Possible Solution for the Gauge Hierarchy Problem and Vacuum Catastrophe

Abstract

The two important problems, namely the 'gauge hierarchy problem' or 'fine-tuning problem,' and the problem of the 'vacuum catastrophe' or the 'cosmological constant problem,' pose significant challenges to our deeper understanding of both micro and macro-level energy systems. The methods of renormalization and supersymmetry (SUSY) are applied in both cases, either to fine-tune or to theoretically cancel out the energy. In this paper, we propose that, in reality, no energy gets cancelled out, contrary to SUSY, but instead remains unchanged. We demonstrate mathematically that the energy of a quantum state remains in a particular state to maintain its full potential, thus remaining undetected. Following a dynamics of the fundamental quantum energy state, referred to as the "Like Potential Energy" (LPE) dynamics, we explain the nature of this undetectable quantum state. We have discovered that by keeping the area of the quantum phase space constant while increasing the energy of the Quantum Harmonic Oscillator (QHO), we may reach a situation where the vibration becomes extremely high, resulting in a high energy level in the QHO. However, the Quantum
Oscillatory Energy (QOE) remains unmanifested, having no discernible impact on its surroundings.
As a result, we have developed a new wave equation and a tensor using the LPE dynamics.