Quantum physics, relativity, and complex spacetime: Towards a new synthesis

G Kaiser - arxiv preprint arxiv:0910.0352, 2009 - arxiv.org
The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …

Quantum physics, relativity and complex space-time: Towards a new synthesis

G Kaiser - North-Holland Math. Stud., 1990 - inspirehep.net
The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …

Quantized fields in complex spacetime

G Kaiser - Annals of Physics, 1987 - Elsevier
We extend to quantized fields the phase-space formalism previously developed for one-
particle relativistic quantum theory. An integral transform is derived which extends an …

Principia Geometrica Physicae

J Keller - Frontiers of Fundamental Physics: Proceedings of the …, 2006 - Springer
We show that quadratic spaces are a fundamental clue to understand the structure of
theoretical physics. Classical Physics is embedded within a 5-D flat quadratic space, 3 …

Trajectory-state theory of the Klein-Gordon field

P Holland - The European Physical Journal Plus, 2019 - epjplus.epj.org
We develop a trajectory construction of solutions to the massless wave equation in n+ 1
dimensions and hence show that the quantum state of a massive relativistic system in 3+ 1 …

Klein-Gordon oscillators, RQM and quantum time

AD Popov - arxiv preprint arxiv:2405.14349, 2024 - arxiv.org
We show that turning on the interaction of relativistic spinless particles with the vacuum of
relativistic quantum mechanics (RQM) leads to the replacement of the Klein-Gordon …

General boundary quantum field theory: Timelike hypersurfaces in the Klein-Gordon theory

R Oeckl - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
We show that the real massive Klein-Gordon theory admits a description in terms of states
on various timelike hypersurfaces and amplitudes associated with regions bounded by …

Probability in relativistic quantum mechanics and foliation of space–time

H Nikolić - International journal of modern physics A, 2007 - World Scientific
The conserved probability densities (attributed to the conserved currents derived from
relativistic wave equations) should be nonnegative and the integral of them over an entire …

Foundations of a spacetime path formalism for relativistic quantum mechanics

E Seidewitz - Journal of mathematical physics, 2006 - pubs.aip.org
Quantum field theory is the traditional solution to the problems inherent in melding quantum
mechanics with special relativity. However, it has also long been known that an alternative …

A quantum space behind simple quantum mechanics

CS Chew, OCW Kong, J Payne - Advances in High Energy …, 2017 - Wiley Online Library
In physics, experiments ultimately inform us about what constitutes a good theoretical model
of any physical concept: physical space should be no exception. The best picture of physical …