Specification
The canonically adopted formal mathematical structure through which BitPangea’s Foundational Survey Fabric works.
The Foundational Survey Fabric Specification is the formal mathematical layer beneath implementation. It translates the accepted Requirements into exact definitions for domain, frame, measurement, addressing, precision, geometry, operations, serialization, and computability.
FSF-SPEC-1.0 is the canonically adopted Foundational Survey Fabric Specification. It establishes the current production mathematical baseline for exact coordinates, canonical frame and origin, Survey Domain, core polygonal geometry, exact predicates, normalization, machine serialization, precision/refinement semantics, and governed production placement.
Adoption does not imply that every conceivable future geometric or measurement capability belongs to the current production profile. Broader Boolean / composite-result closure and other extended capability remain reserved unless later introduced through governed Specification evolution.
Specification Question Precisely how does the Foundational Survey Fabric work?
Specification Structure
Survey Domain and Ground Model
Defines the finite canonical Survey Domain, two-dimensional planar ground model, exact Domain validity, connectedness, and the distinction between reference capacity and World-space. The adopted Domain is D = [-1,000,000,+1,000,000]² Pang.
Domain · Ground · Limits · Connectedness →Canonical Frame and Measurement
Defines Pang, square Pang, exact coordinates, canonical directions, origin, global frame, handedness, positive rotation, area, and measurement obligations for the adopted production profile. Extended measurement capability outside that profile remains separately governed.
Frame · Pang · Orientation · Measure →Canonical Addressing and Precision
Defines exact canonical Point meaning, CRPC-based reference, ECEM precision extension, normalization, and compatibility without parent/child or coarse/fine Point semantics. Canonical mathematical meaning remains independent of any optional public-facing address notation.
Addressing · Precision · Extension · Normalization →Spatial Expressions and Geometry
Defines the adopted Point / Segment / SCPE core, exact boundaries, predicates, polygon validity, connectedness, containment, normalization, and geometric equivalence. Unrestricted composite-result geometry remains outside the current production profile.
Positions · Extents · Geometry · Predicates →Canonical Operations
Defines exact comparison, ordering, normalization, validity, precision conversion, conflict detection, and the operation-output discipline. Unrestricted union / intersection / difference result closure is not part of the adopted production profile unless explicitly specified.
Operations · Comparison · Composition · Conversion →Serialization and Specification Identity
Defines FSF-CJSON-1.0 as the canonical machine serialization, together with deterministic encoding, Specification identity, versioning, compatibility, and preservation of one mathematical truth across durable forms.
Serialization · Identity · Versioning · Interchange →Computability Rules
Defines finite exact representation, deterministic validation, normalization, termination, authoritative output, implementation independence, and the boundary between adopted production capability and reserved capability.
Exactness · Termination · Validity · Authority →Together, these seven sections form the adopted FSF-SPEC-1.0 production Specification. The Requirements remain the governing envelope; the incorporated Formal Mathematical Decisions provide the exact mathematical basis for the adopted profile.
The adopted Survey Domain is D = [-1,000,000,+1,000,000]² Pang, with governed half-span H = 1,000,000 Pang. The governed production placement envelope is P = [-500,000,+500,000]² Pang, preserving the relationship World-space ⊂ interior(P) ⊂ interior(D).
FSF-CJSON-1.0 is the canonical machine serialization. Compatible Specification evolution follows FSF-SPEC-MAJOR.MINOR: compatible changes preserve canonical place, while incompatible transitions require a new major version and separate governance. Broader capability outside the adopted production profile remains reserved rather than silently inferred.
Canonical Specification Standing
FSF-SPEC-1.0 is canonically adopted. Requirements remain authoritative over what the Specification must satisfy; Conformance proves implementations against the Specification; Reference Vectors demonstrate expected Specification behavior. Neither Conformance nor Reference Vectors may create missing mathematics.
Specification Identity Principle Version the standard. Do not version the place.
Architectural Sequence Requirements establishes what must be satisfied. Specification defines the mathematics that satisfies it.
Specification Boundary Define the foundational mathematics completely. Do not use the Specification to design the higher Architecture domains that depend upon it.