Esoteric Other Worlds

In physics, a tachyonic field, or simply tachyon, is a quantum field with an imaginary mass.^[1] Although tachyonic particles (particles that move faster than light) are a purely hypothetical concept that violate a number of essential physical principles, at least one field with imaginary mass, the Higgs field, is believed to exist. Under no circumstances do any excitations of tachyonic fields ever propagate faster than light—the presence or absence of a tachyonic (imaginary) mass has no effect on the maximum velocity of signals, and so unlike faster-than-light particles there is no violation of causality.^[2] Tachyonic fields play an important role in physics^[3]^[4]^[5] and are discussed in popular books.^[1]^[6]

The term "tachyon" was coined by Gerald Feinberg in a 1967 paper^[7] that studied quantum fields with imaginary mass. Feinberg believed such fields permitted faster than light propagation, but it was soon realized that this was not the case.^[2] Instead, the imaginary mass creates an instability: any configuration in which one or more field excitations are tachyonic will spontaneously decay, and the resulting configuration contains no physical tachyons. This process is known as tachyon condensation. A famous example is the condensation of the Higgs boson in the Standard Model of particle physics.

In modern physics, all fundamental particles are regarded as localized excitations of fields. Tachyons are unusual because the instability prevents any such localized excitations from existing. Any localized perturbation, no matter how small, starts an exponentially growing cascade that strongly affects physics everywhere inside the future light cone of the perturbation.^[2]

Interpretation[edit]

Overview of tachyonic condensation[edit]

Although the notion of a tachyonic imaginary mass might seem troubling because there is no classical interpretation of an imaginary mass, the mass is not quantized. Rather, the scalar field is; even for tachyonic quantum fields, the field operators at spacelike separated points still commute (or anticommute), thus preserving causality. Therefore, information still does not propagate faster than light,^[8] and solutions grow exponentially, but not superluminally (there is no violation of causality).

The "imaginary mass" really means that the system becomes unstable. The zero value field is at a local maximum rather than a local minimum of its potential energy, much like a ball at the top of a hill. A very small impulse (which will always happen due to quantum fluctuations) will lead the field to roll down with exponentially increasing amplitudes toward the local minimum. In this way, tachyon condensation drives a physical system that has reached a local limit and might naively be expected to produce physical tachyons, to an alternative stable state where no physical tachyons exist. Once the tachyonic field reaches the minimum of the potential, its quanta are not tachyons any more but rather are ordinary particles with a positive mass-squared, such as the Higgs boson.^[9]

Physical interpretation of a tachyonic field and signal propagation[edit]

There is a simple mechanical analogy that illustrates that tachyonic fields do not propagate faster than light, why they represent instabilities, and helps explain the meaning of imaginary mass (the mass squared being negative).^[2]

Consider a long line of pendulums, all pointing straight down. The mass on the end of each pendulum is connected to the masses of its two neighbors by springs. Wiggling one of the pendulums will create two ripples that propagate in both directions down the line. As the ripple passes, each pendulum in its turn oscillates a few times about the straight down position. The speed of propagation of these ripples is determined in a simple way by the tension of the springs and the inertial mass of the pendulum weights. Formally, these parameters can be chosen so that the propagation speed is the speed of light. In the limit of an infinite density of closely spaced pendulums, this model becomes identical to a relativistic field theory, where the ripples are the analog of particles. Displacing the pendulums from pointing straight down requires positive energy, which indicates that the squared mass of those particles is positive.

Now consider an initial condition where at time t=0, all the pendulums are pointing straight up. Clearly this is unstable, but at least in classical physics one can imagine that they are so carefully balanced they will remain pointing straight up indefinitely so long as they are not perturbed. Wiggling one of the upside-down pendulums will have a very different effect from before. The speed of propagation of the effects of the wiggle is identical to what it was before, since neither the spring tension nor the inertial mass have changed. However, the effects on the pendulums affected by the perturbation are dramatically different. Those pendulums that feel the effects of the perturbation will begin to topple over, and will pick up speed exponentially. Indeed, it is easy to show that any localized perturbation kicks off an exponentially growing instability that affects everything within its future "ripple cone" (a region of size equal to time multiplied by the ripple propagation speed). In the limit of infinite pendulum density, this model is a tachyonic field theory.

