Formatics: Applying Gestalt Science

Concepts
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InformationScience,Mathematics,PhysicalScience,Evolution:InvolutionandEnvolution

Key Specific Concepts

Mathematical/Informational

Sporadic Groups
Supersingular Primes
Hurwitz, Galois, and BN Pair.
Milnor Exotic Sphere
Moufang and Bol Loops (Diassociative)
Finite Simple Groups
Lie Groups and Moufang Polygons
Nash Embedding
Homeomorphic Reduced Trees
Milnor Numbers*
Mension metrics*
Elkies formulas
Fano Plane
Leech Lattice
Regular Polyhedra, Johnson Solids, Stellated Polyhedra
Dehn invariants
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Information and Mathematical Science

Replication & Dissipation*
Two’s complement, Noether Rings*
Operator modification*
Encoding and Decoding
Fixed point transforms*
Petri Nets
Moore Machines
Mealy Machines
Hamming Codes
Golay Codes
Bareiss
Buffering

Physical Sciences and Evolution

Envolution and Involution*
Taylor Series Cutoff ala Robert Rosen
Fine structure constant
Jahn-Teller effect
Aharonov–Bohm effect
The digital Hamiltonian*
The digital Lagrangian*
The digital Laplacian*
Lorentzian
EM
Chebyshev polynomials & Complex Plane
Poles and Zeros
Landau regularization
Plancks and C

Comparative and Integrative Concepts

Comparative Concepts

Finite versus Infinite
Real and the UnReal
Information Symmetry versus Physical Symmetry
Fixed points versus Automorphisms
Preorder, Partial Order, Lattice, Fields
Discrete versus the Continuous
Normed Division Algebras versus Lie Algebras
Hidden Order versus Visible Disorder
Sporadics versus Tensors
Bosons versus Fermions (Dirac, Majorana, Weyl)

Integrative Concepts

Geometrical Information: Symmetry, Antisymmetry, Asymmetry, Axisymmetry, Gyrosymmetry*
Information Mixing and Density: In-formation, Into-formation, Meso-formation, Ex-formation, Endo-formation*
Algebraic Structures: Magmas, Semigroups, Quasigroups, Monoids, Loops, Inverse Semigroups, Moufang Loops.
Group Theory: Abelian, Direct Product, Semi Direct, Frobenius, Non-Abelian Groups.
Formatics: Mathematical Logic, Information Chemistry, Foundations of Computing, Chaos Theory*
Envolution and Involution: Darwinian-Margulian evolution, Rosen’s Modeling Relation, Origins of Life.