Unified field theory impossible?

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SUMMARY

The discussion centers on the feasibility of a unified field theory as a "theory of everything" in physics. It asserts that due to the principles of quantum mechanics, particularly the unpredictability of quarks and subatomic particles, it is impossible to gather sufficient data to predict all physical phenomena. A valid unified field theory must not only explain existing forces but also clarify the non-existence of hypothetical forces. The conversation concludes that current theories, including string theory, are inadequate as they allow for too much flexibility and do not meet the stringent criteria for a true unified field theory.

PREREQUISITES
  • Quantum mechanics principles
  • Understanding of subatomic particles, specifically quarks
  • Familiarity with existing physics theories, including string theory
  • Knowledge of theoretical physics and mathematical modeling
NEXT STEPS
  • Research the limitations of quantum mechanics in predicting particle behavior
  • Study the criteria for a valid unified field theory
  • Examine the implications of string theory on the concept of forces
  • Explore alternative theories to unified field theory in contemporary physics
USEFUL FOR

Physicists, theoretical researchers, and students interested in advanced physics concepts, particularly those exploring the limitations and possibilities of unified field theories.

mazz
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My question is, is it still widely believed that an all encompassing "theory of everything" exists for the universe? It seems to me that due to quantum mechanics it would be impossible to actually observe enough data to predict precisely the behavior of quarks and other subatomic particles, one could only approach such an equation. Is it really possible?
 
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The question about a "theory of everything" is if we can ever find the right equations. No one believes that we could ever observe enough data to actually predict everything! And in fact a theory that predicts that there are things that we can't predict would still be a valid theory of everything, as long as it was correct about the unpredictability!
 
Unified field theories will not be attained by simply merging present theories.

More likely, a unified field theory would have to encompass a system of equations for which present physics equations are mere approximations bearing only a spot of resemblance.

Also important for a unified field theory is that it should not be capable of predicting the existence (or even merely allowing the theoretical existence) of a physical force for an object which is not physically possible. In other words, not only must a unified field theory explain what forces do exist, it must also explain why other imagined forces do not exist. For this reason, string theory, which doesn't really forbid any particular reality, as it is too "flexible", is not going to be this unified field theory people have longed for.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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