Importance in physics[edit]

The phenomenon of spontaneous symmetry breaking, which is closely related to tachyon condensation, plays a central part in many aspects of theoretical physics, including the Ginzburg–Landau and BCS theories of superconductivity.

Other examples include the inflaton field in certain models of cosmic inflation (such as new inflation^[10]^[11]), and the tachyon of bosonic string theory.^[6]^[12]^[13]

Condensation[edit]

In quantum field theory, a tachyon is a quantum of a field—usually a scalar field—whose squared mass is negative, and is used to describe spontaneous symmetry breaking: The existence of such a field implies the instability of the field vacuum; the field is at a local maximum rather than a local minimum of its potential energy, much like a ball at the top of a hill. A very small impulse (which will always happen due to quantum fluctuations) will lead the field (ball) to roll down with exponentially increasing amplitudes: it will induce tachyon condensation. Once the tachyonic field reaches the minimum of the potential, its quanta are not tachyons any more but rather have a positive mass-squared. The Higgs boson of the standard model of particle physics is an example.^[9]

Technically, the squared mass is the second derivative of the effective potential. For a tachyonic field the second derivative is negative, meaning that the effective potential is at a local maximum rather than a local minimum. Therefore, this situation is unstable and the field will roll down the potential.

Because a tachyon's squared mass is negative, it formally has an imaginary mass. This is a special case of the general rule, where unstable massive particles are formally described as having a complex mass, with the real part being their mass in usual sense, and the imaginary part being the decay rate in natural units.^[9]

However, in quantum field theory, a particle (a "one-particle state") is roughly defined as a state which is constant over time; i.e., an eigenvalue of the Hamiltonian. An unstable particle is a state which is only approximately constant over time; If it exists long enough to be measured, it can be formally described as having a complex mass, with the real part of the mass greater than its imaginary part. If both parts are of the same magnitude, this is interpreted as a resonance appearing in a scattering process rather than particle, as it is considered not to exist long enough to be measured independently of the scattering process. In the case of a tachyon the real part of the mass is zero, and hence no concept of a particle can be attributed to it.

Even for tachyonic quantum fields, the field operators at space-like separated points still commute (or anticommute), thus preserving the principle of causality. For closely related reasons, the maximum velocity of signals sent with a tachyonic field is strictly bounded from above by the speed of light.^[2] Therefore, information never moves faster than light regardless of the presence or absence of tachyonic fields.

Examples for tachyonic fields are all cases of spontaneous symmetry breaking. In condensed matter physics a notable example is ferromagnetism; in particle physics the best known example is the Higgs mechanism in the standard model.

Tachyons in string theory[edit]

In string theory, tachyons have the same interpretation as in quantum field theory. However, string theory can, at least, in principle, not only describe the physics of tachyonic fields, but also predict whether such fields appear.

Tachyonic fields indeed arise in many versions of string theory. In general, string theory states that what we see as "particles" (electrons, photons, gravitons and so forth) are actually different vibrational states of the same underlying string. The mass of the particle can be deduced from the vibrations which the string exhibits; roughly speaking, the mass depends upon the "note" which the string sounds. Tachyons frequently appear in the spectrum of permissible string states, in the sense that some states have negative mass-squared, and therefore, imaginary mass. If the tachyon appears as a vibrational mode of an open string, this signals an instability of the underlying D-brane system to which the string is attached.^[14] The system will then decay to a state of closed strings and/or stable D-branes. If the tachyon is a closed string vibrational mode, this indicates an instability in spacetime itself. Generally, it is not known (or theorized) what this system will decay to. However, if the closed string tachyon is localized around a spacetime singularity, the endpoint of the decay process will often have the singularity resolved.

