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The first step to complete physical theories is to contemplate on the axiomatic character of the principles. This principle of relativity was formulated by Galileo and used by Newton to derive the laws of motion, and later was placed by Einstein at the center of the Special Theory and the General Relativity. This work considers the general principle of relativity as an expression of the inherent characteristic of the most important quantity in physics - the energy - that states that the energy is constant and is independent of the type or speed of movement of an object. The energy of an object is expressed as one entity that equals the sum of two energy expressions with different character. One of these two terms is denoted as the exposed energy with a kinetic character and represents the magnitude of the field of an object. This new definition of the energy offers several perspectives that are valid for both the classical and relativistic physics and provides insights beyond these two as: i) it leads to a coherent and complete model that relates the energy with the momentum and the force, ii) enables to construct the lagrangian that can be used to derive the equations of motion without artifices, iii) offers an original viewpoint on the dark matter and dark energy that is coherent with recent developments. Einstein was the first to deny the separate existence of gravitation and electromagnetism and has implied that the goal of a unified theory would be to explain the existence and to calculate the properties of matter. He revolutionized the use of the principles of symmetry in deriving the physical laws. It is known that the classical and quantum domain do not overlap and one would not expect the same governing symmetry principles in both domains. To calculate the properties of matter we employ spatial parameters that are related with the energy state of an object and the force that it exhibits. The mechanism assumes the common origin of different forces at the highest energy level. These spacetime parameters can be used to derive the electric and gravitational forces through a single mechanism that respects the LT dimensional analysis using neither the electrical charge nor the gravitational constant.

It is shown that the problem of the cosmological constant is connected with the problem of emergence of quantum mechanics. Both of them are principal aspects of physics at the Planck scale. Probability amplitudes describe evolution of the harmonic oscillator non-equilibrium distributions in a thermal bath. The Planck constant ħ, the Fock space and the Schrödinger equation appear in the natural way. For massless fields it leads, in particular, to appearance of masses, and, consequently, of the cosmological constant in the gravitational equations. The path integral for the relativistic particle propagator is presented.

A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated to a minimal uncertainty in position measurements, which is encoded in deformed commutation relations. Once applied in the Heisenberg dynamics, they give effects potentially detectable in low energy experiments. For instance, an isolated harmonic oscillator becomes intrinsically nonlinear and its dynamics shows a dependence of the oscillation frequency on the amplitude, as well as the appearance of higher harmonics. Here we analyze the free decay of micro and nano-oscillators, spanning a wide range of masses, and we place upper limits to the parameters quantifying the commutator deformation.

The four-fermion gravitational interaction is induced by torsion. It gets dominating below the Planck scale. The regular, axial-axial part of this interaction by itself does not stop the gravitational compression. However, the anomalous, vector-vector interaction results in a natural way both in big bounce and in inflation.

Questions to discuss:

• If the SM with elementary Higgs field is completely confirmed with the discovery of a heavy scalar boson at LHC and Tevatron?
• Does the Higgs mass value of 126 GeV point to the need of new physics below the Planck scale?
• Do we need the next Higgs factory to solve problems with its identification?
• How can we distinguish extended Higgs sector from the standard one as well as from the composite Higgs?

If one is willing to consider the current cosmic microwave back ground temperature as a quantum gravitational effect of the evolving primordial cosmic black hole (universe that constitutes dynamic space-time and exhibits quantum behavior) automatically general theory of relativity and quantum mechanics can be combined into a ‘scale independent’ true unified model of quantum gravity. By considering the ‘Planck mass’ as the initial mass of the baby Hubble volume, past and current physical and thermal parameters of the cosmic black hole can be understood. Current rate of cosmic black hole expansion is being stopped by the microscopic quantum mechanical lengths. In this new direction authors observed 5 important quantum mechanical methods for understanding the current cosmic deceleration. To understand the ground reality of current cosmic rate of expansion, sensitivity and accuracy of current methods of estimating the magnitudes of current CMBR temperature and current Hubble constant must be improved and alternative methods must be developed. If it is true that galaxy constitutes so many stars, each star constitutes so many hydrogen atoms and light is coming from the excited electron of galactic hydrogen atom, then considering redshift as an index of ‘whole galaxy’ receding may not be reasonable. During cosmic evolution, at any time in the past, in hydrogen atom emitted photon energy was always inversely proportional to the CMBR temperature. Thus past light emitted from older galaxy's excited hydrogen atom will show redshift with reference to the current laboratory data. As cosmic time passes, in future, the absolute rate of cosmic expansion can be understood by observing the rate of increase in the magnitude of photon energy emitted from laboratory hydrogen atom. Aged super novae dimming may be due to the effect of high cosmic back ground temperature. Need of new mathematical methods & techniques, computer simulations, advanced engineering skills seem to be essential in this direction.