Towards energy discretization in quantum cosmology

Area of Science:

• Cosmology
• Quantum Gravity
• Teleparallel Gravity

Background:

• The standard cosmological model faces challenges explaining early universe phenomena.
• Teleparallel gravity offers an alternative framework to general relativity.
• Quantization of gravitational fields is a key pursuit in theoretical physics.

Purpose of the Study:

• To apply a quantum cosmological model within the framework of teleparallel gravity.
• To investigate the quantization of gravitational energy density.
• To explore the implications for the early universe's expansion.

Main Methods:

• Utilized a vacuum solution within the teleparallel gravity model.
• Employed the Weyl quantization procedure to discretize gravitational energy density.
• Derived a discrete expression for gravitational energy.

Main Results:

• Successfully quantized the gravitational energy density using the Weyl procedure.
• Obtained a discrete spectrum for gravitational energy.
• Demonstrated that the quantized gravitational energy leads to an expanding empty space.

Conclusions:

• The quantum cosmological model in teleparallel gravity provides a mechanism for early universe expansion.
• Quantization of gravitational energy is a crucial factor in understanding cosmic origins.
• This approach offers new insights into the nature of spacetime and gravity.