References[edit]

^ Jump up to:^a ^b Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions, p.286: "People initially thought of tachyons as particles travelling faster than the speed of light...But we now know that a tachyon indicates an instability in a theory that contains it. Regrettably for science fiction fans, tachyons are not real physical particles that appear in nature."
^ Jump up to:^a ^b ^c ^d ^e Aharonov, Y.; Komar, A.; Susskind, L. (1969). "Superluminal Behavior, Causality, and Instability". Phys. Rev. American Physical Society. 182 (5): 1400–1403. Bibcode:1969PhRv..182.1400A. doi:10.1103/PhysRev.182.1400.
^ Sen, Ashoke (April 2002). "Rolling Tachyon". J. High Energy Phys. 2002 (204): 048. arXiv:hep-th/0203211. Bibcode:2002JHEP...04..048S. doi:10.1088/1126-6708/2002/04/048. S2CID 12023565.
^ Gibbons, G. W. (June 2002). "Cosmological evolution of the rolling tachyon". Phys. Lett. B. 537 (1–2): 1–4. arXiv:hep-th/0204008. Bibcode:2002PhLB..537....1G. doi:10.1016/S0370-2693(02)01881-6. S2CID 119487619.
^ Kutasov, David; Marino, Marcos & Moore, Gregory W. (2000). "Some exact results on tachyon condensation in string field theory". JHEP. 2000 (10): 045. arXiv:hep-th/0009148. Bibcode:2000JHEP...10..045K. doi:10.1088/1126-6708/2000/10/045. S2CID 15664546.
^ Jump up to:^a ^b Brian Greene, The Elegant Universe, Vintage Books (2000)
^ Feinberg, G. (1967). "Possibility of Faster-Than-Light Particles". Physical Review. 159(5): 1089–1105. Bibcode:1967PhRv..159.1089F. doi:10.1103/PhysRev.159.1089.
^ Feinberg, Gerald (1967). "Possibility of Faster-Than-Light Particles". Physical Review. 159 (5): 1089–1105. Bibcode:1967PhRv..159.1089F. doi:10.1103/PhysRev.159.1089.
^ Jump up to:^a ^b ^c Peskin, M. E.; Schroeder, D. V. (1995). An Introduction to Quantum Field Theory. Perseus Books.
^ Linde, A (1982). "A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems". Physics Letters B. 108(6): 389–393. Bibcode:1982PhLB..108..389L. doi:10.1016/0370-2693(82)91219-9.
^ Albrecht, Andreas; Steinhardt, Paul (1982). "Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking" (PDF). Physical Review Letters. 48 (17): 1220–1223. Bibcode:1982PhRvL..48.1220A. doi:10.1103/PhysRevLett.48.1220. Archived from the original (PDF) on 2012-01-30.
^ J. Polchinski, String Theory, Cambridge University Press, Cambridge, UK (1998)
^ NOVA, "The Elegant Universe", PBS television special, https://www.pbs.org/wgbh/nova/elegant/
^ Sen, A. (1998). "Tachyon condensation on the brane antibrane system". Journal of High Energy Physics. 1998 (8): 12. arXiv:hep-th/9805170. Bibcode:1998JHEP...08..012S. doi:10.1088/1126-6708/1998/08/012. S2CID 14588486.

External links[edit]

The Faster Than Light (FTL) FAQ (from the Internet Archive)
Weisstein, Eric Wolfgang (ed.). "Tachyon". ScienceWorld.
Tachyon entry from the Physics FAQ

[Randall-1] Jump up to:^a ^b Lisa Randall, Warped Passages: Unraveling the Mysteries of the Universe's Hidden Dimensions, p.286: "People initially thought of tachyons as particles travelling faster than the speed of light...But we now know that a tachyon indicates an instability in a theory that contains it. Regrettably for science fiction fans, tachyons are not real physical particles that appear in nature."

