Formal Symbol Map
This page introduces FORMAL_SYMBOL_MAP as part of Ivan Pasev's public science and systems corpus. It explains the core thesis, its relation to adjacent frameworks, and the review route for readers who want to inspect the claim structure. Where the page presents proposed theory, publication scaffolding, or formalization targets, those claims remain bounded as authorial research pending external review.
SFR Kernel
[ \mathcal{SFR}(x) = (O, R, T, I, B, M) ]
| Symbol | Definition | Required Formal Work |
|---|---|---|
| (O) | observer context | define observer domain |
| (R) | relation-bearing structure | define relation object |
| (T) | admissible transformation | define transformation class |
| (I) | invariant | define preservation predicate |
| (B) | validity boundary | define boundary conditions |
| (M) | mapping layer | define source-to-domain map |
Fabricon Kernel
[ \mathcal{F} = (i, r, b, \tau, \iota) ]
| Symbol | Definition | Required Formal Work |
|---|---|---|
| (i) | identity marker | define identity equivalence |
| (r) | relation set | define admissible relations |
| (b) | boundary condition | define boundary predicate |
| (\tau) | transformation class | disambiguate from Ramanujan tau |
| (\iota) | invariant | define preservation rule |
DFT Kernel
[ \mathcal{DFT} = (\mathcal{SFR}_{grammar}, I_d, E_d, G_d, P_d, X_d, R_d) ]
| Symbol | Definition | Required Formal Work |
|---|---|---|
| (\mathcal{SFR}_{grammar}) | source scientific grammar | define translation relation |
| (I_d) | identity fabric | implementation model |
| (E_d) | evidence fabric | provenance/evidence model |
| (G_d) | governance fabric | governance constraints |
| (P_d) | provenance fabric | public record model |
| (X_d) | interoperability fabric | protocol boundary |
| (R_d) | runtime boundary | execution limits |