2024-W36 › 🔗 › 2024-09-07 [2024-09-07]
✍️source

September 2, 2024

#shader
- Skim through Projective geometric algebra illuminated[lengyel2024foundations]
- experiments on compute shaders

References

Reference. Projective geometric algebra illuminated [lengyel2024foundations]

2024
Eric Lengyel

@book{lengyel2024foundations,
 title = {Projective Geometric Algebra Illuminated},
 author = {Lengyel, Eric},
 year = {2024},
 publisher = {Terathon Software LLC}
}

Context

2024-W36 › 🔗 [2024-W36-links]

September 2, 2024

2024-09-08 [2024-09-08]

September 2, 2024

#gpu #render #web #z3
- mark candidates for rendering PDB: some links for viewing protein or molecules
- fail to run Z3 in browser (due to `SharedArrayBuffer` again)
- the source of examples of uwal and the corresponding articles at webgpufundamentals.org
- test compute.toys and test 3D Bifurcation Diagram

2024-09-07 [2024-09-07]
✍️source

September 2, 2024

#shader
- Skim through Projective geometric algebra illuminated[lengyel2024foundations]
- experiments on compute shaders

2024-09-06 [2024-09-06]

September 2, 2024

#idea
- Polish Notes on Clifford Algebras
- Some more on Translation of Bourbaki on Clifford algebras
- Re-skim Clifford and the ’square root’ ideas[trautman1997clifford]
- The algebra of grand unified theories[baez2010algebra] and make 97 notes
- Notes on Distributed Systems for Young Bloods (2013)

2024-09-05 [2024-09-05]

September 2, 2024

#formal #lean #sec #✍️
Ported the rest of the prelimilary part of the Blueprint, pinned archive to Notes on Clifford Algebras, except \(Z_2\)-graded derivations \(i_f\), anti-derivation
Make a start on Notes on group algebras

2024-09-04 [2024-09-04]

September 2, 2024

#citation #idea #os
- The supergeometric algebra[hamilton2023supergeometric] and Unification of the four forces in the spin (11, 1) geometric algebra[hamilton2023unification]: illuminating path towards a unified theory of four fundamental forces, the first theory seemingly capable of reaching the same level of elegance and simplicity as A discrete model for gell-mann matrices[wilson2024discrete], the authors are also aware of potential issues and worked out viable solutions to address them. Unfortunately, there are no citations as of now.
  - Clifford and the ’square root’ ideas[trautman1997clifford] has certain historical remarks and a unusual approach that spinor representations are treated first for odd-dimensional spaces
spaces
- Geometry of lightning self-attention: Identifiability and dimension[henry2024geometry] (found on Mar 11, 2025 again)
- The tensor cookbook[ahle2024tensor] and Graphical tensor notation for interpretability
- The Calculus of Variations and Geometry: a Historical Perspective
- Data-driven linearization of dynamical systems
- Meta Flow Matching: Integrating Vector Fields on the Wasserstein Manifold

2024-09-03 [2024-09-03]

September 2, 2024

#cg #formal #physics #sci #sec
- [grassmann2000extension, ch. 1-4]
- [browne2012grassmann, sec. 1.1-2.8]
- The universe is not a lie, but actually an hopf, algebra[loret2024universe]
- some slides of AGACSE 2024
  - The Willing Kingdon Clifford Algebra Library
  - Look, Ma, No Matrices!
  - Spacetime Algebra and Octonions: Links with the groups used in particle physics and computer graphics
  - Construction of Exceptional Lie Algebra G2 and Non-Associative Algebras using Clifford Algebra
  - On Multidimensional Dirac-Hestenes Equation
  - On Rank of Multivectors in Geometric Algebra
  - From Null Monomials to Versors in Conformal Geometry
  - Look, Ma, No Trigonometry!
  - Dual Spaces are Real: Orientation Types in Geometric Algebras
  - On Generalized Degenerate Lipschitz and Spin Groups
  - Projective and Conformal Formulations of Electromagnetism
  - Representation and Gauge Freedom in Electromagnetism and Acoustics
  - Pencils and set operators in 3D CGA
  - Factorizations of the Conformal Villarceau Motion