Pricing Uncertainty: A Quantum Leap in Options Modeling
![The study demonstrates that a probability density function-which reduces to the normal distribution assumed in the Black-Scholes Model when [latex]\beta = 0[/latex]-influences call option pricing, as observed with parameters of [latex]r = 10\%[/latex], [latex]S\_0 = 20[/latex], [latex]K = 20[/latex], [latex]T = 1 year[/latex], and [latex]\sigma = 25\%[/latex].](https://arxiv.org/html/2601.00293v1/x3.png)
Researchers are exploring the potential of quantum mechanics to refine financial modeling and address the limitations of traditional option pricing methods.
Science
Bending Time with Light: A New Path to Hyperbolic Time Crystals
![Hypercrystal drift modulation utilizes a pulse sequence - characterized by alternating signs and a non-zero average field - to induce carrier drift momentum [latex] p_{D} [/latex] distinct from the pump impulse [latex] p_{M} [/latex], resulting in a time-dependent dielectric permittivity [latex] {\bf D}(t) [/latex] that exhibits directional dependence - parallel and perpendicular components relative to the modulation field [latex] {\bf E}_{M} [/latex] - as demonstrated in calculations performed for a heavily doped gallium arsenide sample with a relaxation time of [latex] \tau_{0} = 0.1 [/latex] and a modulation interval of [latex] T_{M} = 20 [/latex] fs.](https://arxiv.org/html/2601.00547v1/x2.png)
Researchers have demonstrated a novel method for creating hyperbolic time crystals by dynamically modulating the movement of charge carriers within a material.
The Vanishing Proton: A New Hunt for Physics Beyond the Standard Model
![The study demonstrates complementarity between pseudoscalar meson decay and axion-like particle (ALP) contributions to missing-proton-energy events at an Electron-Ion Collider, with sensitivity bounds defined in the [latex]\{g_{a\chi}, f_{a}^{-1}\}[/latex] plane for ALP masses of 0.25 GeV (solid curves) and 1 GeV (dashed curves), assuming negligible background.](https://arxiv.org/html/2601.00068v1/x4.png)
A novel search strategy at the future Electron-Ion Collider could reveal subtle signals of new particles by looking for events where a proton seemingly disappears.
Echoes of the Quantum Universe in Gravitational Waves
A new study explores how future gravitational wave detectors could reveal subtle signatures of quantum gravity near black holes.
Beyond Order: Topology’s Role in Quantum Phase Transitions
A new perspective on quantum criticality emerges as researchers explore the interplay between topological states and the breakdown of conventional order.
The Fabric of Reality: Can Spacetime Emerge From Spin?
A new theoretical approach proposes that spacetime isn’t a fundamental entity, but arises from the intricate interactions of elementary spinor particles.
Entanglement’s Role in Unveiling Phase Transitions
![In the context of EN-BI massive gravity, a Hawking-Page phase transition exhibits a critical temperature of [latex]T_1 = 0.0728[/latex], beyond which the system undergoes a first-order phase transition, ultimately reaching a minimum temperature of [latex]T_0 = 0.0455[/latex] as indicated by the relationship between free energy, temperature, and entropy density.](https://arxiv.org/html/2601.00071v1/x19.png)
New research leverages holographic entanglement measures to probe the boundaries between different states of matter and spacetime in complex gravitational systems.
Sonic Horizons: Simulating Black Holes with Light and Sound
![A condensate of polaritons, subjected to resonant oblique pumping, exhibits a tunable acoustic horizon-created at the point where flow velocity [latex]v_F[/latex] matches the sound velocity [latex]c_s[/latex]-allowing for precise control of these velocities through manipulation of pump amplitude and incidence angle.](https://arxiv.org/html/2512.23744v1/Fig_scheme.png)
Researchers have created a system using exciton-polariton condensates that mimics the behavior of black holes, potentially allowing for the study of Hawking radiation in a laboratory setting.
Beyond the Horizon: Redefining Sensing Limits with Massive Arrays
A new analysis establishes fundamental performance limits for near-field sensing systems, paving the way for more accurate and reliable 6G technologies.
Unlocking Gravity’s Secrets with String Theory’s Double Copy
New research reveals how a powerful mathematical technique can connect particle interactions and gravitational forces, offering insights into fundamental physics.