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Topic: Planck mass

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Planck charge

Planck length

Planck energy

Planck units

Planck particle

Planck temperature

Compton length

Natural units

Hierarchy problem

Planck time

Schwarzschild radius

Supersymmetric

Supersymmetry breaking

Supersymmetry breaking scale

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	Planck units - Wikipedia, the free encyclopedia
		The Planck units are often semi-humorously referred to by physicists as "God's units".
		At the "Planck scales" in length, time, density, or temperature, one must consider both the effects of quantum mechanics and general relativity.
		Max Planck first listed his set of units (and gave values for them remarkably close to those used today) in May of 1899 in a paper presented to the Prussian Academy of Sciences.
	en.wikipedia.org /wiki/Planck_units (1596 words)

	FUNDAMENTAL PLANCK UNITS
		In terms of dimensional analysis, that's all it is; however, in the context of the physical theory of relativity, c is understood as a bounding velocity for massive particles, and the required velocity for massless particles.
		This essential Planck level quantization is a fundamental idea in Loop Quantum Gravity as pursued by Lee Smolin, which owes its genesis to a formulation of QCD due to Kenneth Wilson, in terms of loops.
		The Schwarzschild diameter for the Planck mass is the Planck length.
	graham.main.nc.us /~bhammel/PHYS/planckunits.html (2410 words)

	United States Patent Application: 0040164824
		The reason for this is that the mass of the electron times its wavelength is equal to the mass of the proton times its wavelength which in turn is equal to Planck's constant h divided by the speed of light, known as the base constant (B).
		The Planck mass is equal to the Planck scale.LAMBDA.times the linear mass.OMEGA.
		The Planck wavelength intersects the tetrahedron at (b) which is the boundary between space and hyperspace known as the centerline of the diagram.
	appft1.uspto.gov /netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PG01&p=1&u=/netahtml/PTO/srchnum.html&r=1&f=G&l=50&s1="20040164824".PGNR.&OS=DN/20040164824&RS=DN/20040164824 (2619 words)

	Department of Physics (Site not responding. Last check: 2007-10-09)
		Planck's conjecture that the fundamental equations of physics should contain as free parameters only the Planck length, mass and time, requires to replace differentials by rotation - invariant finite difference operators in R3.
		In its lowest state the Planck mass plasma has dilation and quantized vortex states, with Maxwell's and Einstein's field equations derived from the antisymmetric and symmetric nodes of a vortex sponge.
		In additions, the Planck mass plasma has excitonic quasiparticle states obeying Dirac's equations with a maximum of four such states and a mass formula of the lowest state in terms of the Planck mass, permitting to compute the value of the finestructure constant at the Planck length, in surprisingly good agreement with the empirical value.
	physics.unr.edu /grpsp.html (245 words)

	From what I understand, Planck time is the amount of time it takes a photon to move Planck length, but what is Planck ...
		The significance of this mass is that it is the energy scale at which the quantum properties of the object (remember, this is a point particle!) are as important as the general relativity properties of the object.
		Thus, the Planck length is the typical quantum size of a particle with a mass equal to the Planck mass.
		Since the Planck length has this special property of being the length scale where we can't ignore quantum gravity effects, it is typically taken to be the size of a fundamental string, in string theory.
	www.physlink.com /Education/AskExperts/ae635.cfm (638 words)

	INTERPRETING THE PLANCK MASS
		INTERPRETING THE PLANCK MASS Abstract The Planck mass is shown to be a lower bound on the regime of validity of General Relativity.
		Empirically, the Planck mass is greater than the masses of elementary particles in the regime of Quantum Theory, and so the the regimes of validity of GR and QT are disjunct, casting severe doubts on the meaning of quantizing the gravimetric field of the Einstein equations.
		It seems more reasonable and precise then to view the Planck mass as that which provides a lower bound in mass on the validity of GR, and separates GR from the as yet to be unfolded theory of quantum gravity.
	graham.main.nc.us /~bhammel/PHYS/planckmass.html (2861 words)

