Expert NonExpert

 "<" is less interesting than. Beginning: Statistical Mechanics < Classical Mechanics < Quantum Mechanics. Ending: Quantum Mechanics < Classical Mechanics < Statistical Mechanics.

Mathematics seems difficult and complicated.  Study Math. Break it down.  See the underlying simplicity.  Explain math. Be thanked.  ******** Philosophy seems difficult and complicated.  Study philosophy.  Break it down.  See the underlying simplicity.  Explain philosophy. Be told you're an idiot.   

When taking the classical limit of GR a constant is introduced in order to get the classical equation. I find that sketchy.   I'm interested in this process of deriving the classical result from the more general theory.  And why can't you derive QM from CM? If QM results from particles being small then why can't we just analyze what happens classically and all the measuring difficulties?  There is no notion of "small" in CM. But that could be added. 

Textbooks: Riley. Mathematical Methods. Harley. Differential Forms Schutz. Geometrical Methods Morgan. Real Analysis Pinter. Abstract Algebra  Spivak. Calculus on Manifolds The Fun Stuff: Proofs from the Book The Skeleton Key of Mathematics Complex Variables Demystified  

The Minimum: Stenger. Comprehensible Cosmos (esp. the Appendices). Susskind. The Theoretical Minimum. Books 1-3. Newtonian, Quantum, and Field Theory.  Fermi. Thermodynamics  Schrodinger. Statistical Thermodynamics Reichenbach. The Direction of Time Reichenbach. The Philosophy of Space And Time Einstein. The Meaning of Relativity   Dirac. General Relativity Dirac. Principles of QM. Dirac. Directions in Physics Longair. Theoretical Concepts in Physics McWeeny. Quantum Mechanics Pauling. General Chemistry The Textbooks: Goodstein. Classic Mechanics Griffiths. Electrodynamics Griffths. Quantum Mechanics Pathria. Statistical Mechanics Ray D'Invernio. Relativity Walecka. General Relativity Ryder. QFT The Fun Stuff: Penrose. The Road to Reality / Cycles of Time. The Dreams that Stuff is Made of.  Pask. Magnificient Principia Mach. Mechanics Zee. Einstein Gravity Zee. Group Theory Everything by Paul Nahin.  Relativity Demystified QFT Demystified String Theory Demy...

  The Slinky can be modeled as an n-body problem consisting of n coupled masses connected by a springs that obey Hooke’s Law. This model can be further refined by taking the continuum limit where n goes to infinity becomes the wave equation dy²/dt² = b dy² /dx². The same math underlies Quantum Field Theory. Resources: Coupled Oscillators Generalization to n coupled harmonic oscillators The Continuum Limit The Falling Slinky