includes controls for selecting Chakra locations, tuning frequencies at standard A440, A432, or A424 tuning standards, and a step timer that automatically cycles through the seven Chakras plus mute at rates from 1 to 13 minutes per step. Three audio frequency generators offer selectable soft or hard tonal qualities. Soft tones generate hollow sounds reminiscent of oboe or bassoon while hard tones generate raspier sounds reminiscent of didgeridoo or throat singing. Pyradym requires 120 AC volts input at 60 Hz with maximum power requirement of 120 VA. It measures approximately 45.7cm by 45.7cm by 33cm, weighs 10 kg net, and features solid hard maple enclosure with three standard stain choices. A limited one-year parts and labour warranty applies, with one free factory calibration included.

I have personally experienced the Pyradym several times. You can feel it across the room. Piloerection flows through your body depending on the frequencies being sent out, even on silent. I spent a few nights with one and both times had certain subtle energy objects like BioGeometry strips and a Servranx electret near the capstone. Both times I noticed optical changes within the capstone within a few hours. First a star tetrahedral inclusion the size of a silver dollar emerged. Then the next time a reddish looking blob appeared. These were seemingly real time changes in the capstone itself. I have only experienced a few other technologies as potent as the Pyradym.

The Russian Cosmists The Esoteric Futurism of Nikolai Federov and his Followers | George M. Young

George M. Young's The Russian Cosmists examines Russian Cosmism emerging from Nikolai Fedorov's central doctrine of the Common Task. Fedorov (1829 to 1903) positioned active human responsibility for resurrecting the dead through scientific knowledge united with spiritual discipline. His concept of rodstvo, meaning kinship, linked individual consciousness to all matter in the cosmos with ancestral particles vibrating distinctive signatures enabling recognition during resurrection. Russian tradition shaped Cosmism through emphasis on the kingdom of God manifesting on earth, prioritization of action over contemplation, and Slavophile ideals of sobornost emphasizing communal wholeness. Pre-Cosmist forerunners including Vasily Karazin pioneered converting passive observation into active transformation through meteorurgy, transforming meteorology into practical weather control while Aleksander Sukhovo-Kobylin developed spiritual Darwinism proposing three evolutionary stages: telluric confined to earth, solar inhabiting the solar system, and sidereal inhabiting the entire universe with bodily reduction approaching divinity. The Cosmist synthesis proposes humanity direct its own evolution toward immortality, resurrects the dead and establishes conscious control over cosmic development through united intellectual and spiritual labor transcending death as the ultimate enemy binding all humanity toward collective perfection.

Scientific Cosmists including Konstantin Tsiolkovsky, Vladimir Vernadsky, and Alexander Chizhevsky applied rigorous scientific methodology to cosmic evolution establishing theoretical frameworks for understanding universal development. Tsiolkovsky calculated the first mathematical formulas for artificial satellite orbits and escape velocities enabling Soviet rocket science and space exploration. His formulas determined the velocity and fuel requirements needed for spacecraft to break Earth's gravitational field and achieve sustained orbits or interplanetary travel. Vernadsky developed the biosphere to noosphere transition theory describing how Earth's living matter exerts pressure on inert matter through constant particle exchanges and elemental cycling, creating emergent life. He established that life along with matter and energy constitutes an eternal cosmic constant ubiquitous throughout the universe functioning as a unified planetary organism. Chizhevsky studied solar activity patterns and cosmic ray influences on human behavior discovering that sunspot cycles coincide with historical periods of mass human excitability manifesting as wars, revolutions, and epidemic behaviors. Religious Cosmists including Vladimir Solovyov, Sergei Bulgakov, Pavel Florensky, and Nikolai Berdyaev integrated Orthodox mysticism with Western philosophy to articulate how spiritual disciplines and creative human activity participate in cosmic transformation. Bulgakov developed sophiological economics positioning Sophia as divine wisdom guiding material world transformation through human labor consuming and spiritualizing matter, essentially patrifying or personalizing the cosmos.

Contemporary Russian thought contains substantial transhumanist elements embedded within Cosmist frameworks. The Cosmist synthesis emphasizes unlimited human longevity extension toward practical immortality, creation of new life forms including new levels of humanity exceeding current biological limitations, and serious scientific exploration of matter traditionally considered only fit for esoteric investigation. Scientific Immortalism represents continued development of these principles while biocosmism proposes technological enhancement and human body reconfiguration matching Sukhovo-Kobylin's earlier vision of bodily reduction and transformation as humans evolve toward sidereal stages. Fedorov insisted technological advance requires simultaneous moral and spiritual development preventing catastrophe from independent scientific progress, directly anticipating contemporary transhumanist ethical concerns about uncontrolled enhancement.

