how is business connected to it?
Business Engineering deals with the relationship between professional engineering, IT systems, business administration and change management.
Engineering
Business Engineering deals with the relationship between professional engineering, IT systems, business administration and change management. 
what is referred to as redshift? It is a phenomenon where electromagnetic radiation (such as light) from an object undergoes an increase in wavelength. whose equations are related to this mentioned radiation? UNANSWERABLE what are the fields connected to this radiation? Physics. can you mention any of the core theories of this branch of science? The theory of classical mechanics and Chaos theory. how can you differentiate between its classical and modern form? The laws of classical physics accurately describe systems whose important length scales are greater than the atomic scale and whose motions are much slower than the speed of light while modern physics is concerned with the behavior of matter and energy under extreme conditions or on a very large or very small scale. where is it applied? Geology or electrical engineering. what are the branches of this last one? broadcast engineering, electrical circuits, generators, motors, electromagnetic/electromechanical devices, electronic devices, electronic circuits, optical fibers, optoelectronic devices, computer systems, telecommunications, instrumentation, control systems, and electronics.
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Engineering [SEP] Business
Business Engineering deals with the relationship between professional engineering, IT systems, business administration and change management. Engineering management or "Management engineering" is a specialized field of management concerned with engineering practice or the engineering industry sector. The demand for management-focused engineers (or from the opposite perspective, managers with an understanding of engineering), has resulted in the development of specialized engineering management degrees that develop the knowledge and skills needed for these roles. During an engineering management course, students will develop industrial engineering skills, knowledge, and expertise, alongside knowledge of business administration, management techniques, and strategic thinking. Engineers specializing in change management must have in-depth knowledge of the application of industrial and organizational psychology principles and methods.