1Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria
2ویانا سینٹر فار کوانٹم سائنس اینڈ ٹیکنالوجی (VCQ)، فیکلٹی آف فزکس، یونیورسٹی آف ویانا، Boltzmanngasse 5، A-1090 ویانا، آسٹریا
3Dipartimento di Fisica, La Sapienza Università di Roma, Piazzale Aldo Moro 5, Roma, Italy
4Aix-Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
5Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
6Basic Research Community for Physics e.V., Mariannenstraße 89, Leipzig, Germany
اس کاغذ کو دلچسپ لگتا ہے یا اس پر بات کرنا چاہتے ہیں؟ SciRate پر تبصرہ کریں یا چھوڑیں۔.
خلاصہ
Time at the Planck scale ($sim 10^{-44},mathrm{s}$) is an unexplored physical regime. It is widely believed that probing Planck time will remain for long an impossible task. Yet, we propose an experiment to test the discreteness of time at the Planck scale and estimate that it is not far removed from current technological capabilities.
Featured image: Spacetime view of the proposed experiment. A small mass $m$ undergoes a spin-dependent path superposition in the gravitational field of another mass $M$. The two branches accumulate a difference in phase $deltaphi$ due to the gravitational interaction. In general relativistic terms, the difference in phase is due to a difference $deltatau$ in proper times along the two trajectories: $deltaphi=frac{m}{m_P}frac{deltatau}{t_P},$ where $m_P$ and $t_P$ are the Planck mass and Planck time, respectively. If $deltatau$ can only take a finite set of values, then so does $deltaphi$. We show that, under some assumptions, there exists a range of experimental parameters that allow to detect a hypothetical granularity of time.
[سرایت مواد]
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ہے [1] G. Edward Marti, Ross B. Hutson, Akihisa Goban, Sara L. Campbell, Nicola Poli, and Jun Ye. “Imaging optical frequencies with 100 $mu$Hz precision and 1.1 $mu$m resolution”. Physical Review Letters 120, 103201 (2018). arXiv:1711.08540.
https://doi.org/10/gc5sj2
آر ایکس سی: 1711.08540
ہے [2] Garrett Wendel, Luis Martinez, and Martin Bojowald. “Physical implications of a fundamental period of time”. Physical Review Letters 124, 241301 (2020). arXiv:2005.11572.
https://doi.org/10/gm7w6s
آر ایکس سی: 2005.11572
ہے [3] Sougato Bose, Anupam Mazumdar, Gavin W. Morley, Hendrik Ulbricht, Marko Toroš, Mauro Paternostro, Andrew Geraci, Peter Barker, M. S. Kim, and Gerard Milburn. “A Spin Entanglement Witness for Quantum Gravity”. Physical Review Letters 119, 240401 (2017). arXiv:1707.06050.
https://doi.org/10/gcsb22
آر ایکس سی: 1707.06050
ہے [4] Chiara Marletto and Vlatko Vedral. “Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity”. Physical Review Letters 119, 240402 (2017). arXiv:1707.06036.
https://doi.org/10/gcsjgn
آر ایکس سی: 1707.06036
ہے [5] Ryan J. Marshman, Anupam Mazumdar, and Sougato Bose. “Locality and Entanglement in Table-Top Testing of the Quantum Nature of Linearized Gravity”. Physical Review A 101, 052110 (2020). arXiv:1907.01568.
https://doi.org/10/gm7w6z
آر ایکس سی: 1907.01568
ہے [6] Tanjung Krisnanda, Guo Yao Tham, Mauro Paternostro, and Tomasz Paterek. “Observable quantum entanglement due to gravity”. npj Quantum Information 6, 12 (2020). arXiv:1906.08808.
https://doi.org/10/ggz5q7
آر ایکس سی: 1906.08808
ہے [7] Sougato Bose. “Table-top Testing of the Quantum Nature of Gravity: Assumptions, Implications and Practicalities of a Proposal” (2020).
