Planck length challenges non-relativistic quantum mechanics of large masses

Diósi, Lajos

doi:10.1088/1742-6596/1275/1/012007

Cited by 17 publications

(12 citation statements)

References 15 publications

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“…We use the Padmanabhan 1 st integral [1], of the form, with the third entry of Equation (1) having a Ricci scalar defined via [2] and usually the curvature ℵ is set as extremely small, with the general relativity [3] [4] ( ) [6] will have an inflaton, φ given by [7]. Leading to the inflaton which is combined into other procedures for a solution to the cosmological constant problem.…”

Section: Start With the General Relativity First Integralmentioning

confidence: 99%

How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?

Beckwith¹

2020

JHEPGC

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Using the Klauder enhanced quantization as a way to specify the cosmological constant as a baseline for the mass of a graviton, we eventually come up and then we will go to the relationship of a Planck Length to a De Broglie length in order to link how we construct a massive graviton mass, with cosmological constant and to interface that with entropy in the early universe. We then close with a reference to the possible quantum origins of e folding and inflation. This objective once achieved is connected with a possible mechanism for the creation of voids, in the later universe, using a construction of shock fronts from J. P. Onstriker, 1991 and followed up afterwards with Mukhanov's physical foundations to Cosmology book section as to indicate how variable input into self reproduction of the Universe structures may lead to void formation in the present era. A connection with Wesson's 5 dimensional cosmology is brought up in terms of a generalized uncertainty principle which may lead to variations of varying energy input into self reproducing cosmological structures which could enable non uniform structure formation and hence voids. One of the stunning results is that the figure of number of gravitons, about 10 58 , early on, is commensurate with a need for negative pressure, (middle of manuscript) which is a stunning result, partly based on Volovik and weakly interacting Bose gas model for pressure, which is completely unexpected. Note that in quantum physics, the idea statistically is that at large quantum numbers, we have an approach to classical physics results. We will do the same as to our cosmological work. This means that the

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Section: Start With the General Relativity First Integralmentioning

confidence: 99%

How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?

Beckwith¹

2020

JHEPGC

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“…Much later, and only recently, Ref. 10 proposed a special relativistic construction of conform metric uncertainty around the Minkowski metric, whose Newtonian limit confirms the uncertainty (10) in Sec.III. Introducing a perturbative conformal factor 1 + h (at |h| ≪ 1) where the uncertainties h are proportional to ℓ P l , one chooses the following relativistic invariant correlation:…”

Section: B Footprint Of Planck Scale Uncertainty?mentioning

confidence: 56%

On the conjectured gravity-related collapse rate EΔ/ℏ of massive quantum superpositions

Diósi

2022

AVS Quantum Science

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Roger Penrose and the author share the proposal that the spatial superposition |x1⟩+|x2⟩ of a massive object collapses into its localized components |x1⟩ or |x2⟩ with the characteristic time ℏ/EΔ, where EΔ is the gravitational self-energy excess of the superposition versus the localized states. Underlying arguments of such radical departure from standard quantum mechanics and different derivations of the rate equation are briefly recapitulated and discussed.

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“…One writes h into the form h = 2Φ/c 2 , anticipating that Φ plays the role of the (uncertain) Newton potential for nonrelativistic matter. The limit c → ∞ does converge, and does exactly to the expression (10).…”

Section: B Footprint Of Planck Scale Uncertainty?mentioning

confidence: 67%

Planck length challenges non-relativistic quantum mechanics of large masses

Cited by 17 publications

References 15 publications

How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?

How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?

On the conjectured gravity-related collapse rate EΔ/ℏ of massive quantum superpositions

On the conjectured gravity-related collapse rate $E_Δ/\hbar$ of massive quantum superpositions

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