I don't know if time travel would work so I think knowledge builds like conservation of information. If time travel in either direction were possible, the light cone would be ruptured.

Warning - This turned into a really long reply. But your reply got me thinking a LOT.

Albert Einstein used Riemannian geometry when formulating his General Relativity. It should therefore be conceivable that another work by Georg Riemann (the Riemann Hypothesis published in 1859) might, with help from Wick Rotation and the inverse-square law, go beyond Special Relativity's statements about the light cone and the speed of light being a cosmic speed limit. Then time travel would be possible - I hope to show that travel can be into either the past or the future.

The Riemann hypothesis, proposed in 1859 by the German mathematician Georg Friedrich Bernhard Riemann, is fascinating. The Riemann hypothesis doesn’t just apply to the distribution of prime numbers but can also apply to the fundamental structure of the mathematical universe’s space-time. In mapping the distribution of prime numbers, the Riemann hypothesis is concerned with the locations of “nontrivial zeros” on the “critical line”, and says these zeros must lie on the vertical line of the complex number plane i.e. on the y-axis in the attached Figure. Besides having a real part, zeros in the critical line (the y-axis) have an imaginary part. This is reflected in the real +1 and -1 of the x-axis in the Figure, as well as by the imaginary +i and -i of the y-axis. In the upper half-plane of the Figure, a quarter rotation plus a quarter rotation equals a half – both quadrants begin with positive values and ¼ + ¼ = ½. (The Riemann hypothesis states that the real part of every nontrivial zero must be 1/2.) While in the lower half-plane, both quadrants begin with negative numbers and a quarter rotation plus a negative quarter rotation equals zero: 1/4 + (-1/4) = 0. In the Riemann zeta function, there may be infinitely many zeros on the critical line. This suggests the y-axis is literally infinite. To truly be infinite, the gravitational and electromagnetic waves it represents cannot be restricted to the up-down direction but must include all directions. That means it would include the horizontal direction and interact with the x-axis – with the waves rotating to produce ordinary mass (and wave-particle duality) in the x-axis’ space-time,* and dark matter in the y-axis’ imaginary space-time.

* The inverse-square law states that the force between two particles becomes infinite if the distance by which they’re separated goes to zero. Remembering that gravitation partly depends on the distance between the centres of objects, the separation only goes to zero when those centres occupy identical space-time coordinates. ^ That is – infinity equals the total elimination of distance, or zero. The infinite, eternal cosmos could possess this absence of distance in space and time (deletion of the 3rd dimension) via the electronic mechanism of binary digits which would make the universe as malleable and flexible as any image on a computer screen. If infinity is the total deletion of distance in space-time, there is nothing to rule out instant intergalactic travel or time travel to the past and future. Infinity does not equal nothing – nor does zero. Zero would be something if it’s paired with one to form the binary digits used in computers and electronics.

^ Quantum mechanics forbids two particles of matter to occupy identical coordinates. But in a universe that is purely mathematical, matter has the same freedom as photons and gravitons (unlimited numbers can be in the same place). Max Tegmark, professor of physics and cosmology at the Massachusetts Institute of Technology in the USA, hypothesizes in his Mathematical Universe Hypothesis that the physical universe is not merely described by mathematics but IS mathematics. The hypothesis seems to be supported by the relatively recent discipline of Information Physics. Tegmark’s categorization of the universe has four levels, with level 4 being altogether different equations or mathematical structures. Building on the Mathematical Universe Hypothesis, these “altogether different mathematical structures” are, in this reply you’re reading, proposed to be topology’s two-dimensional Mobius strips that are formed by base 2 maths (the binary digits of 1 and 0). The Mobius strips are joined as pairs into figure-8 Klein bottles which are mathematically immersed in the 3rd dimension. Then the photon (the fundamental unit of electromagnetism) and graviton (the hypothetical unit of gravitation) are created by, respectively, trillions of Mobius strips and trillions of figure-8 Klein bottles. Adapting Einstein's paper "Do gravitational fields play an essential role in the structure of elementary particles?", these photons and gravitons interact via Vector-Tensor-Scalar Geometry (see (PDF) Graviton-Photon Interaction and Mass Generation: A Vector-Tensor-Scalar Geometry Approach) to produce a space-time united with every form of mass (in Einstein’s terminology, a Unified Field). Wick Rotation is built into the Mobius strips constituting particles to form what is called time (being built into the Mobius and the quantum world, Wick rotation creates the union of space-time).

In forwards time travel, the waves composing mass in the x-axis and y-axis rotate in the counter-clockwise direction. Compare Wick rotation to a DVD that has no end. The future destination is reached by tensor calculus changing the present coordinates to ones in the future. To use a simple example confined to two dimensions: -1,+ i becomes +1, -i. This is interdimensional travel since it incorporates both the time and space elements of the time-space unity i.e. Wick rotation as a subroutine built into the Mobius strips and doublets composing space and mass. Starting the rotation of the gravitational and electromagnetic waves on the x- and y-axes isn’t necessary since the process is natural and already built into the universe. It’s like the natural spins and orbits of electrons or planets – and is responsible for production of mass from energy on the x-axis as well as production of dark matter from dark energy on the y-axis. The counter-clockwise rotation can be accelerated to produce relativistic time dilation, with the resultant interference between photons and gravitons slowing time near the speed of light and within intense gravitational fields). This acceleration means we could arrive in a future century instead of merely going a tiny fraction of a second into the future during the International Space Station’s relatively fast orbit of the Earth. Former NASA astronaut Scott Kelly spent 520 days in the ISS, zooming around Earth at 17,500 mph (28,160 km/h). Because time slowed down for Scott, his twin brother Mark – also a former astronaut, who stayed on Earth - is now an extra five milliseconds older than Scott.

Backwards travel in time is identical to forwards trips except for the coordinates being different and belonging to points in the past. Great benefits will come from a technological time machine using an imaginary computer that performs tensor calculus. “Imaginary” computers are this reply’s proposed real invention that use imaginary numbers, imaginary time and spacetime warping to be capable of performing calculations for potentially trillions of years on the y-axis, then warping them back to the x-axis a nanosecond after input of the problem - no time at all may elapse in “real” time.