|Artificial Intelligence For High Energy Physics|
We explore a relativistic quantum kinematics description for d-Dimensional path planning spanning from Planck Length to across vast geographical environments and vice-versa measured in space-time interval. As notable physicists as Bohr and Feynman emphasize, the ultimate goal of delving into quantum-mechanical theory is to aid the computation of probability amplitude for some process undergone by a system. Our approach adheres to primacy of process before state in order to explore d-Dimensional path planning mechanisms through promising theories to advance computational geometry algorithms. We build up our findings by applying artificial intelligence tools to facilitate d-Dimensional exploration missions. The intent of using AI is bidirectional : to analyze big data as well as to interconnect AI tools from within as a system of equations emboldening cognitive automation between machine learning algorithms.
In quantum mechanics, the observable is an associated operator in all measurements with properties that is self adjoint, forming an orthonormal basis that span, consisting of real eigenvalues, and where for each eigenvalue, there are one more corresponding eigenvectors also known as the eigenstates.
We begin our observation with the projection operator, where one vector is projected to another spanning in N-dimension complex linear vector space—where for discrete spectra, we utilize
We ground our argument on Einstein's postulate that the laws of physics remain the same and does not affect states. We will use Lorentz Transformation to explain coordination transformations between two states, where the Lorentz factor in a space-time interval is given by :
and relativistic measure set to Compton Wavelength by
Where in relativistic kinematics, the notion of coordinate rest is negated resulting in a four vector velocity and acceleration of an orthogonal, expressed by
Where a space time covariant 4 vector is transformed by Miknkowaski Metric to lead us to explore relativistic kinematic mapping in 4 dimensional space-time