This paper proposes a unified theoretical framework—Energy-Bidirectional Emergence Theory (EBET)—founded on the underlying logic of energy breakage-compensation. By constructing the core wave equation and the ultimate equation, this framework achieves natural compatibility with microscale quantum mechanics, mesoscale gauge field theory, and macroscale general relativity, thereby providing a concise and self-consistent new approach for the research on quantum gravity unification. The core contents are as follows: First, based on two fundamental postulates that the cosmic energy base is finite and unbounded and energy breakage and compensation exist universally, the core breakage-compensation wave equation of EBET is derived, and the conjugate positive and negative energy variables are introduced to describe the evolutionary laws of energy. Second, a unified complex variable of the energy base is constructed, and the eight corollary constraints are integrated to obtain the ultimate wave equation of EBET, which realizes the mathematical self-consistency of the theoretical framework. Third, through physical approximations at different scales, it is verified that the EBET equations can be reduced to the Schrödinger equation (microscale), the Yang-Mills equation (mesoscale), and the Einstein field equation (macroscale), respectively, exhibiting the characteristic of multi-scale compatibility.
Ran Chen (Wed,) studied this question.