Independent reconstruction of the one-bit history metric, exact resolution of the Σ̇ = ln 2 versus Σ̇ ≈ 0.185 discrepancy, and a corrected source-admission protocol.
This paper addresses what initially looked like a serious problem in the VERSF programme. An earlier calculation said that a fundamental one-bit event produces an entropy increase of ln 2, while a later independent reconstruction produced a much smaller value of about 0.185 using the same numerical parameter. That appeared to suggest that one of the calculations must be wrong. The paper shows that this is not the case: both results are correct, but they were calculated using two different ways of defining the underlying “clock.”
A useful analogy is to imagine measuring a journey in two different ways. One person records the distance travelled each time a complete step is taken, while another records the speed travelled per second. Those figures will not normally be the same, even though they describe the same journey. In the VERSF calculation, one model measures entropy produced per completed discrete event, while the other measures entropy production continuously per unit of proto-time. Once this distinction is made explicit, the apparent contradiction disappears.
The paper goes further than simply explaining the difference. The original calculation was rerun from a clean starting point, and its central mathematical objects were independently reconstructed. The results agreed with the archived calculation to around fifteen decimal places, showing that the original branch is internally reproducible. The alternative 0.185 result was also reproduced exactly under its own continuous-time convention. The lesson is that a numerical parameter cannot be understood in isolation: it must always be stated together with the clock rule, the meaning of the parameter and the unit being measured.
The audit also identifies an important distinction between a file being authentic and it being current. A cryptographic hash can confirm that a file has not changed, but it cannot prove that the file is still the latest approved version. One historical package contained a correctly preserved but superseded source, as well as one mismatched image file. The paper therefore introduces a clearer protocol separating file integrity, source-version currency, numerical reproducibility and physical validity.
The main achievement is therefore a genuine repair of the VERSF calculation chain. The discrepancy between ln 2 and 0.185 is no longer an unexplained numerical failure. It is now understood as the predictable result of comparing two different clock conventions. However, the deeper physical question remains open: VERSF must still derive which clock convention nature actually selects, how its parameter should be normalised, and how the abstract proto-time of the model connects to physical time and energy.