Scale Definition and 743 Threads

  1. A

    B Scale Invariance and dark matter/dark energy

    https://arxiv.org/pdf/1710.11425.pdf The dark matter/dark energy issues has not made any sense to me since 1996 when it was evident that the ratio of dark matter increased as the volume of space measured increased. This was an obvious affect of empty space in the dark matter question that was...
  2. wolram

    B Is Scale Invariance the Key to Understanding the Expansion of the Universe?

    https://www.sciencedaily.com/releases/2017/11/171122113013.htm A University of Geneva researcher has recently shown that the accelerating expansion of the universe and the movement of the stars in the galaxies can be explained without drawing on the concepts of dark matter and dark energy…...
  3. kyphysics

    B Question About Planck Scale Unit

    Can someone clarify this for me. Is it the case that Planck scale unit is the smallest unit of measurement that can can observe/make, but not the smallest unit of measurement that exists? If so, is there some name for that which is smaller? Is there some fundamental measuring unit that...
  4. G

    I Scale Factors: Is a 10x Bigger Earth Possible?

    Hello, Not really sure where this belongs (more sci fi) But, suppose the Earth were 10 times bigger. Would it be possible for everything on Earth to scale with this increase - Earth systems, land masses, trees etc (but also remain unchanged to us (except everything everything would be bigger)...
  5. D

    MHB Time Scale Calculus Research - Discuss with Fellow Researchers

    Anyone here do research with time scales (differential equations(dynamic equations) combining both the continuous and discrete). I know its more of a new topic from Hilger, but I think it is a new wave of modeling that will be prevalent in the future. If anyone is interested on the topic or...
  6. Y

    Water Filling a Cylindrical Container with a Scale Under It

    Homework Statement A scale is adjusted so that when a large, shallow pan is placed on it, it reads zero. A water faucet at height h = 4.0 m above is turned on and water falls into the pan at a rate R = 0.20 kg/s. A) Determine a formula for the scale reading as a function of time t if at the...
  7. karush

    MHB Solve Polynomial Scale: Find a,b,c,d

    what is a b c and d so that all values of s are true \begin{align}\displaystyle &f_{15}=\\ &-17d+11s^2-4s+10as^3=(b+2)s+90s^3+(3c-1)s^2+85\\ &-17d+11s^2-6s+10as^3=bs+90s^3+3cs^2-s^2+85\\ &(s=0)\\ &-17d=85 \therefore d=-5\\ &11s^2-6s+10as^3=bs+90s^3+3cs^2-s^2\\ &(s=-1)\\...
  8. R

    I Two square scale meeting point, when one is moved odd

    There are two square scale. That is, it has marking where there are square i.e marking at 0,1,4,9,16,25 and so on. When one scale is moved, it slide over the other. Now if one scale is moved odd number i.e say 123 , that is, it's zero is placed at 123 over the other scale, now. Now, can one...
  9. C

    A Press Schechter function -- the variance on mass scale

    In obtaining the Press Schechter function, the variance on mass scale is differentiated with respect to mass. The variance on a mass scale is a function of wavenumber k through the Power spectrum and transfer function. To eliminate k dependence, some value of k must be inserted into the...
  10. G

    I How does flux density scale with redshift?

    I'm not sure I understand how to correctly scale flux density with redshift. That is, if I observe say 10 Jy at my observing frequency coming from a source at z = 0.3, how can I estimate the flux density I would expect from the same source at z=2? From what I understand, the final scaling is...
  11. Z

    Scale 1:25 or 1:75 why scale ruler first reading is 0.5m and....

    Dear folks Yes I do understand scale ration 1:25 means 1 unit on a map equal to 25 units on a real and scale ration 1:75 means 1 unit on a map equal to 75 units on real Question my Kent tri scale ruler for the ratio 1:25 showing first number as 0.5 m (i.e 50 cm, 500 mm) While first reading...
  12. M

    B Is there a unity across scale in the universe?

    Is our concept of scale, of micro and macro, of quantum and cosmic, relative to our perception as humans? If General Relativity and Quantum Physics both yield truth, then perhaps it is an error in human cognition that seems to perceive a disconnect between the two. The universe is just the...
  13. STAR GIRL

    I Time Scale -- Does Time have uniform Scale?

