This Zenodo record contains the main preprint and supplementary information for a shared-parameter closure analysis of Continuous Spontaneous Localization (CSL) using public upper-bound evidence and direct astrophysical inequalities. Over the reporting domain x = log10(r_C / m) in [-10, 0] and y = log10(λ / s^-1) in [-20, -5], the study reconstructs admissible upper envelopes for XENONnT, a GW/LISA composite constraint, radiation-channel searches, cold-atom and bulk-heating constraints, cantilever-related bounds, and direct astrophysical heating inequalities. The principal result is a quantified compression of the shared admissible CSL region under the current public evidence stack, together with an evidence-class limit: when each channel is represented only by one-sided admissible upper envelopes or direct inequalities, the shared-envelope admissible set is exactly the intersection of the individual admissible sets. Under this evidence class alone, positive-measure closure-failure regions cannot be established. Accordingly, the record supports a bounded claim: current public single-channel summaries overstate the shared admissible CSL volume, whereas decisive inconsistency testing requires richer, likelihood-aware evidence. Files included in this record:1. Main preprint PDF.2. Supplementary PDF containing source/provenance notes, formulas, exact reported metrics, and reproducibility notes.
This Zenodo record contains the main preprint and supplementary information for a shared-parameter closure analysis of Continuous Spontaneous Localization (CSL) using public upper-bound evidence and direct astrophysical inequalities. Over the reporting domain x = log10(r_C / m) in [-10, 0] and y = log10(λ / s^-1) in [-20, -5], the study reconstructs admissible upper envelopes for XENONnT, a GW/LISA composite constraint, radiation-channel searches, cold-atom and bulk-heating constraints, cantilever-related bounds, and direct astrophysical heating inequalities. The principal result is a quantified compression of the shared admissible CSL region under the current public evidence stack, together with an evidence-class limit: when each channel is represented only by one-sided admissible upper envelopes or direct inequalities, the shared-envelope admissible set is exactly the intersection of the individual admissible sets. Under this evidence class alone, positive-measure closure-failure regions cannot be established. Accordingly, the record supports a bounded claim: current public single-channel summaries overstate the shared admissible CSL volume, whereas decisive inconsistency testing requires richer, likelihood-aware evidence. Files included in this record:1. Main preprint PDF.2. Supplementary PDF containing source/provenance notes, formulas, exact reported metrics, and reproducibility notes.
Continuous Spontaneous Localization (CSL) and related collapse models predict a universal heating of matter. If the collapse noise is colored, i.e. has a spectral cutoff Ω far below X-ray frequencies, the X-ray bounds that exclude white-noise CSL no longer apply, and bulk heating of a medium samples the noise at the phonon frequency c_s/r_C. Superfluid helium-4, with a sound speed of about 238 m/s, samples it roughly 17 times lower in frequency than typical solids. For Lorentzian (cCSL) noise, helium is therefore more sensitive than a solid by (c_solid/c_He)^2 ≈ 280 when Ω ≪ c_He/r_C. This advantage is robust against phonon damping; the much larger ratio obtained for an ideal sharp cutoff is not. We compare projected helium constraints with all cutoff-robust bounds over the full (λ, r_C, Ω) parameter space: LISA Pathfinder and its re-analysis, the layered ultracold cantilever, cold atoms, and the heat budgets of the Earth and Moon. The mechanical bounds are scaled with their exact form factors, and the space is limited from below by a classicality requirement. At r_C = 10^-7 m, a helium calorimeter with residual unexplained heating of 10 pW/kg improves on the strongest peer-reviewed bound only by a factor of about 5 (2.4 including preprint bounds). The advantage is concentrated at small localization lengths: for r_C ≲ 3×10^-8 m the gain is about 55–75 at 10 pW/kg and about 7 even at the demonstrated level of ~100 pW/kg. For r_C ≲ 3 nm, helium would close the remaining open parameter space in a band of Ω. We propose a discriminating two-medium signature. CSL heating per unit mass is material independent for white noise, but colored noise raises the helium-to-solid ratio up to (c_solid/c_He)^2, i.e. 85–2200 for Pb to sapphire. We also show that single-mode quantum acoustics is not competitive with calorimetry, and we give a quantitative systematic budget for an underground, differential calorimeter. Version 2 adds the layered-cantilever bound, the LISA Pathfinder re-analysis, the lunar bound, a classicality lower bound, a damping analysis, a systematic budget and the two-medium signature, and corrects the novelty claims of version 1. All numbers and figures are reproducible with the accompanying Python scripts (physics.py, analysis.py), which run a built-in validation suite first.
