Quantum Mechanics Emerges from Information Theory Applied to Causal Horizons

Lee, Jae-Weon

doi:10.1007/s10701-010-9514-3

Cited by 19 publications

(44 citation statements)

References 30 publications

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“…Also questions relating to how pre and post Planckian geometries evolve can be answered by a comparison of how entropy, in flat space geometry is linked with quantum mechanics [19] (Lee, 2010). Once Equation (12) , Planckian era generated gravitational wave…”

Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

“…Lee's paper [19] ( Lee, 2010) gives the details of information theory transfer of information from initially curved space geometry to flat space. When one gets to flat space, then, by Equation (13) one then has a release of relic GW.…”

Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

“…When one gets to flat space, then, by Equation (13) one then has a release of relic GW. The readers are referred to appendix A summarizing the relevant aspects of [19] (Lee, 2010) in connecting space time geometry (initially curved space, of low initial degrees of freedom) to Rindler geometry for the flat space regime occurring when degrees of freedom approach a maxima, initially from t > 0 s up to about t < 1 s as outlined in an argument given in Equation (14). One of the primary results is A. W. Beckwith Journal of High Energy Physics, Gravitation and Cosmology reconciling the difference in degrees of freedom versus a discussion of dimensions.…”

Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

“…Appendix A: Highlights of J.-W. Lee's Paper [19] The following formulation is to highlight how entropy generation blends in with quantum mechanics, and how the breakdown of some of the assumptions used in Lee's paper coincide with the growth of degrees of freedom. What is crucial to Lee's formulation, is Rindler geometry, not the curved space formulation of initial universe conditions.…”

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confidence: 99%

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The Transition from Pre-Octonionic to Octonionic Gravity and How It May Be Pertinent to a Re-Do of the HUP for Metric Tensors

Beckwith¹

2017

JHEPGC

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The quantum gravity problem that the notion of a quantum state, representing the structure of space-time at some instant, and the notion of the evolution of the state, does not get traction, since there are no real "instants", is avoided by having initial Octonionic geometry embedded in a larger, nonlinear "pilot model" (semi classical) embedding structure. The Penrose suggestion of re-cycled space time avoiding a "big crunch" is picked as the embedding structure, so as to avoid the "instants" of time issue. Getting Octionic gravity as embedded in a larger, Pilot theory embedding structure may restore Quantum Gravity to its rightful place in early cosmology without the complication of then afterwards "Schrodinger equation" states of the universe, and the transformation of Octonionic gravity to existing space-time is explored via its possible linkage to a new version of the HUP involving metric tensors. We conclude with how specific properties of Octonion numbers algebra influence the structure and behavior of the early-cosmology model. This last point is raised in Section 14, and is akin to a phase transition from Pre-Octonionic geometry, in pre-Planckian space-time, to Octonionic geometry in Planckian space-time. A simple phase transition is alluded to; making this clear is as simple as realizing that Pre-Octonionic is for Pre-Planckian Space-time and Octonionic is for Planckian Space-time. We state that the Standard Model of physics occurs during Planckian Space-time. We also argue that the Standard Model does not apply to Pre Planckian Space-time. This is commensurate with the Octonion number system NOT applying in pre-Planckian spacetime, but applying in Plankian space-time. And the last line of Equation (54) gives a minimum time step in pre-Planckian space-time when we do NOT have the Standard Model of physics, or Octonionic Geometry.

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Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

Section: Discussion Of the Geometry Alteration Due To The Evolution Fmentioning

confidence: 99%

mentioning

confidence: 99%

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The Transition from Pre-Octonionic to Octonionic Gravity and How It May Be Pertinent to a Re-Do of the HUP for Metric Tensors

Beckwith¹

2017

JHEPGC

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“…Note that our solution is more than a simple transformation of one problem into another one, because the formalism we used here is based not on the conventional QFT but on the holographic principle that could allow a reformulation of gravity and quantum mechanics in terms of thermodynamics as recently suggested by some authors [17,48,53]. Therefore, there is interesting possibility that these thermodynamic approaches could open a new route to understanding not only dark energy but also the unification of quantum mechanics and gravity in the future.…”

Section: P Hmentioning

confidence: 99%

Zero cosmological constant and nonzero dark energy from the holographic principle

Lee

2013

Journal of the Korean Physical Society

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It is shown that the first law of thermodynamics and the holographic principle applied to an arbitrary large cosmic causal horizon naturally demand the zero cosmological constant and non-zero dynamical dark energy in the form of the holographic dark energy. Semiclassical analysis shows that the holographic dark energy has a parameter d = 1 and an equation of state comparable to current observational data, if the entropy of the horizon saturates the Bekenstein-Hawking bound. This result indicates that quantum field theory should be modified at large scale to explain dark energy. The relations among dark energy, quantum vacuum energy and entropic gravity are also discussed. * scikid@jwu.ac.kr

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On the Origin of Entropic Gravity and Inertia

Lee

2012

Found Phys

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It was recently suggested that quantum field theory is not fundamental but emerges from the loss of phase space information about matter crossing causal horizons. Possible connections between this formalism and Verlinde's entropic gravity and Jacobson's thermodynamic gravity are proposed. The holographic screen in Verlinde's formalism can be identified as local Rindler horizons and its entropy as that of the bulk fields beyond the horizons. This naturally resolves some issues on entropic gravity. The quantum fluctuation of the fields is the origin of the thermodynamic nature of entropic gravity. It is also suggested that inertia is related to dragging Rindler horizons.Comment: 9 pages, revtex4-1, 3 figures, accepted for publication in Foundations of Physic

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Quantum Mechanics Emerges from Information Theory Applied to Causal Horizons

Cited by 19 publications

References 30 publications

The Transition from Pre-Octonionic to Octonionic Gravity and How It May Be Pertinent to a Re-Do of the HUP for Metric Tensors

The Transition from Pre-Octonionic to Octonionic Gravity and How It May Be Pertinent to a Re-Do of the HUP for Metric Tensors

Zero cosmological constant and nonzero dark energy from the holographic principle

On the Origin of Entropic Gravity and Inertia

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