**Authors:** Luis sancho

We divide the study of Non-Euclidean, Non-Aristotelian 5D Mathematics in 3 parts, Space Geometry, Scalar Algebra & a brief introduction to the foundations of Time calculus.
Logic and math are the 2 entangled stiences of spacetime laws. As such in a Universe made of space-time beings, contrary to belief they are the most experimental of all stiences. Mathematics is the main science of vital, scalar Space (represented by spatial points and scalar numbers), in mirror symmetry with the less developed Time focused science of Â¡ logic that analyzes the 5 Time dimotions of reality, as humans use only 1 time arrow -entropy- but 'God the seer of time is of a logic higher than man's' Augustine.
We dedicate 2 papers to maths main 2 subfields, S@-Geometry & âˆ†T-Algebra.
In this one we upgrade NÂº theory & geometry to show mathematics as a logic mirror of the Universe's pentalogic scalar structure made with scalar numbers, Non-E fractal points with inner dimensions and timespace S<â‰ˆ>T operands that reflect the dynamic symmetries & stÅ“ps of its 5 spacetime dimotions. Ã†nthropic men instead justify math with an ego-trip of digital creationism: Only he & God speak the language, math, that creates reality -not the other way around, and try to prove its truths with an incomplete (GÃ¶del) axiomatic method, as an ideal, perfect absolute 'truth' with NO correspondence with reality (sets as 'imagined' units of math). We shall do the opposite: departing from reality we construct a vital improved mirror of maths, where even the perceived irregularities of mathematics are experimental true symmetries of a vital dynamic Universe: i.e. irrational numbers are required NOT to close a vital pi-cycle and âˆš2 triangle to allow openings into its lower decimal scales to absorb energy and information. So we shouldn't force 'idealist continuity' in a discontinuous Universe. i.e. 3 topologic geometries with motion suffice to mirror the 3 St, sT, ST combinations of an organism because we ARE spacetime'. i.e. numbers are indistinguishable social groups (polytopes) because 5D is 'social'; its Prime, T>S + odd, S

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