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

Figure 2

Stage 𝑗 and stage 𝑗−1 images of one-dimensional space and time lattices. Lattice points are indicated by intersections of lines in the two-dimensional grid. In 𝐿_{𝑗,𝑘,𝐿,𝑚} the points 𝑝_𝑗 consist of pairs of rational numbers. In 𝐿^𝑗−1_{𝑗,𝑘,𝐿,𝑚} the image points 𝑝_𝑗^𝑗−1 consist of pairs 𝑆^𝑥_{𝑗−1,𝑘,𝐿,𝑚},𝑆^𝑡_{𝑗−1,𝑘,𝐿,𝑚} of hybrid systems with point locations given by the states of the system pairs. Nonrelativistic world paths of a stage 𝑗 physical system 𝑏_𝑗 and of its stage 𝑗−1 image 𝑏_𝑗^𝑗−1 are shown as solid lines. Note that 𝑏 can also be a hybrid system.

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