Research Aspects

“I must have seemed an Ostrich who puts his feet on the
sand of relativity so as to support the wicked quanta”

Relativization of quantum theory may be carried out in all Simple, Special and General schemes of relativization. In Simple Quantum Relativity we propose observeability of quantum objects by means of relative observation by quantum frames of reference Q and Q'. These frames are simply interpreted: each particle in a quantum scattering system is a quantum frame of reference. Its axioms and analysization is carefully deduced. In Special Quantum Relativity we describe relativistic quantum objects by Four-Schrödinger wave defined in four-dimensional Hilbert Space under proper time formalism. Simple Quantum Relativity is further special relativized in this concern. In General Quantum Relativity we describe fields and matter by four-fields under proper time formalism. We further deduce Schrödinger General Relativity or Schrödinger Quantum Gravity to formulate further aspects. Moreover, I deduce Universal Quantum Relativity to describe everything as relativistic and quantum object even at zero velocity and at large quantum numbers for the only sake of our knowledgeability of nature at this extend. Under the epistemological axiomation of universal quantum relativity every physical deduction, for instant, Hilbert Space, Configuration space, proper time, operators and coordinates, and so on, are considered relatively transformed under quantum reference frame prediction. Here is a draft on this prediction.

Furthermore, I am generalizing entire Einsteinian physics by the generalization of space-time geometry in the same way as of the generalization of coordination. I generalize Minkovskian geometry, Lorentz transformation, Poincaré space-time group regularization and beyond in this concern. However, in 21st century physics we will be convinced in the adoption of parallel geometries of Minkovskian, parallel transformations of Lorentz and parallel space-time group regularizations of Poincaré in other coordination under the generalized analysis as a reduction of it. Such a formulation is a further step of my present research which would lead towards the ‘two-dimensional’ physics. Here is a short paper on this prediction.

Main Past Research

Quantum theory has been developed in the perspective of generalized theoretical physics but has yet remained a non-generalized formulation. An effort to generalize quantum theory was attempted by allowing quantum-wave to be a function of generalized coordinates and time in my first paper A Theoretical Study of Psi-Waves submitted to International Journal of Theoretical Physics in 2004. It was further repeatedly predicted in the further papers as the resulting formulations of such a generalizing allowance. It evolved a way for predicting Lagrangean (operator) in the quantum theory and several further generalized theoretical establishments that paved a way towards formulating a generalized quantum theory.

A way for generalizing and advancing quantum theory could be achieved by using Strict Mathematics (P. A. M. Dirac) rather than simple mathematics, as in order to distinguish quantum theory independent of the classical theory. Quantum theory is a theory of objects regarding their particle-wave nature and the quantum discreteness (Nature is proceeded by leaps and bounds), while classical theory is a theory of objects regarding the notion of their state (Rest and motion: Inertia, Galileo Galilei). Quantum theory also deals with the notion of state using strict mathematics, but this is non-peculiar to that of classical theory (as it deals with state vectors rather than characteristics of motion). Thus, quantum theory may be reformulated independently from the classical theory, as a universal theory describing all things. Naturally all theories could be quantized (for instance: Relativity, Gravity, Cosmology…). It does show that quantum theory is genuinely a universal theory, and other theories may be quantized and regarded its parts. This dream may be achieved by regularizing and merging all theories into the universal quantum theory using strict mathematics. This has been a most desired goal of my past research.