geometric product
From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-06-06.)
geometric product has 10 facts recorded in Dontopedia across 5 references, with 2 live disagreements.
Mostly:comprises(2), decomposes into(2), defined by formula(1)
Maturity scale
raw canonical shape-checked rule-derived certifiedInbound mentions (9)
Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.
involvesInvolves(2)
- From Bivector
ex:from-bivector - Per Site Operation Count
ex:per-site-operation-count
builtFromFundamentalOperationBuilt From Fundamental Operation(1)
- Geometric Algebra
ex:geometric-algebra
couplingFixedByCoupling Fixed by(1)
- Core Equation
ex:core-equation
firstMentionedFirst Mentioned(1)
- Hermann Grassmann
ex:hermann-grassmann
fixedByFixed by(1)
- Commutator Coupling
ex:commutator-coupling
nonCommutativeUnderNon Commutative Under(1)
- Bivectors
ex:bivectors
underUnder(1)
- Non Commutativity of Bivectors
ex:non-commutativity-of-bivectors
usesOperationUses Operation(1)
- From Bivector
ex:from-bivector
Other facts (9)
The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.
| Predicate | Value | Ref |
|---|---|---|
| Comprises | Exterior Product | [1] |
| Comprises | Inner Product | [1] |
| Decomposes Into | Exterior Product | [1] |
| Decomposes Into | Inner Product | [1] |
| Defined by Formula | ab = a·b + a∧b | [1] |
| Fundamental Operation | true | [2] |
| Leverages Sparse Table | Cl 3 0 Cayley | [3] |
| Uses | Sparse Cl 3 0 Cayley Table | [3] |
| Rdf:type | Operation | [5] |
Timeline
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References (5)
ctx:genes/lisa-watts/research-clifford-algebractx:discord/blah/watt-activation/part-507ctx:discord/blah/watt-activation/part-669ctx:discord/blah/watt-activation/499- full textwatt-activation-499text/plain3 KB
doc:agent/watt-activation-499/5c26ecb7-9267-46fb-aab1-c51c0045e40bShow excerpt
[2026-03-22 18:11] lisamegawatts: lol i think its barely tea time claude, write it up [2026-03-22 18:11] xenonfun: it only knows this session was started 24hrs or more ago [2026-03-22 18:12] lisamegawatts: ah its bivectors do not respect th…
ctx:discord/blah/watt-activation/514- full textwatt-activation-514text/plain3 KB
doc:agent/watt-activation-514/46cc886e-9934-4b59-8ad6-9f06b60f5f4eShow excerpt
[2026-03-22 22:09] xenonfun: ⏺ Pushed to master (f3ce359). 967 tests pass. Summary ## Implemented the paper's complete framework in bivector_field.rs (1,673 lines, 32 tests): ``` Core equation: ∂_t F = v²∇²F + [F, ∇F] — the universal…
See also
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