Goethean Science: Bringing Chaos to Order by Looking Phenomena Right in the "I" |Tom Mellett
https://southerncrossreview.org/6/goethe.htm

Goethe's scientific methodology is distinct from Cartesian mechanistic science. His magnum opus Faust represents the metamorphosis of a single human being confronting chaos and complexity. Through Steiner's interpretation of Goethe's epistemology, organic science requires intuitive cognition rather than proof based methodology. Organic science begins from the cosmos as its whole and evolves specific forms from archetypal types through comparison. This operates through what Steiner terms anschauende Urteilskraft or intuitive judgment that perceives in thinking and thinks in perceiving. Inorganic science constructs systems toward universal totality. The mind must participate productively in creating content while dealing with form, making the organic type replace natural law as intuition replaces proof based judgment.

Contemporary chaos theory and zero point energy studies exemplify how Goethean principles apply to modern physics. Figures like Ilya Prigogine and Hal Puthoff demonstrate that order spontaneously emerges from and enfolds back into chaos. The universe operates approximately rather than exactly, with incompleteness built into all mathematical systems. Yet humans consistently create calculable order through this approximation. Goethe avoided Cartesian subject object dualism by positioning the scientific experiment as mediator and fulcrum between observer and observed. This grants equal ontological status to subjective and objective phenomena. His approach prefigured quantum observer created reality and rejected conceptually inferred phenomena like wave and particle aspects of light, insisting instead on direct perception. Humans function as conscious participants immanent in universal process rather than mere reflective thinkers.

Goethe’s Platonic Natural Philosophy: How Goethean Science Provides an Alternative Conception of the Cosmos | Seth P. Hart
https://www.mdpi.com/2077-1444/15/3/355

Goethe's scientific methodology emerges from metaphysical and theological commitments rooted in Platonism rather than the reductionist approaches of his era. Though celebrated primarily for his literary work, Goethe viewed his scientific research as his most enduring contribution, pioneering comparative morphology and contributing to anatomical discoveries. His scientific method derives fundamentally from rejection of purely quantitative, abstractive, and reductionist approaches. Instead Goethe affirmed a divine pattern through which nature is created, asserting that a higher idea stands behind every creature. He held that the material world represents a shadowy reflection of an eternal world of ideas, with all creatures penetrated by divine understanding and reason.

This Platonic framework positions the Urphänomen or primal phenomenon as offering a Platonic conception of natural beings. The Idea itself remains eternal and unitary, with everything humans perceive and articulate representing only manifestations of this Idea. Goethe's scientific paradigm unifies science, philosophy, theology, and ethics into a coherent whole, fundamentally rejecting the Cartesian dualism that separated objective investigation from subjective experience. His approach emphasizes direct observation of phenomena and recognition that the observer participates in nature rather than standing apart from it. This methodology bridges scientific endeavor and spiritual formation, establishing ethical and spiritual implications grounded in perceiving nature as a revelation of divine patterns. Consequently Goethe's framework maintains relevance for ecological ethics and human perception of nature, offering an alternative to reductionist scientific approaches and demonstrating how scientific practice can cultivate development of the human subject toward universal love.

“The senses do not deceive; it is the judgement that deceives.” - Johann Wolfgang von Goethe

“In so far as we make use of our healthy senses, the human being is the most powerful and exact scientific instrument possible. The greatest misfortune of modern physics is that it experiments have, as it were, been set a part from the the human being; physical refuses to recognise in Nature anything not shown by artificial instruments, and even uses this as a measure of its accomplishments.” - Johann Wolfgang von Goethe

Space & Counterspace through Projective Geometry

Renewing Spatial Concepts via Projective Geometry:
- https://cgunn3.blogspot.com/2017/11/projective-geometry-2017-context.html

Space & Counterspace (3 Parts):
- Part 1: https://cgunn3.blogspot.com/2020/10/space-and-counterspace-i.html
- Part 2: https://cgunn3.blogspot.com/2020/10/space-and-counterspace-ii.html
- Part 3: https://cgunn3.blogspot.com/2020/10/space-and-counter-space-i.html

Scientific thinking has achieved much in the inorganic realm yet faces visible limitations addressing global problems like climate change and social unrest. Its materialistic orientation treats matter as the underlying source of all phenomena. Quantum mechanics, however, dissolved matter from "stuff filling space" into abstract mathematical formulas. The concept of space itself remained fixed despite this transformation. Projective geometry emerged during the scientific revolution as a response to perspective painting phenomena, discovered by Desargues and receiving renewed emphasis around 1820. It offers potential to heal the spatial one sidedness afflicting modern consciousness by making our concept of space whole.

Rudolf Steiner identified projective geometry's healing role and emphasized developing negative space to balance ordinary Cartesian space. In his light course he claimed life phenomena required forces originating from space's periphery, acting planar from without. He termed these universal forces to distinguish them from classical physics' central forces. In his warmth course he described the solid state as corresponding to familiar objects filled with stuff while the gas state represented negative space obtained by turning standard space inside out. Fluid states balanced between them. He repeatedly stressed that expanding natural science concepts this way was essential for renewed social thinking. George Adams, Olive Whicher, Louis Locher Ernst, and Ernst Lehrs developed these ideas. Their work ended in the early 1960s. Progress since then has been modest despite consequences from one sided spatial thinking growing more severe.

