Tootfinder

On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability
Marek Czachor
https://arxiv.org/abs/2510.00637 https://arxiv.org/pd…

On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability
A hierarchical structure of isomorphic arithmetics is defined by a bijection $g_\mathbb{R}:\mathbb{R}\to \mathbb{R}$. It entails a hierarchy of probabilistic models, with probabilities $p_k=g^k(p)$, where $g$ is the restriction of $g_\mathbb{R}$ to the interval $[0,1]$, $g^k$ is the $k$th iterate of $g$, and $k$ is an arbitrary integer (positive, negative, or zero; $g^0(x)=x$). The relation between $p$ and $g^k(p)$, $k>0$, is analogous to the one between probability and neural activation functi…

"Dr. Charles Misner, who passed away in 2023 at the age of 91, was a professor of physics at the University of Maryland from 1963 to 2000, and a renowned expert in General Relativity. He was the recipient of the Albert Einstein medal in 2015, and was the co-author of “Gravitation”, one of the best-selling books in the subject of General Relativity, featuring none other than Kip Thorne on the cover."

Charles Misner & Patrick Cooney
Given the pervasiveness and versatility of computers in our world of 2025 it is easy to ignore that 80 years ago they were initially conceived as what we would call today a calculator, specifically created to solve tedious mathematical problems. Of course, users of TikTok, Call of Duty, YouTube, Visual Studio Code, or even readers of this website through some web browser like Firefox are usually (and blissfully) unaware of the gazillion computations per second that it takes to produce everythin…

Consistency of spin effects between numerical relativity and perturbation theory for inspiraling comparable-mass black hole binaries
Tousif Islam, Gaurav Khanna, Scott E. Field
https://arxiv.org/abs/2510.00531

Consistency of spin effects between numerical relativity and perturbation theory for inspiraling comparable-mass black hole binaries
Numerical relativity (NR) provides the most accurate waveforms for comparable-mass binary black holes but becomes prohibitively expensive for increasingly asymmetric mass ratios. Point-particle black hole perturbation theory (ppBHPT), which expands the Einstein equations in the small-mass-ratio limit, offers a computationally efficient alternative but is expected to break down in the comparable-mass regime because it neglects nonlinear effects. Nonetheless, several recent studies have shown tha…

Here is a note on a friend who died two weeks ago...
I will always carry the image of Joel wearing his Sherlock Holmes cap and short cape.
Joel spent many an hour explaining current cosmological theory to me. He explained general relativity at our dinner table and gave me a deep lesson in astrobiology during a trip to Aspen. I wish I had had more teachers like him.
In Memoriam: Joel Primack

In Memoriam: Joel Primack
Distinguished emeritus professor was a towering figure in theoretical physics and cosmology, a visionary educator, dedicated mentor, and passionate advocate for the role of science in society

New pre-print out: "Types, equations, dimensions and the Pi theorem".
We formalized the covariance principle (physical laws must be independent of units) as a homomorphism between the algebra of physical quantities and real numbers.
While the Pi Theorem from Dimensional Analysis (DA) is non-constructive, we introduce a constructive method for applying it. This could enable DA-driven program derivation where the type checker helps identify valid physical laws.
📝 Bl…

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
Ichiro Oda
https://arxiv.org/abs/2509.23648 https://arxiv.org/pdf/2509.23…

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
We show that starting with a cosmological constant in a curved space-time, the Einstein-Hilbert term of general relativity is generated through a ghost condensation. We fix Weyl symmetry, or equivalently local scale symmetry by a gauge condition $R = 0$ à la BRST formalism, and see that the condensation of the Faddeev-Popov ghosts, $\langle \bar c c \rangle \neq 0$ leads to a generation of the Einstein-Hilbert action of general relativity. This dynamical mechanism of symmetry breakdown for a g…

Eccentric binary black holes: A new framework for numerical relativity waveform surrogates
Peter James Nee, Adhrit Ravichandran, Scott E. Field, Tousif Islam, Harald P. Pfeiffer, Vijay Varma, Michael Boyle, Andrea Ceja, Noora Ghadiri, Lawrence E. Kidder, Prayush Kumar, Akash Maurya, Marlo Morales, Antoni Ramos-Buades, Abhishek Ravishankar, Katie Rink, Hannes R. R\"uter, Mark A. Scheel, Md Arif Shaikh, Daniel Tellez

Eccentric binary black holes: A new framework for numerical relativity waveform surrogates
Mounting evidence indicates that some of the gravitational wave signals observed by the LIGO/Virgo/KAGRA observatories might arise from eccentric compact object binaries, increasing the urgency for accurate waveform models for such systems. While for non-eccentric binaries, surrogate models are efficient and accurate, the additional features due to eccentricity have posed a challenge. In this letter, we present a novel method for decomposing eccentric numerical relativity waveforms which makes …

Universality of free fall in Planck-scale deformed Newtonian gravity
Giuseppe Fabiano, Domenico Frattulillo, Christian Pfeifer, Fabian Wagner
https://arxiv.org/abs/2510.02046 ht…

Universality of free fall in Planck-scale deformed Newtonian gravity
The universality of free fall is one of the most cherished principles in classical gravity. Its fate in the quantum world is one of the key questions in fundamental physics. We investigate the universality of free fall in the context of Planck scale modifications of Newtonian gravity. Starting from a doubly-special-relativity setting we take the Newtonian limit to obtain deformed Galilean relativity. We study the interaction between two test particles, subject to deformed Galilean relativity, a…

Intrinsic Heisenberg-type lower bounds on spacelike hypersurfaces in general relativity
Thomas Sch\"urmann
https://arxiv.org/abs/2510.01628 https://ar…

Intrinsic Heisenberg-type lower bounds on spacelike hypersurfaces in general relativity
We prove a coordinate- and foliation-independent Heisenberg-type lower bound for quantum states strictly localized in geodesic balls of radius $r$ on spacelike hypersurfaces of arbitrary spacetimes (with matter and a cosmological constant). The estimate depends only on the induced Riemannian geometry of the slice; it is independent of the lapse, shift, and extrinsic curvature, and controls the canonical momentum variance/uncertainty $σ_p$ by the first Dirichlet eigenvalue of the Laplace-Beltra…

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[2/2]:
- Testing the nature of GW200105 by probing the frequency evolution of eccentricity
Avinash Tiwari, Sajad A. Bhat, Md Arif Shaikh, Shasvath J. Kapadia