    Does #Time have uniform Scale??
  14. BillTre

    Chromosome and Large Scale Genome Evolution

    As a kind of off-thread elaboration on a thread on protein evolution, here is a Science news article on the evolution of mammalian chromosomes. By using full genome sequences, they are trying to trace back the evolution of mammalian genomes to their ancestral set of chromosomes. They only...
  15. julianfer5

    Automotive Aerodynamics help -- small scale car powered by a CO2 cartridge

    I am currently engineering my v2 version of my f1 in schools car, it is a small scale car powered by a CO2 cartridge designed to go down a 25m track, my current version does 25m in under 1.4s, however, I would like to shave off another 0.3-0.2s I believe my main issues are the bearings (only...
  16. S

    A Hubble scale and energy density during inflation

    Is the energy density ##\rho## in the early universe and the Hubble scale ##H## during inflation related by the formula $$H^{4} = \frac{9}{64\pi^{2}} \frac{\rho^{2}}{M_{P}^{4}}?$$ Here, ##M_{P}## is the Planck mass. Can you suggest any resources where this is explained?
  17. R

    Visualizing the Motion of Coins on a Rotating Scale

    Homework Statement A uniform rigid scale is held horizontally with one of its end at the edge of the table and the other supported by hand. Some coins of negligible mass are kept on the meter scale. As the hand supporting the scale is removed, the scale starts rotating about its edge on the...
  18. O

    B Exploring the Mysterious Planck Scale: The Secrets of the Smallest Unit of Space

    It will take a particle accelerator that size of the solar system or more to peek inside the Planck scale.. does this mean the Planck scale is a no man's land.. or empty? but for a passing electromagnetic field or strong field.. doesn't it pass thru or touch the Planck scale at all? If it...
  19. N

    B Understanding the GUT Scale: Merging Fundamental Forces at High Energies

    So I've heard it talked about how how at high energies all the strength of all fundamental forces are expected to merge together to single force, but don't quite get how you get from "all the forces have the same strength at high energies" to "all the forces are really the same force."...
  20. C

    I Scale invariant thermal fluctuations

    There's something that has been bugging me for over a year now and I seem to be unable to find the answer. I would appreciate it very much if somebody could help me out. The thing is that I don't understand how it is possible that in second order phase transitions the correlation legth becomes...
  21. hilbert2

    A Scale invariant inverse square potential

    Yesterday, I was thinking about a problem I had encountered many years before, the central force problem with a ##V(r) \propto r^{-2}## potential... If we have a Hamiltonian operator ##H = -\frac{\hbar^2}{2m}\nabla^2 - \frac{A}{r^2}## and do a coordinate transformation ##\mathbf{r}...
  22. MathematicalPhysicist

    A question on absolute kelvin temperature scale.

    I was asked in an exam the following question: Q: How is the absolute Kelvin Thermodynamic temperature scale defined ? My answer is the following: A: The absolute zero kelvin thermodynamic temperature is defined as the temperature for which the entropy of the system is zero, i.e ##S|_{T=0} =...
  23. A

    I Vacuum cutoff, normal ordering, Planck scale and 10^120....

    Hi all, This is a followup to a question from a couple of months ago regarding vacuum energy and cutoffs, basically to clarify some ideas. Given the usual picture of the vacuum as containing quantized harmonic oscillators at every point, it is not possible to apply a 'fixed' energy cutoff (at...
  24. John Morrell

    Is entropy always bound to increase, even on a small scale?

    So when my dad first explained the fundamental idea of thermodynamics to me, that entropy never decreases, he pointed out the odd fact that according to basically all other laws of physics, any motion or reaction could be run backwards and be just as valid as it is run forwards. It would break...
  25. S

    Value of resistor for full scale deflection with 10A

    Homework Statement In order to provide full scale deflection the coil current required in a galvanometer is 190μA and the resistance of the coil in the galvanometer is 35Ω - What is the value of the resistor to be connected in parallel with the meter so that full scale deflection is obtained...
  26. F

    How does a simple balance scale work?