	Planck-proton mass ratio: 13 quintillion (Site not responding. Last check: 2007-10-09)
		The proton Compton wavelength is 13.01 quintillion Planck lengths.
		Planck's proposal for a system of units based on fundamental physical constants was, when it was made, formally correct but rather thinly rooted in fundamental physics.
		I seem to recall that the Chandrasekhar mass limit (mass leading to supernova explosion) can be expressed in terms of the reciprocal of zeta and the Planck mass, for a typical case of a star that is half protons, as
	www.planck.com /proton.htm (571 words)

	Physics Help and Math Help - Physics Forums - View Single Post - QG and Planck units
		This is known as the Planck mass, after Max Planck, who noted in 1900 that some such mass would appear naturally in any attempt to combine his quantum theory with the theory of gravitation.
		The Planck mass is roughly the energy at which the gravitational force between particles becomes stronger than the electroweak or the strong forces.
		Theoretical physicists are now confident that the role of the Planck values in quantum gravity, cosmology, and elementary particle theory will emerge from a unified theory of all fundamental interactions and that the Planck scales characterize the region in which the intensities of all fundamental interactions become comparable.
	www.physicsforums.com /showpost.php?p=299889&postcount=12 (1400 words)

	Fundamental Quantum Cosmological Units
		After the introduction of his quantum constant, Max Planck showed, by a pure consideration of dimensions, that it was possible to construct a length, a time and a mass, by means of Newton's gravitation constant, the velocity of light and the new Planck constant.
		The mass of an "elementary particle" is presumed to be a definite fraction of the total mass of the Universe.
		The cosmological mass unit, 1 masson, is on the other hand a variable unit, as it must be assumed that the product of elementary mass and the cosmic evolution quantum number is constant, equal to the total matter/energy mass of the Universe.
	www.rostra.dk /louis/quant_05.html (3454 words)

	p-Adic Higgs mechanism (Site not responding. Last check: 2007-10-09)
		Mass squared operator is identified as an operator closely related to the Virasoro generator L_0 as in string models and partition function is essentially the exponential of L_0.
		This implies that mass scale behaves as 1/sqrt(p) and one can understand the generation of the mysterious number 10^{19} by assuming that the physically most interesting primes correspond to primes near prime power powers of two: in particular, Mersenne primes M_n=2^n-1, n prime.
		The real counterpart for the thermal expectation value (obtained by canonical identification) for the mass squared is extremely sensitive to the statistical degeneracy of the state with given quantum numbers and in general the mass squared expectation value is of the order of CP_2 mass =about 10^(-4) Planck mass.
	www.physics.helsinki.fi /~matpitka/padmasses.html (1305 words)

	atomic mass constant Comparison Table (Site not responding. Last check: 2007-10-09)
		The measure of the inertia of an object, determined by observing the acceleration when a known force is applied.
		The gravitational force acting on an object is found to be proportional to its mass, as is the gravitational force that it exerts on other objects.
		One-twelfth the mean mass of an atom of carbon 12 (including the orbital electrons).
	www.csi.uottawa.ca:4321 /astronomy/atomicmassconstant_table.html (119 words)

	ToyHiggs.nb
		The model shows what mass is and how it comes from the Higgs field, and it allows estimates of the masses of the electron, W boson, and Higgs boson based on fundamental principles and a few naive assumptions.
		Its mass is not predicted by the Standard Model, but recent estimates place it between 113 and 205 GeV,[1] and two groups at CERN have collected four accelerator events that may show evidence for a mass of 115 GeV.
		First, the rest mass or inertial mass of the electron may represent nothing more than the uncertainty in the position of an electron at rest (or the certainty, depending on whether your glass is half empty or half full).
	home.earthlink.net /~dolascetta/ToyHiggs.html (2661 words)

	Sınırları Aşmak
		By expressing natural constants in terms of Planck units, we found that Universal Gravitation Constant is the inverse of vacuum density matter-equivalent and the square of Planck time, being the former equal to Planck mass divided by Planck volume.
		Planck charge can be understood as 6 strings existing in a Planck volume, equivalent to the 6 dimensions supposed to exist at string level.
		This means that, apart from vacuum reaction, masses attract mutually by some sort of “gravitational field” or “spacetime geometry” as predicted respectively by quantum field theories and general relativity.
	www.zamandayolculuk.com /cetinbal/StargateLap.htm (3862 words)

