Is this why relativity and quantum physics don't mix?

least_action
Messages
22
Reaction score
0
In one of Feynmans messenger lectures he proved that relativity implies local conservation of energy using the lagrangian (energy can't jump from one place to another). In the atom of quantum theory the electron jumps around in various discrete orbits. This seems like a contradiction.

Is this 'the' problem with unifying relativity and quantum theory? What other problems are there?
 
Physics news on Phys.org
I think it has something to do with "renormalization" which is used in Quantum Mechanics to make answers reasonable (basically), but when you try to "renormalize" a gravity meadiator (such as a Graviton) the equations fail.

Also in places at the quantum scale, but with huge gravity (like in a black hole) the equations also give infinate answers and stupid results.
 
No, all quantum therories are "relativistic" which means the same kind of Ponciare symmetry is designed in from the beginning.
 
least_action said:
In the atom of quantum theory the electron jumps around in various discrete orbits.

No, it doesn't. There no electron "orbits" in the classical sense. Instead, there are probability distributions which have different shapes for each energy state, but which overlap each other significantly. See for example

http://www.phy.davidson.edu/stuhome/cabell_f/density.html
 
jtbell said:
No, it doesn't. There no electron "orbits" in the classical sense. Instead, there are probability distributions which have different shapes for each energy state, but which overlap each other significantly. See for example

http://www.phy.davidson.edu/stuhome/cabell_f/density.html

Oh okay so there are not orbits but energy levels, Schrodinger said:

"... It reminds a physicist of quantum theory - no intermediate energies occurring between two neighbouring energy levels. ... The mutations are actually caused by a quantum jump in the gene molecule."

and it is this idea of a jump between energy levels which I think contradicts the theorem Feynman wrote about the Lagrangian.
 
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
Abstract The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses ## m_1=33.6_{-0.8}^{+1.2} M_{⊙} ## and ## m_2=32.2_{-1. 3}^{+0.8} M_{⊙}##, and small spins ##\chi_{1,2}\leq 0.26 ## (90% credibility) and negligible eccentricity ##e⁢\leq 0.03.## Postmerger data excluding the peak region are consistent with the dominant quadrupolar...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
Back
Top