Gravity is thought of a special among other forces in that all objects in its I
Influence accelerate with equal degree.
This is attributed to spacetime, an entity or notion that is also the underlying agent of this force or, alternatively, that gravity is an intrinsic property of it
There is no "covariance" of physical laws-- because the Lorentz transforms only pertain to the electromagnetic (EM)--- to light rays -only-.
Cf.
Preprint Demonstration via the Einstein Addition of Velocities formul...
No, because ``covariance of physical laws in different reference systems'' doesn't mean anything new, it's true by definition of what's a reference frame.
A physical system-and spacetime is a physical system-is defined by its symmetries, the transformations that leave it invariant.
Flat spacetime is left invariant by global Lorentz transformations (i.e. boosts and rotations) and translations, in the appropriate number of dimensions.
Curved spacetime is left invariant by diffeomorphisms, in the appropriate number of dimensions.
The fields, that describe the dynamics of spacetime (in general relativity there's only the metric, in generalizations thereof there are additional fields) as well as the fields that describe the dynamics of matter, that are functions of spacetime, transform covariantly under the corresponding transformations, that, for matter fields, include transformations that affect the fields only, not spacetime. And they're not limited to the electromagnetic field. The equations that describe the dynamics remain invariant under transformations that are symmetries.
Since there is no "Relativity of Simultaneity"-- as proved by Einstein vel. addition formula for light rays, there is no "spacetime".
Preprint Demonstration via the Einstein Addition of Velocities formul...
The really scientific answer to
“Can we say spacetime is only operationally defined i.e that which guaranrees covariance of physical laws in different reference systems?”
- is fundamentally No”. As that rigorously scientifically shown in the Shevchenko-Tokarevsky’s really philosophical 2007 “The Information as Absolute” conception, recent version of the basic paper see
https://www.researchgate.net/publication/363645560_The_Information_as_Absolute_-_2022_ed
[An informational system’s] “Matter” space/time/spacetime - as that absolutely obligatorily appears in all/every other cases, say, if we consider the fundamentally non-material system “Consciousness”, spacetime, etc. - exist absolutely obligatorily, and so absolutely really objectively – since that are concrete actualizations of the absolutely fundamental phenomena/notions “Space” and “Time”, which are elements of the “Logos” set that forms any/every informational patterns/systems.
Correspondingly concrete anything can exist – and concretely change - only in some concrete spaces/[spaces dimensions], and in parallel universally change in unique universal for everything time dimension.
Includingso Matter’s space appeared “automatically” as itself and in the time dimension just at Matter’s creation started [really it existed always, including implicitly before the creation],
Really spacetime so is nothing else than some logical “empty container” that provides the possibility for any/every pattern/system to exist and to change, and fundamentally by no means impact/affect on the pattern/system. Everything in the patterns/ system, including Matter, is/are completely determined by logical rules that are established in the pattern/system – in Matter that is its set of fundamental laws/links/constants.
Including, as that rigorously shown in the SS&VT Planck scale informational physical model, which is based on the conception, two main papers are are Preprint The Informational Conception and Basic Physics
, [ in the paper section 2.9 “Mediation of the forces in complex systems” can be passed since this is more comprehensively given in section 6.“Mediation of the fundamental forces in complex systems” in other paper below] , andhttps://www.researchgate.net/publication/383127718_The_Informational_Physical_Model_and_Fundamental_Problems_in_Physics
- in accordance with two of really utmost fundamental in XX century von Weizsäcker and Fredkin-Toffoli findings, it is postulated that Matter is based on a binary reversible logics, and so the ultimate and utmost universal [at least of 4 of other, non-universal, dimensions exist] base of Matter is [5]4D dense lattice of primary elementary logical structures – binary reversible fundamental logical elements [FLE] that have [5]4 utmost universal – “kinematical” degreases of freedom at changing its state – “FLE binary flip”
The lattice is placed in the corresponding Matter’s fundamentally absolute, fundamentally flat, fundamentally continuous, and fundamentally “Cartesian”, [5]4D spacetime with metrics (cτ,X,Y,Z,ct), where cτ,X,Y,Z, are 4 space dimensions, ct is the time dimension. FLE “size” and “FLE binary flip time” are Planck length, lP, and Planck time, tP.
Everything in Matter’s matter is/are specific disturbances in the lattice, while at observation and analysis of the disturbances motions and interactions the “covariance of physical laws in different reference systems” is guaranteed, which is determined only by the FLE’s parameters, say, by equal 4D FLE sizes – and so “equal 4D/4π footing” and the fundamental laws/links/constants set - and, again, by no means by the spacetime.
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