    Visualize a simple balance, a pan at either end of a beam which balances on a fulcrum. The way it works is that if each pan carries the same weight, it balances horizontally. If one pan carries slightly more weight, it tips slightly off horizontal. If one pan carries more weight yet, it tips...
  27. C

    I Where the scale factor a(t) appears in the metric

    Hello, I was enjoying Zee's book on GR when I noticed the location of this "a(t)" thing in the metric sound quite disturbing to me. BTW: I experience the same annoyance and went down to the same conclusions, when I watched a related Theoretical Minimum lesson...Here's the setup, the flat...
  28. N

    Equations of Motion w/ spring scale

    Homework Statement http://imgur.com/a/X7mWA Homework Equations 1. ΣF = m a 2. Στ = Iθ" The Attempt at a Solution First , assuming small motion, all movement of the scale can disregard x components (so the spring stretches only in vertical direction without an impact from the x directional...
  29. F

    I Length Contraction & Time Dilation Beyond Planck Scale: Correct?

    If an object was traveling fast enough relative to an observer such that it's length is contracted down to the Planck scale (as with time), I would imagine that any further increase in speed would result in no more observable relativistic effects? Please correct me if I'm wrong.
  30. Vitani11

    How Does Force Scale with Radius in Orbital Motion?

    Homework Statement a. A particle in circular orbit is experiencing an attractive force F towards its center of the orbit. It its period T scales as rn, where r is the radius of the orbit, how does the force scale with radius r? That is, find p in the relation F = arp, where a is an arbitrary...
  31. W

    Balancing Forces on a Scale: Man with Pulleys and Tensions

    Homework Statement Man standing on scale and pulling on a rope connected to two pulleys Homework Equations The mass of the man is: m=100 kg The weight of the pulleys, cables, balance, and the frictions are not taken into account g=10m x s-2 3. The Attempt at a Solution the force that the...
  32. 1

    I Rounding decimals to ruler scale (log, pow math?)

    I have data (all less than 1) and I need to round down to the nearest 1/2, 1/4, 1/8, 1/16, and 1/32. I have no idea how to do this mathematically, but I'm guessing I use log or pow functions. For example: 0.81 = 0.5 or 1/2 0.33 = 0.25 or 1/4 0.18 = 0.125 or 1/8 Any help would be appreciated...
  33. parshyaa

    How anders celcius defined temperature scale.

    What made anders celcius(founder of °c temperature scale) to use water as a bench mark for measuring temperature, why he used water's freezing point as 0°c and boiling point as 100°c, is there a reason or he just used water so that it can work easily.
  34. K

    MHB Richter Scale Earthquake Magnitude Question?

    Hello. I am doing a review sheet for my Pre-Calculus final and one of the questions has me stumped. I'm going through our notes and we never did a problem like this in class. Any help would be greatly appreciated. Thank you. Find the Richter scale magnitude of an earthquake that releases energy...
  35. K

    I Scale of a in MOND and cosmological constant

    in 2 recent papers by Lee Smolin and Erik Verlinde it is claimed that the scale of acceleration as required by various MOND theories is on the same order as the cosmological constant both researchers suggest that instead of cold dark matter, or even modified Newtonian dynamics, MOND-like...
  36. 1oldman2

    Large scale Quantum computing developments

    I have been reading lately about the University of Sussex work on large scale quantum computing that doesn't require the Laser beam approach to controlling the atom. This seems like a huge breakthrough in the development of quantum computers however a forum search doesn't have any mention of it...
  37. A

    Fortran How to change data from linear scale to log scale

    I am trying to calculate and draw a relation between (IL) and the Growth rate (m). I have used Il as range from 10^15 to 10^18 in the calculation and when I draw the relation (x-axis ) is Il and (y-axis ) is m. I converted the IL to be in log scale. I noticed unacceptable output. So, I am...
  38. R

    A Scale in mathematics vs in quantum physics

    What is the difference between the concept of scale in the SM QFTs and the scale concept in geometry? In other words, QFT is a scale-dependent theory that is living on a scale-invariant space(either R4 or M4, related by Wick rotations). Mathematically scale-invariance and scale-dependence appear...
  39. T

