Understanding the True Quantum Vacuum and Resolving the Zero-Point Energy: Vacuum Catastrophe Paradox
Abstract
Jau Tang
Conventional quantum field theory (QFT) models the vacuum as an infinite collection of independent simple harmonic oscillators defined on continuous spacetime. While effective perturbatively, this construction is fundamentally inconsistent: it relies on non-relativistic canonical commutation relations, violates Lorentz covariance at the operator level, and produces a divergent zero-point energy. When coupled to gravity, this leads to the vacuum energy catastrophe, in which theoretical predictions exceed cosmological observations by more than 120 orders of magnitude. In this work, we present an alternative formulation of the quantum vacuum based on a discrete spacetime lattice endowed with intrinsic algebraic structure. Quantum dynamics are constructed from finite, unitary lattice displacement operators rather than imposed canonical commutators. The standard QFT in 4D spacetime assumes a 1D continuous internal degree of freedom with simple harmonic oscillations. In contrast, our model considers 1D lattice internal degrees of freedom in a continuous 4D spacetime. The internal degree of freedom is essential in the real physical world; all particles must have internal energy, and without such an extra degree of freedom for energy or mass, an empty 4D spacetime is like a void structural frame that contains no physical entities or information. The vacuum is defined algebraically through a symmetric condition that eliminates zero-point energy exactly, without normal ordering or renormalization. Therefore, this model resolves the vacuum catastrophe paradox.
