K501 - INFORMATION SPACE : AXIOMATIC SPECIFICATION (HEADER-INTEGRATED)

DECLARATION SPECIFICATION STATE INFORMATION_SPACE TIME ANCHOR Unix Epoch: 1774559415 Time (UTC): 2026-03-26T21:10:15Z Time (Europe/Berlin): 2026-03-26T22:10:15+01:00 AUTHOR iinkognit0@K501 SOURCE https://iinkognit0.de/ ORCID https://orcid.org/0009-0005-5125-9711 PROTOCOL MATHEMATICAL_HARMONIZATION MODE DETERMINISTIC_LOGIC_ONLY STATUS LOCKED I. GLOBAL DEFINITION Let 𝔹 = {0,1}. K501 is defined as: 𝓚 = (S, F, H_d, Q, J, H, Γ, N, C, I, P, E, V) II. STATE SPACE S ⊆ 𝔹* S = { x | x = (H_d, B) } III. HEADER SPACE H_d = ( declaration, state, time_anchor, author, source, protocol, mode, status ) Constraints: total order fixed all fields mandatory no permutation allowed IV. BODY SPACE B ∈ 𝔹* For frames: B_f = (Q’_f, p_f) V. CANONICAL SERIALIZATION J: S → 𝔹* J(x) = J(H_d ⊕ B) Constraints: ⊕ is ordered concatenation header precedes body encoding is canonical and deterministic VI. SERIALIZATION AXIOM ∀x, y ∈ S: (x ≅ y) ⇔ J(x) = J(y) VII. HASH FUNCTION H: 𝔹* → 𝔹²⁵⁶ Properties: deterministic pr