A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers

Figure 1

Schematic illustration of frames coming from frame 𝐹_{𝑗,𝑘,𝑔}. Each of the stage 𝑗+1 frames is based on quantum representations of real and complex numbers as equivalence classis of Cauchy sequences of qukit string states in 𝐹_{𝑗,𝑘,𝑔}. The distinct vertical lines in the 𝑘,𝑔 plane denote the discreteness of the integral values of 𝑘≥2. Only three of the infinitely many frames coming from 𝐹_{𝑗,𝑘,𝑔} are shown. Here 𝑘 denotes the qukit base and 𝑔 denotes a gauge or basis choice.