Projective geometry works through duality. A dictionary of duality creates partner configurations and translates descriptions into dual partners. This extends to Euclidean geometry, producing the Euclidean plane and its partner, the dual Euclidean plane. A hexagonal pattern of colored dots shows this concretely. Each colored point in the central grid corresponds to a line of the same color in the outer figure. Translations fix an ideal point and move all other Euclidean points perpendicular to this fixed point. They generate corresponding dual translations that fix the dual ideal line. When a hexagonal pattern translates rightward and the ideal point moves beyond the grid boundary, the dual pattern shifts. It appears crowded and asymmetric, concentrated on the opposite side of the origin. The six boundary lines of the dual pattern form a hyperbola when viewed through Euclidean eyes. Yet they remain a circle when viewed through dual Euclidean eyes. The grid of lines stays rigidly connected as the hexagonal pattern translates.

Crystallographic patterns extend this duality through families of parallel lines with specific directions. A regular 2D crystal of rhombi extending from the origin exhibits three different directions or ideal points. The dual pattern reverses this relationship. All points now lie on one of three ideal lines passing through the origin. Parallel lines in the Euclidean pattern maintain uniform spacing through identical Euclidean steps. Corresponding dual points maintain equal spacing through dual Euclidean steps, approaching but never reaching the ideal point. X ray diffraction patterns of table salt arranged in a cubic lattice resemble the counterspace partner of 2D crystals in Euclidean geometry. George Adams explored whether x ray crystallography produces a counterspace lattice. Through Fourier transform analysis he concluded x ray crystallography implements transformations in ordinary space rather than counterspace. The mathematical parallels remain notable.

The field's advancement requires addressing an education challenge. Most participants lack sufficient grounding in projective geometry fundamentals to engage in research. Projective geometry is not typically taught in universities. This results in uneven preparation among self taught participants. Difficulty maintaining continuous thematic impulse in collaborative efforts follows from this. Proposed solutions include regular courses offered periodically throughout the year as online videos with integrated platforms for remote learning, discussion forums, and homework assignments. Major research themes needing development include establishing an overview of counterspace versions and applications, investigating Nick Thomas's counterspace work, exploring path curves and surfaces for counterspace connections, and understanding Fibonacci numbers and golden ratios in plant forms. George Adams' work on path curve surfaces for purifying moving water requires revival. Physics investigations should address the polarity of kinematics and dynamics. The question of whether quantum mechanics paradoxes disappear when counterspace integrates into mathematical foundations deserves exploration. Non locality might look different through geometric frameworks where planes are primitive entities. Astronomical themes including planetary orbits as circles in counterspace merit investigation. Dark matter hypotheses might be explained using levity forces based in counterspace pulling toward space's periphery. Goethe and mathematics connections suggest projective geometry provides the ideal spatial vocabulary for Goethe's method. This bridges mainstream and phenomenological approaches. The polarity of center and periphery requires concrete differentiation. Peripheral nature in environmental systems, DNA organization, and Rudolf Steiner's indication that human higher ego resides in periphery rather than bodily organization all need consideration.

Mechanics in Space & Counterspace
- https://pubs.aip.org/aip/jmp/article-abstract/41/10/6995/396130/Mechanics-in-space-and-counterspace

- Download the full article here: https://annas-archive.org/md5/46d2e7bb765c3bd540054bea8f25a77d

Oliver Conradt develops a formulation of classical mechanics using the completely dual approach to Clifford algebra. This embeds Lagrangian and Hamiltonian mechanics into the dual framework of space and counterspace. The projective split is enlarged by introducing a pictorial representation for the Pauli algebra. The Pauli algebra appears as phase space extended by time as a scalar and energy as a pseudoscalar. Positions are represented by pointlike vectors and momenta by planelike vectors. Phase space obtains new interpretation through this duality. Central mechanical concepts like phase space and symplectic metric gain geometric meaning, demonstrating that the framework works with classical mechanics' basic principles.

Lagrangian and Hamiltonian mechanics take shape through the dual framework where canonical momenta become bivectors in the Pauli algebra. The canonical momentum is defined through partial derivatives of the Lagrangian with respect to velocities. Examples including n body systems with potential forces, independent body motion, the harmonic oscillator, and Kepler motion show the approach's strength. For the harmonic oscillator, position trajectories and momentum trajectories divide the phase space curve. For the two dimensional harmonic oscillator, the end plane of the momentum planelike vector remains orthogonal to the velocity at each moment. This reveals a relationship between position and momentum trajectories that holds throughout the motion.

Canonical transformations in the dual framework preserve Hamiltonian equations' structure. Four different generating functions connect through Legendre transformations. Symplectic functions form the symplectic group preserving the skew symmetric symplectic metric. The metric's geometric meaning reveals the intercept theorem from elementary geometry. It shows the metric between a plane and a point as a distance such that the plane is incident with a multiple of the point and the point is incident with a multiple of the plane. Liouville's theorem asserts unit determinant for phase flow differential. It follows from symplectic preservation. Symplectic transformations preserve incidence between positions and momenta and symplectic distance between nonincident point plane pairs.