Dynamical collapse models such as Continuous Spontaneous Localization (CSL) address the quantum measurement problem and predict a tiny spontaneous heating of matter. The originally proposed parameter range of white-noise CSL has been excluded by X-ray searches, most recently XENONnT (2026). These X-ray bounds, however, lose their validity if the collapse noise is "colored", i.e. cut off below X-ray frequencies. In that regime the strongest remaining constraints come from bulk heating of solids and from low-frequency mechanical experiments. This feasibility study applies the colored-noise heating formalism of Adler and Vinante to superfluid helium-4. Because the sound speed of helium (~238 m/s) is about 17 times lower than that of solids, helium samples the noise spectrum at correspondingly lower frequencies. This gives a sensitivity advantage over solids of ~280 for Lorentzian (cCSL) noise and up to ~10^6 for a sharp cutoff. For r_C = 10^-7 m, a helium calorimeter limiting unexplained heating to 10 pW/kg (1 pW/kg) would improve on the strongest existing bound by a factor of ~2 (~25) in the window Ω ≈ 3×10^9 – 5×10^10 s^-1. This window overlaps with cosmologically motivated cutoff frequencies for cCSL. The note includes closed-form results, validated numerical calculations, and a proposed experimental concept: underground DC calorimetry with tens of kilograms of superfluid helium, using a fill-level differential measurement to separate wall-induced backgrounds. Limitations and open questions are discussed.
The Majorana Demonstrator neutrinoless double-beta decay experiment comprises a 44 kg (30 kg enriched in ^{76}Ge) array of p-type, point-contact germanium detectors. With its unprecedented energy resolution and ultralow backgrounds, Majorana also searches for rare event signatures from beyond standard model physics in the low energy region below 100 keV. In this Letter, we test the continuous spontaneous localization (CSL) model, one of the mathematically well-motivated wave function collapse models aimed at solving the long-standing unresolved quantum mechanical measurement problem. While the CSL predicts the existence of a detectable radiation signature in the x-ray domain, we find no evidence of such radiation in the 19-100 keV range in a 37.5 kg-y enriched germanium exposure collected between December 31, 2015, and November 27, 2019, with the Demonstrator. We explored both the non-mass-proportional (n-m-p) and the mass-proportional (m-p) versions of the CSL with two different assumptions: that only the quasifree electrons can emit the x-ray radiation and that the nucleus can coherently emit an amplified radiation. In all cases, we set the most stringent upper limit to date for the white CSL model on the collapse rate, λ, providing a factor of 40-100 improvement in sensitivity over comparable searches. Our limit is the most stringent for large parts of the allowed parameter space. If the result is interpreted in terms of the Diòsi-Penrose gravitational wave function collapse model, the lower bound with a 95% confidence level is almost an order of magnitude improvement over the previous best limit.
A source-bound benchmark is presented for a white, mass-proportional Continuous Spontaneous Localization (CSL) force-noise calculator. The calculation is compared with fixed numerical points from a levitated-sphere study, a nanocantilever study and a LISA Pathfinder analysis. After explicit spectral-convention reconciliation, the sphere comparison reproduces its five assigned source points with a maximum relative deviation of 8.66%. A rigid-cuboid-plus-sphere cantilever approximation reproduces five points from the published contour with a maximum deviation of 11.28%. Both satisfy the fixed 30% point criterion. The LISA calculation clears the smaller assigned points but fails at r_C = 0.1 m: computed/source is 2.03507. The supplied digitized trace also shows disagreement across approximately 0.03–0.30 m, with ratios 1.95–2.77; its onset remains unlocated. The completed labelled-tick calibration leaves a 30.31-pixel discrepancy against the fixed ±5 allowance. A portable kit regenerates the results, including this retained failure. These checks test implementation and source reproduction, not CSL’s physical validity, a new exclusion region or apparatus feasibility. This first public release (v0.1) derives from adopted R4. The record includes the manuscript PDF and DOCX and a portable code/data kit. Original code is MIT licensed; original manuscript, narrative documentation and newly drawn figures are CC BY 4.0. Third-party source/dependency rights remain with their holders; see LICENSES.md in the kit. Generative AI assisted planning, implementation, source checking and drafting. Same-session and related-family reviews do not establish independent validation. QianJun Yu is responsible for the release. The LISA failure is intentionally retained.