ہے [8] Richard Howl, Vlatko Vedral, Devang Naik, Marios Christodoulou, Carlo Rovelli, and Aditya Iyer. “Non-Gaussianity as a signature of a quantum theory of gravity”. PRX Quantum 2, 010325 (2021). arXiv:2004.01189.
https://doi.org/10/gkq6wg
آر ایکس سی: 2004.01189
ہے [9] Markus Arndt and Klaus Hornberger. “Testing the limits of quantum mechanical superpositions”. Nature Physics 10, 271–277 (2014). arXiv:1410.0270.
https://doi.org/10/f3sqz7
آر ایکس سی: 1410.0270
ہے [10] Oriol Romero-Isart, Mathieu L. Juan, Romain Quidant, and J. Ignacio Cirac. “Toward Quantum Superposition of Living Organisms”. New Journal of Physics 12, 033015 (2010). arXiv:0909.1469.
https://doi.org/10/cbr7wn
آر ایکس سی: 0909.1469
ہے [11] Sandra Eibenberger, Stefan Gerlich, Markus Arndt, Marcel Mayor, and Jens Tüxen. “Matter-wave interference with particles selected from a molecular library with masses exceeding 10000 amu”. Physical Chemistry Chemical Physics 15, 14696 (2013). arXiv:1310.8343.
https://doi.org/10/f3sqz8
آر ایکس سی: 1310.8343
ہے [12] Marios Christodoulou and Carlo Rovelli. “On the possibility of laboratory evidence for quantum superposition of geometries”. Physics Letters B 792, 64–68 (2019). arXiv:1808.05842.
https://doi.org/10/gj6ssc
آر ایکس سی: 1808.05842
ہے [13] Marios Christodoulou and Carlo Rovelli. “On the possibility of experimental detection of the discreteness of time”. Frontiers in Physics 8, 207 (2020). arXiv:1812.01542.
https://doi.org/10/gj6ssf
آر ایکس سی: 1812.01542
ہے [14] Sougato Bose and Gavin W. Morley. “Matter and spin superposition in vacuum experiment (MASSIVE)” (2018). arXiv:1810.07045.
آر ایکس سی: 1810.07045
ہے [15] Hadrien Chevalier, A. J. Paige, and M. S. Kim. “Witnessing the non-classical nature of gravity in the presence of unknown interactions”. Physical Review A 102, 022428 (2020). arXiv:2005.13922.
https://doi.org/10/ghcmzz
آر ایکس سی: 2005.13922
ہے [16] R. Colella, A. W. Overhauser, and S. A. Werner. “Observation of Gravitationally Induced Quantum Interference”. Physical Review Letters 34, 1472–1474 (1975).
https://doi.org/10/dktp8g
ہے [17] Hartmut Abele and Helmut Leeb. “Gravitation and quantum interference experiments with neutrons”. New Journal of Physics 14, 055010 (2012). arXiv:1207.2953.
https://doi.org/10/f3smc3
آر ایکس سی: 1207.2953
ہے [18] Julen S. Pedernales, Gavin W. Morley, and Martin B. Plenio. “Motional Dynamical Decoupling for Matter-Wave Interferometry”. Physical Review Letters 125, 023602 (2020). arXiv:1906.00835.
https://doi.org/10/ghcp3t
آر ایکس سی: 1906.00835
ہے [19] Thomas W. van de Kamp, Ryan J. Marshman, Sougato Bose, and Anupam Mazumdar. “Quantum Gravity Witness via Entanglement of Masses: Casimir Screening”. Physical Review A 102, 062807 (2020). arXiv:2006.06931.
https://doi.org/10/gm7w6x
آر ایکس سی: 2006.06931
ہے [20] H. Pino, J. Prat-Camps, K. Sinha, B. P. Venkatesh, and O. Romero-Isart. “On-chip quantum interference of a superconducting microsphere”. Quantum Science and Technology 3, 025001 (2018). arXiv:1603.01553.
https://doi.org/10/ghfgt3
آر ایکس سی: 1603.01553
ہے [21] National High Magnetic Field Laboratory. “Selected Scientific Publications Generated from Research Conducted in the 100 Tesla Multi-Shot Magnet”. Technical report. National High Magnetic Field Laboratory (2020). url: nationalmaglab.org/user-facilities/pulsed-field-facility/instruments-pff/100-tesla-multi-shot-magnet.
https://nationalmaglab.org/user-facilities/pulsed-field-facility/instruments-pff/100-tesla-multi-shot-magnet
ہے [22] J. D. Carrillo-Sánchez, J. M. C. Plane, W. Feng, D. Nesvorný, and D. Janches. “On the size and velocity distribution of cosmic dust particles entering the atmosphere”. Geophysical Research Letters 42, 6518–6525 (2015).
https://doi.org/10/f7pw8f
ہے [23] Matthew Dean Schwartz. “Quantum field theory and the standard model”. Cambridge University Press. New York (2014).
