A New Perspective on Quantum Field Theory Revealing Possible Existence of Another Kind of Fermions Forming Dark Matter
Matej Pav\v{s}i\v{c}

TL;DR
This paper proposes a novel quantum field theory framework using Clifford algebras, suggesting the existence of new fermions that could constitute dark matter, and explores the mathematical structure underlying electric charge and particle representations.
Contribution
It introduces a Clifford algebra-based approach to quantum fields, revealing potential new fermions as dark matter candidates through quaternionic extensions.
Findings
Identification of new fermions as dark matter candidates
Extension of quantum states to quaternionic algebra
Link between extra dimensions and electric charge
Abstract
Quantum fields are considered as generators of infinite-dimensional Clifford algebra , which can be either orthogonal (in case of fermions) or symplectic (in case of bosons). A generic quantum state can be expressed as a superposition of the basis elements of , the superposition coefficients being multiparticle complex-valued wave functions. The basis elements, that are products of the generators of in the Witt basis, act as creation and annihilation operators. They create positive and negative energy states that include the bare and the Dirac vacuum as special cases. It is shown that the nonvanishing electric charge arises from an extra dimension or from doubling the number of creation and annihilation operators, which brings an extra imaginary unit into the description. A further extension is to consider the as one of the…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