	Paradoxes Resolved, Origins Illuminated - An elegant formula for an elegant universe
		You can not derive the Planck Scale based on G equal to one, any more than you can derive Planck Scale based on the radius of the earth, or the distance from the sun to the earth, on on any other macroscopic values.
		The Planck Scale gives us a set of very tiny length and time scale but HUGE mass scale, so huge that the Planck mass is 20 orders of magnitude bigger than masses of fundamental particles.
		But if you look at Planck Mass the same way you look at Planck Length and Planck Time, basicaly what it means is for anything lighter than Planck Mass, you can no longer calculate gravity using G, and General Relativity is no longer correct, nor is the equivalence principle.
	www.metaresearch.org /msgboard/topic.asp?TOPIC_ID=588 (2677 words)

	Planck Time (Site not responding. Last check: 2007-10-09)
		The energies needed to smash particles to within a Planck length of each other were available to the universe at a time equal to the Planck length divided by the speed of light.
		An object of such mass would be a quantum fl hole, with an event horizon close to both its own Compton length (distance over which a particle is quantum mechanically "fuzzy") and the size of the cosmic horizon at the Planck time.
		It is presumably only during the Planck era, when the usual four spacetime dimensions acquire their natural Planck scales, that the existence of what is more fundamental than the usual ideas of mass-energy and spacetime becomes fully revealed.
	abyss.uoregon.edu /~js/glossary/planck_time.html (358 words)

	phys
		Abstract: The Planck permittivity is derived from the Planck time and becomes an important parameter for the definition of a fl hole model applied to Planck quantities.
		If the Planck mass is considered as a fl hole and endowed with a charge, we find that the electron mass and charge are a natural corollary.
		A spinning and charged Planck mass will decrease its mass: at the speed of light we are left with a massless and chargeless particle, which could be identified with the neutrino, and an extension in our macroworld of such mass decrease is investigated.
	www.geocities.com /CapeCanaveral/Lab/5185/phys.html (453 words)

	The Quantacized Atom
		Mass numbers (A or B) can be found in the Period Table of the Elements.
		The "Planck" units are of significance (1) as "natural" units of measurement, based on the Planck Constant, the velocity of light, and the Gravitational Constant (with Boltzmann's Constant used to convert the Planck Energy into the Planck Temperature), and (2) for the recent and promising physics of Strings and Super-Strings.
		The Planck Length is the scale, and the Planck Time the age of the universe, at which gravity is thought to act like all the other forces of nature.
	www.friesian.com /quanta.htm (5183 words)

	Planck's Units
		The periot and blanc, two archaic units of mass supposedly used by jewelers, are smaller than the Planck mass; as are the masses of many life-forms.
		That means a Planck-mass mist drop's proper period is the Planck length (or time, as you wish); this is a factor of 10**30 smaller than the physical dimensions of the mist drop, which has much to do with why one doesn't much notice quantum effects on raindrop-sized things.
		However, the form of Planck's units thus far is based on the constants in the field equations themselves, rather than on the bodies controlled by these: though better (by virtue of its real irreducibility), it is defined in the same spirit as the atomic mass unit, rather than in terms of the field equations.
	www.chaos.org.uk /~eddy/physics/planck.html (2120 words)

	Day 2 The Quark Model (Site not responding. Last check: 2007-10-09)
		Planck density: the density of matter where 1 Planck mass occupies a volume of 1 Planck length across - roughly 10
		Planck mass: the mass of a hypothetical particle which would have an equivalent wavelength, according to quantum theory, equal to 1 Planck length.
		Planck's constant, h: relates the particle nature of a quantum entity to its wave nature through the equation E=hf.
	www.gchs.com /teachers/mhaight/quark.htm (693 words)

	The Planck Era (Site not responding. Last check: 2007-10-09)
		Therefore, as we extrapolate back in time to the beginning of the Universe, eventually one would reach a state of sufficient temperature and density that a fully quantum mechanical theory of gravitation would be required.
		This is called the Planck era, and the corresponding scales of distance, energy, and time are called the Planck scale.
		However, the Planck scale is so incredibly small that this presumably only had meaning in the initial instants of the creation of the Universe.
	csep10.phys.utk.edu /astr162/lect/cosmology/planck.html (313 words)

