Gauging Newton's law

Gauging Newton's Law

We derive both Lagrangian and Hamiltonian mechanics as gauge theories of Newtonian mechanics. Systematic development of the distinct symmetries of dynamics and measurement suggest that gauge theory may be motivated as a reconciliation of dynamics with measurement. Applying this principle to Newton’s law with the simplest measurement theory leads to Lagrangian mechanics, while use of conformal m...

Using Globular Clusters to Test Newtons Law of Gravity

New measurements of the velocity dispersion of the globular cluster ω Centauri allow to trace its gravitational potential down to an acceleration of 8 × 10 cm s. It is found that the dispersion profile remains flat well inside the tidal radius as soon as the acceleration of gravity approaches a0, a result that finds its simplest explanation within the contest of MOND. A similar behavior is obse...

Newtons levitation theorem and photoacoustic integral geometry

Two subjects are addressed. A series of mass distributions is explicitly presented, that generate zero gravitation …eld in an open set in E. Second, an explicit reconstruction formula in E from data of spherical means with centers in an algebraic set. For both constructions, the same geometric method is applied based on properties of a special class of polynomials. Key words oscillatory set hyp...

Quantum gauging from classical gauging of nonlinear algebras.

We extend our previous theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rules of the gauge fields and currents which additively renormalize the ...

Pulse-Gauging