The Projective Temple
These pieces, below, are the first I’ve seen to denote how others considered that projective means, from a single/central form, would be used by Solomon (and perhaps other ancient temple-builders).
This author takes the liberty to assume the ‘central projective form’ was a cubic structure, connected to the tree of life and star-of-david / vesica progenitors.
I find the language of ‘light/shadow’ (lucis/umbra) to speak of gradations of light/rainbow, and the counterpart shadow — and that these are parable, for refined and unrefined matter. Consider how the same could be seen via those stones which pass light – or refract, absorb, or block it. The absorption of light may then relate to the Kmer/black of the Nile, Nuit and thus fertility –> Womanhood; and the masculine thus transmitting the light that impregnates. Just shooting from the hip…
Working out the male/female vesica in projective illuminations [from atop a pillar] seems to not be any great leap of the imagination.
“Anthanasius Kircher (1601–1680) was a Jesuit scholar & polymath employed by the Collegio Romano whose breadth of inquiry spawned a host of books on topics ranging across fields diverse as magnetism, linguistics, optics, music, mathematics & geology. A ‘pioneer’ in the attempt to reconstruct the lost art of reading Egyptian hieroglyphics, he compiled his 20 years’ research drawing from Chaldean astrology, Pythagorean mathematics, Greek & Latin mythology, alchemy, and the Hebrew Kabbalah into the 4-folio volume, Oedipus Aegypticus (c. 1652-4).
Providing one of the earliest renditions of the Tree of Life exhibiting the structure & symmetry of a projection, Kircher elaborated upon an earlier version of the diagram provided by a Christian convert from Judaism, Phillipe d’Aquin (1625), by designating which of the 22 letters corresponded to each of the pathways interconnecting its’ 10 sefirot.
Kircher had already written one of earliest accounts on projecting images in his Ars Magna Lucis et Umbrae (“The Great Art of Light and Shadow”, 1646) wherein he suggested such methods were used by the priesthood of Solomon’s Temple and warns against their unscrupulous abuse. As all that’s required to project the 3-d skeleton of a cube (or of any solid) is enough light to cast its shadow upon a 2-d plane, the technology for obtaining such a matrix was well within the reach of ancient geometers.”
Quoted from here. The full original of this work of Ars Magna Lucis et Umbrae is hosted here. Most printed plates from the book can be found [semi-strewn] amid this photostream.
§Projective Form
2024-10-25
a new phase of matter. Entangled. Linked matter, no-thinking. Entanglement, and perkovosike-class materials.
Column of water. Vortex pillar. All pillars, the same vortex, the same gravity. Boaz and Yachim, projected around a central void.
One pillar, many pillars. A higher dimensional center. Spanning the globe.
§The Frustum of Time
2025-02-01
Time Crystals which are a Cayley Graph of quasi-crystals, and Rivers of Time anchored around them, formed from the quantized entropy in the mereotopological field.
https://youtu.be/mKDVKBIHAOY?si=PK_z1ST1o6CVwzza
https://arxiv.org/abs/2004.11569
https://arxiv.org/abs/2311.01951
https://arxiv.org/abs/2308.06669
https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence
§Latent Space Time Language
If we describe specific maths needed to capture these structures in LLM latent space, then we can design an attentional head system for doing so. Designing an attentional head system to capture these complex structures would involve several advanced mathematical concepts:
§Multi-scale Representation (Fractals/Hierarchies)
The video highlights “clocks within clocks” (0:52) and “fractal time crystals” (5:15). To capture this, you’d need wavelet transforms or multi-scale convolutional neural networks (M-CNNs). Wavelets can decompose signals into different frequency components, naturally representing hierarchical information. M-CNNs use filters of varying sizes to capture patterns at different scales.
§Periodic and Oscillatory Patterns (Time Crystals)
The “triplet of triplets” (21:09) and other resonant frequencies suggest the need for Fourier analysis or recurrent neural networks (RNNs) like LSTMs or GRUs, possibly with attention mechanisms designed for periodicity. Spectral graph theory could also be used if representing the oscillations as dynamic graphs.
§Topological and Geometric Structures
The video mentions “topological patterns” (5:40) and “Fibonacci geometry” (13:08) in microtubules. Topological Data Analysis (TDA), specifically Persistent Homology, could extract robust, multi-scale topological features (e.g., loops, connected components) from the latent space, representing underlying structural coherence. Geometric deep learning methods (e.g., graph neural networks) could represent tubulin arrangements and their dynamic interactions.
§Quantum-inspired/Consciousness Models
For concepts like “quantum coherence” and “entanglement” (44:37), tensor networks or quantum-inspired neural networks might be explored. This is highly speculative, but frameworks like quantum logic gates or density matrices could be adapted to model information states and their interactions in a way that goes beyond classical bits.
For an attentional head, we will consider:
- Specific frequency bands in the latent space (e.g., using frequency-domain attention).
- Multi-scale features derived from wavelet decompositions of the latent representations.
- Topological invariants that capture the global structure of activation patterns over time.