ہے [24] Andrea Di Biagio (2022). code: AndreaDiBiagio/TimeDiscretenessExperimentPlots.
https://github.com/AndreaDiBiagio/TimeDiscretenessExperimentPlots
ہے [25] Oriol Romero-Isart. “Quantum superposition of massive objects and collapse models”. Physical Review A 84, 052121 (2011). arXiv:1110.4495.
https://doi.org/10/b8njfn
آر ایکس سی: 1110.4495
ہے [26] Igor Pikovski, Magdalena Zych, Fabio Costa, and Caslav Brukner. “Universal decoherence due to gravitational time dilation”. Nature Physics 11, 668–672 (2015). arXiv:1311.1095.
https://doi.org/10/5ds
آر ایکس سی: 1311.1095
ہے [27] S. Bhagavantam and D. A. A. S. Narayana Rao. “Dielectric Constant of Diamond”. Nature 161, 729–729 (1948).
https://doi.org/10/c5cb9c
ہے [28] F. Nicastro, J. Kaastra, Y. Krongold, S. Borgani, E. Branchini, R. Cen, M. Dadina, C. W. Danforth, M. Elvis, F. Fiore, and others. “Observations of the Missing Baryons in the warm-hot intergalactic medium”. Nature 558, 406–409 (2018). arXiv:1806.08395.
https://doi.org/10/gkkwhr
آر ایکس سی: 1806.08395
ہے [29] Katia M. Ferrière. “The interstellar environment of our galaxy”. Reviews of Modern Physics 73, 1031–1066 (2001).
https://doi.org/10/fghhgq
ہے [30] G. Gabrielse, X. Fei, L. Orozco, R. Tjoelker, J. Haas, H. Kalinowsky, T. Trainor, and W. Kells. “Thousandfold improvement in the measured antiproton mass”. Physical Review Letters 65, 1317–1320 (1990).
https://doi.org/10/bfxv3j
ہے [31] G. Gabrielse. “Comparing the antiproton and proton, and opening the way to cold antihydrogen”. In Advances In Atomic, Molecular, and Optical Physics. Volume 45, pages 1–39. Elsevier (2001).
https://doi.org/10/g3q5
ہے [32] Konrad Zuse. “Rechnender Raum (Calculating Space)”. Schriften Zur Dataverarbeitung 1 (1969). url: philpapers.org/rec/ZUSRR.
https://philpapers.org/rec/ZUSRR
ہے [33] Ted Jacobson, Stefano Liberati, and David Mattingly. “Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints”. Annals of Physics 321, 150–196 (2006). arXiv:astro-ph/0505267.
https://doi.org/10/bgp7t5
arXiv:astro-ph/0505267
ہے [34] A. A. Abdo, M. Ackermann, M. Ajello, K. Asano, W. B. Atwood, M. Axelsson, L. Baldini, J. Ballet, G. Barbiellini, M. G. Baring, and others. “A limit on the variation of the speed of light arising from quantum gravity effects”. Nature 462, 331–334 (2009).
https://doi.org/10/dvftxs
ہے [35] Giovanni Amelino-Camelia. “Burst of support for relativity”. Nature 462, 291–292 (2009).
https://doi.org/10/dwrmk3
ہے [36] Robert J. Nemiroff, Ryan Connolly, Justin Holmes, and Alexander B. Kostinski. “Bounds on Spectral Dispersion from Fermi-Detected Gamma Ray Bursts”. Physical Review Letters 108, 231103 (2012).
https://doi.org/10/ggf4hv
ہے [37] D. P. Rideout and R. D. Sorkin. “A Classical Sequential Growth Dynamics for Causal Sets”. Physical Review D 61, 024002 (1999). arXiv:gr-qc/9904062.
https://doi.org/10/bvxwn2
arXiv:gr-qc/9904062
ہے [38] Fay Dowker. “Causal sets and the deep structure of spacetime”. In Abhay Ashtekar, editor, 100 Years of Relativity. Pages 445–464. World Scientific (2005). arXiv:gr-qc/0508109.
