14854718
Measurement and Its Mathematical Scale
It is argued that every measurement is made in a certain scale. The scale in which present measuments are made is called present scale which gives present knowledge. Quantities at the limits to present measurement may be observables in other scales. Cantor's series of infinites is used to describe scales of measurement. Continuum Hypothesis and Schroedinger Cat are discussed.
14432849
Calculation of the Deflection of Light Ray near the Sun with Quantum-corrected Newton's Gravitation Law
The deflection of light ray passing near the Sun is calculated with quantum-corrected Newton's gravitation law. The satisfactory result suggests that there may exist other theoretical possibilities besides the theory of relativity.
18086741
What is in One: Uncertainty quantum and Continuum Hypothesis
The concept of measurement is discussed. It is argued that counting process in mathematics is also measurement which requires a basic unit. The idea of scale is put forward. The basic unit itself, which are composed of the infinitesimal of uncertainty quantum, can be regarded as infinite in another scale. Thus infinite, infinitesimal and integer " 1 " are unified. It is proposed that multiplication changes to summation when it is transformed to a larger scale. The Continuum Hypothesis is proved to be correct after a scale transformation.
115394521
System and Its Uncertainty Quanta: Theory of General System (I)
The concept of uncertainty quanta for a general system is introduced and applied to some important problems in physics and mathematics. EPR paradox gives new clue to the further understanding of particle correlation which turns out to be the nature of this world. Randomness in quantum mechanics, statistical physics and chaos is integrated. A picture for a new kind of mathematics is put forward.
31200728
Development of SNSPD System With Gifford-McMahon Cryocooler
A superconducting nanowire single photon detector (SNSPD) system for telecommunication wavelength using a GM cryocooler was developed and its performance was verified. The cryocooler based SNSPD system can operate continuously with a 100 V AC power supply without any cryogen. The packaged SNSPD device was cooled to 2.96 K within a thermal fluctuation range of 10 mK. An SNSPD with an area of 20 times 20 mum2 showed good system detection efficiency (DE) at 100 Hz dark count rate of 2.6% and 4.5% at wavelengths of 1550 and 1310 nm, respectively. An SNSPD with an area of 10 times 10 mum2 and kinetic inductance lower than that of the large area device showed good system DE of 2.6% at a wavelength of 1550 nm. The SNSPD system could be operated for over 10 h with constant system DE and dark count rate.
8140539
Calculation of Planetary Precession with Quantum-corrected Newton ’ s Gravitation ∗
With consideration of quantization of space, we relate the Newton’s gravitation with the Second Law of thermodynamics. This leads to a correction to its original form, which takes into consideration of the role of classical measurement. Our calculation shows this corrected form of gravitation can give explanation for planetary precession. The most distinctive feature of quantum mechanics is the concept of measurement. It is more reasonable and closer to reality compared with that in classical physics. Therefore the first step that leads to a successful combination of quantum mechanics and general relativity should be the introduction of the role of measurement into classical physics. Such attempt has been scarcely seen because most physicists will not give up the concept of independent objectiveness of reality in classical physics. But as a matter of fact we can only talk about the part of the reality we are able to measure, which is certainly under the influence of our measurement. It is the purpose of this paper to show with an example that this philosophy of quantum physics may also work in classical physics. We know in both classical and quantum physics, in reality and in philosophy, nothing can be made up of zeros, otherwise many paradoxes like Zeno paradox [1] would arise. Therefore it is natural and reasonable to assume that there must be a basic measuring unit in every single measurement, which can not be measured itself. It is the basic brick that constructs the result of our measurement. I would like to call it uncertainty quantum, since we are uncertain about its nature in principle. For example, in order for the concept of length to make sense, there must be a length quantum. And time would have no meaning if there were not a time quantum. Evidently this quantum is characteristical of an observer. In this way, we have introduced a subjective feature into classical physics. We The author would like to thank Prof. Guoying Chee for beneficial discussion
14918025
Water abundance in molecular cloud cores
We present Submillimeter Wave Astronomy Satellite (SWAS) observations of the 110 → 101 transition of ortho-H2O at 557 GHz toward 12 molecular cloud cores. The water emission was detected in NGC 7538, ρ Oph A, NGC 2024, CRL 2591, W3, W3OH, Mon R2, and W33 and was not detected in TMC-1, L134N, and B335. We also present a small map of the H2O emission in S140. Observations of the H218O line were obtained toward S140 and NGC 7538, but no emission was detected. The abundance of ortho-H2O relative to H2 in the giant molecular cloud cores was found to vary between 6 × 10-10 and 1 × 10-8. Five of the cloud cores in our sample have previous H2O detections; however, in all cases the emission is thought to arise from hot cores with small angular extents. The H2O abundance estimated for the hot core gas is at least 100 times larger than in the gas probed by SWAS. The most stringent upper limit on the ortho-H2O abundance in dark clouds is provided in TMC-1, where the 3 σ upper limit on the ortho-H2O fractional abundance is 7 × 10-8.
119395992
Dilepton production from p-p to CaCa at the Bevalac
Abstract The DLS collaboration has recently completed a high statistics study of dilepton production at the Bevalac. In particular, we have measured dielectrons (e + e − ) from p - p and p - d collisions to understand the basic dilepton production mechanisms in the energy range from 1.05 – 4.9 GeV. These data can be used to determine the basic processes which contribute to nucleon-nucleon dilepton production such as hadronic bremsstrahlung, vector meson processes, and hadronic Dalitz decay. The data show that a simple elastic bremsstrahlung calculation is insufficient to explain the data. Theoretical models are compared with the data. A new high statistics study of Ca  Ca at 1.05 A·GeV has been made to study the collectivity of A - A collisions.
279557
Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
We study superconducting states in the presence of spin-orbital coupling and Zeeman field. It is found that a phase transition from a Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon increasing the spin-orbital coupling. The nature of this topological phase transition and its critical property are investigated numerically. Physical properties of the topological superconducting phase are also explored. Moreover, the local density of states is calculated, through which the topological feature may be tested experimentally.
59247128
Quantum field theory on quantized Bergman domain
We present an oscillator realization of discrete series representations of group SU(2, 2). We give formulas for the coherent state star-product quantization of a Bergman domain D. A formulation of a (regularized) noncommutative scalar field on a quantized D is given.
119627570
How to Resum Feynman Graphs
In this paper, we reformulate the combinatorial core of constructive quantum field theory. We define universal rational combinatorial weights for pairs made of a graph and any of its spanning trees. These weights are simply the percentage of Hepp’s sectors of the graph in which the tree is leading, in the sense of Kruskal’s greedy algorithm. Our main new mathematical result is an integral representation of these weights in terms of the positive matrix appearing in the symmetric “BKAR” Taylor forest formula. Then, we explain how the new constructive technique called Loop Vertex Expansion reshuffles according to these weights the divergent series of the intermediate field representation into a convergent series which is the Borel sum of the ordinary perturbative Feynman’s series.