Relation to Mathematics and the other Sciences

Physics relies on mathematics to provide the logical framework in which physical laws can be precisely formulated and their predictions quantified. Physical definitions, models and theories can be succinctly expressed using mathematical relations.

Whenever analytic solutions are not feasible, numerical analysis and simulations can be utilized. Thus, scientific computation is an integral part of physics, and the field of computational physics is an active area of research.

Beyond the known universe, the field of theoretical physics also deals with hypothetical issues, such as parallel universes, a multiverse, or whether the universe could have expanded as predominantly antimatter rather than matter.

In the Assayer (1622), Galileo noted that mathematics is the language in which Nature expresses laws, to be discovered by physicists. Physics is also intimately related to many other sciences, as well as applied fields like engineering and medicine. The principles of physics find applications throughout the other natural sciences as they depend on the interactions of the fundamental constituents of the natural world. Some of the phenomena studied in physics, such as the phenomenon of conservation of energy, are common to all material systems. These are often referred to as laws of physics. Others, such as superconductivity, stem from these laws, but are not laws themselves because they only appear in some systems. Physics is often said to be the "fundamental science" (chemistry is sometimes included), because each of the other disciplines (biology, chemistry, geology, material science, engineering, medicine etc.) deals with particular types of material systems that obey the laws of physics. For example, chemistry is the science of collections of matter (such as gases and liquids formed of atoms and molecules) and the processes known as chemical reactions that result in the change of chemical substances. The structure, reactivity, and properties of a chemical compound are determined by the properties of the underlying molecules, which can be described by areas of physics such as quantum mechanics (called in this case quantum chemistry), thermodynamics, and electromagnetism.


Philosophical Implications

Physics in many ways stemmed from ancient Greek philosophy. From Thales' first attempt to characterize matter, to Democritus' deduction that matter ought to reduce to an invariant state, to the Ptolemaic astronomy of a crystalline firmament upon which the stars rested, our view of the universe seemed static. By the twentieth century, this picture became less certain, and now a static universe is only one possibility in an array of possible universes.

Aristotle's early observations in natural history, and natural philosophy usually did not involve much fact checking or detailed observation, which allowed errors to come to rest in our knowledge of the world. When closer investigation overturned this picture of the world, philosophers came to study other possible forms of reasoning. The use of a priori reasoning found a natural place in scientific method as well as the use of experiments and a posteriori reasoning came to be used in Bayesian inference. By the 19th century physics was realized as a positive science and a distinct discipline separate from philosophy and the other sciences.

"Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." —Isaac Newton Study of the philosophical issues surrounding physics, the philosophy of physics can be encapsulated as empiricism, naturalism, and for some, realism. The mathematical physicist Roger Penrose has been called a Platonist by Stephen Hawking, while Penrose continues to eschew quantum mechanics as a final theory about reality.

Ørsted (1811) noted that physicists readily make deductions about nature, based on their closer familiarity with experiments about nature, whereas the mathematicians and philosophers must make do with fewer positive statements about nature.

That said, there are certain statements such as Newton's Third Law of Motion., generalized into the Principle of Equivalence. This principle is the logical basis for general relativity, whose solutions give metrics for spacetime. The success of general relativity influenced Einstein to eschew quantum theory, to which he made seminal contributions, and to eventually believe that all physical theory ought to be independent of observation. He lost his position of leadership in physics as a result of his belief in determinism rather than chance.

From : www.wikipedia.org