arXiv:gr-qc/0508109
ہے [39] Rafael D. Sorkin. “Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)” (2003). arXiv:gr-qc/0309009.
arXiv:gr-qc/0309009
ہے [40] W. Pauli. “Die allgemeinen Prinzipien der Wellenmechanik”. In H. Bethe, F. Hund, N. F. Mott, W. Pauli, A. Rubinowicz, G. Wentzel, and A. Smekal, editors, Quantentheorie. Pages 83–272. Springer Berlin Heidelberg, Berlin, Heidelberg (1933).
https://doi.org/10/g3q4
ہے [41] Eric A. Galapon. “Pauli’s Theorem and Quantum Canonical Pairs: The Consistency Of a Bounded, Self-Adjoint Time Operator Canonically Conjugate to a Hamiltonian with Non-empty Point Spectrum”. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 458, 451–472 (2002). arXiv:quant-ph/9908033.
https://doi.org/10/cd4dfw
arXiv:quant-ph/9908033
ہے [42] Carlo Rovelli and Lee Smolin. “Discreteness of area and volume in quantum gravity”. Nuclear Physics B 442, 593–619 (1995). arXiv:gr-qc/9411005.
https://doi.org/10/d9hbgk
arXiv:gr-qc/9411005
ہے [43] Bianca Dittrich and Thomas Thiemann. “Are the spectra of geometrical operators in Loop Quantum Gravity really discrete?”. Journal of Mathematical Physics 50, 012503 (2009). arXiv:0708.1721.
https://doi.org/10/ftvhfw
آر ایکس سی: 0708.1721
ہے [44] Carlo Rovelli. “Comment on “Are the spectra of geometrical operators in Loop Quantum Gravity really discrete?” by B. Dittrich and T. Thiemann” (2007). arXiv:0708.2481.
آر ایکس سی: 0708.2481
ہے [45] Carlo Rovelli and Francesca Vidotto. “Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory”. Cambridge University Press. Cambridge (2014).
ہے [46] Eugenio Bianchi. “The length operator in Loop Quantum Gravity”. Nuclear Physics B 807, 591–624 (2009). arXiv:0806.4710.
https://doi.org/10/bjt6r2
آر ایکس سی: 0806.4710
ہے [47] Albert Einstein. “Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen”. Annalen der Physik 322, 549–560 (1905).
https://doi.org/10/cbgg9j
ہے [48] R.A. Millikan. “A new modification of the cloud method of determining the elementary electrical charge and the most probable value of that charge”. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 19, 209–228 (1910).
https://doi.org/10/b2rgjz
ہے [49] R. A. Millikan. “On the Elementary Electrical Charge and the Avogadro Constant”. Physical Review 2, 109–143 (1913).
https://doi.org/10/bcbd4g
کی طرف سے حوالہ دیا گیا
[1] Simone Rijavec, Matteo Carlesso, Angelo Bassi, Vlatko Vedral, and Chiara Marletto, “Decoherence effects in non-classicality tests of gravity”, طبیعیات کا نیا جریدہ 23 4، 043040 (2021).
[2] این-کیتھرین ڈی لا ہیمیٹ، وکٹوریہ کابیل، ایسٹبن کاسٹرو-روئیز، اور Časlav Brukner، "سپر پوزیشن میں عوام کے ذریعے گرنا: غیر معینہ میٹرکس کے لیے کوانٹم ریفرنس فریم"، آر ایکس سی: 2112.11473.
[3] ماریوس کرسٹوڈولو، اینڈریا دی بیاگیو، مارکس ایسپلمیئر، Časlav Brukner، Carlo Rovelli، اور Richard Howl، "قوّت ثقل کے ذریعے پہلے اصولوں سے مقامی طور پر ثالثی میں الجھن"، آر ایکس سی: 2202.03368.
[4] Carlo Rovelli, “Considerations on Quantum Gravity Phenomenology”, کائنات 7 11, 439 (2021).
مذکورہ بالا اقتباسات سے ہیں۔ SAO/NASA ADS (آخری بار کامیابی کے ساتھ 2022-10-06 11:28:20)۔ فہرست نامکمل ہو سکتی ہے کیونکہ تمام ناشرین مناسب اور مکمل حوالہ ڈیٹا فراہم نہیں کرتے ہیں۔
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