Possible Kinematics

Bacry, H.; Lévy‐Leblond, Jean‐Marc

doi:10.1063/1.1664490

Cited by 503 publications

(884 citation statements)

References 14 publications

Supporting

Mentioning

879

Contrasting

Unclassified

Order By: Relevance

“…In fact, all possible kinematics with ten-parameter transformation groups [15] should be contracted [16] from the relativity with invariant speed and length SR c,R . For instance, one may consider the Newton-Hooke limit [17], [18], [19] of the dS spacetime.…”

Section: Remarksmentioning

confidence: 99%

On special relativity with cosmological constant

Guo

Huang

et al. 2004

Physics Letters A

View full text Add to dashboard Cite

Based on the principle of relativity and the postulate of invariant speed and length, we propose the theory of special relativity with cosmological constant SRc,R if the invariant length whose square is the inverse of the one-third cosmological constant of the universe. It is on the Beltrami-de Sitter spacetime BR with de Sitter invariance. We define the observables of free particles and generalize famous Einstein's formula. We also define two kinds of simultaneity. The first is for local experiments and inertial motions. The second is for cosmological observations. Thus there is a relation between the relativity principle and the cosmological principle. We predict that the 3-d cosmic space is then of positive spatial curvature of order cosmological constant. The relation between SRc,R and the doubly special relativity is briefly disucssed.

show abstract

Section: Remarksmentioning

confidence: 99%

On special relativity with cosmological constant

Guo

Huang

et al. 2004

Physics Letters A

View full text Add to dashboard Cite

show abstract

“…The assumption of the principle of Galilean relativity [111,112] -the description of elastic phenomena is assumed independent of translations in time and space, uniform motion, and rotation, i.e. the transformations…”

Section: Phonons: Quantised Linear Elastodynamicsmentioning

confidence: 99%

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Sudhir

2018

Springer Theses

View full text Add to dashboard Cite

PAR Vivishek SUDHIR JOSEPH CONRAD, Heart of DarknessExperimental physics demands a certain degree of manual dexterity, the patience to tolerate the mundane, and an inexhaustible supply of optimism. Tobias hired me to work on an immensely sophisticated experiment despite any proof of my possessing these qualities; I am indebted to him for the belief he has placed in me. I would also like to acknowledge his dedication to fostering an environment where the pursuit of science is unencumbered by other worldly concerns. Stefan, Ewold and Samuel bore the brunt of a theorist trying to perform delicate experiments; the stern, yet encouraging, stewardship of this trio ensured that I enjoyed the culture shock. Dal Wilson was more than a colleague and a post-doc; his pragmatic approach to physics provided the ideal counter-point in our attempts to forge a deeper understanding of things ranging from vibration isolation to the subtleties of quantum mechanics. Without the patient efforts of Amir, Ryan and Hendrik in designing, fabricating, and testing of devices, none of the results reported here would have been possible. I hope I have been able to bequeath a better vision of the future of our experiment to Sergey. Conversations with Alexey, Daniel and Nathan have enabled me to vicariously learn how to measure microwave "photons". John Jost once taught me how to decorate a Christmas tree; since then he has imparted some wisdom on frequency metrology, and some on atomic physics. Together with Dal, Victor and Caroline have probably spent the most time with me outside the lab; it was fun to exercise an air of social normalcy with this bunch. Christophe has been an amazing sparring partner on every subject capable of being brought under scientific scrutiny.The personal space required for the pursuit of science comes through the sacrifice of many people. My family back home in India -parents, sister, grand-parents -have had to patiently wait for the brief interludes when I go home. No words can do justice to this and the very many other pleasures they have surrendered over the years for my sake. Before physics attracted me, I was charmed by someone else; I am lucky to have married her. Long time friends, mentorsAjith and Subeesh -have played pivotal roles in my being able to engage in physics; I hope to repay this enormous debt, some day.It was a privilege to have learnt from a few great teachers during my formative years. Their vision of an indelible unity in nature continues to motivate my study of physics. vii AbstractThe precision measurement of position has a long-standing tradition in physics. Cavendish's verification of the universal law of gravitation using a torsion pendulum, Perrin's confirmation of the atomic hypothesis via the precise measurement of the Brownian motion, and, the verification of the mechanical effect of electromagnetic radiation, all belong to this classical heritage. Quantum mechanics posits that the measurement of position results in an uncertain momentum; an idea developed to full maturity within the ...

show abstract

“…In other words, before a careful geometrical study, we cannot conclude that the space-times possess the space SO(3) isotropy in the geometries even though the corresponding kinematical algebras having SO(3) sub-algebra. The second purpose of the paper is to take the geometrical structure with P 2 symmetry as an example to clarify that the algebraic so(3) isotropy in [1,4] does not always imply the geometrical SO(3) space isotropy.…”

Section: Introductionmentioning

confidence: 99%

“…The third purpose of the paper is to show that there exists the geometrical structure which satisfies all three assumptions in [1] and the P oR c,l in [3,4] even after re-construction of the algebra in terms of new space and time coordinates.…”

Section: Introductionmentioning

confidence: 99%