    MHB Solve Scale Factor Problem: 'ET Pizza' Pizzas

    Dear friends, I am unable to solve the following scale factor problem. Will appreciate your help here. Thanks in advance. 'ET Pizza' produces two pizzas that are similar in shape. The smaller pizza is 20 cm in diameter and costs $10. The larger pizza is 30 cm in diameter. What is a fair cost...
  40. C

    Number displayed on an electric scale when an object hits it

    Homework Statement We have an object, whose mass is accumulated in its center. The mass is m. We let an object positioned at the height of h over the scale free fall. Let R be the number that will be displayed on the scale right when the item hits it. Find R(h). 2. The attempt at a solution...
  41. J

    A Momentum transfer and energy scale

    Hi, I am recently working on a project involving simulations and I'm pretty confused about the parameter energy scale Q (contained in TruthEvent pdfInfo). I tried to figure out what that parameter means and from some sources online I think Q is the absolute value of momentum transfer q...
  42. Leonardo Machado

    How do I create a logarithmic scale graph and determine line spacing?

    Hello every one. Today's question is: if I'm writte a graph using logarithm scale, must i use the dimensions of the graph "logarithmized" too ? i.e : A Distance x Force graph must have its dimensions as log (m) x log (N) ? or it is just valid for the module ? Thanks for the tips
  43. merricksdad

    Determining mass of a weight on a three spring scale setup

    Homework Statement Given three spring scale readings, positioned at unknown angles, find the mass of the weight hanging from all three scales without using trig, and without measuring the angles. You have only a yard stick. This is a static equilibrium problem. Homework Equations Not allowed...
  44. Elnur Hajiyev

    A Hubble parameter vs Scale factor's derivative

    How does Hubble parameter and scale factor's derivative differ geometrically? I am reading S. Caroll's GR book. But I cannot get the full representation of these two parameters. On the book, it says How can \dot{H} and \ddot{a} be opposite of each other on the same instance if both are...
  45. J

    Advice on milligram/centigram precision scale

    Any suggestion on a good (but as usual not that expensive) scale that can measure at least to centigram precision? Searching online (e.g. Amazon) I did find some options but the reviews are usually mixed regarding precision (users will say that scales with milligram precision specs are not that...
  46. W

    I Scale invariance in the power spectrum

    I understand the inflation predicts a nearly scale invariant power spectrum but some have claimed this was predicted before inflation (by Harrison and Zeldovitch?) My understanding is that perfectly scale invariance would predict ns=1 but inflation predicts ns =.96. So did the prior prediction...
  47. S

    Scale factor of special conformal transformation

    Homework Statement (From Di Francesco et al, Conformal Field Theory, ex .2) Derive the scale factor Λ of a special conformal transformation. Homework Equations The special conformal transformation can be written as x'μ = (xμ-bμ x^2)/(1-2 b.x + b^2 x^2) and I need to show that the metric...
  48. senobim

    Relate wavelength and energy scale

    Homework Statement Light intensity is measured by monochromator and is given by I(\lambda ) = I_{0}\lambda ^{3} How to change it to the energy scale I(h\nu ) = ? Homework Equations Photons energy E = h\nu, E =\frac{hc}{\lambda } The Attempt at a Solution It's kind of strange to relate...
  49. S

    Density parameter against scale factor for perfect fluids

    Homework Statement This is a basic cosmology problem. The Friedmann equations are ##\Big( \frac{\dot{a}}{a}\Big)^{2}+\frac{k}{a^{2}}=\frac{8\pi}{3m_{Pl}^{2}}\rho## and ##\Big( \frac{\ddot{a}}{a} \Big) = - \frac{4\pi}{3m_{Pl}^{2}}(\rho + 3p)##. Using the density parameter ##\Omega \equiv...
  50. A

    Logarithmic scale for the Laser Intensity.

    I drawed a relation between the growth rate of the material to the laser intensity. After drawing, My professor told me that I must convert both values of the growth rate and the laser intensity to their values in the logarithmic scale. I don't know how. May I get a help.
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