General relativity and cosmology derived from principle of maximum power or force

Abstract

The field equations of general relativity are shown to derive from the existence of a limit force or of a limit power in nature. The limits have the value of c^4/4G and c^5/4G. The proof makes use of a result by Jacobson. All known experimental data is consistent with the limits. Applied to the universe, the limits predict its darkness at night and the observed scale factor. Some experimental tests of the limits are proposed. The main counter-arguments and paradoxes are discussed, such as the transformation under boosts, the force felt at a black hole horizon, the mountain problem, and the contrast to scalar--tensor theories of gravitation. The resolution of the paradoxes also clarifies why the maximum force and the maximum power have remained hidden for so long. The derivation of the field equations shows that the maximum force or power plays the same role for general relativity as the maximum speed plays for special relativity.

24 pages, 1 figure, LaTeX, published version

Cited by in corpus (23)

• GUP-Corrected Black Hole Thermodynamics and the Maximum Force Conjecture
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Are Black Holes Springy?
• Abolishing the maximum tension principle
• Tests For Maximum Force and Maximum Power
• Maximum force and cosmic censorship
• Geometrical Applications of Split Octonions
• Comment on "Maximum force and cosmic censorship"
• Reconsidering maximum luminosity
• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• Varying constants entropic--$\Lambda$CDM cosmology
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• From maximum force to the field equations of general relativity -- and implications
• Deducing the three gauge interactions from the three Reidemeister moves
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• From maximum force to physics in 9 lines and towards relativistic quantum gravity
• Testing a Conjecture On Quantum Chromodynamics
• Hawking Temperature and the Inverse-Radius Scale of the Horizon
• On the limiting energy of the collision of elementary particles close to horizon of the rotating black hole
• Maximal acceleration and black hole evaporation
• Black Holes, Complex Curves, and Graph Theory: Revising a Conjecture by Kasner
• Uncertainty Principles and Maximum Entropic Force