Two pre-registrations from UIFT: the exponential-quintessence slope λ = √3/2, and a single-electron Penning-trap test of information-mass with both frameworks' predictions stated in advance
Year: 2026
Type: preprint
Abstract: A timestamped prediction for the slope of an exponential quintessence potential, made before any Roman Space Telescope cosmology data exist. Roman launched 30 August 2026; the registration proper was written 3 September and revised 23 September 2026. THE REGISTERED PREDICTION. lambda = 0.8660 (sqrt3/2), equivalently w0 = -0.8876 at Omega_DE0 = 0.6835 (w0 = -0.8873 +/- 0.0065 over the Planck-allowed range of Omega_DE0); in the CPL basis (w0, wa) = (-0.8924, -0.1509); with the full w(z) curve for 0 <= z <= 3 in table D of the CSV. The falsification criteria are fixed in sections 2 and 2.3 of the main document and are symmetric: |lambda_hat - 0.8660|/sigma >= 3 refutes, regardless of sign. A measurement consistent with LCDM refutes the prediction; so does lambda = 0.60. STATUS NOTICE ADDED 26 SEPTEMBER 2026, AND IT IS THE REASON THIS DEPOSIT READS AS IT DOES. The derivation that produces the registered number is no longer claimed as a cosmological equation of state. Three findings recorded in the companion archive bear on it. (1) The chain uses E = E0 N^alpha with alpha = D/(D+1) from Banavar, Maritan and Rinaldo (1999); their theorem concerns a transport COST, and attaching its exponent to an ENERGY is a separate step the framework has never argued. Two other readings of the same theorem give w = -4/3 and w = -1, the latter being exactly a cosmological constant. (2) The bit law N ~ V is measured false as a law: the framework's own pre-registered definition of a committed bit, applied to a simulated cosmic web, gives s = 0.396 today rather than 1, and s is a declining history that passes through 1 at z = 0.541 and cannot hold asymptotically. (3) lambda is fixed here from the ASYMPTOTIC value of w; with s measured as a history there is no asymptote, and rho_DE is undefined before the first bit commits. WHAT IS THEREFORE REGISTERED. lambda = 0.8660 and w0 = -0.8876 are registered as the prediction of a specific, fully stated construction - E = E0 N^(3/4) with N proportional to V and the thawing scalar-field solution. That construction's provenance and its falsification criteria are fixed and timestamped by this deposit, and Roman and LSST will test them. They are NOT presented as derived consequences of the framework, because two of the three links in the derivation have since failed the framework's own tests. Nothing in the registered document has been altered; the numbers stand as registered, and the notice sits above them. SEPARATELY, AND IN THE FRAMEWORK'S FAVOUR. The MAGNITUDE of the dark-energy density, rho_DE = E0 N_h^alpha / V_H with E0 the Landauer energy at T_CMB and N_h the Bekenstein-Hawking capacity of the Hubble sphere, is reproduced to within a factor 1.2 to 2.8 with no fitted quantity, and the BMR scaling law has been verified independently in D = 2, 3 and 4. That result concerns the magnitude only and is independent of everything registered here. It carries its own unresolved objection: alpha < 1 makes the energy sub-additive, so rho_DE is not a local energy density, and the only extensive case alpha = 1 misses the magnitude by 10^30. NO PARAMETER IN THE CHAIN IS FITTED TO DATA. The chain contains one stated postulate, the bit law, and the document records what the author's own simulation finds about it (s = 0.3829) together with every adverse figure known at the time of writing. (The two figures for s quoted in this deposit differ only by the treatment of growth: 0.3829 uses the Carroll-Press-Turner growth fit, exact integration of the growth equation gives 0.396, and nothing else separates them. See CORRECTIONS.md section 38 A1.) The companion archive - the corrections record, the scripts and their reference outputs - is deposited separately as version 7 of 10.5281/zenodo.20889240. SECOND REGISTRATION, ADDED 26 SEPTEMBER 2026: A PENNING-TRAP TEST WITH BOTH PREDICTIONS STATED IN ADVANCE. PREREGISTRATION_penning_2026-09-26.md registers a single-electron comparison between (B) a spin entangled with a photon it has emitted and (C) the same spin flipped or not at random. The two have the same reduced density matrix, the same populations and the same photon statistics. Standard quantum mechanics predicts identical spectra. UIFT predicts (B) lighter by k_B T ln2 / c^2. And FFGFT (J. Pascher) predicts null, stated by its author in writing before the measurement exists, with his own falsification clause: if (B) and (C) differ, A272 falls with it. Registered operating point: pumped liquid 4He, T = 1.5 K, cyclotron occupation 1 %, signal 0.15 delta = about 27 Hz at 148.4 GHz. Registered ceiling: the signal can never exceed ln2 of the relativistic shift per cyclotron quantum while the cyclotron mode is cold, because the ratio is ln2 / ln(1 + 1/n-bar) and depends on the occupation alone. The principal difficulty is registered too: single-electron work of this precision is done at 50-100 mK, where the signal is 0.01 delta, and spectroscopy of one electron at 1-2 K is not a regime any group currently operates in. mu(T) is registered as an explicit POSTULATE; the archive's earlier claim that it could be derived is withdrawn, the argument having been published earlier by Lairez, Entropy 26, 337 (2024). Two of its three versions are already excluded, one of them by Jun, Gavrilov and Bechhoefer (PRL 113, 190601, 2014) at 22.5 sigma. The asymmetry of exposure is stated in the document rather than left to be assumed: FFGFT predicts what standard quantum mechanics already predicts, so its risk is the smaller one. THIRD ITEM, EXPLICITLY POST-HOC: MECHANISM B. On 24 September 2026, after the present fits were known, this archive defined the family Gamma = gamma H^n for the creation rate of committed bits per unit physical volume, in which n = 1 is exactly the postulate N proportional to V, n = 0 is a constant rate per four-volume (the founding axiom of causal-set theory, Bombelli, Lee, Meyer and Sorkin 1987), and n = 4 is de Sitter particle production. Scanning n against DESI DR2 BAO + theta* + R gives a best fit at n = -0.10 with Delta chi-squared = -6.31 against LCDM; the causal-set value n = 0 sits 0.54 from the optimum; the framework's own postulate n = 1 sits 120 away. Two mechanisms were tried and one landed, so this is NOT evidence and is registered here only so that its provenance is fixed. Mechanism B predicts, for data that do not yet exist: w0 = -0.937, a w = -1 crossing at z = 0.348, and CPL (w0, wa) = (-0.933, -0.269). Roman will measure w0 far better than the 0.06 separating it from LCDM. The decision recorded in the companion archive is to KEEP the pre-registered definition of a committed bit as a first shell crossing, with its adverse measurement, and to register mechanism B separately rather than to switch to it. THE TWO REGISTRATIONS ABOVE ARE MUTUALLY EXCLUSIVE. The framework cannot hold both the first-shell-crossing definition of a committed bit and the four-volume creation law; section 57.1 of the corrections record shows they cannot be the same law, because a first-crossing count saturates and a Gamma ~ H^n law never does. Roman's measurement of w0 will decide between them: -0.8876 for the registered chain, -0.937 for mechanism B, or -1 for LCDM. This deposit registers both, with their provenance, so that whichever way the measurement falls it was written down first.
Author: Teker, Onur
Institution: Information Physics Institute
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214945238