The foundation of bacterial cell cycle studies has long resided in two interconnected dogmas between 18 biomass growth, DNA replication, and cell division during exponential growth: the SMK growth law 19 that relates cell mass (a measure of cell size) to growth rate 1 , and Donachie's hypothesis of a growth-20 rate-independent initiation mass 2 . These dogmas have spurred many efforts to understand their 21 molecular bases and physiological consequences 3-12 . Most of these studies focused on fast-growing 22 cells, with doubling times shorter than 60 min. Here, we systematically studied the cell cycle of E. coli 23 for a broad range of doubling times (24 min to over 10 hr), with particular attention on steady-state 24 growth. Surprisingly, we observed that neither dogma held across the range of growth rates examined. 25In their stead, a new linear relation unifying the slow-and fast-growth regimes was revealed between 26 the cell mass and the number of cell divisions it takes to replicate and segregate a newly initiated pair 27 of replication origins. This and other findings in this study suggest a single-cell division model, which 28 not only reproduces the bulk relations observed but also recapitulates the adder phenomenon 29 established recently for stochastically dividing cells 13-15 . These results allowed us to develop 30 quantitative insight into the bacterial cell cycle, providing a firm new foundation for the study of 31 bacterial growth physiology. 32 A fundamental notion in the quantitative study of bacterial physiology is steady state growth 16,17 , where 33the rate of total cell mass growth ( " ) is identical to the rate of cell number growth ( # ). To cover both 34 the slow-and fast-growth regimes, we cultured E. coli K12 MG1655 cells in 32 different growth media 35 with corresponding growth rates ranging from 0.06 to 1.7 h -1 (doubling times ranging from ~700 min to 36 24 min; see Extended Data Table 1). Special care was taken to ensure that all experimental cultures in 37this study lie on the steady-state line " = # , hereafter designated as ; see Extended Data Fig. 1. 38The SMK growth law 1 , long-accepted in the fast-growth regime, states that the population-averaged 39 cellular mass ( ) scales exponentially with growth rate, ~ )* , with a constant parameter ≈ 1 ℎ. 40We examined several measures of , including dry weight, optical density (OD), and cell size (by flow 41 cytometry and microscopic imaging) (Supplementary Methods). For each measure, we found the SMK 42 law to break down for growth rates below 0.7 h -1 ( Fig. 1a-d). Our OD data appear in good agreement 43 with that obtained by Schaechter et al. 1 (green squares in Fig. 1e) for the mostly fast growth rates they 44analyzed, even though they studied a Salmonella strain. We also extracted cell size data from recent 45 studies by Si et al. 3 and Gray et al. 18 , and found their data to be consistent with ours (blue and red symbols, 46 Fig. 1f). Aside from the average cell size, even the size distributions appear to be indistinguishable ...