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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
The concept of temperature has evolved from the common concepts of hot and cold. The scientific definition of temperature explains more than just our sense of hot and cold. Temperature is operationally defined as the quantity measured with a thermometer. Furthermore, temperature is...
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Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Heat Capacities of an Ideal Gas II01:23

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For a system that undergoes a thermodynamic process at a constant volume condition, the heat absorbed is used only to increase the system's internal energy and not for doing any kind of work. While for a system undergoing a thermodynamic process under a constant pressure condition, the amount of heat absorbed is used not only for increasing the internal energy (as a function of temperature) but also for doing some work. The molar heat capacity is the amount of heat required to increase the...
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Updated: Jul 11, 2025

Thermocapillary Convection Space Experiment on the SJ-10 Recoverable Satellite
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Do the CMB Temperature Fluctuations Conserve Parity?

Oliver H E Philcox1

  • 1Center for Theoretical Physics, Department of Physics, Columbia University, New York, New York 10027, USA and Simons Foundation, New York, New York 10010, USA.

Physical Review Letters
|November 17, 2023
PubMed
Summary

This study measured parity-odd cosmic microwave background (CMB) signals using Planck data, finding no evidence for new physics or early-Universe phenomena. The results constrain primordial models and suggest observed galaxy survey anomalies are not of primordial origin.

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Area of Science:

  • Cosmology
  • Astrophysics
  • Particle Physics

Background:

  • Cosmic Microwave Background (CMB) observations confirm the Universe's large-scale homogeneity and isotropy.
  • Probing the Universe's invariance under reflections requires parity-sensitive statistics, such as the trispectrum for scalar observables.

Purpose of the Study:

  • To perform the first measurements of parity-odd scalar CMB temperature anisotropies.
  • To test for parity violation in the early Universe and constrain new physics models.

Main Methods:

  • Utilized new quasi-maximum-likelihood estimators for binned correlators on large-scale Planck CMB temperature data (2<ℓ<510).
  • Developed blind tests for parity violation using a χ² statistic and simulations to account for non-Gaussianity and foregrounds.
  • Constrained eight primordial models, including ghost inflation and cosmological collider scenarios.

Main Results:

  • Found consistency with parity symmetry at the ≈0.4σ level, indicating no evidence for novel early-Universe phenomena.
  • Constrained primordial models with a maximal detection significance of 2.0σ, finding no signatures of new physics.
  • Indicated that observed parity excesses in the BOSS galaxy survey are unlikely to be primordial.

Conclusions:

  • The CMB data shows no evidence for parity violation, constraining theories of new physics.
  • The study provides a framework for future investigations into early Universe physics using CMB data.
  • Results suggest that observed anomalies in galaxy surveys may not originate from the primordial Universe.