	Physics and Astronomy Forums - De Broglie wave on photons?
		Planck's constant is a fundamental constant of nature that sets the scale of quantum mechanics.
		Frequency is continous acceleration and deacceleration of a mass somehow.
		In general if you have an object in a balanced state and a large force is required to move it from this state, then a lower mass wants to go back to its original state faster then a higher mass.
	www.physlink.com /community/forums/printthread.cfm?Forum=17&Topic=1785 (916 words)

	Physics Today June 2001
		The mass of ordinary matter is dominated by protons (and neutrons), and the force of gravity is proportional to mass squared.
		Thus the proton mass is determined by the distance at which the running QCD coupling becomes strong.
		Our question, "Why is the proton mass so small?" has been transformed into the question, "Why is the QCD distance much larger than the Planck length?" To close our circle of ideas, we need to explain how, if only the Planck length is truly fundamental, this vastly different length can arise naturally.
	www.physicstoday.org /pt/vol-54/iss-6/p12.html (1481 words)

	Brian Gantz (Site not responding. Last check: 2007-10-09)
		The problem that I mentioned before is that it seems that the Planck mass (the smallest unit of mass that can be considered before quantum physics takes over), according to theory, is huge as compared to a nucleon (such as an atom).
		The absence of “G” in the equations given by Dimopoulos concern the fact that he has expressed “G” in terms of the Planck mass, which is essential to solving the problem that I set forth at the beginning.
		This is exactly the same as equation 1, except that we have not expressed G in terms of the Planck mass.
	physics.syr.edu /courses/PHY312.00Spring/projects/gantz/gantz.htm (2255 words)

	Planck mass, about that of a flea (Site not responding. Last check: 2007-10-09)
		The Planck mass is mite-sized and a billion times Planck mass is 48 pounds—roughly that of a grown dog like a husky or malamute.
		It's the mass unit intrinsic to light and gravity and constitutes one of the universal natural units.
		Indeed Planck force is the central constant in one of the principal equations of General Rel.
	www.planck.com /planckmass.htm (465 words)

	The Cosmological Quantum Units and the Planck Units
		The socalled Planck units are not based on a physical theory, and neither are they themselves base for a physical theory.
		The mass of the Universe is an utterly fundamental quantity, determining both local as well as cosmological-physical states.
		As I assume that the mass of the Universe – during its whole existence – is constant, this means that the mass of a uniton decreases gradually as the Universe expands.
	www.rostra.dk /louis/quant_12.html (1045 words)

	Ex Astris Scientia - Warp Propulsion - 7 Appendix (Site not responding. Last check: 2007-10-09)
		A point of an object in which its whole mass may be assumed concentrated with respect to outer forces.
		Property of a bundle of waves whose relative phases are spatially or temporally equal or constant (example: laser), as opposed to incoherent waves.
		Energy of an object with a mass m due to its position or height h, specifically in a gravitational field with an acceleration g.
	www.ex-astris-scientia.org /warp/warp7.htm (1295 words)

	\Large\sc The Time Arrow in Planck Gas
		The QHT is the specification of the hyperbolic heat conduction equation HHC [1,2] to the quantum limit of heat transport i.e.
		Equation (7) is the quantum hyperbolic heat transport equation (QHT) for Planck gas.
		As it was shown in that paper, the thermal equilibrium of spatially extended systems is characterized by the ``global'' temperature and a ``local'' temperature which is sensitive to the value of the gravitational potential.
	www.fuw.edu.pl /~mirkoz/2002time.html (889 words)

	Planck Mass
		However, just as the pion mass of.14 GeV is less than the sum of the masses of a quark and an antiquark, pairs of oppositely charged pions may form a bound state of less mass than the sum of two pion masses.
		The value for the Planck mass given in the Particle Data Group's 1998 review is 1.221 x 10^19 GeV.
		The combinatorial basis of the Planck mass is related to the I Ching.
	www.valdostamuseum.org /hamsmith/Planck.html (2014 words)

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