Voidisyinyang Voidisyinyang
10 hours ago
yes but it was precisely this point of time running slow that inspired Louis de Broglie to create his Law of Phase Harmony since de Broglie realized that Einstein's relativity goes against the principle of Pythagoras that time is inverse to frequency.
Which image is correct, the 2D (10:52), showing space stetched, with longer lines near a star or the 3D (8:10), with the compressed cubes? I understand the 3D is the better one, but the explanation was given based on the 2D model, describing the distance near the gravitational field as longer (10:59), which doesn't seem to be the case in the 3D model.
Which image is correct, the 2D (10:52), showing space stetched, with longer lines near a star or the 3D (8:10), with the compressed cubes? I understand the 3D is the better one, but the explanation was given based on the 2D model, describing the distance near the gravitational field as longer (10:59), which doesn't seem to be the case in the 3D model.
@Grey Troll The compression is the internal perspective - study de Broglie's Law of Phase Harmony.
@Jesus Gonzalez "This allows the interpretation of de Broglie's "Harmony of the Phases" as a "Principle of Equivalence" for Quantum Gravity....The Harmony of the Phases resulted in a super-luminous wave-velocity...but this was not in contradiction with the postulates of Einstein’s Special Theory of Relativity because the wave couldn’t carry energy....If the particle moved, the inertial energy and associated frequency increased...But the same particle should, according to de Broglie, be associable to an inner frequency which, for a moving particle, transformed time-like in the same manner as atomic clocks with period T and frequency do in Einstein's Theory of Special Relativity....At first, these postulates were regarded as too fantastic to be true....He proved the Harmony of the Phases by using the wavelength and frequencies, not by means of the momentum and energies. ...the wave frequency belongs to the inertial energy of the particle, as the inner-clock frequency belongs to the [gravitational] energy of the particle....Thus de Broglie gave every particle two, not just one, frequencies. ...a super-luminus wave velocity connected to the particle-velocity.
In its rest-frame, the space around the particle is interpreted as an inertial field with an inertial energy and a connected inertial frequency i = 0. For the particle at rest, this inertial field is extended over the entire space so its density becomes infinitely small and can’t be measured. There is no wave-length because the frequency and the connected energy are homogeneously spread out over all of space....The connection of the particle to the wave and the connection of the gravitational mass to the inertial mass are coinciding problems. The key to the enigma of the particle-wave duality lies in de Broglie’s ”Harmony of the Phases”. E. Paul J. de Haas, The combination of de Broglie's Harmony of the Phases and Mie's theory of gravity results in a Principle of Equivalence for Quantum Gravity. https://vixra.org/pdf/1412.0217v1.pdf
@Jesus Gonzalez "De Broglie noted that relativity theory predicts that, when such a particle is set in motion, its total relativistic energy will increase, tending to infinity as the speed of light is approached. Likewise, the period of the internal phenomenon assumed to be associated with the particle will also increase (due to time dilation). Since period and frequency are inversely related [Law of Pythagoras], a period increase is equivalent to a decrease of frequency and, hence, of the energy given by the quantum relation hf. It was this apparent incompatibility between the tendency of the relativistic energy to increase and the quantum energy to decrease that troubled de Broglie. The manner in which de Broglie resolved this apparent contradiction is the subject of the famous 1923 Comptes rendus note [Comptes rendus de l'Académie des Sciences, vol. 177, pp. 507-510 (1923)]. http://spaceandmotion.com
@Jesus Gonzalez 2015, Daniel V. Schroeder, "Einstein and de Broglie" states "energy [frequency] is to time (period) as momentum is to space (wavelength)."
@Jesus Gonzalez " Since temporal-spatial periodicity and energy-momentum are two faces of the same coin, we can equivalently describe the retarded and local variations of energy-momentum occurring during relativistic interactions in terms of corresponding modulations of temporal-spatial periodicity of the elementary particles. In particular we may note that Einstein derived his description of gravitational interaction of general relativity by considering the modulations of temporal-spatial periodicity associated to a Newtonian gravitational potential.
The phase harmony implies that the momentum-energy and the space-time periodicity are dual quantities - they are two sides of the same coin.
In general, the higher harmonics describe the quantum excitations of the particles (e.g. multiparticle states) whereas the fundamental harmonic is the de Broglie matter wave of ordinary undulatory mechanics or field theory - the negative vibrational modes correspond to antimatter ("anti-particles")
Thus, massive elementary particles, with their vibrations in space and time, are the relativistic sources of sound. In fact we have postulated that every elementary particle is a vibrating space-time string.
The "medium" on which this relativistic "sound" propagates is the space-time(s) associated to the fundamental massless particles of the Standard Model, i.e. photons and gravitons."
Ph.D. Donatello Dolce on de Broglie Law of Phase Harmony
visualization of General Relativity - vid 4 - curved spacetime
You can always make it small enough that the distortion is arbitrarily small.
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