[susskind-2] Jump up to:^a ^b ^c ^d ^e Aharonov, Y.; Komar, A.; Susskind, L. (1969). "Superluminal Behavior, Causality, and Instability". Phys. Rev. American Physical Society. 182 (5): 1400–1403. Bibcode:1969PhRv..182.1400A. doi:10.1103/PhysRev.182.1400.

[Sen-3] Sen, Ashoke (April 2002). "Rolling Tachyon". J. High Energy Phys. 2002 (204): 048. arXiv:hep-th/0203211. Bibcode:2002JHEP...04..048S. doi:10.1088/1126-6708/2002/04/048. S2CID 12023565.

[Gibbons-4] Gibbons, G. W. (June 2002). "Cosmological evolution of the rolling tachyon". Phys. Lett. B. 537 (1–2): 1–4. arXiv:hep-th/0204008. Bibcode:2002PhLB..537....1G. doi:10.1016/S0370-2693(02)01881-6. S2CID 119487619.

[Kutasov-5] Kutasov, David; Marino, Marcos & Moore, Gregory W. (2000). "Some exact results on tachyon condensation in string field theory". JHEP. 2000 (10): 045. arXiv:hep-th/0009148. Bibcode:2000JHEP...10..045K. doi:10.1088/1126-6708/2000/10/045. S2CID 15664546.

[Greene-6] Jump up to:^a ^b Brian Greene, The Elegant Universe, Vintage Books (2000)

[Feinberg67-7] Feinberg, G. (1967). "Possibility of Faster-Than-Light Particles". Physical Review. 159(5): 1089–1105. Bibcode:1967PhRv..159.1089F. doi:10.1103/PhysRev.159.1089.

[feinberg67-8] Feinberg, Gerald (1967). "Possibility of Faster-Than-Light Particles". Physical Review. 159 (5): 1089–1105. Bibcode:1967PhRv..159.1089F. doi:10.1103/PhysRev.159.1089.

[Peskin-9] Jump up to:^a ^b ^c Peskin, M. E.; Schroeder, D. V. (1995). An Introduction to Quantum Field Theory. Perseus Books.

[linde-10] Linde, A (1982). "A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems". Physics Letters B. 108(6): 389–393. Bibcode:1982PhLB..108..389L. doi:10.1016/0370-2693(82)91219-9.

[albrecht-11] Albrecht, Andreas; Steinhardt, Paul (1982). "Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking" (PDF). Physical Review Letters. 48 (17): 1220–1223. Bibcode:1982PhRvL..48.1220A. doi:10.1103/PhysRevLett.48.1220. Archived from the original (PDF) on 2012-01-30.

[12] J. Polchinski, String Theory, Cambridge University Press, Cambridge, UK (1998)

[NOVA-13] NOVA, "The Elegant Universe", PBS television special, https://www.pbs.org/wgbh/nova/elegant/

[14] Sen, A. (1998). "Tachyon condensation on the brane antibrane system". Journal of High Energy Physics. 1998 (8): 12. arXiv:hep-th/9805170. Bibcode:1998JHEP...08..012S. doi:10.1088/1126-6708/1998/08/012. S2CID 14588486.

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Tuesday, 17 January 2023

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Scientific research conducted by MaharshiAdhyatma Vishwavidyalay using Universal Aura Scanner (UAS)

Many positive changes taking place in the pinda for theancestors upon performing Shraddha ritual during the Pitrupaksha

1. Nature of the experiment

2. What is a pinda ?

3. Readings and their analysis

3 A. Analysis of the records pertaining to negative energy –

Complete absence of negative energy in the pinda

3 B. Analysis of the records pertaining to positive energy

3 B 1. Large amount positive energy present in the pindas even before the Shraddha ritual increased further after the ritual

3 C. Analysis of the readings pertaining to the total aura

3 C 1. Increase in the total aura of the pinda after the Shraddha ritual

4. Spiritual analysis of the recorded reading

4 A. Importance of Pindadan (Offering of pindas) during the Shraddha ritual

4 B. As a result of the Shraddha ritual, a protective sheath develops around thesubtle-body of the pitar (Deceased ancestor) which helps it in gaining further momentum

