TITLE:
A First Order Wave Equation Composed of a Curved Spacetime Metric
AUTHORS:
Gary Poon
KEYWORDS:
Field Theory, Curved Spacetime, De-Sitter Space
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.2,
April
29,
2026
ABSTRACT: The ultimate quest of field theory is to pursue a fundamental law that can address both micro and macro issues, namely quantum entanglement and the inflationary universe, respectively. Here in this paper, a wave equation revealing the causality of a de-Sitter Space explains the so-called spooky action at a distance and the expansion of the universe within a single theory, quantum field theory on curved spacetime. An Astrophysical aspect of the theory is pursued at the end. Historic Background of Quantum Field Theory in Curved Spacetime: A century ago, there were two theories in physics that split the universe into aspects: the quantum theory dealing with microscopic world and the theory of general relativity dealing with macroscopic world. From the development of physics, we started with global phenomena like Newton’s gravitation law and came down to local phenomenon like particle wave duality in early twentieth century. Gravity was a well-known phenomenon since Newton’s time and reformulated by Einstein as general theory of relativity. There is no doubt that gravity expressed by the general theory of relativity coincides with the observational astronomy like gravitational wave, gravitational lensing and blackhole dynamics. At the same time, it is well tested by high energy physics that quantum mechanics is the fundamental theory for particle physics. It would be wrong to favor one over the other. Therefore I propose that the dual aspect of universe respecting both quantum and classical physics is simply expressed by one fundamental law. The appropriate candidate is Quantum Field Theory in Curved Spacetime. Working towards a unified theory for four fundamental forces, namely gravitation, electromagnetic force, strong and weak. Three out of the four, except for gravitation, can be explained by quantum mechanics. People are challenged to quantize gravity based on their mathematical skills, like gauge theory or string theory but still cannot escape the consequence of mathematical remedial technique—renormalization of the loops. They may be successful in one-loop renormalization but keep on renormalizing the subsequent loops without ending. If the theory does not make mathematical sense, it is a sign we should reconsider all the other possible ones. Here quantum field theory in curved space is studied [1]-[3].