General relativity and quantum mechanics unite when gravitational and electromagnetic waves produce all forms of mass in planets and black holes, every fermion and boson in the Standard Model of particle physics, and (in stars) quantum-entangled waves which amplify each other’s energy transference as well as synthesizing the stellar hydrogen and other chemical elements.
Einstein's statement that space (more precisely, space-time) is curved is an overgeneralization. He set this conclusion in motion himself in 1919 when he published his article "Do gravitational fields play an essential role in the structure of elementary particles?" His paper inspired my theory called Vector-Tensor-Scalar Geometry - explained in the attached (updated) article.
VTS geometry means (a) gravity and electromagnetism can undergo a particular interaction to form particles with mass, and (b) space, while filled with gravitons and photons, is nothing but the absence of the mass-generating interaction. There can be no curvature of something that has no existence itself. The phrase "curvature of space" would technically mean "gravitons and photons filling space follow curved paths". However, it’s very convenient to simply speak of curved space – just as we say the Sun rises and sets while neglecting to mention Earth’s rotation … or speak of waves travelling without referring to excitation of pre-existing gravitons or photons in space and mass by a space-time disturbance (a gravitational wave) travelling at the speed of light.
How can the gravitons and photons filling space follow curved paths? This requires the universe to be intelligently designed. In purely linear time, the designer would be God. In Einstein's nonlinear time (developed from Riemannian geometry's framework for modelling nonlinear data) is the implication of the possibility of the designer being future scientists who use this curvilinear time to interact with what we call the past and present.
To return to the question "How can the gravitons and photons filling space follow curved paths?" Waves can not only be described by mathematics but, according to this post, they can literally be the result of maths. Then, Fourier analysis or v=f.(lambda) would not merely be descriptions of waves created by interacting particles. In conjunction with base 2 maths aka binary digits, and topology, they’d be part of the “blueprint” for forming waves which, via VTS geometry, produce particles. Interacting particles can produce waves just as masses can curve spacetime to create gravitation and gravitational waves. VTS plausibly explains the inverse – it doesn’t regard mass as the producer of gravity but regards gravity, partnering with electromagnetism, as producer of mass. Inverting quantum mechanics, the inverse law states that waves produce particles.
A one-dimensional line is a set of points obeying a linear relationship. A point’s an exact position or location. It’s important to understand that a point is not a thing, but a place. It possesses zero size and no matter how far we zoomed in, it’d remain dimensionless with no width. Instead of programming a set of points to follow a straight line, suppose they’re represented curvilinearly as a waveform described by Fourier analysis or v = f. lambda
When physicists study music, painting, quantum mechanics and relativity are unified.
Space-time consists of two layers: chord (tonality) space-time and non-chord (atonality) space-time; The former is expressed by chords (quantum spectrum, strings) and is often used in music, painting, etc. The latter masks the chord, is expressed by an external reference frame (clock, ruler, etc.), and is often used in classical physics, etc. Both layers involve the figure-ground and motion categories.
Preprint Chord Spacetime
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