A Nontemporal Probabilistic Approach to Special and General Relativity

Ryusho Nemoto

Jayant K. Patwardhan

Ryusho Nemoto

J. R. Croca

The author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.

T. MAHDIPOOR, Mohammad Kazem Tavassoly

Upon the importance of the preservation of nonclassical properties, in this paper we investigate the effect of temporal stability on the stability of nonclassicality features of two classes of generalized coherent states that are temporal stable and nontemporal stable. We use the Gazeau–Klauder coherent states as the temporal stable states and nonlinear coherent states as the nontemporal stable states. Among the nonclassical criteria, we pay attention to first and second-order squeezing, Mandel parameter, second-order correlation function, Wigner and Hussimi functions. In addition, the auto-correlation function of states are obtained and the quantum feature of the observed revival and collapse phenomena of the two considered classes of states are compared.

J. R. Croca, Augusto Garuccio

Fourier ontology claims that only the physically inexistent abstract harmonic plane waves do have a pure perfect frequency, therefore, a finite wave being in this ontology a sum of many harmonic plane waves cannot have a single pure frequency. The causal nonlinear approach based onto the more general wavelet analysis assumes that a finite wave may indeed have a single frequency. An experimental process is proposed for testing nonlocal and nontemporal Fourier ontology against local wavelet analysis. The experiment also checks the general validity of Heisenberg indetermination relations. The proposed experiment uses an asymmetric Mach-Zehnder interferometer and increasingly better monochromators.