• Corpus ID: 16169404

Fundamental Physical Constants and the Principle of Parametric Incompleteness

  title={Fundamental Physical Constants and the Principle of Parametric Incompleteness},
  author={S. S. Stepanov},
  journal={arXiv: General Physics},
  • S. Stepanov
  • Published 7 September 1999
  • Physics
  • arXiv: General Physics
The principle which allows to construct new physical theories on the basis of classical mechanics by reduction of the number of its axiom without engaging new postulates is formulated. The arising incompleteness of theory manifests itself in terms of theoretically undefinable fundamental physical constants $\hbar$ and c. As an example we built up a parametric generalization of relativistic theory, where the Hubble Law and the dependence of light velocity on time are obtained. 
On simplified axiomatic foundations of special relativity
Year 2010 marks the 100-th anniversary since the paper by Ignatowsky was published that was devoted to the axiomatic analysis of the special theory of relativity. Despite such a long history, the
Rigidity and Parallelism in the spacetime
The effect of the linear-fractional transformations on the parallel lines in the spacetime has been studied. Fock- Lorentz transformations maps a line to a line, from which one can obtain the
Generalized relativistic kinematics
We propose a method for deforming an extended Galilei algebra that leads to a nonstandard realization of the Poincaré group with the Fock-Lorentz linear fractional transformations. The invariant
Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension
We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses, etc.), constants of
Cosmological contraction of the atomic space-time scale
Quantum mechanical effects related to the recently developed projective theory of relativity are considered. It is shown that at cosmological time intervals the light velocity increases and the
The varying speed of light theories have been recently proposed to solve the standard model problems and anomalies in the ultra high energy cosmic rays. These theories try to formulate a new
A Final Cure to the Tribulations of the Vacuum in Quantum Theory
Quantum Field Theory seems to be of late anything but unraveling, apparently shifting from crisis to crisis. Undeniably, there seems to be running, for many different reasons, a rampant discomfort
0 31 20 07 v 2 8 D ec 2 00 3 Comments on varying speed of light theories
The varying speed of light theories have been recently proposed to solve the standard model problems and anomalies in the ultra high energy cosmic rays. These theories try to formulate a new


Deduction of the general Lorentz transformations from a set of necessary assumptions
Since Einstein’s first publication on relativity many papers have been published on the logical derivation of the Lorentz transformations, but apparently without any conclusiveness on the subject
Lorentz transformations from the first postulate
We present in this paper a derivation of the Lorentz transformation by invoking the principle of relativity alone, without resorting to the a priori assumption of the existence of a universal
Axiomatic approach to the nonassociative group of relativistic velocities
The bizarre and counterintuitive noncommutativity and nonassociativity of the relativistic composition of noncollinear velocities is attributed to the presence of the Thomas rotation. The Thomas
Relativity without light
The relativistic addition law for parallel velocities is derived directly from the principle of relativity and a few simple assumptions of smoothness and symmetry, without making use of the principle
The Principles of Quantum Mechanics
IT is now twenty years since the theory of quantum mechanics was founded, and not much less since the first edition of Dirac's book was published. Ever since, it has been a classic of scientific
Spatial variations of fundamental constants
We show that observational limits on the possible time variation of constants of Nature are significantly affected by allowing for both space and time variation. Bekenstein's generalisation of
Noninvariant one-way velocity of light
After discussing in the first five sections the meaning and the difficulties of the principle of relativity we present a new sel of spacetime transformations between inertial systems (“inertial”
Invariant speed in special relativity
A simple proof is given that the electromagnetic phenomena are not intrinsic to special relativity as the second postulate tends to suggest. (AIP)
Solving the flatness and quasi-flatness problems in Brans-Dicke cosmologies with a varying light speed
We define the flatness and quasi-flatness problems in cosmological models. We seek solutions to both problems in homogeneous and isotropic Brans-Dicke cosmologies with a varying speed of light. We
A Time varying speed of light as a solution to cosmological puzzles
We consider the cosmological implications of light travelling faster in the early Universe. We propose a prescription for deriving corrections to the cosmological evolution equations while the speed