We propose and analyze a model of objective wave-function collapse induced by alightreal scalar field ϕ coupled to the mass density of matter viaa Higgs-portal interaction. Themodel aims to provide a microscopic origin for continuous spontaneous localization (CSL)–type dynamics while remaining compatible with particle physics, astrophysical, and non-interferometric collapse constraints. Starting from a concrete Higgs-portal Lagrangian, we derive the non-Markovian master equation for the reduced density matrix of matter obtained by integrating out ϕ in a general Gaussian state. We show that for a massive scalar field in thermal equilibrium (including the vacuum) the Markovian limit required to recover a CSL-like Lindblad term vanishes identically : the time-integrated field correlator defining the would-be Markovian kernel is zero for m_ϕ= ̸=0. This provides a simple“no-go” result: a standard equilibrium quantum field cannot generate a white-noise collapse term of CSL type. We then introduce a phenomenological non-equilibrium scalar noise parameterized by a dimensionless amplification factor X_ϕ and derive the mapping between the scalar–nucleon coupling gs and the CSL collapse rate λ as a function of the correlation length r_C. Using theHiggs-portal structure, we relate gs to the mixing angle θ and portal coupling λHS and confront the model with (i) astrophysical bounds on fifth-forces and stellar cooling, (ii) collider limits on invisible Higgs decays and Higgs–scalar mixing, and (iii) non-interferometric CSL constraints from X-ray emission, bulk heating, cold atoms, LISA Pathfinder and planetary heating. We show that the reexists aviable region of parameter space with mϕ∼eV, r_C∼200nm, gs≲10e-13, λ_HS∼10e−11 and λ∼10e12s−1 which satisfies simultaneously all current constraints while providing a potentially observable collapse rate for mesoscopic systems. Our analysis clarifies both the promise and limitations of Higgs-portal scalar field collapse models : they offer a concrete, testable UV completion for CSL, but require the scalar sector to be in a non-equilibrium, effectively classical state whose microscopic origin remains to be explained. NB: "This is personal/unfunded research."
Transactional Unimodular Continuous Spontaneous Localization (TUCSL) is a proposed reconstruction of dynamicalcollapse theory in which the transactional interpretation is combined with continuous, non-pointlike record actualization.The collapse is not a punctual jump imposed on an already given spacetime. It is modeled as a q-smoothed, completelypositive record channel acting on transactional offer-confirmation structures, with stable records becoming theoperational substrate from which Lorentzian geometry, matter records and macroscopic classicality are realized.The central architectural novelty is the coupling of continuous collapse to unimodular gravity. In standard CSL, energynonconservation is one of the main conceptual and phenomenological liabilities. TUCSL instead treats the CSL-inducedstress-energy defect as an exact-sector source in unimodular closure: local nonconservation is not left as a freeviolation, but is slaved to a variable cosmological response, so that the missing energy is transferred into adark-energy-like integration sector. Dark energy is therefore not introduced as a new scalar substance; in the TUCSLsequence it becomes partly the observer-facing response of unimodular closure, and partly the FLRW compression of amore inhomogeneous Szekeres-Szafron record geometry.Across the 69-paper sequence, TUCSL develops conditional theorem-schemas for black-hole interiors, cosmology,low-energy field theory, and inter-aeonic renewal. The programme claims no completed theory of quantum gravity andno proof of every stability estimate. Its sharp claims are conditional: singularities are replaced by failures of infiniterecordability under q-bandage damping; strong CP is addressed without an axion by non-descendence of the CP-odddeterminant-line/topological record phase; neutral naturalness supplies a compatible twin-Higgs sector for the hierarchyproblem; and black-hole evaporation can leave protected remnant record defects that seed a later aeon through the BigBlur.The strongest internal achievement of the current sequence is parameter closure. TUCSL derives a laboratory CSLcorrelation length from a local electronic recordability principle rather than choosing it phenomenologically: r_C = l_Pl [ln2 alpha D_e^2]^{1/3}, with D_e the Dirac-Eddington electron force ratio, giving r_C about 7.2 x 10^{-8} m. Thecomplementary minimal collapse clock is then obtained from a Diosi-Penrose-Landauer one-bit gravitational self-energyrate, lambda_m^{min} = G m^2/(hbar r_C ln 2), yielding the nucleon-normalized lower rate. In this sense TUCSLattempts what ordinary collapse models have not done: derive the benchmark length and a minimal collapse rate from arecord-theoretic principle rather than inserting them by hand.