Arithmetic of plane Cremona transformations and the dimensions of transfinite heterotic string space-time
نویسنده
چکیده
It is shown that the two sequences of characteristic dimensions of transfinite heterotic string space-time found by El Naschie can be remarkably well accounted for in terms of the arithmetic of self-conjugate homaloidal nets of plane algebraic curves of orders 3 to 20. A firm algebraic geometrical justification is thus given not only for all the relevant dimensions of the classical theory, but also for other two dimensions proposed by El Naschie, viz. the inverse of quantum gravity coupling constant (≃ 42.36067977) and that of (one half of) fine structure constant (≃ 68.54101967). A non-trivial coupling between the two El Naschie sequences is also revealed.
منابع مشابه
A further note on a formal relationship between the arithmetic of homaloidal nets and the dimensions of transfinite space-time
A sequence of integers generated by the number of conjugated pairs of homaloidal nets of plane algebraic curves of even order is found to provide an exact integer-valued match for El Naschie’s primordial set of fractal dimensions characterizing transfinite heterotic string space-time.
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