What is infinity? In basic terms, infinity is the state of being infinite – something that goes on and on forever and has no end. To understand infinity better let’s first take a look at the light. A photon is an elementary particle, some physical entity, and in this situation, a single physical entity of light that does not experience time. It’s also a gauge boson for electromagnetism. A gauge boson is a type of particle that carries “fundamental interactions of nature, commonly called forces.”
When it comes to quantum mechanics, a theory that’s often used is perturbation. This is a set of approximation schemes that are used for describing a complicated quantum system opposed to a simpler one. It works by starting with a simple system then add a perturbing Hamiltonian to represent a weak disturbance in the system. If the disturbance is small the perturbed systems physical quantities can be expressed as corrections to the simple system. That way the complicated system can be studied using the simpler one as a reference.
“Infinity is an abstract concept describing something without any bound or larger than any number.“
As explained by Wikipedia, asymptotic expansion is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often finite, point. So, what that boils down to is that our sciences are merely fractions of the real infinite existence that’s out there. The reality is in fact infinite.
Perturbation Theory; In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known and add an additional “perturbing” Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as “corrections” to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can, therefore, be studied based on knowledge of the simpler one. Via Wikipedia
Asymptotic Expansion; In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point. Deep investigations by Dingle reveal that the divergent part of an asymptotic expansion is latently meaningful, i.e. contains information about the exact value of the expanded function. Via Wikipedia
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