Vacuum crystalline structures in field presence: the unified field versatility

Abstract

The quantum vacuum structure is essential when trying to understand its manifestations in experiments. In material sciences, its homogeneity and isotropy present cubic system properties. In this work is shown this evidence from a moving free particle relatively to the Helmholtz field definition. This represents both scalar and vector modes of a field. Its stationary states energy-location points out geometrical structures. Hence, it happens that the electromagnetic field organizes the vacuum cells as simple cubic systems; the gravitation organizes these as body-centred-cubic systems. The weak field models them as faced-centred-cubic systems and the strong field in peculiar cubic systems. The cubic lattice parameter appears proportional to the field wavelength. Those stationary states let quantizing fields according to 3-dimensions harmonic oscillators in field presence; in field absence, the vacuum is non-differentiated as the unified field is. Besides, the result analysis allows understanding qualitatively the Casimir effect origin from weak phonons associated to electrons within the field-particle duality framework. These particles become fundamental bosons at high energy physics. Owing to the space-time symmetry, the impulse quantization in time-space implies that dark-matter would only be detectable in 3-dimensions time as matter is in the real space.