4 C. pitars they remain satisfied throughout the year

4 D. Positive energy and total measured aura of pindas increasingdue to the blessings of ancestors obtained after performing the Shraddha ritual

4 E. Other components that assist in making the Shraddha ritual effective

– Dr. (Mrs.) Nandini Samant, Maharshi Adhyatma Vishwavidyalay, Goa. (2.10.2018)

Source : Dainik Sanatan Prabhat

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Scientific experiment conducted by Maharshi AdhyatmaVishwavidyalay using ‘PIP’ (Polycontrast Interference hotography) technology

1. Nature of the experiment

2. Information about the subtle pictures used in the experiment

2A. A subtle picture drawn by an artist with a commercial intent

2B. Subtle picture drawn as part of her art byan artist lady-seeker before commencing spiritual practice

2C. Subtle picture drawn by the artist lady-seeker in obedience to theGuru 10 years after commencing spiritual practice under the guidance of the Guru

3. The observations and their analysis

3A. Baseline reading

3B. Due to the subtle picture drawn by an artist with acommercial intent, the proportion of positive vibrations andChaitanya (Divine consciousness) in the environment reducing

3C. Due to the subtle picture drawn as part of her art bythe artist lady-seeker before commencing spiritual practice, theproportion of positive vibrations and Chaitanya in the environment reducing

4. Spiritual analysis of the observations

4A. The reason underlying the phenomenon of emissionof moderate level positive vibrations from the subtle picturedrawn by a commercial artist and the subtle picture drawn byan artist lady-seeker as art before commencing her spiritual practice

4B. Emission of superior level positivevibrations from the subtle picture drawn underthe guidance of the Guru by the artist lady-seeker 10 years aftercommencing spiritual practice being the outcome of her spiritual practice

– Mr. Rupesh Laxman Redkar, Maharshi Adhyatma Vishwavidyalay, Goa. (14.2.2018)

Source : Dainik Sanatan Prabhat

Monday, 16 January 2023

Interpretation[edit]

Overview of tachyonic condensation[edit]

Physical interpretation of a tachyonic field and signal propagation[edit]

Importance in physics[edit]

Condensation[edit]

Tachyons in string theory[edit]

See also[edit]

References[edit]

External links[edit]

Scientific research conducted by Maharshi
Adhyatma Vishwavidyalay using Universal Aura Scanner (UAS)

Many positive changes taking place in the pinda for the
ancestors upon performing Shraddha ritual during the Pitrupaksha

4 B. As a result of the Shraddha ritual, a protective sheath develops around the
subtle-body of the pitar (Deceased ancestor) which helps it in gaining further momentum

4 D. Positive energy and total measured aura of pindas increasing
due to the blessings of ancestors obtained after performing the Shraddha ritual

Scientific experiment conducted by Maharshi Adhyatma
Vishwavidyalay using ‘PIP’ (Polycontrast Interference hotography) technology

2B. Subtle picture drawn as part of her art by
an artist lady-seeker before commencing spiritual practice

2C. Subtle picture drawn by the artist lady-seeker in obedience to the
Guru 10 years after commencing spiritual practice under the guidance of the Guru

3B. Due to the subtle picture drawn by an artist with a
commercial intent, the proportion of positive vibrations and
Chaitanya (Divine consciousness) in the environment reducing

3C. Due to the subtle picture drawn as part of her art by
the artist lady-seeker before commencing spiritual practice, the
proportion of positive vibrations and Chaitanya in the environment reducing

4A. The reason underlying the phenomenon of emission
of moderate level positive vibrations from the subtle picture
drawn by a commercial artist and the subtle picture drawn by
an artist lady-seeker as art before commencing her spiritual practice

4B. Emission of superior level positive
vibrations from the subtle picture drawn under
the guidance of the Guru by the artist lady-seeker 10 years after
commencing spiritual practice being the outcome of her spiritual practice