The theory experiment connection: Rn space and inflationary cosmology

Paul Benioff

doi:10.1117/12.620296

1 June 2005 The theory experiment connection: Rn space and inflationary cosmology

Paul Benioff

Proceedings Volume 5833, Quantum Informatics 2004; (2005) https://doi.org/10.1117/12.620296
Event: 18th International Conference on Photoelectronics and Night Vision Devices and Quantum Informatics 2004, 2004, Moscow, Russian Federation

Abstract

Based on a discussion of the theory experiment connection it is proposed to tighten the connection by replacing the real and complex number basis of physical theories by sets R_n, C_n of length m finite binary string numbers. Here n=n(t) will be cosmological time dependent. The form of the numbers in R_n is based on the infinite hierarchy of 2n figure outputs from measurements of any physical quantity with an infinite range (distance energy etc.). A space and time based on these numbers is described. It corresponds to an infinite sequence of spherical scale sections R_n,e(e an integer). Each section has the same number of points but the size increases exponentially with increasing e. The sections converge towards an origin which is a space singularity. Iteration of a basic order preserving transformation, F< or its inverse shows exponential expansion or contraction of the space with the origin as a source or sink of space points. The suitability of R_n space as a framework for inflationary cosmology is based on a constant iteration rate for F< and time dependent scale factors e and N=n(t). The time dependences restrict all space initially to a region of scale sections R_no,e with n_o (small) and e≤e_o (negative). Inflation which occurs naturally is stopped at a time when all points in the outermost Δ scale sections are expanding away from the origin at velocities >c. Then n increases to n_I > n_o where n_I is such that the outermost Δ scale sections of R_no space are contained in the scale section R_nI,o of R_nI space. This is needed if R_nI,o space is to be similar to the usual R space. Hubble expansion and the redshift are accounted for by a continuing slow increase in n. Comparison with experimental data suggests that the rate of increase must be at least one n unit every 30-60 million years.

Citation Download Citation

Paul Benioff "The theory experiment connection: Rn space and inflationary cosmology", Proc. SPIE 5833, Quantum Informatics 2004, (1 June 2005); https://doi.org/10.1117/12.620296

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