On conjugate complex time—I: complex time implies existence of tangential potential that can cause some equipotential effects of gravity

Czajko, Jakub

doi:10.1016/s0960-0779(99)00091-0

Cited by 26 publications

(26 citation statements)

References 52 publications

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“…In the sense existence of angular nonradial effects of radial gravity is theoretically foreseeable, which conclusion can be reached also by other abstract mathematical reasonings [10].…”

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confidence: 71%

“…Since acceleration would disappear for freely falling observer, it is not really relevant observable -hence one should look at its variation with position and at the relative acceleration of neighboring particles, which -as tide-raising force -is universal observable, for it cannot be just removed or altered by any motion of the observer [13]. Recall that nonradial angular effects are acquired along equipotential surfaces surrounding local center of gravity, whereon magnitude of the radial/central potential remains unchanged so that the nonradial angular effects would appear as quasi-static [10].…”

Section: Galilei Was Wrong: Constitution Of Matter Of Mass Sources Ofmentioning

confidence: 99%

“…For the possibility of existence of some other than radial interactions was mathematically foreseeable, because such interactions happen along the equipotential surfaces that enclose the source mass M of the locally dominant gravitational field [10].…”

Section: Galilei Was Wrong: Constitution Of Matter Of Mass Sources Ofmentioning

confidence: 99%

“…Since value of the radial potential always remains constant on equipotential surfaces surrounding the gravity center of the local gravitational force field, the potential energy expense taking place along such surfaces may be (conceptually) viewed as being quasi-static [10], for it has no explicit direct dependence on any parameters of motion of the two masses (such as their velocities or accelerations).…”

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confidence: 99%

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Galilei was Wrong: Angular Nonradial Effects of Radial Gravity Depend on Density of Matter

Czajko

2014

ILCPA

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Although in mathematical sense the actual meaning of Galilei's experiments conducted at leaning tower of Pisa is that he failed to detect any measurable impact of composition of matter on gravitating bodies, the obvious failure is mistakenly interpreted as experimental confirmation of lack of the impact instead. Galilei did not really perform internal validity checks of his experiments, because he did not ensure that he actually measured what he was supposed to measure. However, a modern experiment devised to test the impact of large mass on gravitational phenomena has revealed presence of (formerly unanticipated) extraneous frequency decrease in rays coming from Taurus A, when they passed close to our Sun (i.e. near occultation). The experiment has effectively confirmed that density of matter of the mass source of locally dominant gravitational field (which was our Sun's field) affects gravitational interactions happening on equipotential surfaces surrounding gravity center of the field. Also very similar experiment involving radio waves, which too exhibited (formerly unexpected) frequency decrease when they traveled along practically equipotential surface of Earth, has reaffirmed that conclusion. Hence contrary to Galilei, effects of nonradial (i.e. tangential and/or binormal) components of radial gravitational force fields depend (inversely) on (equipotential exposure to) the, assumed as practically constant and uniformly distributed, density of matter of the mass source of the local field.

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“…In the sense existence of angular nonradial effects of radial gravity is theoretically foreseeable, which conclusion can be reached also by other abstract mathematical reasonings [10].…”

mentioning

confidence: 71%

Section: Galilei Was Wrong: Constitution Of Matter Of Mass Sources Ofmentioning

confidence: 99%

Section: Galilei Was Wrong: Constitution Of Matter Of Mass Sources Ofmentioning

confidence: 99%

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confidence: 99%

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Galilei was Wrong: Angular Nonradial Effects of Radial Gravity Depend on Density of Matter

Czajko

2014

ILCPA

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“…The impact is visible in the spectra whose main component is the radial gravitational redshift that depends on difference in the gravitational potentials at the star's surface and at the location of the observer/interceptor [5]. The spectra can have also some other than radial contributions [3,6].…”

Section: Introductionmentioning

confidence: 99%

Linear Magnitudes Estimated via Expense of Incompletely Defined Potential Energy were Likely Overestimated by over 3.48 %

Czajko

2014

ILCPA

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Since former definition of work done by any radial/center-bound (central) force field (and consequently thus also of the corresponding to it expense of potential energy of the field) was incompletely defined (so that these two basic notions were valid only for purely radial phenomena), some indirect estimations of those linear magnitudes that relied on the former (incomplete yet always presumed as total) potential energy may have been overestimated. New, operationally complete and thus mathematically lawful definition of total rate of work done by the field implies presence of a certain (experimentally observed but formerly quite unanticipated and thus routinely unaccounted for) nonradial angular contribution to the total potential energy. Hence some previous calculations of those linear magnitudes, which were indirectly estimated via expense of potential energy spent on the work done, may have been quite inadvertently overrated by over 3.48 %. This was because the extra potential energy that is spent on twisting the path that is deflected by the source of the field was disregarded in the former, incomplete definition of work done, even though such nonradial twisting is generally required by proven Frenet-Serret formulas of differential geometry. This present assessment is based upon purely mathematical premises, but similar prior nonradial angular formula utilized here has already retrodicted the 10.56 % excess over Einstein's prediction of deflection of light that was observed in several unbiased experiments, and it has reconciled some other experiments that could neither be explained nor reconciled by general theory of relativity, which, as radial by design, does not account for nonradial or mixed phenomena.

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The Relationship Between Complex Quantum Hamiltonian Dynamics and Krein Space Quantization

Payandeh

2016

Springer Proceedings in Physics

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On conjugate complex time—I: complex time implies existence of tangential potential that can cause some equipotential effects of gravity

Cited by 26 publications

References 52 publications

Galilei was Wrong: Angular Nonradial Effects of Radial Gravity Depend on Density of Matter

Galilei was Wrong: Angular Nonradial Effects of Radial Gravity Depend on Density of Matter

Linear Magnitudes Estimated via Expense of Incompletely Defined Potential Energy were Likely Overestimated by over 3.48 %

The Relationship Between Complex Quantum Hamiltonian Dynamics and Krein Space Quantization

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